{"text":"Question: Let o = -7882 + 7888. Solve 0 = k - 3*k + b - 4, 0 = -4*k + b - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3298 is divided by 154.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3355 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2003 + -2005. Suppose -5*n - 14 = 2*j, j - 5*j = -4*n. Let r be j\/(-7) + (-4)\/14. Put l, 0.2, r, -0.2 in decreasing order.\nAnswer: 0.2, r, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-90))\/((-32)\/72)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/144 and 43\/10384.\nAnswer: 93456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8 - -11. Let z(j) = -j**3 + j - t*j**2 + j**2 - 2*j - 4*j**2 - 3. Calculate z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -885*g = -763*g + 366 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*q**3 + 281795*q**2 - 3970843760*q + 11909995260.\nAnswer: -5*(q - 28178)**2*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 3 = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 7 - 4 = -x, -2*v = -5*x + 29. Let f = x + 5. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -66*g**2 - 2*g + 2*g + 123*g**2 + 0*g + g**2 + 0*g + (5*g + 0*g - 3*g)*(2*g - 4*g + g) + 2*g**2 - 3*g**2 + 0*g**2.\nAnswer: 55*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -3 (c) 0.041 (d) -2\/11 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 40 + -30. Calculate the remainder when 27 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 - 15*l - 27. Give z(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3203 + 3207. What is the nearest to -0.1 in -1\/5, 0.134, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 711282225 - 3?\nAnswer: 711282222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**2 - 660*g - 33709. What is q(-267)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 8*h - 3. Suppose -9*u = -11*u + 4. Let m(x) = 2*x - 1. Calculate u*y(g) - 9*m(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 2*r + 4*g - 20 = 0, -2*g - 16 = -5*r. List the prime factors of ((-2)\/r)\/((-4)\/648).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 191 is divided by 10*-1*3*(-88)\/40.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16700 and 35?\nAnswer: 116900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 26\/234 + 124\/30*8\/(-6). Which is the nearest to p? (a) -2\/3 (b) 5 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -65*v + 21 = -64*v. Suppose 7*o + v*o + 4*o**3 - 24*o**2 - 24 + 0*o + 16*o = 0. Calculate o.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 810 is divided by 234?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 154 + -1076\/7. Factor -4\/7*v**3 + l*v**2 + 0*v + 2\/7*v**4 + 0.\nAnswer: 2*v**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**3 + 12*g**2 - 4*g - 15. Determine a(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes after 4:34 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b + 1. Let u(d) = 2*d - 2. Let h = -15 - -9. Give h*u(p) - 11*z(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1186541 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 123407056 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 48595.62 millennia to months.\nAnswer: 583147440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33, -140, -319, -570, -893, -1288, -1755?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 962 (base 16) to base 8.\nAnswer: 4542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - q**2 + 3*q - 2. Let d = -22 - -23. Let g be t(d). Let c(o) = o**2 - 4*o - 8. Let w be c(6). Solve -w*x - 11 = g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-1616)\/3)\/((-53)\/(636\/8)) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 y, and 1 q when three letters picked without replacement from cscyyyxcssyxxqxc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 20365.88 millilitres in litres?\nAnswer: 20.36588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 199363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -3*j**2 - 5. Let b(v) = -v**2 + v + 1. Give -b(w) + z(w).\nAnswer: -2*w**2 - w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uaunggangggaggauagu. What is prob of sequence ng?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lq when two letters picked without replacement from qqrl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 35\/41 in -2\/17, -1, -0.12, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -322761*w - 7100680. What is h(-22)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6033 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 4*b = -17, -4*b = b + 15. Let z = -1 + v. Let s be (2 + 0\/2)\/z. Which is smaller: 0.01 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 4*c**3 - 4*c**2 - 4*c - 15. Let t(m) = m**3 + m**2 + m - 1. Let o(h) = -a(h) + 5*t(h). What is o(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyy when three letters picked without replacement from ahyhaaqhyhhqy?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 384156 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 + 6*x**2 + 3*x + 2. Let r be p(-6). Let m be 10 + -7 + r\/6. Which is the third smallest value? (a) m (b) -0.08 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 + 4*b + 15. Give a(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (-246)\/(-30) - (3 - (-154)\/(-55))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 260832 (base 10) to base 6.\nAnswer: 5331320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 51396041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/329211 and 31\/197847.\nAnswer: 81315117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*a + 3*s - 763 + 714, -65 = -5*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + 2)*(-5)\/(-10). Solve 0 = 2*y - y + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8817 smaller than -8817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5687892881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 38 by 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2761 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 944 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2535*i**3 - 1221*i**3 - 854*i**3)*((-1 + 5 - 5)*(1 + 0 - 3) - 2 + 0 + 4 + 1 + 1 + 0).\nAnswer: 2760*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -410 (base 5) to base 15\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 106, 90, 60, 10, -66?\n\"Answer: -k**3 - k**2 - 6*k + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 12*x + 2. Let a be j(-8). Let t = a - -57. Let s = 42 + t. Solve 0 = -5*m + s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - -15.881\nAnswer: 18.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3\/43 - -1778\/215. What is the common denominator of -37\/21 and c?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11706, -11696, -11682, -11664, -11642?\nAnswer: -11616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-r**3 + r**3 + 2*r**3)*(-5 + 24 - 21 + 48*r) to the form p*r**2 + k + s*r**4 + i*r + w*r**3 and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gfr when three letters picked without replacement from gergf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + (-3 - -2*3). Let l be 6\/9*60\/2. Suppose -3*x = -x + 4*h - 438, -l = -u*h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 27*b + 9*b + 85 - 265 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 5*x - 475 = 0, -2*d - x + 656 = -6*d. Is 3\/(d\/242)*(-3935)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 3*c - 107 = 0, -3*c - 32 = h - 55. Solve -24*a = -3*j - h*a + 14, -2*j = 3*a - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10874 (base 9) in base 7?\nAnswer: 30133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -8*w**3 + w**2 + w - 1. Let b be a(1). Let z be (b\/(-21))\/((-2)\/(-24)). What is the third derivative of -9*h**2 + 9*h**2 + h**6 - z*h**2 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 594 = -1079*v + 1046*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*r - 36*r = -k + 13, -7*r - 28 = 21*r for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1290.681 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -15884, -43, 1 in descending order.\nAnswer: 1, -43, -15884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-14)\/z*z**(-3\/2)*z)\/(z*z*(z*z**6)\/z*z*z\/(z*z**(-12\/5)\/z)) assuming z is positive.\nAnswer: z**(-269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be 44\/4*(-4 + 3). Let s be 1602\/99 + 2\/k. Solve -3*w = w - s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + 11 + 12 + -12 + (-5 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -38894 equal to -38894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -27*a + 22. Let z(j) = -38*j + 32. Let p(x) = 7*q(x) - 5*z(x). Determine p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 363984*k + 6187729. Give f(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1584*r**3 - 5*r**3 + 601*r**3 + 1564*r**3 + 1 - 580*r**3 to the form a*r + u*r**2 + y + k*r**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4866.69 + -4911. Let n = w - -44. Round n to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1078, 135, 1, 622 in decreasing order.\nAnswer: 1078, 622, 135, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.14937158 rounded to 4 decimal places?\nAnswer: 0.1494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -29*u**3 - 17*u + 53. Let x(k) = 277160*k**2 - 10*k**3 - 277160*k**2 + 18 - 6*k. Give 6*c(f) - 17*x(f).\nAnswer: -4*f**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (85\/(-34))\/((-24)\/(-480)*1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (0*f + f + f)*(-4949 + 348 - 7869) as h*f + q and give h.\nAnswer: -24940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 20*y**2 - 5682*y - 12. Let j(n) = -23*n**2 + 5683*n + 14. What is 6*j(r) + 7*z(r)?\nAnswer: 2*r**2 - 5676*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 145105164 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 2*d - 848 = 0, 5*d + 212 = i - 633. Let s = -850 + i. Solve -3*t + 0*t - o = s, -o = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20170*x**3 + 40357*x**3 + 2*x + x - 20177*x**3 - 3*x.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.6 and 1753.\nAnswer: -1051.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -175041.\nAnswer: -1\/175041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 17 - (-6)\/((-6)\/3). Let n = u - -8. Suppose 5*q + 4*p = -0*q + n, p - 13 = -5*q. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1329 + 441 - 943*z**2 + 914*z**2 + 442 + 447.\nAnswer: -29*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the third derivative of -c**4\/12 - 4*c**3\/3 - 3*c**2. Let v be u(-5). Solve 0 = -3*s + 2*s - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 68243795 divided by 13648759\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 16) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6\/(-10))\/((80\/50)\/8). Sort -5, 2, -1, l in descending order.\nAnswer: 2, -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/4 of a microsecond in nanoseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 634, -5, -4, 5, 14 in ascending order.\nAnswer: -5, -4, 5, 14, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4095 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 2 n when four letters picked without replacement from {f: 6, n: 3, z: 8}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -127*r - 6 = -133*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17765*r**2 + 17771*r**2 + 23*r**3 - 3 - 35526*r**2 to the form v*r**3 + t*r**2 + f + y*r and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -492?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum -212562073 and -0.384.\nAnswer: -212562073.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 970 is divided by -10 - -32 - -211 - (-5)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 103 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k + k + 15*k)*(-13 + 12*k + 18 - 10).\nAnswer: 144*k**2 - 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14 - 8. Let d(a) = 4*a**2 - 2*a - 2. Let j be d(-1). Find the first derivative of 2*b**4 - 2*b**4 - r*b**j + 6 wrt b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n + n + 98445*n**2 - 98576*n**2 + (-3*n + n + 4*n)*(n + 0*n - 3*n).\nAnswer: -135*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 5 - 3 - 2*l + 5*l**3 + 4*l - 3*l**2 + 0. Let g(t) = 4*t**3 - 3*t**2 + 2*t + 1. Let b be (1 + -4)*8\/(-6). Let x(o) = b*g(o) - 3*j(o). Give x(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of -173*k**2 - 174*k + 280. Differentiate m(q) with respect to q.\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 303 (base 4) to base 13\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -29340.66 - -28409. Let z = o + 942. What is z rounded to 1 decimal place?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -47342 less than -490106961?\nAnswer: -490059619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be -9 + 6 + 3 + 0. Suppose 5*d - 2*y = -j*y + 5559, -5*d + 5549 = 3*y. List the prime factors of d.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 + 7)\/(6\/1 - -4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -5*h + 13. Let s(z) = -5*z + 12. Let l(g) = -3*o(g) + 4*s(g). Determine l(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + z + 0*z**3 + 13*z**4 + 13*z**4 + 4*z**4 + z**3 - 26*z**4 to v*z + n*z**4 + p*z**3 + g + c*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10 + 24\/(-6) + 563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 258*p + 11. Let t(q) = -86*q - 4. Calculate 6*c(i) + 17*t(i).\nAnswer: 86*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-36)\/1*((-2)\/8)\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 166 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**2 - 10233567*a - 30700674.\nAnswer: -3*(a + 3)*(a + 3411186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 34990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 19417552, 19417546, 19417538, 19417528, 19417516, 19417502?\n\"Answer: -c**2 - 3*c + 19417556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 125\/13 - 13433\/1443. What is the common denominator of l and -101\/666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23565, -23566, -23567?\nAnswer: -23568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 93*n - 124. Let p(y) = 3*y + 2. Give d(w) + 62*p(w).\nAnswer: 279*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -2. Suppose -n - 4*i + 17 = 0, -r*i = 4*n - 11 - 1. Is (-16 - n)\/(-1) - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-139 - -122) + 23 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 307*n = 313*n + 24. Let j be n*7\/7 + 6. Factor -2\/5*p - 4\/5*p**j + 4\/5 + 2\/5*p**3.\nAnswer: 2*(p - 2)*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 257 and -241665.\nAnswer: -241408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -17*a - 7. Let v(c) be the first derivative of 4*c**2 + 3*c - 1. Let f(b) = 6*s(b) + 13*v(b). Find the first derivative of f(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from tqqtlqqwwlkktkqwktk.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 16649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f + 84 = 26*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 - 17*r**2 + 5*r + 189. Calculate x(-16).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 - s**2 + 3*s + 2. Let q(g) = -g**3 + 2*g**2 - 4*g - 2. Let b(c) = 4*q(c) + 5*r(c). What is b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*b, 3*u = -3*b + 5*b + 128. Solve 12*k + u = -2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, 5, -6, 3775 in increasing order.\nAnswer: -6, -2, 4, 5, 3775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 50304202 (base 7) in base 2?\nAnswer: 1111111001111110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 2*i**2 + 6*i + 4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-3\/5)\/p)\/p**(-8))**(-3\/7) assuming p is positive.\nAnswer: p**(-96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 750234607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2 + (-1345)\/30)*-6. Let q = 285 - d. Solve 3 + 9 = q*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -12159861 by 4053287.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -256*m**3 + 495*m**2 + 786*m + 237. Let w(p) = 1536*p**3 - 2975*p**2 - 4717*p - 1420. Let t(b) = -6*w(b) - 38*x(b). Factor t(v).\nAnswer: 2*(v - 3)*(16*v + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 67534407+2335\nAnswer: 67536742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - 1 - 5) + 7 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + z - 14856 = -8*b, 4*z = 2*b - 4952. Calculate the highest common factor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the second derivative of l**4\/3 + l**3\/2 - 3*l**2\/2 + 2*l. Let z be i(2). Suppose z*r = 16*r + 9. Let q(f) = -f**3 + 3*f**2 + 2*f + 3. Give q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 9 - 3 = 0. Let w(f) = 2*f**2 + f - 7. Let y be w(b). Suppose -y = -3*m - m. Solve a = -2*d - m*d, 4*d = -3*a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*j - 3. Suppose -j*n + 36 = n. Let b be ((-9)\/6)\/((-6)\/8). Solve 0 = 4*o + b*m - 6, -2*o = 4*m - n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1740464 by 217558.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tggg when four letters picked without replacement from {t: 6, g: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1016 - 2?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u. Let j(q) = -6*q + 1. Let p(g) = -j(g) - 4*x(g). Suppose -5*r - 15 = -3*i - 2*i, 5*r - 1 = -3*i. Let s be p(i). Put 1, s, -3 in ascending order.\nAnswer: -3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u = 3*r + 1, -7*r - 4*u = -2*r + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3400359048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**2 + 11*r + 2. Let n be g(-11). Let l = 3 - -3. Suppose -4*f - l - 16 = -m, -35 = -5*m - 5*f. Solve 20 = 5*q, q = -n*p + 3*q - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 13 + 7)*(-8*v**3 + 10*v**3 - 8*v**3) + (-3*v**2 - 5*v**2 + 6*v**2)*(3*v + 4*v - 4*v) + (4*v**3 + v**3 - 6*v**3)*(0 - 4 + 2).\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -80, -317, -964, -2225, -4304, -7405?\nAnswer: -11732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 9.281372 centuries?\nAnswer: 0.9281372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 15361970*-0.1\nAnswer: -1536197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2571288 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2971 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2057091 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3966006 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 37 in 23\/130, -0.2, -1?\nAnswer: 23\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6265*x**2 + 4*x - 6258*x**2 - 4*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2196.5 rounded to the nearest ten?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 107 - 102. Suppose g*u - 766 = 2*f, -5*u - 4*f + 0*f = -748. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*z - 1 + 4*z - 9*z)*(-145*z**4 - 37*z**4 - 26*z**4 + (0 + 0 - 2*z**3)*(0*z + 2*z - z)).\nAnswer: 3780*z**5 + 210*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 156 = 5*i, 2*i + 5*p = p + 72. What are the prime factors of 1\/8*1874 + 21\/i?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5386?\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1220.2559 + -0.2559. Let a = 1789 - r. Let z = a + -569.000239. What is z rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 73.2 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 0*d = 0. Suppose -10*i - 5 = -5*i. Is i at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -17 + 15 - 33\/3. Let n(a) = a + 1. Let g(i) = -3*i + 26. Let m(y) = g(y) + 5*n(y). Let k be m(u). Solve -2*r - 1 + 7 = 4*b, k*b = -4*r + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -4*s + 17 - s + s**3 + 3*s**2 + 18 - 34. Let k be b(-4). Suppose x + 1 = 2*o - 1, 4 = -k*x + 4*o. What is the closest to -1\/3 in 5, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 14 = y, -150*y + 4 = u - 157*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4148*s = 67511 - 349575 for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.03 and -0.19078663?\nAnswer: -0.0057235989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 49167 or 52802?\nAnswer: 49167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of 7003233 and 149269.\nAnswer: 7152502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -p - 12, -8 = 4*k + 4. Suppose 0*j + 0*j**2 + 1\/3*j**p + 0 + j**5 + 4\/3*j**4 = 0. What is j?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 169, 719, 1639, 2929, 4589?\nAnswer: 6619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes before 9:09 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes before 8:47 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*l + 92 + 84 = 0. Solve -x - 5*a - 4 = 0, -5*x + 3*x + 2*a - l = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -23 divided by -11\nAnswer: 23\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ifi when three letters picked without replacement from {f: 1, e: 13, o: 2, x: 1, i: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13214 + -13214. Solve -96*a + 86*a - 10 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*k - 8, -19*u - 2*k = -24*u - 49 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/336748? (a) -0.1 (b) 1\/6 (c) -0.2 (d) 0 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -37602, -304908, -1030458, -2443374, -4772778, -8247792, -13097538, -19551138?\nAnswer: -27837714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/(-8))\/(18\/(-176)). Let p be 422\/(-1899)*18\/8*2\/(-2). Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -1 - (21 - 18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 313 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rqbq. What is prob of picking 1 q and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 4, b: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1391239 to the power of 1\/2, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 3*k**2 + 7*k - 156. Let j be g(17). What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 181.430257 from -0.09.\nAnswer: -181.520257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.141 - -0.2?\nAnswer: 0.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*n - 7389*n**3 - 6*n + 7398*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 2*g**2 - 29*g + 17. Let l be 0 + (-2 - 6)*9\/(-4). What is the tens digit of u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 811070 (base 10) to base 8.\nAnswer: 3060076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-60))\/(68\/4080)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*t - 34*t - 3*z + 43 = 0, 6*t - 86 = 5*z. Calculate the remainder when 3197 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -5*b**2 - 8 - 6*b**2 + 2*b**2 + 8*b**2. Calculate x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 4 + 2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 203, 589, 1177, 1967, 2959, 4153, 5549?\n\"Answer: 101*u**2 + 83*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 165 = 2*h + h. Suppose 3*u = -2*u - h. Let n = -7 - u. Put n, 2, 6 in decreasing order.\nAnswer: 6, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 517 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that x**2\/4 - 41*x\/2 - 623\/4 = 0.\nAnswer: -7, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 10*v - 84. Let k = -77 + 87. Let o = -1 - -3. What is the lowest common multiple of d(k) and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -270e (base 15) in base 2?\nAnswer: -10000010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**2 + 7*h - 3. Let l be d(-8). Suppose -p = -l*p + 12. Solve -p*j - 2 = 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + 0 + 0 - (-9 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(2\/9)\/k*k*k*k)\/(k*k**(-2\/5))*(k*k*k**(-1))**(3\/4) assuming k is positive.\nAnswer: k**(607\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0.3, 246 in decreasing order.\nAnswer: 246, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 65726, 65584, 65442, 65300, 65158, 65016?\nAnswer: 64874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -380*i - 788. What is the hundreds digit of a(-43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -105.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 120336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 u, and 2 o when four letters picked without replacement from {o: 4, i: 3, u: 7}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 95081 and 1454462.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 55 + -27. Let h = t - 50. Let d = 22.034 + h. Round d to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, q: 1, w: 5, b: 4}. What is prob of sequence wcq?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 256, -1, 5, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + 68 = i, -4*i + 1161 = -5*b + 952 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*35.6241.\nAnswer: -10.68723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**2 - m - 1. Let c(y) = -2*y**2 - y**2 + 2 - 13 + y**2 - 31*y. Let q be c(-15). Determine j(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 - -242305285848?\nAnswer: 242305285848.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p\/p**(-4\/5))\/((p**(1\/11)\/p)\/p))**(-49)\/(((p*(p*p**(-1\/4))\/p)\/(p*p*p*p*p*p**(-2)*p))\/((p*p**(-2\/7))\/p)**2) assuming p is positive.\nAnswer: p**(-426683\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 3*f**2 + 6*f - 14. Let z be k(-4). Calculate the greatest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 648*w + 622*w + 23162 = 957*w for w.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of 1\/5*d**5 - 8\/3*d**3 + 0 + 0*d**4 + 0*d + 1\/30*d**6 + 12*d**2. Factor j(q).\nAnswer: 4*(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j + 4*a = 4*j - 24, -3*a - 24 = -5*j. Suppose -4*b + 11068 = j*r - 4*r, 11068 = 4*b + 5*r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 0.3, 73, 3, -44, -2\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 + 547*a**2 + 12023*a - 15198. Determine g(-524).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-5)\/f*f*(f*f**(4\/11)\/f)\/f)\/(f**2\/f)**34*((f**(1\/3))**13)**(-4\/11) assuming f is positive.\nAnswer: f**(-1360\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -248 = -3*p + 82. Calculate the greatest common divisor of 160 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 499 = 3*n + 1745, 3*j - 1326 = -5*n. Let f = j + -450. Sort -106, 0.2, f in decreasing order.\nAnswer: 0.2, f, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*f - 10, 3*i - 55 = -54*f + 49*f for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 335612, 335548, 335440, 335288, 335092?\n\"Answer: -22*j**2 + 2*j + 335632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:30 AM and 12:46 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*v**3 + 290*v**2 - 2975*v + 2680.\nAnswer: 5*(v - 8)*(v - 1)*(v + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 0.0397, 4, -2\/7?\nAnswer: 0.0397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x**3 + x**2 - x**2)*(0*x**2 - 2*x**2 + 3*x**2)*(-3 - 2 + 3).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*f - 2*f - 67*f.\nAnswer: -90*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -19672469, -19672471, -19672473, -19672475?\n\"Answer: -2*p - 19672467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 92 divided by 610356?\nAnswer: 23\/152589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 31 (b) 63 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2922\/4)\/(26\/(-52)). Let u = y + 2081. List the prime factors of u.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*f - 3*f - 1320. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/3*(-9)\/(-75).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.7 - -0.5. Let j = -3.7 - 1.3. Suppose 4*q = -3*t + 34, 78*t - q + 9 = 79*t. Sort k, -3\/2, t, j in ascending order.\nAnswer: j, -3\/2, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1648\/5 - 327. Let z = x + -12\/5. Let w = -229 + 1375\/6. Which is the closest to -1? (a) 0.5 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = x - 175, -3*x + 162 = -w - 311. Is 53 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a = 2*a - 3*a, -4*j - 32 = -6*a for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -35433, -41716, -52185, -66840, -85681?\n\"Answer: -2093*m**2 - 4*m - 33336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(3 + 98\/(-32)). Let y = -272140\/58317 + -2\/19439. What is the second biggest value in 5\/4, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.29 - -317.553?\nAnswer: 317.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be -6*(-9)\/(-15)*-25. Let u be l\/8 - 1\/4. Let b(h) = 5*h + 2. Let i be b(3). Solve 5*o = -3*a - i, -o + 2*a = -a - u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the second derivative of -h**4\/12 + 7*h**3\/6 + 22*h**2 - 35*h. Let c be z(11). Solve c = a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 + 23*r**2 - 21*r - 22. Let p(d) = 6*d**2 - 2. Let a be p(2). Let g be m(a). Differentiate 13 + 7 + g - 7*w + 2 wrt w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -48 + 51. Solve m - l*m = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6566058 or -6566056?\nAnswer: -6566058","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 226 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 9827.508 years to decades.\nAnswer: 982.7508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = p - 4*x, -3*p = -4*x + x + 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -7*c**2 + 5*c + 4. Suppose 0 = -3*t - 3, -12 = h - 0*t + 5*t. Let y(v) = -22*v**2 + 16*v + 13. Let i(s) = h*n(s) + 2*y(s). Factor i(r).\nAnswer: (r - 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/209742 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -4*u**3 - u - 1. Let d be v(-1). Suppose 0 = -d*c - c + 20. Suppose c = k - 15. Solve w - 2*w - 1 = n, -5*w = -n - k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -554\/5 - -111. Let v(z) be the first derivative of -3\/5*z**2 + 3\/5*z + 3 + t*z**3. Find q, given that v(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 4171231, 8342458, 12513685?\n\"Answer: 4171227*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 84880 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 17 = 3. What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*p + 99*p**2 + 158*p**2 + 96*p**2 - 408*p**2 + 8 in the form u + m*p**2 + i*p and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(637) - sqrt(637)*1) + (sqrt(13) + 1*sqrt(13))*-5.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 139168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 19240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -26, -27, -26, -23, -18, -11?\n\"Answer: c**2 - 4*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3612, -3611, -3610, -3609, -3608?\n\"Answer: y - 3613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 2108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -4 - 16. Let t = 0.04 + -4.04. What is the smallest value in 8, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-78)\/(-22) - 516\/172.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/((-2)\/84*1). Let a = 5 - 3. Suppose 3*t = 4*j + 92, a*t + 120 = 6*t - 4*j. Calculate the greatest common factor of t and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b + 2*b + 20 = 0. Let l = 8 - b. Solve 0 = -6*r + l*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 25 - 23 = 0. Let t(k) = k**2 - 2. Let n(i) = 7*i - 6. Let s(j) = j - 1. Let m(w) = n(w) - 6*s(w). Calculate c*t(l) - 2*m(l).\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00005299444 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.076 + 1.216. Let b = -2.08 + n. Let f = b + 6.04. Round f to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/8, 3\/50, -1\/2, 5, -13\/7 in descending order.\nAnswer: 5, 3\/50, -1\/8, -1\/2, -13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -57\/22, -3, 60 in descending order.\nAnswer: 60, -57\/22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-138)\/8)\/((-3)\/(-6))*-2 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 345*h**3 - 3*h**2 - 2*h + 7. Is l(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v - 3*v - 3*m = 15, 0 = -5*v - 4*m - 20. Which is the closest to v? (a) 0 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*b - 4*b + 36*b + 101*b.\nAnswer: 117*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 0 - 7*b**2 + 1 - 2 - 6 wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 20*h - 2853. Let c be i(98). Which is bigger: -8042\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2 + (-1)\/((-1)\/(-14)))*(-20)\/20. Put 3\/4, 0.52, x, 5 in decreasing order.\nAnswer: x, 5, 3\/4, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 5*x - 8 = 0, 4*u - 32 = -36*x + 41*x. Find the second derivative of -5*y**u + 8*y**3 + y**3 - 21 - 3*y**3 - 3*y + 80*y**5 - 2*y**3 wrt y.\nAnswer: 1600*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2376186 or 40395184\/17?\nAnswer: 40395184\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-6*((sqrt(108)*-2)**2*-1 - (1 + sqrt(3)*-4*5))*5.\nAnswer: -12990 + 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 317 = -4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - -11001?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000054648 rounded to 6 dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-10)\/(-50)*0)\/1. Solve -8*c - 8*c + 80 = o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 3*n = 4. Let g be (-1)\/4 - 18\/(-8). Suppose -n*w = g*k - w - 69, -3*w = -15. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16 + -14. Solve -y*g - 9 + 3 = 2*u, -5*g = -u + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 581.8274286 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n + 6. Let p be l(7). Let t be -40*(-2)\/83 + p. Let c = t - 1055\/664. Calculate the common denominator of c and -51\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 247657 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3364 = 2*l + 3356, -5*l + 19 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -t + 0*t = 2*s - t - 4*t - 8, -5*t = 15 - 25 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1326441 (base 7) to base 14.\nAnswer: 47b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/25)\/((-7)\/(-35)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:02 PM and 9:29 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17042050*k*r + 16172143*k + 2 wrt r.\nAnswer: -17042050*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 92672937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -3*l - 5. Suppose -7*q + 44 = 2. Suppose -q = -s - s - 5*m, -8 = s - 3*m. Let v be d(s). Let h(n) = -5*n + 1. Give h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + 21999a94?\nAnswer: 21999a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2940, -2950, -2960, -2970, -2980?\nAnswer: -2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(-4\/7))\/y)\/(y**(1\/2)*y)*y**(-4)*y**(1\/11)\/y*((y\/((y*y\/((y*y**(2\/9)*y)\/y))\/y))**(-2\/49))**(-34) assuming y is positive.\nAnswer: y**(-40181\/9702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 13021 (base 4) to base 10.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)*1 + (-1 + sqrt(5) + 5)**2 + -5.\nAnswer: 16 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -66, -139, -212?\n\"Answer: -73*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131612 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28, -252, -558, -940, -1392, -1908, -2482?\nAnswer: -3108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/(-1*12\/(-20)). Suppose -g*u = -7*u - 6. Suppose u*m - 5*x - 43 = 0, 4*m = x + 77 + 36. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-17 - (-17 - -14) - -9) + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f - 3407 + 3359 = -j, 5*j + 6*f = 72 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -1. Let c(a) = 2*a**2 - 3 - 4*a + 2*a - a**2. Let l be c(4). Suppose 0 = -z - 0*z + 5*w, l*w - 20 = -3*z. Let g(s) = 2*s + 5. Give z*v(f) + g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 40474\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4309\/16 + -2155\/8. What is the closest to q in -2\/3, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 273765*y. Let v(j) = 20*j**2. Determine p(v(h)).\nAnswer: 5475300*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 10862231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**3 + 8*w**2 + 8. Let b be n(8). Let f(z) = 2*z**2 + 3*z + 2. Let o(q) = -6*q**2 - 8*q - 5. Determine b*f(j) + 3*o(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33758 is divided by 422?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/5*s + 1\/5*s**2 + 4\/5.\nAnswer: (s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 735 (base 15) to base 7\nAnswer: 4511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1263.1225355 less than -0.05?\nAnswer: 1263.0725355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -0*b - 5, b + 97 = 3*f. What is the highest common factor of 136 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 9, j: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2097 + 3630. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 1038*p - 1034. Give l(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = -3*s - 19, 6169*b = 4*s + 6171*b + 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y + y**2 - 2*y + (1 + 3 - 3)*(3 + y**2 - 3) + y**2 - y**2 + 2*y**2 + y**2 - y**2 - 2*y**2 + (4*y - 3*y - 3*y)*(-6*y + 2*y + 7*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qrr when three letters picked without replacement from mrzbzrzqrzr?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 22511.4 to the nearest ten.\nAnswer: 22510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/48, 4, -0.4, 2\/207.\nAnswer: -0.4, 2\/207, 1\/48, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 44 - 66. Calculate the common denominator of (-60)\/u + 4\/(-2) and ((-2)\/18)\/(2\/(-124)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12.5 - 13. Suppose -w + 20 = -4*z, -17*z + 12*z - 24 = -w. Sort k, 0.6, w in increasing order.\nAnswer: k, 0.6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 - -8. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/40 and -25\/852.\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (0 + -2) - (3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nif when three letters picked without replacement from {j: 4, f: 10, n: 4, i: 1}?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*u - 4*u - 3*u)*(10*u - 5*u + u)*(-2 - 3 + 3)*(-1 + 0 + 3).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 20.001 take away 1.96?\nAnswer: 18.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -136 + 137. Let n be ((-4)\/(-8))\/((4\/72)\/o). Let i be (-6)\/n*-3 - 0. Solve f - i = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, 0, -7, -0.4, 2.6, 2\/17?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -7*p - 358 + 723 - 363. Let h(x) = x - 1. Determine h(n) + v(n).\nAnswer: -6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 22626 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 10.1158 and 0.945.\nAnswer: 9.559431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26794 is divided by 1276.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1181609 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 962051863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 45962128 and 365504?\nAnswer: 183848512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-110)\/15)\/((-3586)\/6846).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -29*s**2 - 9503*s\/2 + 738.\nAnswer: -(s + 164)*(58*s - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -1. Let i(w) = w - 13. Give -i(c) - 2*v(c).\nAnswer: -c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 665 = -5*z + 3*r, -3*r = 2*z + 276. Let u be z\/(-18) - 2\/4. Let c(b) = -b**2 - b + 3. Let g be c(0). Solve 5*y = g + u, -4*y = -3*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*g - 25*g + 24 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 2 = -x - 21, 5*x + 5*w - 35 = 0. Let y be (3 - 2)\/((-2)\/(-50)). Suppose -y = -x*p + 5. Calculate the greatest common divisor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19*a**3 - 2*a**2 - 92*a wrt a?\nAnswer: 114*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 674935347 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract -10 from -217.71.\nAnswer: -207.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-46*v**3 - 10*v**5 + 46*v**3)*(5 + 0 - 3) + (-v**3 + 0*v**2 + 0*v**2)*(-69*v**2 - 11 + 11).\nAnswer: 49*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 - 6*o**2 + 10*o - 10. Is m(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 432, 419, 392, 345, 272, 167, 24?\n\"Answer: -f**3 - f**2 - 3*f + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 362867779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5)\/5 + 6\/5. Let q be (-2 + 14\/4)\/(-6). Which is the third biggest value? (a) y (b) q (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttvxvtxcxn. What is prob of sequence cxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + v = 16453, 3*t = 4*v - 2*v - 24682. Let m = t + 25700002\/3125. Let p = m - 90657\/50000. Calculate the common denominator of 131\/6 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2501363 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 18 + -1 + 1 - (859 - 936)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2)*u*u\/u**(1\/3))**(2\/9)*(u**(1\/4)\/u**6)\/((u*u\/u**(2\/5)*u)\/u*u\/((u*u\/u**(-2\/3))\/u*u)) assuming u is positive.\nAnswer: u**(-3109\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 11*x**3 + 5*x**2 - 4. Let t(l) = -6*l**3 - 3*l**2 + 2. Suppose -4*c - 2*h = -22, -5*h = -4*c + 3*c - 22. Calculate c*j(z) + 5*t(z).\nAnswer: 3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 3*k - 995. Let f(o) be the second derivative of o**3\/2 + 5043*o. Determine c(f(a)).\nAnswer: 9*a - 995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -a**2 + a**2 - 2*a**2 + (2 - 3 + 2)*(-501*a**2 - 298 + 298) - 1 + a**2 + 0 - 3*a**2.\nAnswer: -505*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 + 9*c**2 - 4*c - 31. Let i be p(-9). Solve 33 - 38 = -i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-31 - -34) + (5 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 704666795 and 2030.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 - 5*u**2 - 6*u - 5. Let w be i(-4). Suppose 3*k - 6*k = -m + 10, -3*m + 6 = -w*k. Let f = 17 - k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -488330880 to the nearest 100000.\nAnswer: -488300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 41 = 5*t, -2*d + 18 = 2*t - 8. Calculate the greatest common divisor of d and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91 a factor of 141414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(5*(4 + (-1 + sqrt(176))*-2))**2.\nAnswer: -2400*sqrt(11) + 18500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 3*y = -2*a, 5*a = 4*y. Let o(m) be the second derivative of -1\/6*m**4 - 1\/6*m**3 + a + 0*m**2 - m. What is the second derivative of o(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 110323 + -1303?\nAnswer: 103020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 200\/60*-3*(-3)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*w + w + 0*w)*(-w + 12*w + 4*w).\nAnswer: 135*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 110828*x. Let t(w) = 2*w**2. Give r(t(p)).\nAnswer: 221656*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 9471 divided by -12?\nAnswer: -3157\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = 4*x - 26*t + 24*t, -4*x + 8 = 2*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9926552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -0.018 (b) -1\/3 (c) -1.2 (d) 0.05 (e) 5 (f) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {t: 2, j: 3, c: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 15748227883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -568\/99 - -68\/11. What is the biggest value in -17, 1\/8, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of -889*i**6\/10 + i**5\/15 - 215*i**4\/24 + 2*i**3\/3 + 5*i**2 + 49*i + 2. Find the third derivative of h(r) wrt r.\nAnswer: -64008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-2) + (-12)\/6. Let s be (15 - 24)\/(c + 1). Let m(g) = -g**3 - 11*g**2 - 19*g - 7. Let q be m(s). Let f(l) = l**2 - 4*l + 3. What is f(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66266 = -0*z + 17*z. Suppose -60*v + 62*v - z = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(-5))\/(t*t*t**2\/t)*t**4*t**(-2\/7) assuming t is positive.\nAnswer: t**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 - 119 = -4*f. Suppose -9*p + 306 = -893 - 1060. What is the remainder when p is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-3\/4)\/y**(-12\/7))**(-2\/97) assuming y is positive.\nAnswer: y**(-27\/1358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3111063396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12085935 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the first derivative of g**4\/4 - 4*g**3\/3 - 5*g - 6. Let j(x) = 9*x**2 + 3*x + 2. Let a be j(-1). Let c be 7\/28 + 30\/a. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-15)\/((-150)\/(-4)))\/(36*2\/15)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 8 - (-1 - (-2 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 7, s: 12}. Give prob of picking 1 d and 2 s.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2\/435 + 176\/435. Factor -2\/5*t + 2\/5 + 2\/5*t**3 - f*t**2.\nAnswer: 2*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000719042377 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 594\/(-891)*-15*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -7*v + 10. Suppose 2*j - j = -v*f + 7, -34 = -4*f + 2*j. Suppose 2 = -2*o + f. Solve -o*d - 7 = 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -247, -598, -1183, -2002?\n\"Answer: -117*n**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2760 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-39)\/(-9) + 2\/3. Suppose d + 3*i = 0, y*d + 3*i = -0*i. Suppose 0 = -d*g + 5*g - 55. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 144211*d**5 + 23*d**2 - 1367*d wrt d?\nAnswer: 8652660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*g**3*w**2 + 137311*g**3*w - 65*g**3 + 3*g**2*w**2 - 4*g**2*w - g**2 + 30*w**2 - 4613*w wrt g?\nAnswer: 18*w**2 + 823866*w - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -7*p**3 - 6*p - 9. Suppose d + 2*y + 376 - 386 = 0, -38 = -5*d - 4*y. Let f(m) = -7*m**3 - 5*m - 8. Calculate d*f(h) - 5*r(h).\nAnswer: -7*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + 2 - -2 - -25. Suppose 3*j = -3*x - 3, -x - 2*x + 3*j = k. Let b be -2 + (-5)\/10*-2. Put x, b, 2 in decreasing order.\nAnswer: 2, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56 = -6*w + 2*w. Suppose -5*x + 13 = 2*h, -5*h + 60 = 5*x + 20. Calculate the smallest common multiple of 56\/h - 2\/9 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lepzzlzzp. What is prob of sequence zle?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 813 + -511. Suppose -163 = -2*t - o, 154*o = 4*t + 157*o - 335. What is the remainder when c is divided by t?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1103, 2253, 3401, 4547, 5691, 6833?\nAnswer: 7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -50 (b) 107 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - 36\/(-21)*(-49)\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-4)\/b**(-7\/4))\/(b**(3\/10)\/(b\/((b**(2\/9)\/b)\/b*b))))**(-43) assuming b is positive.\nAnswer: b**(5977\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 143577?\nAnswer: -143602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 221.54 and 0.2.\nAnswer: 44.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, j: 1, d: 3, f: 5, q: 1}. Give prob of sequence wffq.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -8358*p**2. Let q(c) = c**2. Determine q(u(a)).\nAnswer: 69856164*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 650242945?\nAnswer: 5, 11, 17, 695447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -33 - -52. Let q = -45 + 50. Suppose 5*r + 3*v - 29 = 0, v + 37 = q*r - 0*v. What is the remainder when s is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.04? (a) -0.1 (b) -29 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 139*w**2 + 7 + 135*w**2 - 337*w**4 - 272*w**2 + 6 - 12 to the form n*w**4 + m*w + b*w**2 + t + y*w**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 210*s**2 - 53 + 209*s**2 + 213*s**2 - 844*s**2 + 211*s**2.\nAnswer: -s**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 42\/1375 and 45\/577489?\nAnswer: 72186125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/6868 and 131\/12.\nAnswer: 20604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h = -14*h + 498. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 3*h**2 - 12. Let f(d) = -16*d**2 + 61. Let i(p) = -11*b(p) - 2*f(p). Determine i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (7 + 15 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5, 23, 41, 59?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 4091, 16355, 36795, 65411?\n\"Answer: 4088*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*c - 0. Let q(y) be the third derivative of y**6\/120 + y**5\/30 - 5*y**4\/24 - y**3\/3 + 2*y**2 - 159*y. Determine q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 354*p**2 - 26 + 58 - 38*p**2 - 32.\nAnswer: 316*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 1:54 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -54951 divided by -4227\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 AM and 1:37 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) 0.02 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 - 27*m**2 + 10*m - 54. Let q be a(27). Let r = q + -219. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44195.47mm in kilometers?\nAnswer: 0.04419547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 50277*h + 840 = 50333*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - 2) + (-5 - -4). Let a = 6 + v. Let k(z) = -2*z + a*z - 6*z - z. Let j(o) = 2*o. Determine k(j(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 20 = 5*b. Solve o + 3*p = 6, 4 = 3*o - b*p - p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 277*q**2 - 18. Let u(l) = 276*l**2 - 16. Let b(t) = 6*u(t) - 5*z(t). Is 77 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 - q. Let w(h) = -513274 + 6*h**2 + 6*h + 513270 + h**2. Give -6*v(c) - w(c).\nAnswer: -c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand j**5 + 3*j**5 - 7*j**5 + (81*j**5 + 437*j**5 - 188519*j**2 + 188519*j**2)*(1 - 3 + 1).\nAnswer: -521*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1202020 + 2001021121?\nAnswer: 2010000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (9 + -21 - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 2\/7*j**2 + 0 + 4\/7*j = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -31663 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -4004281.532 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**16\/((j*j**(-16)*j)\/j)*j*j**(-14)*j**5*j assuming j is positive.\nAnswer: j**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**2 - 9*b - 17. Let f = 10 + -14. Let j be z(f). Find the second derivative of 12*n - 7*n + 8*n**j - 8*n wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4251 * 31.23.\nAnswer: 132758.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 596378 is divided by 18608.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {i: 1, x: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 10, 22, 36, 52?\n\"Answer: s**2 + 9*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add 144.76832 and 0.024.\nAnswer: 144.79232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-3)*156\/8. Let i = m + 22. What is the remainder when 25 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 24548, 48461, 72362, 96257, 120152, 144053?\n\"Answer: c**3 - 12*c**2 + 23942*c + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the second derivative of -r**5\/20 - r**4\/2 - r**3\/6 - r**2\/2 + 2*r. Let k be b(-6). Let i = k - 0. What is the smallest common multiple of 8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5292077 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 13 + 9*w**3 - 22 + 3*w**3 + 15*w**3 - 18*w**3 - w as m*w**2 + g*w + s*w**3 + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -22, -50, -82, -118, -158, -202, -250?\n\"Answer: -2*c**2 - 22*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 759 or 1307?\nAnswer: 759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*t - 92 = -35 + 48 + 51. Find r such that 0 - 2\/11*r**5 - 2\/11*r**t + 0*r**2 + 4\/11*r**4 + 0*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/5))**26*(u**(-1))**3 assuming u is positive.\nAnswer: u**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*m + 3*m - 2*y - 3160, y + 5 = 0. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes before 3:14 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 123882.9 - 4?\nAnswer: 123878.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 2*w - 2*d - 518, -2*d - 262 = -w. What are the prime factors of w?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2588789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3665076977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/6 - (-1133)\/33. Let f = r - 31. Solve f*a + 0*a = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(95))\/sqrt(5) - (sqrt(1900) + -3 + sqrt(1900))**2) + 5*(-3*sqrt(76)*-1)\/sqrt(4).\nAnswer: -7609 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 558 or 555?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes after 5:51 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*t**6 - 10*t**4 - 583*t**2 wrt t?\nAnswer: -1800*t**3 - 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 124425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 987 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (100\/6)\/((-2)\/156000). Round c to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 239 - 0.29505517.\nAnswer: 238.70494483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 divided by -465687.\nAnswer: 26\/465687","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2161?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (5 + sqrt(363) + 0 + sqrt(363) + 2 + -3*sqrt(363)*-2 + 0)**2.\nAnswer: 1232*sqrt(3) + 23282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/3*(13 + -10)*705\/(-940)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 3*x**4 - 231*x**3 + 5526*x**2 - 39840*x - 45600 = 0.\nAnswer: -1, 20, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 33*z**2 - 10*z. Let u be b(2). Let t be 202\/3*7\/(u\/12). Which is bigger: 52 or t?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the third derivative of 36*n**7\/7 - n**4\/12 - 379*n**3\/3 - n**2 - 37. What is the second derivative of u(p) wrt p?\nAnswer: 12960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*l + 60*m - 62*m - 92*m + 8, -5*l + 2*m + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 16*a**2 - 9676*a - 2420 = 0.\nAnswer: -1\/4, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 69 - 72. Let c be 1 + -1 - (-1 + 5). Which is greater: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the third derivative of 1\/360*n**6 + 0 + 0*n**4 + n**2 + 0*n + 0*n**5 + 1\/6*n**3. Let c(y) be the first derivative of z(y). Factor c(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m**4\/11 + 164*m**3\/11 - 466*m**2\/11 + 416*m\/11 - 120\/11 = 0. What is m?\nAnswer: -30, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -3*k**2 - 130*k - 44. Calculate the least common multiple of y(-42) and 36.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-220)\/(-5) + (-1)\/1. Suppose 6*f - 3*f = 21. Suppose f*d - 174 = a. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 280088.6g in nanograms?\nAnswer: 280088600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 3:48 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 802266587 to the power of 1\/3, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1 (b) 0.11 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of 20*p + 0 - 31\/12*p**4 + 0*p**3 + 0*p**2. Let q(o) = o. Calculate q(r(j)).\nAnswer: -31*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3956993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 460 - 17936\/39. Let x = 31\/78 + n. Sort -4, x, -1\/9.\nAnswer: -4, -1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 91 + -5?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l*l**(-3)*l*l)\/l)\/(l*l**32))\/(l\/(l**3\/l*l)*l*l\/(l**(4\/5)*l)))**(-40\/7) assuming l is positive.\nAnswer: l**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum 2020.879 and 32954.\nAnswer: 34974.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + b - 10 - 8 = 0, -3*q + 50 = -b. Suppose 237 = 5*y + q. Suppose 0 = 2*v + x - 21, -3*v + 3*x + 0 = -45. What is the remainder when y is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -2*r, 4*d - r + 218 = r. Let j = 91 + d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/((-560)\/(-42)))\/(-6)*4*-21*3.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, x: 2, o: 4, l: 2, r: 1}. What is prob of picking 3 o and 1 p?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(-17))**(6\/25)\/(i**(9\/4))**22 assuming i is positive.\nAnswer: i**(-2259\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the second derivative of t**7\/63 - 466*t**6\/45 + 54289*t**5\/30 - 815*t. Factor x(f).\nAnswer: 2*f**3*(f - 233)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 21*d + 1. Let v be t(3). Suppose 3*o - v = -o. Find the common denominator of -123\/20 and 42\/36*66\/o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from inniinnninniiinnnnn.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 1 = -z - 13, 4*z = -4*j - 96. Let w be (-16)\/z*(-14)\/(-4). What is the second derivative of 6*n + 3*n - 8*n + w*n**5 wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 2*u + 6 = 4*z, 2*z = -2*u + 8. Which is the smallest value? (a) 27\/2 (b) 0.4 (c) u (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -5. Suppose -39 = -x*l - l. Suppose 9*d - 38 = 79. Calculate the greatest common divisor of d and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 2:00 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 198 - 198.1. Which is the second biggest value? (a) 2.3 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5462 - 1?\nAnswer: -5463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2568434049?\nAnswer: 3, 95127187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 307*s - 21783. What is h(71)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -86*l**5 + 28*l wrt l.\nAnswer: -1720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 9 (base 14) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-28)\/1295)*-9*8\/(-180)\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2867229 and 1?\nAnswer: 2867229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 - 38 = 8*g. Let a be 6*1*g\/(-273). Let l be ((-6)\/28)\/(4\/(-14)). Sort l, a, 0 in descending order.\nAnswer: l, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 4*l = 132586, -11*y + 220984 = -6*y + 3*l. Does 41 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + p + 39 = 0. Let z = -36 - p. Suppose -2*y - 2 = -r, -z*y - 3 = 5*r - 0. Solve r = 2*t - 3 + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 228483 and 318.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-28)\/8*2)\/((-80)\/2) and -17\/23.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**2 + i - 10. Let n be w(-6). Let q = -23 + n. Let y(d) = d**3 + 3*d**2 + d - 3. Determine y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -5529, -5729, -6059, -6519, -7109, -7829?\n\"Answer: -65*z**2 - 5*z - 5459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1987 and -688.68?\nAnswer: -1368407.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 54*h**2 - 10*h**2 - 218 + 218 in the form k + a*h**2 + n*h and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**5\/5 + 156*o**4\/5 - 159*o**3\/5.\nAnswer: 3*o**3*(o - 1)*(o + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7864 is divided by 2609.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**2 - 3. Let n(t) = -14*t - 156. Let f be n(-11). Let q(j) = 2*j**2 + j + 7. Give f*q(h) - 5*g(h).\nAnswer: h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13532 + 143011?\nAnswer: 125035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3157 less than -1962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + h = -41, -4*b + 0*h = -3*h - 51. Suppose -865 = 4*j - b*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16239812 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 7 - d**2 + 5 - 145*d + 2*d**2 + 149*d - 24. Determine r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38098133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 23*n**2 + 3*n + 3. Let h = 7 + -6. Let j(a) = -16*a + 2*a**2 + 6*a**2 + 17*a + 2 - h. Determine 6*f(w) - 17*j(w).\nAnswer: 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 142007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 - 12*v - 13. Let g(k) = -3*k**2 - 24*k - 25. Let r(o) = -5*f(o) + 2*g(o). Let n be r(12). Solve 0*t + 5*t = -n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + k - 5*k + 36 = 0, -5 = -5*k. Suppose 2*g + 3*o + 2*o + 10 = 0, -2*g - y = 4*o. Solve g = 2*b - 11 + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qo when two letters picked without replacement from oooooqoqooooqo?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-38))\/(348\/(-3306)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of a**5 - 1\/7*a**7 + 4*a**4 - 14\/15*a**6 - 7\/3*a**3 - a - 10*a**2 - 22. What is l in b(l) = 0?\nAnswer: -5, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 574? (a) 3\/7 (b) -11 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 603 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-55 - -56) + -2 + 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28507, -28525, -28553, -28597, -28663, -28757, -28885?\nAnswer: -29053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 3*l + 1. Let h(m) = 137*m**2 + 2*m + 1. Let a be h(l). Let d = -92 + a. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 - 17*z**2 - 64*z - 12. Let m be g(-11). Is -3 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 395 - -893. Is 16 a factor of m\/5 + 63\/(-105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 441480671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 195 divide 46484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1927, 1944, 1965, 1990?\nAnswer: 2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 11 - 44. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(2 + (sqrt(52)\/sqrt(36) - (sqrt(13) - ((sqrt(91) + sqrt(91)*-2)\/sqrt(7) + sqrt(13)))**2)).\nAnswer: -66 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4 + (-5 - -18))\/1. Let h(c) = c**2 - 8*c - 9. Let n be h(9). Suppose 7*b - 4*b = n. Solve b*g = -3*g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 265 - 134 - 131 + 6*y**3 - 4*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4895 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2743.\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -780 = -4*m + 4*j, 0*j + j = 3. Calculate the highest common divisor of m and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -433 (base 9) to base 11.\nAnswer: -2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 1792*x - 98728. Calculate l(55).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-6))\/(((-9779)\/10626)\/(-127))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -119860 by -461.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 228975, 228994, 229011, 229026, 229039?\n\"Answer: -i**2 + 22*i + 228954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 12514 from -95771.3.\nAnswer: -108285.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32 + 56. Suppose -27*p + v*p = -24. Calculate the least common multiple of p and 158.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 711101 and 0.2.\nAnswer: 142220.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (4\/(-7))\/(546\/(-147)). Which is the second smallest value? (a) 1\/4 (b) u (c) 2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*d**3 - 144*d**3 + 41*d**2 - 31*d**3 - 41*d**2.\nAnswer: -180*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 0 - 43*f - 2 - 2. Let v be k(-3). Round v to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 5*v + 30 = p, 2*p = 5*v + 59. Suppose 5*u + 2*r - 8 = 0, -2*u + 8 = r - 5*r. Suppose u*a = 46 + 20. Calculate the common denominator of a and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23900841 divided by 405099.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 86354, 86349, 86330, 86291, 86226, 86129, 85994?\nAnswer: 85815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 4.6616314 to 2 decimal places.\nAnswer: 4.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {q: 4, t: 5, g: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -2862.25615 rounded to 0 decimal places?\nAnswer: -2862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2. Let c(s) = 2661*s - 63. Let u(b) = 5500288*b - 130242. Let f(d) = 6202*c(d) - 3*u(d). Calculate f(k(p)).\nAnswer: 2658*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -101, -116, -143, -188, -257, -356, -491?\n\"Answer: -t**3 - 8*t - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 4*w**2 + w + 7. Let q be o(6). Let i = q + -74. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 31*b - 32*b - 20 = 0, -4*q - 3*b = 28. Let y(z) = 3*z**2 + 5*z - 4. Calculate y(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**3 - 11*s**2 - 9*s + 13. Let f be w(-10). Solve f*u = -2*j + 5 - 0, -4*j + 5 = u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6246.06201 - -6246. Round s to 3 decimal places.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -96782.06798 + -1.93202. Let j = -96784.048083 - m. Let h = -0.048 - j. Round h to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5004*n + 5004*n + 3512*n**3 + (-2 - 2 + 2)*(n**3 - 1 + 1) as i + c*n**2 + l*n + r*n**3 and give r.\nAnswer: 3510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of -25\/3*s**3 + 176 - 5*s**4 + 1\/2*s**5 + 10*s**2 + 45\/2*s. Find k such that h(k) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 0, 1026, -1.8, 8, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7413857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2915710750 minus 0.03?\nAnswer: 2915710749.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 394 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 40 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 0.93596.\nAnswer: -2.80788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**4 + 5*n**4 + 0*n**4)*(38 + 24*n - 38)*(-1 + 0 - 1).\nAnswer: -144*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 105, 108, 111, 114?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -281 - -250. Let f(a) = -71*a**3 - a + 1. Let w be f(1). Let h = g - w. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 319*u - 3157 - 71203 = -2541*u for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12544 + -12168. What is the smallest common multiple of 12 and r?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 19\/(-3) - 3\/(-9). Let d = 4 + j. Let b(n) = -9*n**2 + 4*n - 4. Let g(s) = s**2 - s + 1. Let i(a) = -b(a) - 6*g(a). What is i(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j + 17. Let v be g(-13). Let t(n) = 3*n - 4. Let r(h) = -h. Let o(u) = 2*r(u) + t(u). Let b be o(5). Calculate the highest common divisor of b and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 622.65+-15.3\nAnswer: 607.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 826, 1627, 2448, 3295, 4174, 5091?\nAnswer: 6052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 - -9. Calculate the remainder when 29 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -3*b + 5 - 59, b + 14 = i. Let h = -6 - -8. Suppose h*d + 24 = 5*d. Calculate the lowest common multiple of i and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1393619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6032 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 426 and 2026553?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let d = 1.2 + -1. Let y = 320 - 2236\/7. Which is the nearest to -2\/21? (a) 1 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -4*g**2 + 31*g - 12. Let r(y) = 4*y**2 - 30*y + 13. Let a(u) = -2*q(u) - 3*r(u). Give a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8079, -8818, -9557?\nAnswer: -10296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j + l - 12 - 2, 0 = 2*j - l - 1. Calculate the remainder when 18 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.57 - 22.43. Let m = t + 23. Is 10 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 1.028 (b) 1\/2 (c) -4 (d) -6 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.0084 and 13.072938.\nAnswer: 13.064538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - -2. Which is the nearest to -2? (a) 1 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6*d**3 - 66*d + 722 wrt d?\nAnswer: 18*d**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 18 = u + 4*s, -4*u - 1 = -3*s. What is y in -4\/5 - 2*y**u + 14\/5*y = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192 = -14*c + 18*c. What is the remainder when 61 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eet when three letters picked without replacement from ttttttettteettd?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -56695158 divided by 6299462.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 23559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 145952.9.\nAnswer: 29190.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 33286550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 257.9, -2\/11, 11.9 in decreasing order.\nAnswer: 257.9, 11.9, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2681 > 2683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 13519099739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 27\/2, 7, 651, -2\/3, -4\/9, 0.06, 4?\nAnswer: 651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3 + -2)*(-7 - -23). Suppose k*h = 991 + 689. Is -3 + (-80)\/(6\/h*-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -939638, -1879260, -2818870, -3758462, -4698030, -5637568, -6577070, -7516530?\n\"Answer: t**3 - 939629*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((3 + sqrt(612) + 1)**2 + -4)*1*6.\nAnswer: -7488 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/3384 and -79\/47470.\nAnswer: 1708920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5361269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2 - 59046664*j - 435813566191112.\nAnswer: -2*(j + 14761666)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -10\/1057 and 73\/23100.\nAnswer: 3488100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the second derivative of j**4\/6 + 7*j**3\/6 - 2*j**2 - 18*j. Let i(v) = -2*v**2 - 8*v + 5. Determine 7*b(g) + 6*i(g).\nAnswer: 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) 2\/297 (c) 1\/3 (d) 0.4 (e) -4 (f) 1.2 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -9 - -389?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 12 = -m. Let z be m\/(12\/(-36) + (-94)\/(-264)). Let p = z + -53. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 924 and 2478.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add 1.32943 and -0.264.\nAnswer: 1.06543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k = 13*p - 11*p + 14, p - 4*k + 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3003*q**2 + 2 + 6497*q**2 - 2.\nAnswer: 9500*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = w + 22, 2*w = 2*d - d - 32. Let j = 18 + w. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 516528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(7 - -2)*-9. Suppose -i - 12 = 5*d. Is (d + -1)\/(-3 - -1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 105 + 18*p - p**2 - p**2 - 105 + 4*p**3 - 9*p**3 to the form w*p + s + u*p**3 + a*p**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 274570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 509888\/49344 + (-1 + -3 - 1).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((2\/(-2))\/((-3)\/(-1)))\/(2458\/(-29496))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.4 and -32260.\nAnswer: -32259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3 - (-8239)\/(-21))\/((-12)\/18). Which is smaller: 594 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 3*o + 2 = 0, -2*g - 2*o - o = -7. Solve 0 = 5*s - 2*a + 7*a - 10, 3*a - 4 = -g*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36007\/10 + 3610. Find the common denominator of m and 41\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -534*x - 542*x + 1612*x - 538*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does -204 = -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1358 and 430874?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 853 (b) -7\/17 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t. Let j(n) = -5*n. Let p(w) = 26*d(w) + 6*j(w). Let k(q) be the second derivative of 8*q - 4\/3*q**3 + 0 + 0*q**2. What is -3*k(i) + 5*p(i)?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of -21*r + 5\/36*r**3 + 0*r**2 + 0 - 1\/72*r**4. Find y, given that f(y) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 9*m + 10*m - 15*m - 2 in the form h + z*m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5036\/208*1*4. Let s = c + -97. What is the nearest to 2 in 0.4, 0.16, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4141*a**2 - 129*a**5 + 4141*a**2)*((-4 + 0 + 2)*(0 - 4 + 3) - 2 + 3 - 2 + (-3 + 6 + 2)*(5 - 4 + 1)).\nAnswer: -1419*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -18*p**2 - p + 1. Let b be q(1). Let f be (1\/(-3))\/((-2)\/b). What is the units digit of 3*(-3 - 10\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -154 - 15?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 39323288, 39323292, 39323296, 39323300, 39323304?\nAnswer: 39323308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 40203.7137 to the nearest one hundred.\nAnswer: 40200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -103 = -26*d + 157 - 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 5*w**2 - 4*w + 19. Is i(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1\/100 - -59\/100. Suppose 5*f + 4*i + 4 + 14 = 0, -5*f + i - 8 = 0. Let j be f + (-2)\/6 + 2. Sort q, j, -0.3 in descending order.\nAnswer: q, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4050908 is divided by 2025450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4325 + 4323. What is the fourth biggest value in -0.04, 3, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3752 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1288305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 18*n**2 + 16*n + 1. What is z(17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3 + 2\/(-3)*297\/(-66). Let w = -5 + 7. Which is the nearest to 0.1? (a) 0.5 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -2\/1975?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (5*(1 + sqrt(363) + -1))**2 + 2.\nAnswer: 9079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 48.913 + 0.087. Let i = f - 49.1. What is the closest to i in 5\/3, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*r - 18 = 73*r. Let q(i) = i**2 - i - 3. Calculate q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 333 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 365486531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 21*u**2. Let l(a) = 2*a**2 - 10*a + 4. Let w be l(5). Let g(k) = -6*k - w*k + 12*k. Calculate g(b(h)).\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*a**2 + 7*a**2 - 10*a**2 - 18*a**2 + a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 864.3869 to the nearest integer.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 29243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 222569 - 0.3\nAnswer: 222568.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 46 + 20 + 2033*c**2 - 291*c**2 - 68 - 94*c wrt c?\nAnswer: 3484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2\/5 + 556*m\/5 - 15314\/5.\nAnswer: -2*(m - 247)*(m - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 3*o**3 + 23*o**3 - 468*o**2 + 466*o**2 as q*o**2 + u + r*o**3 + f*o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 2*z = 3*z - 4, 3*z - 4 = -2*i. Let a be ((-21)\/(-6) + -3)*6. Suppose 3*r - 2*h - 19 = 2*h, 0 = a*r + h + 1. Sort 6, r, i in decreasing order.\nAnswer: 6, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 5*g - 5*l - 5, 5*l - 31 = -3*g. Suppose y = -2*y - 2*d + 17, -2 = -g*d. Suppose -4*a = -y*a + 17. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 5*f**3 - 42*f**2 - 18*f - 87. Let n be t(9). Let c(p) = -8*p. Let w(j) = -23*j. Give n*w(k) + 17*c(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -65 - 13. Suppose -4*q + k = 2. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5 - (7 - 5))*(-4)\/(-6). Suppose -4*u + u - a*i + 65 = 0, 2*u - 2*i - 30 = 0. What is the highest common divisor of u and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 121\/2 + -63. What is the third smallest value in s, 3, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -22698 divided by -3\nAnswer: 7566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1*1\/2*-72. Let l = -34 - -42. What is the greatest common factor of l and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -13 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 56*u - 196\/3 + 9*u**2 + 1\/3*u**3.\nAnswer: (u - 1)*(u + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -10 and -3.36.\nAnswer: -13.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/24 and 167\/652680.\nAnswer: 652680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -4*h + 12260, 28*h + 3*d = 33*h - 15329. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l. Let s(r) = 2*r. Let v(n) = 367*n - 193*n - 175*n. Let o = -1 + 0. Let d(y) = o*s(y) + 6*v(y). Give d(c(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i + 1. Let w(y) = y - 83. Calculate c(r) + w(r).\nAnswer: 2*r - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -43 + 45 + 849*b + 521*b as m + h*b and give h.\nAnswer: 1370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -4 at least -21\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/((-15)\/(-6) - 2). What are the prime factors of (0 - (-12)\/(-9))\/(n\/639)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (38*(-64)\/(-1520))\/((-1)\/(-150)) and 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 4*p - 13. Let g(k) = k - 1. Let j(x) = 5*g(x) - w(x). Let z be j(-4). Let y = 8.4 - 3.4. Which is the second smallest value? (a) z (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 - -16. Let n = a - 3. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1230820321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1281346581?\nAnswer: 3, 353, 1209959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50423560 divided by 10.\nAnswer: -5042356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 4*q**3 + 133*q**2 + 592*q + 45. What is t(-28)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 + 7*o - 5. Let s be j(4). Let u(v) = -66*v + 3 + 17*v + 54*v. Let a(k) = 2*k + 2. Calculate s*a(z) - 3*u(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -17.4520282 to two dps.\nAnswer: -17.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -n*w - 8025*n + 136612*w wrt n.\nAnswer: -w - 8025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = -7*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i, 1 p, and 1 z when four letters picked without replacement from {k: 3, j: 1, p: 1, i: 2, y: 3, z: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -81 (c) -14\/179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 15) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1711, 3424, 5137, 6850, 8563, 10276?\nAnswer: 11989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -914 - -925. Solve 3*r = -6*r + g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10429?\nAnswer: 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + -6 + 3 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 15 = u, 5*x - 81 + 98 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2\/85 + 20\/17. Suppose -3*u + 3 + 3 = 0. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -179316*p**3 + 187*p**2 + 24?\nAnswer: -1075896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 - m**2 + 1. Let b(q) = q**3 - 4*q**2 + q + 6. Let c(a) = -b(a) + 6*y(a). What is the units digit of c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -31, -52, -69, -82, -91, -96?\n\"Answer: 2*z**2 - 27*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 317\/12, 1, 7.8, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + q - 81910 = -2*q, 0 = 3*q - 12. Suppose 355 + d = 3*p. Let a = 302807\/22 - p. Calculate the common denominator of 19\/14 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(2\/3)*j)**(-1\/4)\/(j**(8\/7)*j**(-3)*j))**(5\/4) assuming j is positive.\nAnswer: j**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*b = -29*b - 1248. Let j = 3457 + b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s**3 + 4*s**3 + 0*s**3)*((-4 + 3 + 2)*(5*s + 2*s - 5*s) + 2*s + s - 4*s - 3*s + 4*s + 0*s + 127*s + 140*s - 299*s + (2 - 1 + 0)*(-5*s + 0*s + 3*s)).\nAnswer: -256*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 84 - 62. Suppose -f = 2*k - 4*r, -r + 115 = -5*k - 3*r. Let y = 33 + k. Solve 4*l + y = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1155050 is divided by 1155047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(112))\/sqrt(7))\/sqrt(8).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-16 + 19)*(3 - 0) + -20\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -22, -244, -868, -2092, -4114?\n\"Answer: -33*w**3 - 3*w**2 + 18*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 19 + 51 = 0. Suppose 2 = 4*v - k. Suppose 5 = v*l - 103. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 11*w + 3. Suppose -7*i + 11*i - 4 = 0. Let l be z(i). What is the derivative of 2*k**4 + 9*k**4 + l + 5*k**4 wrt k?\nAnswer: 64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1956\/8*166\/249. Solve -161*m + o*m = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w + 3*w = -2*q - 19, -4*q - 8 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 246674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-272)\/(-20))\/1*5\/2. Suppose -2*k - d + 100 = 0, 5*d - 147 = -3*k + 2*d. Calculate the highest common factor of k and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 250804483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add -4 and 1.1403.\nAnswer: -2.8597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 672 - 650. What is the highest common factor of d and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56 = -5*z - 6. Suppose 2*r - 2*p = 12, 2*r - 4*p = z + 6. What is the units digit of 4410\/36*r\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**3 - 2*l**2 - l - 2. Suppose 8*d - 94 = 34. What is the remainder when d is divided by q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0482308 to four dps.\nAnswer: 0.0482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0*2*(-4)\/16. Factor 0*a - 1\/2*a**2 + 1\/4*a**3 + z.\nAnswer: a**2*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -225110?\nAnswer: -225112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 15*p. Let w(m) = m**2 - 5*m - 27. Let d be w(9). Let h(r) = -3*r + r + d*r - 5*r. What is h(a(f))?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.00689438*29.\nAnswer: 0.19993702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -2*q + 7054, 0 = -2*q - t + 5*t + 7042. Let y = -11125 + q. What is y rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 12) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (2*(sqrt(156)*-2 + sqrt(156)) + sqrt(156))\/(sqrt(12) - ((sqrt(108)*-1)\/sqrt(9) - sqrt(12))).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 3*y**2 - 3 + 3 + 1 - 2*y. Let b(s) = -s**2. What is 2*b(f) + j(f)?\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 411355.246 + -410668. Let t = z - -0.754. Let g = 687.9999163 - t. Round g to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vfvv when four letters picked without replacement from {e: 1, f: 7, v: 10}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 - 5*x - 5. Let h be y(-5). Let m(a) = -a**2 - 6*a - 1. Let p be m(h). Suppose p*d + d = 10. Solve -3 - 3 = -d*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -6*p - 2*p**2 - 7*p - 3*p**3 + 15*p. Let b(h) be the second derivative of h**5\/20 + h**4\/12 - h**3\/6 + 2*h. Determine -2*b(l) - x(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 70\/9, 4, -5\/2 in increasing order.\nAnswer: -5\/2, 4, 70\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011000010111 + 1000011001?\nAnswer: 10100000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 397.45 + -397.4. Sort d, 2, 0.023 in ascending order.\nAnswer: 0.023, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6703 - -7635. Which is smaller: -0.4 or w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -543, 1\/2, 2\/15, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 0 (b) -40 (c) 1\/9 (d) 5 (e) 1076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2355945*k**3*m + 72734*m + 9 with respect to k.\nAnswer: -7067835*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 626304 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002200632 rounded to six dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*j - 104 = 8*j. Suppose 0 = j*w - 182 - 258. What is the remainder when w is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(0 + -3*1*sqrt(2299) + (sqrt(1216) + 0 + -4)**2).\nAnswer: -1232 + 97*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2 + 1644831144*z - 338183686534043592.\nAnswer: -2*(z - 411207786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -11279, -11280, -11281, -11282, -11283?\n\"Answer: -x - 11278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -10\/3 (b) -42 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 43491 and 399.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 4 - (134\/63 + (-76)\/(-81 - -43)) and (-26)\/(-11)*1\/(-2).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zu when two letters picked without replacement from uuuuuuzuuuuuu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the first derivative of -7*n**4\/6 + 31*n**3\/3 + 44*n**2 - 19. Let s(u) be the second derivative of g(u). Differentiate s(i) with respect to i.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 88977758 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/17828 and -65\/35656.\nAnswer: 35656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 2 * -70.2\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -28616 - -12824.\nAnswer: -15792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(-6 - -1) - (-313854)\/31212.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2729.97 * 26.\nAnswer: 70979.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3, 2\/5, 2.7, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0+-4021.996355884\nAnswer: -4021.996355884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.22893 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (0*g**4 + 4*g**4 + g**4)*((2 + 0 - 3)*(2 - 6 + 2) + 0 + 3 - 1) in the form l*g + q*g**3 + z + c*g**2 + t*g**4 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 158 = -m, 2*m = 5*u - 0*m - 204. Let s = 116 + u. What is the units digit of 1\/(((-13)\/s)\/(39\/(-2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1144?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 - 20*k**2 - 41*k - 53. Let l be q(22). Let u(h) = h**3 - 14*h**2 + 14*h - 16. Calculate u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -2344*q - 1. Let h(v) = 22*v. Give x(h(u)).\nAnswer: -51568*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 280.475 + 0.03\nAnswer: 280.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10.9 + 3.9. What is the nearest to -1 in 1\/7, -0.4, q, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence unnj when four letters picked without replacement from {g: 2, p: 1, u: 2, j: 3, n: 6}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-1 + -4 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, z: 2, x: 3}. Give prob of sequence dzd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*m = -9*m - 430. Let s be (2 + 1)\/((-55)\/(-22) + m). Which is greater: s or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 - 129*k**2 - 3332*k + 1473. Let s be u(151). Suppose f + z = -36, 0 = -5*f - 4*z - 62 - 119. Is s >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**3 - p**2 - p - 1. Let o be x(2). What is the first derivative of -2 - 3*i**3 + 0 + o wrt i?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -8 + (-8 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 43740 - 43721. Let j = -0.1 + 0.2. What is the third smallest value in j, q, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 387 or 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 4, o: 1, z: 7, b: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -468808 divided by -2\nAnswer: 234404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**2 + 10*o + 11. Let t be x(10). Suppose -t*a + 25 = -6*a. Let k be 0 + (-2 - -1)*5. Sort k, 2, a in descending order.\nAnswer: a, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, n: 1, s: 4, j: 5}. Give prob of picking 4 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 12*i + 186. Suppose 11 + 23 = -5*j + 2*y, -5*y = 15. Calculate the least common multiple of l(j) and 11.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (41 - 191 - 4316)*(0*b + b - 2*b) - 3 + b + 3 + 3 - 2*b - 3 + (-1 + 1 + b)*(0 + 3 - 5) + 3*b + b - 5*b - b + b + b.\nAnswer: 4463*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 5*n - 6. Let g(h) = 16*h - 17. Calculate -17*f(a) + 6*g(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7546 and 19894?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of -9*v**3 - 12. Let d(n) = 103 + 2*n**2 - 103. Calculate x(d(q)).\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23180 + 23192. What is the least common multiple of 2091 and q?\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*r**(1\/8)\/r*r*r))**10)**(-2\/167) assuming r is positive.\nAnswer: r**(45\/334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 72479417 and 11247?\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6584, -6601, -6628, -6671, -6736, -6829, -6956?\n\"Answer: -p**3 + p**2 - 13*p - 6571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 10:03 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(190)*-2)\/(-4*sqrt(360) - sqrt(360)).\nAnswer: 2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 20\/15*(-2)\/(-4). Which is the nearest to k? (a) -2\/9 (b) 2\/15 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 95 (c) -2 (d) 6\/5 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 1 + (-1 - (-6 + 17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-42)*y\/y**(-14\/13))\/(y**(-2\/29)\/y*y)**30 assuming y is positive.\nAnswer: y**(-14271\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the third derivative of -j**8\/560 + j**7\/112 - j**6\/80 - 151*j**3\/6 - 163*j**2. Let k(p) be the first derivative of h(p). Factor k(i).\nAnswer: -3*i**2*(i - 1)*(2*i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 4 = 2*v, 10 = 3*w - 5*w. Suppose 2*s - v = 4. Suppose -s*k + 4*k = -16. What is the nearest to -0.3 in k, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j + 7. Let i be (-3 - -4) + 2\/(-2). Suppose -1 = -f + 5*m, i = -5*f - m - 22 + 1. Is s(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1211*k + 1389*k - 839*k + 1 - 1 - 758*k.\nAnswer: -1419*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ctt when three letters picked without replacement from ctctccccttctcc.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -484\/145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 119931 or 119932?\nAnswer: 119932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than -10156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/4*(-222)\/185)\/(7\/(-3150)*-15).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000009802 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -4*d. Let l(z) be the third derivative of 0*z - 2*z**2 + 0 + 0*z**3 + 1\/24*z**4. Determine x(l(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 11472.7 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 - -100110131201310?\nAnswer: 100110131201313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0221 * 0.3.\nAnswer: 0.00663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/7, -15828, -1.\nAnswer: -15828, -1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 44122 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 3*c + 2050 = 0, 3*a + 5*c - 1230 = -0*a. Is 41 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14 - -13.957. Let y = a - -0.1046. What is y rounded to three dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3 + 48)*-195*(-3)\/27. Calculate the greatest common factor of h and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w\/((w*w\/w**(-17))\/w))\/(w*w*w**(2\/13)*w))\/(w**(-29)*w*w)**41 assuming w is positive.\nAnswer: w**(14142\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.1 - 285.139.\nAnswer: -286.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1 + (-2 + 6 - 2)*(-1 + 1 - 2))*(-s - s + 0*s)*(-2 + 2 + 1)*(-31*s**3 - 764*s + 764*s).\nAnswer: -310*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 - 27*q**2 + 3*q - 127. Calculate y(-26).\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*d - 20*d = 276. Suppose 0 = -d*z + 39*z. Solve r = 4 - z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -677\/78 - -154\/13. Let p be 6\/8 + 195940\/16. Let u = p - 122571\/10. What is the common denominator of u and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -138, -119, -10, 195, 502, 917, 1446?\n\"Answer: p**3 + 39*p**2 - 105*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5788164 and 10.\nAnswer: 28940820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -4*m - 37. Suppose 4*g - 3*n - 5 = -4*n, -2*g = -3*n + 15. Let v be d(g). Let x = v - -39. Solve x*s = -s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 + s**2 - s + 1. Suppose 0 = -38*x + 55 - 93. Let g(v) = -v**3 + 2*v**2 + v + 2. Give x*g(m) + 2*i(m).\nAnswer: -m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d + h + 40, -4*d = -5*h - 22 - 52. What is the highest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 2 s when four letters picked without replacement from {s: 12, c: 5, j: 2}?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3.368 take away 2?\nAnswer: -5.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*b**2 - 4*b**2 + 0*b**2)*(2*b + 2*b - 3*b) - 4*b**3 + 0*b + 0*b)*(-2 + 4 - 1).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the third derivative of -h**7\/945 - 13*h**6\/135 - 197*h**5\/270 - 121*h**4\/54 - 32*h**3\/9 - 9*h**2 - 8. Let l(b) = 0. What is b?\nAnswer: -48, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 102978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 4 = -x - 3*x, -2*f + 1 = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30021\/(-480336) - (-1 - 3842\/32).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange o + o + 0*o + (-3 + 2 - 1)*(-5*o + o + 2*o) - 12 - 1 - 15*o + 14*o to j*o + p and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9335 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 91428 - 182905 + 10*k + 91477.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-115)\/(-46)*(-4)\/(-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/((n\/(n\/n**(-1\/30))*n)\/n)*n**(2\/39)*n assuming n is positive.\nAnswer: n**(271\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (10\/8)\/((-3)\/(-36)). Let q be (6\/o)\/(1\/20). Suppose q*u - 354 = 662. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 84770329 to the nearest integer?\nAnswer: 9207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 83, 71, 47, 5, -61?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 143413086 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -15*i**2 + i + 6. Let n be g(-2). What are the prime factors of 229\/7 - (-4 - 208\/n)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2746901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - (-3 - -4)) + 3. Suppose 0 = -w*y + 3*v + 3, 20 = 5*y - 0*v + 5*v. Factor -y*h - 2*h + 2*h**2 + 6*h - 5*h.\nAnswer: 2*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v + 2*v. Let w = -0.18 + 4.78. Let p = w + -0.6. Put -3, v, p in decreasing order.\nAnswer: p, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*z - 3 = -3. Let b(y) be the second derivative of -7\/48*y**4 + z + 3\/8*y**3 - 1\/4*y**2 + 3*y. Factor b(f).\nAnswer: -(f - 1)*(7*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1*(4 + (-3)\/(-3)). Let v = 16 - 3. Let g = i + v. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the first derivative of n**4\/10 - 14*n**3\/15 - 41*n**2\/5 - 66*n\/5 + 250. Factor g(w).\nAnswer: 2*(w - 11)*(w + 1)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5\/17 - -1\/17. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -26221823*i**4 - 39728657 wrt i.\nAnswer: -104887292*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 337206587 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1222.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -316878\/11 or -28806?\nAnswer: -28806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**2 + 3*a - 2. Suppose 4 = 5*w - 3*w. Let o be r(w). Solve o = s + 3*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -6*t**2 - 156*t - 3. Is s(-13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o + 31. Let n be g(10). Calculate the highest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 9 - 10 = 0. Let l = 28 + m. Suppose 0 = -5*v + 2*x, -v - l = -2*x - 1. Solve 3*c + v*c - 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 15558914 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 2*f - 94 = 0, -3 - 124 = -4*l - 3*f. Calculate the remainder when 102 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6 + ((-459)\/(-204))\/(6\/(-16)). Solve g = -5*m - 2*j - 4, -2*j - 2*j + 4 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -71 and 1349.\nAnswer: -95779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*d - 23*d - 165 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/7)\/((-27)\/252)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 410 + (1 + 1)*2. Let a(y) = -199*y + 15. Let k be a(-2). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-228)\/(-1026) + 28778\/18?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 787\/2 + -422. Let a be (-273)\/(-9) - 12\/9. Let w = a + r. What is the closest to w in 0.2, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 491, 494, 497, 500, 503?\n\"Answer: 3*f + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115 = 2*l + 3*l - 5*t, -3*l = -t - 65. Let i = l + -26. Which is the closest to 0? (a) -4\/7 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u + 10. Let s be l(5). Let v = -4 + s. Let a be ((-6)\/(-8))\/(v\/4). Solve -t - a*t + 2*w = -12, -2*t = -4*w - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 0*d - 4. Let x = 13.12 - 7.12. Which is the second biggest value? (a) d (b) x (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58361 is divided by 28977?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 + -2. Let g = -2183 - -8797\/4. Let i = g - 17. Which is the third biggest value? (a) d (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-135*d - 131*d + 204*d + 15*d**2)*(-3*d**3 + 2*d**3 + 3*d**3) + 0*d**4 + 0*d**5 - 2*d**5 - 2*d**4.\nAnswer: 28*d**5 - 126*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 44 and 8559012.\nAnswer: 8559012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 5*l**3 + 3*l**2 + 5*l - 3. Let v(u) = 13*u**3 + 6*u**2 + 10*u - 7. Let m(c) = 5*j(c) - 2*v(c). Give m(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6 - -2)*(-2 + (-6)\/(-4)). What is the highest common divisor of n and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 9 = -34, 4*s + 2*a + 6 = 0. Are s and -5\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-two fifths of a gram in milligrams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*f = 111 - 446. Let r(s) = 14*s + 5. Let b(d) = 1. Determine f*b(n) + r(n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the third derivative of w**7\/42 - w**6\/24 - w**5\/3 + 5*w**4\/6 - 2*w**2 - 24*w. Suppose s(z) = 0. Calculate z.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 119785*c - 28085*c.\nAnswer: 91700*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 678103 to the power of 1\/2, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the second derivative of g**5\/20 - g**4\/2 + g**3 - g**2\/2 + g. Let m(f) = -f + 6. Let l be m(-3). Let a(v) = v - 4. Let p be a(l). Calculate w(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k + 1. Let g(j) = -j. Let f(a) = 2. Let x(d) = -f(d) + g(d). What is -2*w(v) - x(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1616.2509 months to years.\nAnswer: 134.687575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7921 + -7916. Solve 2*u = -4*r - 18, -2*r + w*u = -9 - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 - 35 + v + 88 - 53. Let i(j) = 14*j**2 - 12*j. Let a = 14 - 5. Let x be 2\/(-3)*a\/(-6). Calculate x*i(l) + 12*s(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mdllddddlmlddmdd. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 8:38 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (590\/2655)\/(215\/(-45))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (550\/330)\/(2\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(-6))\/y**(-3))\/((y**(-2\/9)*y)\/y*(y**0\/y)\/y) assuming y is positive.\nAnswer: y**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 3916*u**2 - 3*u + 0*u + 5 + 0*u. Let b be q(-6). Let h be 2 + (1 - 4) - b. Round h to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 14 - 4 + m - 1. Suppose 0 = 4*c + 10 - 26. Let v be (-10)\/c*(-3 - -5). What is k(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2112100 + 1112?\nAnswer: 2120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 45, -11, -65, -117?\n\"Answer: k**2 - 59*k + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 2*n**2 - 2*n + 1. Let p(m) = m**3 - m. Let u(l) = -p(l) + z(l). What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -4*f - 4*o + 36, -5*f = -3*o - 38. Let v be (16\/10)\/(2\/f). Suppose -h - 3*b + v = -6, 2*h + b - 23 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 240\/(-75) + 15 + -13.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 414 + 63. What are the prime factors of m?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:16 AM and 12:59 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44*6\/32 + 84\/48.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes after 11:59 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -16 + 19. Let f = 0 - 0.1. Let c = f + 0.2. What is the closest to -0.1 in z, -1\/11, c?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -975 (b) 7 (c) 0 (d) -0.2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -1*sqrt(200) + (-2 + sqrt(200))*6 - ((1 + (sqrt(200) + -1 - sqrt(200)))**2 + sqrt(200) + (sqrt(200) + -2 - sqrt(200))*-6).\nAnswer: -20 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000911 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 58740 and 41652?\nAnswer: 2290860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 341 and 434.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1155228 (base 9) to base 16\nAnswer: 991b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 531.1 + -534.1. What is the second biggest value in 1.8, 4, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 146335 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/(-7)*21\/(-6). Which is the third smallest value? (a) p (b) -0.3 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (57 - 56 - (4 + 4 + 1)) + -1 + -28\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 92\/9*a**2 - 2\/9*a**5 + 2 - 20\/3*a**3 + 2*a**4 - 22\/3*a.\nAnswer: -2*(a - 3)**2*(a - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g + 3*g - 6*g)*(-4 + 4 + 1)*(-730*g - 1976*g**2 + 730*g + 333*g**2).\nAnswer: 3286*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*b**3 + 9 + 10 - 17.\nAnswer: -4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -95 + 97. Let c(p) = 382*p**3 - 2*p**2 + 3*p - 1. Is c(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from weewwww. Give prob of picking 2 e and 2 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -1. Let b(m) = -2*m - 8. Let n(s) = -b(s) + 12*t(s). Let o be (-9 - -7)*7\/(-2). Determine n(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 7*i**2 + 2*i + 3. Let g(f) = 20*f**2 + 7*f + 9. Suppose 5*r = 23 + 2. Let m = r - 9. Let v(q) = m*g(q) + 11*j(q). Factor v(b).\nAnswer: -3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*d - 3*d - 2*d)*(37*d + d + 0*d) - 40 + 6*d**2 + 40 + d**2 - 4*d**2 + 5*d**2 + (-2*d - 2*d + 2*d)*(0*d + 3*d - d).\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -925 less than -10.8?\nAnswer: 914.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*v - 55 = 583. Suppose 0 = -56*y + v*y. Solve -4*n + 12 = 3*z - n, -4*z + 4*n = y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of p**6\/120 - 7*p**5\/60 + 5*p**4\/24 + 5*p**3\/3 + 19*p**2. Let f be j(6). Solve -2*z + o + o = 12, f = -z - o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 28 + -82 + 56 + -52\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 43*p*s**3 + 2*p*s - 4200*p + 15*s**3 + 2 with respect to s.\nAnswer: 129*p*s**2 + 2*p + 45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, -80, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3435 (base 6) in base 12?\nAnswer: 57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 8 - 10 = -2*o, 0 = 3*o + 4*h + 23 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 58077 - 8711639\/150. What is the common denominator of d and -37\/18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-315)\/(-210)*-8*2\/(-36)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101100 - 101?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 9:44 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 837 - 475. Suppose -a*m = -368*m + 90. What is the highest common factor of m and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 5*g - 6 = 0, -3*g = 3*y + 9. Put y, -4, -1 in ascending order.\nAnswer: y, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**2 + 10*l - 2. Let p be a(-11). Let f be ((-4)\/117)\/((-6)\/p). Let r = -28\/39 + f. Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -92.5 minus 0.406813486?\nAnswer: -92.906813486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - 43) + (-15 - -31) - -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 11*r**2 - 972*r + 1425. Determine c(87).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 - 4 = -2*p. What is the remainder when (147 - (-6)\/(-2)) + 4*(-7)\/7 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:16 AM and 3:06 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -89, -114, -143, -176, -213, -254?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-654)\/((-13189)\/(-121))*1\/50?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 - -6. Let q = -4 + 6. Suppose -r = -q*r + w. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -287270043, -574540085, -861810127, -1149080169, -1436350211?\nAnswer: -1723620253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 60649256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(2 + (-1*((sqrt(77)*3 - sqrt(77)) + sqrt(77)))\/(sqrt(7) + sqrt(70)\/sqrt(490) + sqrt(7))))**2.\nAnswer: -252*sqrt(11)\/5 + 5751\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1656)\/(-345)*1*(-5)\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*(p*p\/(((p\/(p*p**(3\/4)))\/p)\/p)*p)\/p)\/(p*p**(-14\/9)))\/(p\/p**(1\/13))**(1\/32) assuming p is positive.\nAnswer: p**(5875\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -137*k + 130*k + 1337 = 0. Let q = -98 + k. Is q a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -48373.9172 rounded to the nearest one hundred?\nAnswer: -48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = 2*y - 10. Suppose -w - 2*w = -q + 26, -q + y*w + 26 = 0. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -2*z**2 + z + 3. Suppose 3*r - 5*r = 0. Let k be r + -3 + -1 - -9. Let v(h) = 3*h**2 - 2*h - 5. Let w(d) = k*v(d) + 8*m(d). Factor w(x).\nAnswer: -(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.14 times -2855?\nAnswer: -399.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 260715096.\nAnswer: 2, 3, 3621043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3596 is divided by 757?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -940301, -940206, -940111, -940016, -939921?\n\"Answer: 95*d - 940396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 226, -1961, -4126, -6257, -8342, -10369, -12326?\nAnswer: -14201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16428 and 15?\nAnswer: 82140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 - 11. Suppose -x = -p*x + 920. List the prime factors of x.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -4*y**4 - 21704*y**3 - 6135452*y**2 - 18254488*y - 12140736 = 0.\nAnswer: -5127, -296, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8641, 10042, 12393, 15706, 19993, 25266?\nAnswer: 31537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**22\/q)\/q*q*q*q**(2\/25))**(1\/54) assuming q is positive.\nAnswer: q**(92\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.33832 to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (-2 - -156) + (5 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 14 + 6. Suppose 6*f - 84 = 2*f + 2*j, -f - b*j = -3. What is the highest common factor of f and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t + t + 2*t + (0*t - 4*t + 3*t)*(0 + 0 + 2) - 1 + 1 + 4*t)*(101 + 149 - 78)*(4 + 0 + 0).\nAnswer: 2064*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - w + 318, -2*w = 5 - 1. Calculate the least common multiple of l and 36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4488.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1051175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*g + 53 = -147. Solve g = 8*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Work out -0.206 - -743556.\nAnswer: 743555.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, m: 14}. What is prob of sequence mm?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n - 25 = -9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l**2*l)*l*l**(-1\/9)*l)**(-14)*(l**(-3\/7)\/(l*l**(3\/4)))\/((l**(1\/6)\/l*l)\/(l*l\/l**(1\/7)*l)) assuming l is positive.\nAnswer: l**(521\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37480233 is divided by 352?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -58 divided by -74361\nAnswer: 58\/74361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -3231531?\nAnswer: -1\/3231531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2*n**3 + 6*n**2 - 5*n. Let k be g(1). Let i(t) be the first derivative of 0*t - k - 1\/3*t**2 - 2\/3*t**3. Solve i(z) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 3*w + 3*w + 3*w**2 + 2*w - 12 + 10. What is the lowest common multiple of v(-3) and ((-2)\/6)\/((-4)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2702 is divided by 428.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 97, -18\/7, 0.09, 0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 204, 422, 644, 870, 1100?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10 - -14. Suppose l*h = 4, -29 = -4*y - 9*h + 4*h. Solve 5*b = y*b - 2*m + 9, 2*b - 3*m + 14 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 28*q**5 - 22*q**5 + 0*q**2 - 5*q**4 - 2*q**2 - 53 wrt q?\nAnswer: 360*q**2 - 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 56 * -0.3932477\nAnswer: -22.0218712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -164 + 100 + (10 - -45)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nartatorrrnn. Give prob of sequence nn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8430 and 60696?\nAnswer: 303480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (5*m + 0*m + m)*(1 - 262 - 247) + (-2 - 3 + 7)*(4*m + 0*m - 3*m) in the form r*m + d and give r.\nAnswer: -3046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 273 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*i**3 - i**2 + i**2 + (-2 + 2 - 2*i**2)*(-i + i - i) + (3*i - 3*i + 2*i**2)*(-3 + 3 - 13*i).\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (150*n**5 - 152*n + 152*n)*(-1 + 0 + 2).\nAnswer: 150*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 4*r**3 + 21*r**2 + 7*r + 12. Let o be n(-5). Solve 0 = 3*v + 4*b - o*b - 14, 3*v - 8 = 4*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*z - 6 + 15 + 7)*(-9*z**3 - 69*z**2 + 69*z**2).\nAnswer: 36*z**4 - 144*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 11079261 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 38693 by 3559.\nAnswer: 38693\/3559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/22)\/(21 + (-19240)\/1430)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 31444 divided by -4492\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 13391, 26779, 40151, 53501, 66823, 80111, 93359?\n\"Answer: -d**3 - 2*d**2 + 13401*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*s + 328*s**3 + 9*s - 187*s**3 wrt s?\nAnswer: 846*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2*(-1)\/3 + -1. Let l(n) = n**3 + 56*n**2 - 19*n + 157. Let b be l(-56). Let i = b - 1225. Sort i, w, -0.13 in decreasing order.\nAnswer: -0.13, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-63)\/9)\/(-42))\/(-2)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -583*u = -576*u - 18235. Let w = u - 1238. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*y + 2*y**2 - 6 - y + 4 + (-2 + 5 - 1)*(-1 + 1 + y**2).\nAnswer: 4*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4372179*f = -4371810*f - 13653 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 16 and 757\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**3\/7 + 72*m**2\/7 - 864*m\/7 + 3456\/7.\nAnswer: -2*(m - 12)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 884485648 to the nearest integer?\nAnswer: 29740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1, -130, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -25*g. Let y(z) = 26*z**2 + 35*z**2 - 62*z**2. What is y(f(o))?\nAnswer: -625*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 2)*(-2*z**2 + 64*z**4 + 4*z**2 + 44*z**4).\nAnswer: 216*z**4 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -7*z**2 + 9*z + 4. Let d be (-2)\/6*(-22 + 34). Let i(r) be the first derivative of r**3 - 2*r**2 - 2*r + 1. Give d*b(c) - 9*i(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 779384 = 42*a - 42*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2349 is divided by 419?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q - 10. Let o be x(-8). What is the closest to -0.2 in 3, 7\/5, o?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 3*o**5\/4 - 243*o**4\/4 + 1569*o**3\/4 - 1089*o**2\/4 - 393*o + 333 = 0.\nAnswer: -1, 1, 6, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -98867\/414111 + 53\/223. Put 0, z, 5 in decreasing order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1390 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.18? (a) 3.134 (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let v = 213 + -148. Let g be v\/(-30)*3*6. Let o be g\/(-4) + 2\/8. Solve 2 = -4*q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2268 and 3948?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1254329 - -0.12703. What is q rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1070173*5\nAnswer: 5350865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -525 + 135 - 9*c + 131 + 125 + 132. Let w = -22 - -27. Let m(s) = -9*s - 2. Give w*x(p) - 4*m(p).\nAnswer: -9*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2884, 5525, 8178, 10849, 13544?\n\"Answer: j**3 + 2634*j + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -35047, -35046, -35047, -35050, -35055?\n\"Answer: -a**2 + 4*a - 35050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, 17, -0.0563 in ascending order.\nAnswer: -0.0563, 1\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from smmshgmmjjjgmsmhjg.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 51, 0 in descending order.\nAnswer: 51, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 + f - 75. Let l be g(0). Let j(t) = 145*t**3 - t**2. Let d be j(1). Let b = l + d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 111 divided by 21.\nAnswer: 37\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/6074574 and -101\/132?\nAnswer: 12149148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 487320 and 5520?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06 times 2.22874?\nAnswer: 0.1337244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-1156)\/(-153) + -11)*-9. Solve -36*s + h*s + 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5440407 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3553672 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/525 + -5038\/525. Suppose 0 = -5*b + 13 - 3. Calculate the common denominator of b\/3*2184\/32 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 185831 divided by -6.\nAnswer: -185831\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 8986 or 8985?\nAnswer: 8986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-63)\/(-42)*16\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 27710 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + 3*c - 4*c)*(-85*c**2 - 4*c**2 + 408*c**2 + 162*c**2 + 65*c**2).\nAnswer: -2184*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 377131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 223520.13s in minutes?\nAnswer: 3725.3355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*g**2\/13 + 35291496*g\/13 + 14116600\/13.\nAnswer: -2*(g - 3529150)*(5*g + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of 4*k + 5\/2*k**2 + 1 - 1\/3*k**3. Let c be m(6). Let n(q) = -4*q - 1. What is n(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 10 = -z, -v - 3*v + 2 = 5*z. Let w be (z - 1) + 0 + 8. Suppose 5*m - w*m + 84 = 0. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2419184\/(-41821) - ((-76)\/26 - -3)*2\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pw when two letters picked without replacement from gigiwpiwigpi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*n + 1045*n = -582*n - 85450 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-296)\/(-74) - (4 - -1). Let i(a) = a**2 + 3*a - 5. Let n be i(-4). Let b be k - (-2)\/1 - n. Solve 0*s - 2 = -b*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2714, 2704, 2682, 2642, 2578, 2484, 2354, 2182?\nAnswer: 1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -18406 + 18323.77. Let q = -83 - n. What is q rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 2298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/4*(640\/20)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-11))\/t*t**3)\/((t\/(t*t**(-12)))\/t**4) assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:52 AM and 2:47 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3803 plus 0.149827819?\nAnswer: 3803.149827819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -59e4a - 1a?\nAnswer: -59e64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 65761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -1\/4, -2.8 in descending order.\nAnswer: -1\/4, -2, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -137*p**3 + 3*p**2 - 2. Let k be x(-1). Suppose -3*o + n + 9 = -k, -n + 3 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, a: 2, o: 2, e: 8, u: 2, q: 1}. What is prob of picking 1 e and 1 u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -190*k = -401738 + 389198 for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 59264\/80 - (-3)\/15. Solve 711 - b = 6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11874, -24343, -36812?\nAnswer: -49281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -11) + -5 + -10 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -13453642?\nAnswer: 13453644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 56098 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-10))\/(10 - (-1296)\/(-135))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 21 + 0*t - t + 0*t + 0*t. Does 13 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -68348 divided by 91\nAnswer: -9764\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 - 2*p**2 + 5*p + 1. Let u(n) = -n**3 - 3*n**2 + 6*n + 2. Determine -6*q(z) + 5*u(z).\nAnswer: z**3 - 3*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1 from -20535750500293.\nAnswer: -20535750500292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*g**2*o**2 + 1674*g**2*o - 16*g*o**2 + 4*o**2 - 31 wrt g?\nAnswer: 18*o**2 + 3348*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 - 19*v**2 - 19*v - 10. Let s be f(-18). Let m(c) = 7 + 27*c + 1 - s. Let u(h) = 2*h. Calculate m(u(y)).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2.6 (b) 23885 (c) 0.5 (d) 0.4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8.245555 + 0.445675. Let x = a + 7.8. What is x rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of -g**6\/120 - g**5\/6 + g**4\/24 + 13*g**3\/6 + g**2. What are the prime factors of b(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-6)\/9)\/(1*(-8)\/12). Is 4\/7 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 18 = 3, -2*c = -3*w - 17. Sort c, 2, 3 in descending order.\nAnswer: c, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1b (base 12) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and 61.6088045.\nAnswer: 65.6088045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 3*o**5 + 137013*o**4 - 1644444*o**3 + 6578160*o**2 - 8771136*o = 0.\nAnswer: -45683, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 32 + -31.7. Let g = -6 + 2. Let y be (-75)\/250*g\/6. Sort y, 2\/11, k in increasing order.\nAnswer: 2\/11, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 302853 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) -0.06 (c) -1\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 3*s - 5*x = -7*s - 4*x + 50, -8*x = 10*s - 212 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (77 + 183 + 75)*(-2*r + 6*r - 3*r) + (0*r + 4*r - 3*r)*(-3 - 7 + 7).\nAnswer: 332*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 873.8 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/22*(-9120)\/(-2660).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -6*c**3 - c**2 - 3*c - 3. Let k be a(-1). Find the second derivative of 124*r**2 - 124*r**2 - 10*r + r**5 + 3*r**k wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 + 2. Let h = 16 - l. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -268 - -290. What is the remainder when 58 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -140988.9399 rounded to the nearest one thousand?\nAnswer: -141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 9:42 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -2056 < -2015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1836039.\nAnswer: 3, 61, 79, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 7 + (-8 - -2) - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-562504)\/(-12 - -4) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/12*2*0. Suppose g*p = -2*p + 8. Let j be 100\/32 - (-2)\/(-16). Solve j*u = -u + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of m**5\/20 - m**4\/2 - m**3 - 5*m**2\/2 - m + 2. Let x(h) be the first derivative of i(h). List the prime factors of x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 42858*d**2*j**3 - d**2*j**2 - d**2 + d*j**3 - 4*j + 8126 wrt j.\nAnswer: 257148*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 922 = -2*s, 3*s = y - s + 294. Let j = y + 318. Solve h = -3*h - 5*w + 18, 0 = -3*h - w + j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.3 and -1.1?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 5 + -2 - (-25)\/((-250)\/(-160)). Let b(c) = c**3 - 19*c**2 + 5*c + 26. Determine b(l).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.15*0.02.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the second derivative of -n**4\/6 + 2*n**3\/3 - n**2 - 9*n. What is c(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 529 + 1697572?\nAnswer: 1698101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 76*w. Let b(l) = 23*l**2 - 802. Determine h(b(t)).\nAnswer: 1748*t**2 - 60952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1603 is divided by 1028.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of a**4\/12 + 5*a**3\/3 - a**2\/2 - 2*a. Suppose 33 = 13*o - 16*o. Calculate the least common multiple of y(o) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1583833.5 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -2850.672 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/28*112\/(-42). Suppose -5*o + 0*o - 155 = 0. Let x = o - -123\/4. Which is the closest to x? (a) 1\/2 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 36*y**2 - 226*y - 8390 + 8433 + 225*y as r*y + i*y**2 + v and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*q - 6*q + 2*q)*((1 + 3 - 5)*(2*q - q + 0*q) - 6*q - 6*q + 3*q)*(-14 - 19 - 35)*(-2*q + 3*q - 3*q) to g + b*q**3 + i*q**2 + c*q and give b.\nAnswer: 5440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35778 = -12*a + 2310. Does 69 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 155663.4 and -0.1?\nAnswer: -15566.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 203977 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -44 - -67. Calculate the highest common factor of 207 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1989363 by -31.\nAnswer: -64173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**3 - 37*l**2 + 20. Calculate the lowest common multiple of 142 and v(-37).\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the third derivative of -j**6\/30 - j**4\/4 + 10*j**2. What is the second derivative of q(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(605) + 0 - sqrt(605))**2 + (5*sqrt(500))**2 + 1 + (sqrt(55)\/sqrt(275) - (sqrt(20) + sqrt(20) + -1)))*-6.\nAnswer: -75012 + 114*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -264, -531, -798, -1065, -1332, -1599?\n\"Answer: -267*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-12)\/y)\/y*y*y\/((y**(1\/5)*y*y)\/y)*((y\/y**35)\/y)\/y*y*y**(-36))**(-3) assuming y is positive.\nAnswer: y**(1263\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1841*u**3*v**2*z - 2*u**3*v - 11*u**3 + 2*u**2*v + 4*u**2 - 9166*u*v**3*z + 114950*u*v**3 wrt z?\nAnswer: 1841*u**3*v**2 - 9166*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -491*t = -514*t + 472056 + 79208. Does 53 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 356072 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 143, 0, 46, -2.\nAnswer: -2, 0, 46, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 56301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 67857569 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 55 divided by -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -48 + 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -105*n - 6 - 91*n - 46*n + 6 to the form q + m*n and give m.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/106 and (-2)\/(-14) + (-193530)\/89040 + 2.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -2*q**3 + 784*q**2 - 326*q + 127800. Calculate j(392).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 4*s - 469 = -1622, -3*k = -2*s - 705. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10.8 - -11. Sort 1, v, -57 in decreasing order.\nAnswer: 1, v, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -21*a - 6. Let y be 7\/(-2) + (-18)\/(-12). Let t be s(y). What is the greatest common divisor of 90 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2862 - 2859. What is the second biggest value in -13, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13887529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 54 - 89. Suppose 110*y = 105*y - 460. Let d = x - y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1226958 rounded to the nearest ten thousand?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-5))**(-6\/11)*(r**(-4)*r)**(-4\/29) assuming r is positive.\nAnswer: r**(828\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 44366767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 90 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3220 + 3225 - 6445 - 269*f**3 + 252*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/2*(44\/2)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -122 + -30?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*t - 17*t = 1105. Let i be t\/(-65) + 3\/5. Solve -i*q = 10 + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r*r*r*r**(-1\/2))*r\/(r**(-5\/3)*r)*(r**(1\/2))**(-46\/7))\/(r**1*r\/(r*r**3)*((r\/(r\/((r\/((r\/(r**(-2\/3)\/r))\/r))\/r)))\/r)**(2\/73)) assuming r is positive.\nAnswer: r**(-1069\/1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -64.3 - -64.4. Which is the nearest to i? (a) -0.3 (b) -0.5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -112 + 782\/7. What is the third biggest value in 0, 0.1, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -55*b - 261. Let j be u(-11). What is j rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = -4*m + 210. Suppose -5*l + 0 = 5. What is the remainder when m is divided by ((-25)\/10)\/(l*3\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.12 + -2.88. Sort 3, s, 6, 4 in descending order.\nAnswer: 6, 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 4*o + 134 = -5*o, q + 2*o = 38. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -37241314, -37241326, -37241330, -37241320, -37241290, -37241234, -37241146, -37241020?\nAnswer: -37240850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 5*c = -85, -2*p + 2*c + 3 + 27 = 0. Let i = -4 + p. What is the units digit of i*((-5)\/(-3) - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**2 + x**2 - x**2 + (10*x**2 - 2*x + 2*x)*(-7 + 1 + 3).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*h**3 + 6970*h**2 + 718475*h + 711510.\nAnswer: 5*(h + 1)*(h + 111)*(h + 1282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 0*z + 17*z**3 + 13 + 2*z**2 + 0*z - 3*z**2. Let c(k) = k**3 + k**2. Let p(g) = c(g) + s(g). Find the first derivative of p(t) wrt t.\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2*x + 345 = -4*b, -4*b = 2*x - 666. Suppose -1617 + x = -5*j. Suppose -6*l = -j - 146. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 6) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1434 + -1436. Let u be 1\/(-3) + (-14)\/30. What is the second smallest value in 4\/5, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1398 - -1397.9998758. Round p to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 97*p**2 + 17*p**3 - 30*p**3 + 16*p**3 - 4*p.\nAnswer: 3*p**3 + 97*p**2 - 4*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of x**4 - 2*x**3\/3 + 15*x. What is the second derivative of p(u) wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 90\/(65 + 950\/(-16)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/336 and -7\/2.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = u + 5. Suppose u*x - 15209 = -3*o, -o - 7603 = -x - 2*o. Round x to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26052 is divided by 107.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-50)\/100*-3*124\/(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -10\/2103093 and 73\/13227.\nAnswer: 2103093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.9*-56.\nAnswer: 106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the third derivative of 181*b**5\/60 - b**4\/3 + 7*b**3\/6 - 22*b**2 - 1. What are the prime factors of y(3)?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 564 a factor of 289976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.03 + 0.33. Let p = h + -0.301. Round p to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -2\/75 (c) -276 (d) -2\/13 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3\/6 + -2)\/12. Let w = -9 - -1. Let f = 3 + w. Put l, f, -11 in decreasing order.\nAnswer: l, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 - 1)*(-15)\/60. Solve 4*y - 5 = -b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rt when two letters picked without replacement from rrrrjrtrrrrjtr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 36*k - 38*k. Let s(o) = 7 + 12*o**2 + 4 - 3*o**2. Is s(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 6*w - 1. Let u be d(2). Let y be 14\/(-49) + -2 + 1371\/21. Suppose 6*b - 8*b = 5*q - y, -b - 7 = -q. What is the greatest common divisor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2095 + 1130. List the prime factors of k.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/28)\/((48026\/(-777))\/59)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1266 divided by 2.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1*34*(-164)\/820*(-5)\/(-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + q - 534 - 273 = 0, -2*q = k - 207. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -151\/42 and -43\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 5:32 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(1\/2))**(-1\/29))**36\/((o*o**(-1))**(-2\/55)*o**(-6)\/(o\/o**(-2))) assuming o is positive.\nAnswer: o**(243\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102*d + 550 = -164. Solve y - d = -3*x + 5*x, -4*x = 3*y + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 592\/7 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) -55179721 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2867*a - 1089460. What is z(380)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1179 and 2745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 4*f - 6*w + 2*w, -4*f + 2*w + 18 = 0. Solve -f*c + 3 = -5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 + -4. Solve 5*o + l = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3961 - -19?\nAnswer: -3942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r**2 + 730992*r - 3654860 = 0.\nAnswer: 5, 182743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 421 a factor of 37309441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h + 2*q - 9, 0 = -2*h + 7*q - 3*q - 10. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/40 (b) -0.91 (c) 3\/5 (d) -3 (e) 2 (f) -5 (g) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k**(1\/3)\/k)*k)\/k)**(31\/4)\/(k**(-3)*k**(-1)) assuming k is positive.\nAnswer: k**(203\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2. Let c be 1*(-2 - -3 - -1). Let x(d) = 65*d - 65*d + 13*d**c. Determine x(o(t)).\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 472318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of m*o**4 - 9*m*o**3 - 3439*m*o**2 + 54*m*o - 7624*o**4 + 2*o**3 - 2*o - 3 wrt o?\nAnswer: 24*m*o - 54*m - 182976*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.049 - 0.151. Which is the closest to 1? (a) 0 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -58\/904491 and 38\/1507485?\nAnswer: 4522455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -3*w - 1. Suppose -2*a = a + 3. Let v be q(a). Solve -5*z - v = 3*l, 0*z - 5*z + 2 = 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -73*u + 17 + 39 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 m, and 2 i when four letters picked without replacement from {s: 1, i: 1, m: 1, g: 3, z: 2, l: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by 979899\nAnswer: 8\/979899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14.57 + -58547.\nAnswer: -58532.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110100000100 - -1010?\nAnswer: -110011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/(-8))\/((-9)\/(-24)). Let g be (-18924)\/(-180) - f\/15. Let m = 98 + g. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 11894524168.79 - 58\nAnswer: 11894524110.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.011436 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 60 + -56. Suppose 11 = o*b + 3. Let z = -2 - -3. Solve b = -3*m - z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j + 6536*t + 19 = 6538*t, -10*t + 11 = 3*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/1 + -5)*1. Suppose 24 = -l - 3*l. Let h be 2\/(-45)*l\/(-2). What is the closest to 0.1 in 2, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 2*i - 3. Suppose w - 1 = -i. Sort w, 0, -4 in increasing order.\nAnswer: -4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, v: 1, j: 2, d: 3, w: 1, h: 1}. What is prob of picking 2 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 + 163*j**2 + 1079*j + 394. Give h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 1757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 383628 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from {s: 9, m: 9}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 13 = w. Let g = -293 + 521. Let f = g + -130. What is the greatest common divisor of w and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*l + 17*t - 22*t - 148, t + 4 = 0. Sort -2, -4, -17, l in decreasing order.\nAnswer: -2, -4, l, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18 and 52560.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/(-14) - 348\/(-42). What is the highest common divisor of 72 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and 0.163.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 769642561*a**4 - 595687113 wrt a.\nAnswer: 3078570244*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59*v = -62*v + 9. Calculate the lowest common multiple of v and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 + 4*u + 155. Let i(b) = b**2 + b. Let g(s) = -4*i(s) + r(s). Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2044703307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((-1 + sqrt(612) + -4 - sqrt(612)) + sqrt(612))*-3 + (sqrt(612) + 2*sqrt(612))*-1 + 2*sqrt(612) + -4)*-2)**2.\nAnswer: -2112*sqrt(17) + 39652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8169805 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 465819 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -4*j - 1. Let t be x(-1). Solve u - 12 = t*n, -2 = n - 4*u - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1317, -1712, -2359, -3258?\n\"Answer: -126*s**2 - 17*s - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3.6 - -4. Let i = 18.7 - -117.3. Let j = -132 + i. Which is the closest to 0.1? (a) 7 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 50279815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7\/27 - -23\/297. Let k = -19 - -19.1. What is the closest to k in -3, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 2 and -4.40923845965.\nAnswer: -2.40923845965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + -11111022?\nAnswer: -11111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -56\/11 + 5. What is the third biggest value in 7\/2, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -2*k**2\/11 - 58891322*k\/11 + 58891324\/11 = 0.\nAnswer: -29445662, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.042 - 1.042. Which is the closest to -2\/3? (a) 5 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the first derivative of v**9\/1008 - v**8\/840 + v**7\/2520 - 2*v**3\/3 - 2. Let h(n) be the third derivative of d(n). Solve h(l) = 0 for l.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0493 + 0.2507. Let m = y - 1.26. Round m to two dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11572852979.1 less than 0.0917?\nAnswer: 11572852979.1917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3860*x - 7140*x - 36080 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -68534 + 5?\nAnswer: -68529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -1.4, -2\/3, 23, -2\/7, -0.2 in decreasing order.\nAnswer: 23, -0.2, -2\/7, -2\/3, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 330 and 1914.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -103028, -103025, -103022, -103019?\n\"Answer: 3*u - 103031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -28762*p**3 + 3*p + 19 - 2*p**2 + 28897*p**3 - 19 - 2*p**4 in the form u + y*p**3 + d*p**4 + c*p + b*p**2 and give y.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 2*b**2 - 6*b**2 + 6*b**2 - 1 + 0*b**2 - b**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k**3 + 0*k**3 + 0*k**3)*(6*k - 7*k - k - 1).\nAnswer: -4*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 2 + -5 - (32 + (-42 - -22)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-360)\/(-27))\/(-20))\/((-8)\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-16)\/(-20))\/((-2)\/(-15)). Let u be (-1 + 3)*405\/w. Suppose -i - 4*l + 144 = 3*i, u = 5*i - 4*l. What is the remainder when i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 235218 is divided by 1417.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 2 = z. Let s(d) = -7*d - 3. Let y(v) = -8*v - 2. Let g(w) = -3*s(w) + 4*y(w). What are the prime factors of g(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, n: 2}. What is prob of sequence nvn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fifty-five quarters of a millennium?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-4) + 2\/(-4). Let c = 0 + i. Solve -3*h + 0*h - 15 = c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -850, -1695, -2538, -3379, -4218, -5055, -5890?\nAnswer: -6723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 10:31 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 - 47. Let c = -14\/27 - -461\/108. Calculate the common denominator of (-15)\/(-9)*l\/(-30) and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2952012 a multiple of 678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - 2. Let k(y) = -y - 3. What is the units digit of k(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 2 - (1 - 2 - -10) - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x - 2*x + 0*x)*(-4 + 11 + 5).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4888 is divided by 543.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (92 - 99) + 2 + 0 - -29\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 175603414?\nAnswer: 2, 7, 359, 34939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 447 - 361. Calculate the lowest common multiple of v and 22.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3754576 and 7056.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -14*u**3 + 20*u**2 + 34*u - 30. Let m(p) = 5*p**3 - 7*p**2 - 12*p + 10. Let f(n) = 17*m(n) + 6*x(n). What is f(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 11) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -13*l**4 + 40*l**4 + 6*l**4 + (-l**2 + 0*l**2 + 0*l**2)*(-l**2 + 0*l**2 - 5*l**2).\nAnswer: 39*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10*(-210)\/(-375))\/(9\/(-15)).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 31 = 5*o, -3631*d + 37 = -3629*d + o. Solve -d*t - 39 - 115 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 2*t**3\/11 - 722484*t**2\/11 - 33960986*t\/11 - 65032020\/11 = 0.\nAnswer: -45, -2, 361289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l**2 - 5*l + 9. Is d(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (119 - -10 - 257) + 232.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 2*o = 4*l + 58, -42 = 4*o + l. Let c be -2*o\/28 - 1. What is the closest to c in -1, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.3 - -0.1. Suppose -25*k = -62 - 88. Let u be 1 - (k - (-35)\/(-5)). Which is the closest to u? (a) t (b) -4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5345*i**5 + 11*i**4 + 24*i**3 + 3*i**2 + 157773*i + 1?\nAnswer: 320700*i**2 + 264*i + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 397962 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -117663 divided by 3017.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4913716*k*p + 2009*k + 18 wrt p.\nAnswer: -4913716*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.08 + -0.02. Let s(c) = -c**3 - 6*c**2 - 5*c - 1. Let y be s(-5). Is o at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5320*v + 3 = -5324*v - 3*b, 5*b + 5 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -18841264 = -73*j - 18835278 for j.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from feqfffffnffuff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 3*v + v - 63, -m = 5*v + 27. What is the remainder when 18 is divided by m\/(-7) + (-14)\/(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:11 AM and 7:32 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 535350 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 523747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 15\/62 (c) 84 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -6, -1, -3332, -8, -3, 5 in increasing order.\nAnswer: -3332, -8, -6, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 278\/(-31) + (81\/(-54) - 21\/(-2))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddw when three letters picked without replacement from djdlw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 124 - 3*u**2 + u**3 - 252 - u + 130 to h + m*u**2 + z*u + b*u**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 - 56. Is 5\/(-5) - (1 + u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31394?\nAnswer: 2, 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*o**3 + 2*o**3 - 4*o**3)*(2*o**2 - 2*o**2 - 2*o**2) - 9*o**5 + 3*o**5 - 5*o**5.\nAnswer: -29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/42)\/(37\/(-222)*(-9)\/(-3)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30 - -50. Calculate the highest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, q: 2, y: 1, r: 9, c: 1, v: 2}. What is prob of sequence cs?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 36077575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = 297*l - 292*l - 19, 4*l + 4 = 4*u. Solve -o = -2, 2*o + 15 = u*b + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k. Let s = 6 + -7. Suppose -p = -5*y + 4, 4*y = -4*p + y + 7. Let m = s - p. Let o(z) = -2*z. What is m*o(t) + 5*g(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-16648)\/(-36) + 8\/20*5. Let z = o - 464. Determine p so that 4\/9*p**2 + 1\/9 + 2\/9*p**3 - z*p + 2\/9*p**5 - 5\/9*p**4 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffmfmfmfqfmll. What is prob of picking 2 f?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11915\/722 - -1\/361. Find the common denominator of (-114)\/28 - (-6)\/21 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 16, -3*v + 46 = -2*v + x. Let m be ((-128)\/(-5) - 0)\/((-5)\/v). Let u = -165 - m. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*s + 5*r + 52 = -10 + 7, 4*s - 36 = 12*r - 16*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - (4 + -7 - 19)) + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1562200 rounded to the nearest ten thousand?\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(7\/(63\/6)). Suppose h = -v*h + 104. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of g**2*q + 422158*g**2 + 14*g*q - 1542*g wrt g.\nAnswer: 2*q + 844316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -326 bigger than -6885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 2 + 18. Suppose -3*j = -7*j + 16. Put 1, k, j in descending order.\nAnswer: j, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -2124*b. Let a(l) = 12*l**2. Determine a(h(t)).\nAnswer: 54136512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3263*q + 3245*q - 126 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**2. Let g(c) = -3*c**2 - 6*c - 1. Let m(j) = -g(j) - 2*p(j). Suppose -3*z = 2*z + 25. Calculate m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*k + 8*k - 18*k**3 - 5303 + 2641 + 2662.\nAnswer: -18*k**3 + 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -148 + 106. Let w be o\/(-5) - 2\/5. Suppose w + 0 = 4*a. Solve a = p - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:32 AM and 12:56 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the third derivative of j**6\/120 - 3*j**5\/20 - 13*j**4\/24 + 13*j**3\/6 + 3*j**2 + 6. What is u(10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-2) - ((-27)\/6 - -3). Which is the biggest value? (a) 0 (b) 3\/5 (c) 5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4320)\/(-144))\/(3\/(-2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -40*s + 425. Let k be q(8). What is the highest common divisor of 375 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 + -21. Let u be 1\/3 + (-3728444)\/s. Let n = 90704 - u. What is n rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*d + 3758 = 3618 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 22 = -10*n. Suppose n*t - 4*a + 10 = 0, 2*a - 3 = -5*t - 2*a. Let h be t - (-34 + 3)*-16129. What is h rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.4, 10, 1\/7, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 612805708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 408.3789 decades in centuries?\nAnswer: 40.83789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 969907 + 1978*t**2 - 969907 - 1985*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z - 11. Let o be m(12). Let x be (o\/(-1))\/(-1) - -1. Suppose 7 = x*n - n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 - ((0 - -2) + 1). Let u be ((-52)\/4)\/(p + 2). Let z = -5 - u. Solve -z + 3 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2\/7)\/b**(-1\/4))\/(b**(-2)*b**5) assuming b is positive.\nAnswer: b**(-85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14049 + 8569. Are -5479 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -k + 9. Let m = 16 + k. Suppose -4*c + 2*c + m = 0. What is the remainder when 42 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 5370, 21498, 48376, 85998, 134358, 193450, 263268?\n\"Answer: -z**3 + 5381*z**2 - 8*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - 41 = -3*j, 40 = 201*j - 198*j - 5*o for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 713, 1477, 2279, 3137, 4069?\n\"Answer: 3*u**3 + u**2 + 740*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 5 = 0, 0*x - 2*x = -4*v + 1026. What are the prime factors of v?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1397.19736 - 1397. Let c = -0.2 + a. Round c to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -3*o + 20, -6*h - 14 = -7*h - 3*o. Let y be (-1)\/h*((-2 - -6) + 0). Find the third derivative of 53*u**y - 3*u**2 + 20 + 18*u**2 - 8 - 11 wrt u.\nAnswer: 1272*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (37\/(-3))\/(1\/(-3)). Suppose 2*d + 2*d = -5*q - i, q + d = -8. Let g be ((-7)\/q - 2)*-5. Solve a = -u + 3, -4*a - g*u - 15 = -8*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 24339, 48521, 72703?\n\"Answer: 24182*y + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.7041114 minutes?\nAnswer: 42246.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44568286?\nAnswer: 2, 7, 281, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2396761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -580*c - 77 = -136*c + 367 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 15) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1\/3)\/(3\/18). What is the nearest to -0.1 in 0.5, -1, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6705, 13654, 20603?\nAnswer: 27552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**2 - 3*y - 3*y + 5*y - 11*y**3. Let i be r(-1). Suppose g = -0*g, 0 = -f + 2*g + 8. Solve -3*x - i = -4*s - 36, 5*s + f = -4*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.0387 (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.4 - 0. Let d(t) = 22*t**3 + t**2 - 1. Let i be d(1). Let n = i - 196\/9. What is the nearest to n in 5, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y + 18*y = -1078. Find the common denominator of (-4)\/2 + 38\/(-60) and (y\/36)\/(29\/(-58)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 + 15*s + 5. Let f be x(-5). Let h = -3193\/71 - f. Is h at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(1\/(-5) + 0). Let l(a) = -3*a - 6. Let o be l(q). Let t = -67 - -112. Calculate the highest common divisor of o and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 + -11. Let o(s) = -s**3 + 6*s**2 + 8*s - 4. Let x be o(l). Let d be x\/33*-3*2. What is the second smallest value in 1, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**4)**(-17)*((j*(j*j**(-4))\/j*j)\/j)\/j**(-3\/8))**(-32) assuming j is positive.\nAnswer: j**2260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 328 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*2*sqrt(108) + sqrt(108))\/sqrt(12)*-5)\/(-4*sqrt(192)*2 + (sqrt(192) + 1*sqrt(192)*-4 - sqrt(192)) + sqrt(192)).\nAnswer: 25*sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -16*q**2 - 26*q - 11. Let v(x) = 12*x**2 + 25*x + 9. Determine -5*v(l) - 4*z(l).\nAnswer: 4*l**2 - 21*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (22*g + 3*g - 10 - 3*g)*(7 - 1 - 3)*(g + 2*g + g).\nAnswer: 264*g**2 - 120*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 53822 and 52368806.\nAnswer: 52368806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 103141361 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is ((-532709)\/(-4))\/((-3)\/(-24))*(-32)\/(-64) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**3*p**6*p)\/(p**(-3)\/p**4) assuming p is positive.\nAnswer: p**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1183 (b) -554 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.28 - -1.279999872. Round z to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*6*(sqrt(7) - (sqrt(7) + -2*sqrt(252)))**2*4.\nAnswer: -72576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.5 + -1. Let r be (-5)\/((-210)\/(-24)) + (-784)\/(-3773) + 8\/22. What is the closest to r in v, 0.081, -2\/11?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 60993 and 648.\nAnswer: 487944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -8*l**2 + 25*l - 46. What is x(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (21 + -1)*(0 - -1). Let p(y) = y**2 - 6*y + 28. Let d be p(5). Let c = d - r. Solve 4*k = -a + 2*a - 9, c = -3*k - 3*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 199 + -198. Let x(d) = 2*d - 2. Let u be x(f). Solve u = -6*m - 2 - 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 s, and 1 z when three letters picked without replacement from {a: 3, s: 7, d: 1, c: 1, z: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 713 divided by 23?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 6033.734 litres to millilitres.\nAnswer: 6033734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -106054 divided by 13?\nAnswer: -8158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 156 + -79. Let f = 0 + -2. Let d be 2 - f\/(2\/9). What is the highest common factor of d and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 65412 (base 7) to base 14.\nAnswer: 5d42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 18*b**5 - 9*b**4 + 22*b. Let n(q) = -9*q**5 + 4*q**4 - 11*q. Let l(w) = -9*n(w) - 4*x(w). Find the second derivative of l(g) wrt g.\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2803684?\nAnswer: 2, 13, 53917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from mjvsjvyvvvsssjvsp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 52 = 4*i - i, i - 3*v = 0. Let u be 4\/18 - (-2)\/(-9). Suppose u*x + 2*x - i = 0. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(18\/(-6)))\/(2*-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 - 20*g**2 - g - 13. Let z be -12*(-2)\/(-21)*(-2275)\/(-130). Calculate j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 18747598 and -0.3.\nAnswer: -5624279.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + c = 3*v - 16, -2*c - 10 = -3*v. Suppose 5*t + v*f = -f + 970, -4 = -4*f. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 - -94?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 299 + -299.147. Let r = q + -1.053. Which is the third smallest value? (a) r (b) 2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 + h + 1. Let n be l(2). Let d(g) = 2*g**2. Let x be d(-1). Suppose -127*b = -13973 + 13338. Put b, x, n in descending order.\nAnswer: b, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1496159784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/(1*(-2)\/(-6)). Let f be (1 + -1 + 4)\/(0 + 2). Solve -4*r = -o*x, -f*r - 4 = 2*x - 6*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 5*k = 266. Suppose 0 = -4*t + 239 + k. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10.4 + -2.6. Let o be ((-2)\/(-7))\/((-5)\/(-105)). Suppose 42*b + o*b = 0. What is the nearest to b in 2, -5, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of -2*v**5\/5 - v**3\/3 + 13*v**2 - 116. What is the second derivative of g(k) wrt k?\nAnswer: -24*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 125*y**5 - 6947995*y**4 + 96549130080*y**3 + 3861976320*y**2 = 0.\nAnswer: -1\/25, 0, 27792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be 588\/(-15) - (-3)\/15. Suppose 189 = s + 2*s + 3*q, 5*q = 4*s - 288. Let t = s + n. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 42610, 2, -14, 1\/3, 19, -5\/3?\nAnswer: 42610","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9207 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > -179\/21484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from lcrtkekrklet?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - -65?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hfofffkpkppkpc. What is prob of picking 1 c and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 + 2. Solve m - 2*m - a = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**3 - 950*q**2 + 108416*q + 1054152 = 0. Calculate q.\nAnswer: -9, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes before 3:02 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 120564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.11 (b) -6 (c) 2\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -36 - (-29 - 8 - -13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -125.3 - -126.3. What is the biggest value in r, 3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 824 is divided by 270?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 3*a. Let y = 3 + a. Factor 0*o**3 + 2*o**y - 2*o - 1 + 1.\nAnswer: 2*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of -2\/5*d**6 - 4*d**3 + 3*d + 0 - 4*d**4 - 1\/28*d**7 + 0*d**2 - 9\/5*d**5. What is r in m(r) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 1 - 3)*(3*a**2 - a**2 - 4*a**2) + (-2*a + 2 - 2)*(-1 - 4*a + 9*a - 6*a) + 2*a**2 - 2*a**2 + a**2 + (5*a**2 - 8*a**2 + 13*a**2)*(2 - 1 + 0).\nAnswer: 9*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 30 + 118. Let u = r - -23. Solve s + u = 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -2*a + 1 + 1, -5*a - 22 = -b. Factor 1\/5 + w + b*w**3 + w**4 + 2*w**2 + 1\/5*w**5.\nAnswer: (w + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-30))\/((-21)\/(-20)). Let c be 676\/(-120)*4\/(-42). Let z = r + c. What is the third biggest value in 5, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + -4 - (4\/6)\/((-39)\/2106)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-75)\/(-5)*99\/165.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-2)*2\/14.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 2, -1.4, -7 in increasing order.\nAnswer: -7, -1.4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -69 by 929562.\nAnswer: -23\/309854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -37*n + 34*n + 2*w, -5*w = -4*n - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2835130, 2835124, 2835120, 2835118, 2835118?\nAnswer: 2835120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor b**2 + 1227765*b - 9822184.\nAnswer: (b - 8)*(b + 1227773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**5*o\/o**(2\/11))\/(o*o*o**(-1))**(2\/65))\/((o**(2\/7)\/o)**(-2\/57)*(o*o*o**(-1)*o)**(-13)) assuming o is positive.\nAnswer: o**(9061322\/285285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-16\/7))**35*o**(-31)\/(o**(1\/12)*o) assuming o is positive.\nAnswer: o**(-1345\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 200 and 220?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 11. Suppose -12 = -h*u - 0*u. Suppose f - 4*k = 122 - 30, -u*k = -2*f + 192. Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2 - 66*i**3 + 52*i**3 + 15*i**3. Calculate y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + -1. Suppose 0 = -k + 4*r - 2*r - i, -4*k - 3*r + 16 = 0. What is the units digit of k\/((28\/8)\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 912.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31369.\nAnswer: 13, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = -2*d + 13, -2861 + 2734 = 5*w - 8*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 + 6*w**2 - 5. Let n = -330 + 335. Determine s(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/217 and -18\/155.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25127\/4 + -4196187\/668. Calculate the common denominator of l and 101\/54.\nAnswer: 9018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 + 6*b**2 + 6*b + 7. Let t be y(7). Let c = 0 + t. Solve 0 = -4*v - c - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 4 = 2*k. Does 13 divide 698\/18 - k\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1178, -4, 0.3, 4, 3\/5, 11 in decreasing order.\nAnswer: 1178, 11, 4, 3\/5, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*p**2 - 1719*p + 10*p**2 - 11000*p**4 + 10923*p**4 wrt p.\nAnswer: -924*p**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -16 (b) 0.3 (c) -162 (d) -10 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -23, -71, 3, -3\/2, -1\/4, -2, 0.44?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 5, 2, 16, -2, -172.\nAnswer: -172, -2, 2, 5, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 632 a factor of 496594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -5*p + 7841, 32*p - 4705 = 29*p + v. Is 33 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9619.09 - 9506. Let g = i - 1.09. Let m = -111.99788 + g. Round m to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q = -n - 2*n - 3, 3 = -3*n + 3*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = -2*r - 28. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3695 + -1825. Is x a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1400*f + 0 + 0 + 47*f.\nAnswer: 1447*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -22 (b) -2\/137 (c) -1 (d) 1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -45528374 or -45528375?\nAnswer: -45528375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -25. Solve 7*v = 3*v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101*g = 107*g - 54. What is the lowest common multiple of 10\/4 - (-8)\/16 - -105 and g?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24303, -97299, -218991, -389403, -608559, -876483?\nAnswer: -1193199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 5*a. Let q(d) = -2*d + 6. Let x(o) = 2 + 4 - 2*o - 1. Let r(z) = 5*q(z) - 6*x(z). Determine r(c(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1101200 (base 3) to base 14\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be 34*2\/((-4)\/(-1)). Let n = 28 - o. Suppose 0 = -3*r + 47 + 49. Calculate the remainder when r is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-109 - 90 + 289)*(-1 - 4 + 4*p + 7) to the form w + z*p and give w.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2588428 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3068.78 millennia in centuries?\nAnswer: 30687.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 44 and 1474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**2 - t + 1. Let r(d) = -d**3 - d**2 + d - 1. Let q = -42 - -41. Calculate q*i(a) - r(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -107 - -110. What is the third derivative of -7*v**2 - 91*v**2 - 8*v**3 - 66*v**3 + 5*v**3 + y*v**3 wrt v?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 558*t**2 - 1. Let j(f) be the first derivative of 8*f**3\/3 - 41. What is r(j(u))?\nAnswer: 35712*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43291 is divided by 268?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 0*h**2 - 7 - 3*h + 5*h - 3*h + 5*h**2 + 8*h. Let w(a) = 5*a**2 + 6*a - 6. Give -6*q(o) + 7*w(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be 12\/5 - 4\/10. Find the second derivative of 1 + k*g + 1 - 2 + 2*g**5 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-13)\/52)\/(33\/(-24))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - o = -16. Suppose 3*v - 6 = 3*l, -2*l = 3*v - 18 - 3. Put 2\/3, l, -1\/2, o in descending order.\nAnswer: o, l, 2\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**3 - 3*u**2. Let p be a(-2). Let s = 178 + -192. Let c be (-10)\/p - 7\/s. What is the nearest to 2\/5 in 2, -5, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -557 divided by 69\nAnswer: -557\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**2 - 4*j + 1. Let o be v(-3). Suppose -u + 17 = -o. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 97 divided by 1404.\nAnswer: 97\/1404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**2 - 21. Calculate s(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmaeecfvameececee. Give prob of picking 1 v, 2 c, and 1 e.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the third derivative of 0*b**3 + 1\/315*b**7 - 1\/90*b**5 + 0 - 8*b**2 + 1\/36*b**4 - 1\/180*b**6 + 0*b. Factor x(o).\nAnswer: 2*o*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 30*t**5 + 70*t - 70*t + (t**3 - 3*t**3 + t**3)*(t**2 - 2*t**2 + 0*t**2) + (t**2 - 53*t + 53*t)*(-2*t**3 + 4*t**3 + 0*t**3).\nAnswer: 33*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.16758282 rounded to 3 decimal places?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 248808 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 + 9. Suppose -3*v = -4 - s. What is the tens digit of -2*7*(-4 + v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -337*q + 3231. Determine v(10).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 23 = 2*q - 0*j, -5*q + j = -15. Suppose -2*c - q*y + 21 = y, -y = 3*c - 38. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31915200 divided by 218?\nAnswer: 146400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19 + 18*m**2 - 29*m**3 - 18*m**2 + m + 20*m**3 - 47*m**3 wrt m.\nAnswer: -336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 27 + -16. Let w = u + 4. What is the remainder when w is divided by ((-6)\/(-8)*12)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15956987 at least as big as 15957018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60188868*u + 2004558*u + 28307666*u.\nAnswer: 90501092*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6844 + 15204. Is c a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 772 (base 8) to base 5.\nAnswer: 4011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be -5*(20\/12 - (-56)\/(-21)). Let z be 8 - (3 - 0)\/3. Let d(q) = -z*q + 4 + q**2 + 2*q - 2*q. Determine d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/273 and -73\/178724?\nAnswer: 536172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2956 a factor of 10928332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 43569 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 11 + 4 = -o, -5*b = -4*o - 35. Let s be ((-6)\/b)\/(42\/(-147)). Solve -3*d + f + 10 = 0, d = s*d + 3*f - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -51 - 156. Let s be v\/783 - 2\/(-6). Is s greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19144813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the first derivative of -d**5\/20 - 3*d**4\/2 - 10*d**3 - d**2\/2 + 14*d - 102. Let a(x) be the second derivative of r(x). Factor a(j).\nAnswer: -3*(j + 2)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 7*d**3 - 3*d + 12. Let z(x) = 16*x**3 - 2*x**2 - 5*x + 25. Let o(r) = 7*t(r) - 3*z(r). Calculate o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 - -12. Suppose 2*o = c*b + 18, 2*o - 4*o + 24 = -2*b. What is the remainder when 54 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*s + 3609450 + 1358550. Round s to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.2 - -0.43. Let x = -0.0336055 - -0.263601. Let a = x - t. What is a rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5089*n - 2193*n + 4708*n)*(3*n + n - 3*n) + 1 + 2*n**2 - 2 - 5*n**2.\nAnswer: -2577*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9.984 and 79.\nAnswer: -788.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x + 9. Let m be z(4). Suppose -393 = -2*b + m*u, b + 6*u = 2*u + 177. Is b a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-4 - (2 + 1 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2846849786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 2043*d + 128762. Determine t(-63).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 48 + -12. Let c = d + -32. Solve 0 = -10*u + 5*u + 4*a + 26, c*u = -5*a - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 2 p, and 1 h when four letters picked without replacement from {h: 1, z: 3, x: 1, p: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 3470033*z + 33. Let r be i(-1). Round r to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -31714 or 4\/35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 2, 160, -14, 3 in increasing order.\nAnswer: -14, 2, 3, 17, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*k + 114 = -166 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 3*w + 9*k + 23, 2*w + 3*k + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 58037, 116077, 174117?\nAnswer: 232157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -129, -879, -2137, -3909, -6201, -9019?\nAnswer: -12369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000000849 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 92447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ja when two letters picked without replacement from ujjjajujuyjauau?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, 0.05, -628, 3, 3\/10 in decreasing order.\nAnswer: 5, 3, 3\/10, 0.05, -5, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.1 (c) -13 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 8405.6106 rounded to the nearest 100?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 - 4 - 0 - 152. Let q = -42 - m. Let x = -28 - -44. What is the highest common factor of q and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26021428 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: What is 22261 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1a - -15?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1760 and 2640?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 160160959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8 (b) 0.1748 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 461 + -461.000511. What is j rounded to 5 decimal places?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (55 - -1) + -91 + -28?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17631*v**2 - 2*v - 23647 wrt v.\nAnswer: -35262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*i**5 + 0*i**2 + 0*i**2 + (-3*i + i**2 + 3*i)*(-4 + 4 + i**3) + 2 + 3*i**5 - 2 - 2*i**5 + 4*i**3 - 4*i**3 - i**5 + 2*i**2 + 0*i**5 - i**2.\nAnswer: 3*i**5 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-12 - (-34 - (-28 - -13)))\/((-3)\/9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuummxmux. What is prob of picking 1 m and 3 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**3 - 14*y**2 - 13*y - 1. Let m be f(-13). Let u(s) = 2 + s - 2 + 100*s**2. Let z be u(m). Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 94015, 188032, 282049, 376066, 470083, 564100?\n\"Answer: 94017*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, j: 5, g: 4}. Give prob of sequence vg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.3836 - 4.3836. What is the closest to -275 in 4\/7, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 1. Let d = -1248 - -1248.2. Put i, -4, d in descending order.\nAnswer: i, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8756544, 17513080, 26269616?\nAnswer: 35026152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -2082.8564 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*m + m - 2464. Suppose -7*f = -m - 798. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-102)\/(-620) - 306\/4743\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -223.519585469046 + 10561095.584585799046. Let l = r - 10560872. Let z = -0.065 + l. Round z to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 44 - -2b?\nAnswer: 6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -22 - 33. Let y be (-64)\/(-3) + 2\/3. Let v be 4*(-2 - y\/(-8)). Solve 0 = -v*q + x - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -u**5 - 17*u**4 - 41*u**3 + 353*u**2 + 1650*u + 1800 = 0.\nAnswer: -12, -5, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -47182, -47278, -47532, -48022, -48826, -50022, -51688, -53902?\nAnswer: -56742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 3 = -2*k - 8, -5*k = -2*s + 23. Sort k, 41, 4 in descending order.\nAnswer: 41, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12259031 and 1356?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 9438055 a multiple of 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -3*x - 1. Suppose 5*g - 1 - 9 = 0. Suppose 1 = u + 4*w, -g*u = u + w - 3. Give j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 21.32 times 3602\nAnswer: 76794.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the second derivative of -i**5\/20 + i**4\/12 + i**3\/6 - i**2\/2 + 16*i + 2. Let f(q) = 8*q**3 - 8*q**2 - 7*q + 7. Give 14*d(h) + 2*f(h).\nAnswer: 2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ygyg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be 342\/(-81) + (-4)\/(-18). Let l = -1 - f. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**2 - 16*p + 38. Let q be i(-18). Which is the closest to 0.23? (a) q (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -2*m + 7, -4*v = -m + 3*m - 6. Suppose -a = a. What is the second derivative of a*d + d + 0*d**5 - 2*d**m - d**5 wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 5, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 193 - a50556?\nAnswer: -a50373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -78, -242, -480, -774, -1106?\n\"Answer: 3*t**3 - 55*t**2 - 20*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1858 + -1863. Sort 61, -4, f in increasing order.\nAnswer: f, -4, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2813434 micrograms to tonnes.\nAnswer: 0.0000000000002813434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1696043 * -0.09\nAnswer: 152643.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.4, -3.8, -3, -0.4, 5.71?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4 + (-7)\/(-28) - 0 - (-9)\/(-36). Solve 0 = 4*l - h*v + 16, 0 = -5*l - 16*v + 12*v - 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n**5 + 4*n**4 - 107*n**3 + 422*n**2 - 544*n + 224 = 0. Calculate n.\nAnswer: -14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence whww when four letters picked without replacement from {w: 5, h: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 5*x. Let y(f) = 3*f - 2*f**2 - 9*f**2 - 4*f - 11*f**2 + 9*f**2. Calculate y(n(s)).\nAnswer: -325*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -152 * -729.\nAnswer: 110808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 485, -3, 1 in ascending order.\nAnswer: -3, 1, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -3 (b) 3 (c) 1\/2 (d) 9 (e) -44\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3887531027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 899375, 1798665, 2697957, 3597251?\nAnswer: 4496547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (6\/5)\/(18\/1305)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 + 24bb8?\nAnswer: 24bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-21)\/(-98)*((-8)\/(-3))\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(-2) + (-9499)\/19054. Let r = -83009\/8166 - j. Calculate the common denominator of r and (-7)\/280*4\/(24\/(-915)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*m + 44 = -7*m. What is the highest common divisor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*d**3*g**3 - 531*d**2*g**3 - 30*d*g**2 + 16*g**3 wrt d?\nAnswer: 12*d*g**3 - 1062*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -132 - 399*l - 33*l**2 - 132 + 264 + 399*l.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2796533 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.03? (a) -0.5 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that 5*m**2 - 6875*m + 2251530 = 0.\nAnswer: 538, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -2*k + 3. Let h be u(0). Let x = 14 - h. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1.24, 5, -75, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4053 - 2091 = -3*p - h, -10224 = -5*p + h. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 45*o + 12. Let j be i(2). Let a = j - 100. Solve a*x = v - 2 - 2, -x = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 27738 - 27738 - 2*s. Let n(h) = -h**2. What is r(n(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -4.536 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -j = -2, -37*g + 9 = -42*g - 8*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**2 + 88. Let o(v) = -2*v**2 - 47. Give s(o(w)).\nAnswer: 8*w**4 + 376*w**2 + 4506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 150.1 - 150. Let q(m) = 23*m + 156. Let j be q(-7). Which is the closest to 1? (a) l (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/(-72)*2\/((-8)\/30). What is the closest to -1 in j, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -335933820*o + 2*o**3 + 335933820*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 3*z = -22296, -3*r + 22271 = -0*z - 2*z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - w - 19 = 12*z - 15*z - z, 4*z - 4*w = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of -7*n**5\/5 + 295*n**4\/2 + 1955*n**2 + 7145. Find the second derivative of q(g) wrt g.\nAnswer: -84*g**2 + 3540*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40 - 41. Calculate the remainder when 341 - (u*3)\/((-36)\/48) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the second derivative of i**5\/120 - i**4\/12 + i**3\/4 + 46*i + 1. Factor q(o).\nAnswer: o*(o - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 2*t = 4 + 14, 2*u + 5*t = -10. Let b = 939\/22 - 85\/2. Sort u, b, 1 in increasing order.\nAnswer: b, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -8, 6\/7, 13 in increasing order.\nAnswer: -8, -5, 6\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6807, -11668, -16539, -21426, -26335, -31272?\n\"Answer: -w**3 + w**2 - 4857*w - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 34714.3766 rounded to 0 dps?\nAnswer: 34714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.4, -9\/4, 3\/8?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2*n**3 - 5*n**2 - 16*n - 25. Calculate i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3342 = -6*v + 8250. Suppose v = 3*d + 2*m - 77, 4*d - 2675 = m. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-1 - -4) - (78 - (31 - -78))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7957\/8 + -996. What is the common denominator of 93\/20 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 661 - 393. Suppose 2*f + 3*f + m - g = 0, -f - m = -52. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -27 and -0.08388.\nAnswer: -27.08388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-10)\/2*1\/2. Let z be (-2)\/(-8) + 3\/(-4). What is the smallest value in z, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 16*g**2 + 2*g - 115. Let f(z) = -7*z**2 - z + 58. Calculate 2*a(o) + 5*f(o).\nAnswer: -3*o**2 - o + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 63*w**5 - 169840731*w**4 + 1803541677*w**3 - 5313568689*w**2 + 2790229740*w - 404381100 = 0.\nAnswer: 2\/7, 1\/3, 5, 2695874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 14334701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -29\/52, 4, 3, 4\/3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 2*(2*sqrt(2299))**2 + -5 - (((sqrt(57)*2)\/sqrt(3) - -4*sqrt(133)\/sqrt(7))*3)**2.\nAnswer: 12226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 108 = -2*c, -4*n - c = 34 - 110. Solve -4*l = 2*i + n, 3*l - 24 = 14*i - 9*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 33*v - 3. Let h be m(2). Let k = h + 12. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 2*t**3 + 3*t - 1 - 5*t**2 - t**3 - 2. Let k(s) be the first derivative of -s**2\/2 + s + 1. Let b be k(-3). Give n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -i**3 + 117*i**2 - 80*i**2 + 13 - 2*i - 89*i**2 - 19*i**2 + i to the form r*i**2 + q*i + c + v*i**3 and give r.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 324 + -253. Suppose 77*z = n*z + 6. Which is smaller: 1\/38 or z?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (696\/290)\/(1551\/(-235))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 744.283247965 - -163.716756705. Let q = r + -908. What is q rounded to seven decimal places?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 192 and 168.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 - -11. Let c be -7*(z - (1 + 0)). Suppose 0*i + c = 2*i. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3ac9 (base 15) to base 13.\nAnswer: 5946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16 and 5504?\nAnswer: 5504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/(-30))\/(6\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/((-1485)\/5)*849\/283.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 3*h + 1 = -g, 0 = 3*h - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 30330 (base 5) in base 12?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -12*f**2 - 16*f - 40. Let i be o(-4). What is the common denominator of -37\/176 and -7 - -4*(-203)\/i?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5534 - -5533.00032. Let o = -1 - c. What is o rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7146325 is divided by 1486?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 u, 1 l, and 1 c when four letters picked without replacement from zzxczcubzuzbczlzzbz?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5817 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6643, -8729, -10815, -12901, -14987, -17073?\nAnswer: -19159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 51551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -1291.9967 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, b: 2, o: 1, c: 1, n: 1, q: 1}. What is prob of picking 1 b, 1 c, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -8a + 93708?\nAnswer: 9366d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -60758 + 60757.999890212. Round z to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2541 a factor of 703630851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (-1 + 26 - 26 - (-41 + (-3 - -9))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 150 divided by -6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z + 7. Let c be y(4). Solve -5*s = -4*p + 10, -s + 2 - 4 = -c*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 123 (base 5) to base 6\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -13*i + 2604. Suppose -6*c + 173 = -i. Let h = c - 27. Do h and 38 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34204*w**2 - 16358*w**2 - 16417*w**2 - 1 + 1.\nAnswer: 1429*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65 = -3*t - 26. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3 - 0)\/(12*3\/264). Let r = u + 29. What is the lowest common multiple of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8 and 146.\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2726*49\nAnswer: -133574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6\/9)\/((-16)\/6 + 2). Let s = a + 35. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 89291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -11) + -35 - -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -21*b**2 - 540. Let k(o) = 10*o**2 + 252. Let s(d) = 15*k(d) + 7*q(d). Let l(y) = y**2 + 41. Determine s(l(p)).\nAnswer: 3*p**4 + 246*p**2 + 5043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 70*h - 9. Let o(v) = -68*v + 7. Calculate 4*k(t) + 5*o(t).\nAnswer: -60*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.06 and 11.2?\nAnswer: 0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-4)*176\/704\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together 3626770 and 2.\nAnswer: 3626772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c - 4*v + 404 = 385, 11 = -2*c + v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 838*o + 4784 - 123 = -346*o - 1259 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 2*n**2 + 239*n - 6232. Give z(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 94772 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76 - (-13 + 39 + 26).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*i = -28*i - n - 1, 0 = n + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.7 + 0.4. Let p = 0 - 0.2. Let t = -9251 + 9250.9. Which is the biggest value? (a) p (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 161371\/49 - (-12)\/294*-7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from tggtuggutuf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -4\/7, 5, -8.6037?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 2*z = 2*z + 56, -3*w = 5*z - 11. Suppose 0 = -22*k - 206 + 690. What is the least common multiple of k and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 4*h**2 + 9*h + 4. Let a(b) = 3*b**2 + 8*b + 5. Let y be (0 + 2 + 0)\/(-1). Let f(p) = y*q(p) + 3*a(p). What is the units digit of f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1264 divided by -316\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1 + -0.16. Let z = u - -0.06. Which is the smallest value? (a) -3 (b) -1\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 40081203 and 40081204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8338 - 8340. Which is bigger: -53\/55 or o?\nAnswer: -53\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 3. Let g = n + -1. Suppose g = q - 7 - 2. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 7, v: 7, g: 2, y: 1}. What is prob of picking 1 v, 1 y, and 1 g?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(11) - sqrt(275))**2 - (2*(0 + sqrt(11)) - sqrt(11)).\nAnswer: -1056 - sqrt(11)","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 wrxrxrwwrwr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3*(10\/(-3) - -2). Suppose -v = d*v - 5. Let g be ((2 - 3) + -2)*(-58)\/(-6351). Which is greater: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of f**5\/660 + f**4\/88 - 3*f**3\/11 + 23*f**2. Factor i(c).\nAnswer: (c - 3)*(c + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00006945321691 rounded to 6 decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 18*g + 9. Let s(n) = -91*n - 44. Suppose -r = -c + 13, 2*c = -4*r - c - 38. Let d(o) = r*f(o) - 2*s(o). Let i be d(-5). Round i to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -13206 by 2.\nAnswer: -6603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2160427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 404*x - 402*x - 3266 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, 2\/5, 0, -0.1, 10\/209, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 31547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48\/20*357\/476.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1617 and 2827077?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -21886\/57 + 7308\/19. What is the nearest to -1 in 27, -3\/5, -5\/4, s?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/427 (b) 2\/9 (c) 3101\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -12862610*v + 6328 = -12862497*v for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14 + 21. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-639)\/(-189) + -3 + 2\/(-3). Let w(y) = -3*y**2 - 13*y - 8. Let s(c) = c**2 + 6*c + 4. Let a(n) = 5*s(n) + 2*w(n). Let q be a(5). Is o bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4349 - -5611. Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 0.3 and -7278.22.\nAnswer: -7277.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/1070 and -49\/107.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 117*h - 123*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 59*h**3 - 59*h**3 - h**2 + 8*h**4 + 2*h in the form k*h**2 + t + a*h + x*h**3 + j*h**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 219671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 110 divide 61829533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the first derivative of -k**9\/72 + k**5\/12 + 5*k**2 + 10. Let i(p) be the second derivative of t(p). Find the third derivative of i(j) wrt j.\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 2*m**3 - 5*m**2 - 29*m + 20. Does 14 divide d(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-620)\/1550 + 2*(-123)\/(-15)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -30 (base 7) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -343*y - 9078*y**2 + 166*y + 177*y + 8992*y**2.\nAnswer: -86*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 - 8. Let u(b) = -8*b**2 + 7*b. Let z(s) = 5 - 5 + 26*s**2 - 22*s**2 - s - 3*s. Calculate h*u(x) - 7*z(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 2196*d**2 + 2*d**4 + 3*d - d**3 - 2196*d**2 + 4 in the form t*d + g*d**3 + n + f*d**2 + p*d**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -231 + 225. Solve -3*a - 15 = 5*p, 5 = -2*p - k*a - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8941*s**2 - 1595*s + 4 wrt s?\nAnswer: 17882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 61808793.\nAnswer: 3, 457, 45083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 99 - 17. Let b = -82 - w. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/103680 and -47\/65880.\nAnswer: 6324480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 + 9*x**2 + 2*x - 15. What is the smallest common multiple of 2 and v(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1473, -2948, -4425, -5904, -7385?\n\"Answer: -j**2 - 1472*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 108621440 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -8047, -8043, -8029, -7999, -7947, -7867, -7753, -7599?\n\"Answer: s**3 - s**2 - 8047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes after 5:37 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-49)\/(-343)*(-2 + 51).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 40\/29, -2\/9?\nAnswer: 40\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 65*l**5 + 89*l**5 - 1084*l**5 + (l - 2*l**2 - l)*(3*l**3 + 0*l**3 - l**3).\nAnswer: -934*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3987*y + 3573*y - 7536*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 + 11710242?\nAnswer: 11710242.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -59 bigger than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2901 or 2903?\nAnswer: 2901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 199551573.69999981 + -199551576. Let r = -2.324 - -0.024. Let o = r - q. What is o rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 210.28 or 0?\nAnswer: 210.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -3 * -0.9391\nAnswer: 2.8173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44 + -48. Which is greater: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4930 + -142992\/29. Let j = 117\/116 + k. Factor j + 3\/8*q**3 - 1\/8*q**4 - 1\/8*q**2 - 3\/8*q.\nAnswer: -(q - 2)*(q - 1)**2*(q + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the second derivative of c**8\/3360 + c**7\/2520 + c**4\/12 - c. Let i(q) be the third derivative of h(q). Find the third derivative of i(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/657, -0.3, 245433, 0.3 in descending order.\nAnswer: 245433, 0.3, -4\/657, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a factor of 6633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 137\/110 and 187\/29280.\nAnswer: 322080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -38 + 37.9. Put -3, 8, w, -0.5 in descending order.\nAnswer: 8, w, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b**2\/2 - 20055*b\/2 - 40070 = 0 for b.\nAnswer: -4007, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h + 3 = -4*m, 9*h = -3*m + 10*h + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4179, -1363, -6905, -12447, -17989?\n\"Answer: -5542*u + 9721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -2*i - 5*n, -56*n + 3 = -3*i - 52*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -329*v**2 - 2*v - 163*v**2 - 2*v.\nAnswer: -492*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 25888.45 kilometers?\nAnswer: 2588845000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/20 and 64\/122915.\nAnswer: 491660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3313 + 442043331?\nAnswer: 442040013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*o - 20, 12*a - 20 = 14*a - 2*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of -5*b**6\/18 + 17*b**5\/15 - 11*b**4\/12 - 13*b**3\/9 + 8*b**2\/3 - 4*b\/3 + 12. Solve p(y) = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x - 12. Let a be l(-5). Suppose 0*s - 3*b - 7 = 2*s, 3*s = 5*b + 18. Let q be (1\/1)\/s - a. Solve j = -j + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/4*7488\/234.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 1 (b) -3\/8 (c) 0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -2 - 0. Let t be (-10)\/(-2) - (s - -1). Let i(z) = z**2 - 3*z - 7. Let b be i(t). Solve 3*y = -b - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1.2, 1, 75.1, 4\/41 in descending order.\nAnswer: 75.1, 2, 1, 4\/41, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand l**5 - l**5 + 13*l**5 + (l + 2*l + 0*l)*(0*l + 7*l**4 + 0*l).\nAnswer: 34*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*o**3 - 5096051*o**2 + 5096051*o**2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.007566172 to four decimal places.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**2\/7 - 9*y\/7 + 30.\nAnswer: -3*(y - 7)*(y + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**2 + 16*q - 3. Let p be c(7). Let o(x) = -3*x**3 - 32*x**2 + 11*x - 11. Let a be o(-11). Let y = p + a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3155825 or 3155820?\nAnswer: 3155825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -0.03, -7\/6, 21, 0.1.\nAnswer: -5, -7\/6, -0.03, 0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 2*r - 7*r - 670, 4*f - 2*r = 540. Calculate the least common multiple of 46 and f.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 165693.\nAnswer: 3, 11, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the third derivative of p**6\/120 + 19*p**5\/20 + 92*p**3\/3 - 50*p**2 - 28*p. Find the first derivative of r(b) wrt b.\nAnswer: 3*b**2 + 114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (226\/(-113))\/(((-6)\/(-10))\/(936\/22360)).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of 4*f**2 + 1\/600*f**6 - 1\/150*f**5 + 1\/1050*f**7 + 0*f**3 + 0*f**4 + 0 + 0*f. Determine m so that w(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.2 + -1.2. Let v = 0.4 - 2.4. Put -1, h, v in descending order.\nAnswer: h, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 4*q**3 - 2*q - 1. Let z be s(-1). Let m be (z - -1)*5\/2. Suppose -348 = -43*h - 44*h. Which is the biggest value? (a) m (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 24 + 2023?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, a: 7}. What is prob of sequence ggga?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 1, k: 11}. What is prob of sequence kkkk?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 2*t + 8, -3*h - 8 = t. Let y(n) = -2*n. Let f(q) = 7*q. Determine h*f(p) - 9*y(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1242 and 12454?\nAnswer: -15467868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve b**2\/4 - 467*b\/4 - 117 = 0 for b.\nAnswer: -1, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (j + 0*j - 2*j)*(-3*j**2 + 3*j**2 - j**3) - 48 - 559*j**4 + 9 + 39 in the form d*j**2 + a*j**4 + l*j**3 + n*j + t and give a.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = z - 39, 0 = 4*b - 4*z + 32 - 116. Let h(m) = 1 + 5*m**2 - 2 - 5*m - 3 + 6*m. What is the remainder when h(-3) is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*o + 0*o - 9*o**3 + (0 - 4*o + 0)*(3*o**2 - 5*o**2 - o**2) + o**3 + o - o in the form k*o**2 + n + p*o**3 + q*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - 3834?\nAnswer: -3830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 650981 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-64)\/(-24) + 19 + 3101\/(-147)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*i - 2*i. Let l be -2 + (-1 - (-24)\/i). Suppose -2*w + 2*g = -0*g - 198, 0 = -l*w + 5*g + 305. What is the greatest common divisor of 38 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -54*z - 2. Let q be t(3). Suppose -36*x + 216 = -18*x - 9*x. Calculate the common denominator of -4 - (q\/x + -2) and 41\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/20839 and -4\/20839.\nAnswer: 20839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2760, -12014, -27444, -49050, -76832?\nAnswer: -110790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11 - (-2 - 5)) + (-3 - 5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4208759 to the power of 1\/2, to the nearest integer?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5093 + 8864. Suppose -z = -26*m - 989. What is the remainder when m is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 245*d + 5*j - 2336 = 164, -2*d - j = 16 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 1075*g + 4 - 542*g - 536*g. Suppose -3*y = -0*w + 5*w - 1, -w - 1 = y. Give r(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 826*g + 727*g - 1681*g.\nAnswer: -128*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -19*m**3 - 1. Let h be c(1). Let s be (24\/h)\/(2\/(-10)). Let o be -3*(10\/(-6) + 0). Solve o*n - s = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times -10.28\nAnswer: 5.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.5+588.8\nAnswer: 589.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -59035 divided by -80\nAnswer: 11807\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 459 and 2584.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 4, x: 2, g: 2, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 + 7*v**2 + 7*v - 1. Let s be d(7). Suppose -2*c + 0*c = -s. 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 prob of sequence zz when two letters picked without replacement from fzrwftfrzffzitr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -95060, -101025, -106990, -112955, -118920?\n\"Answer: -5965*q - 89095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1171\/2 - -584. Which is smaller: 41.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.05 + 6.05. Let q = b + -6.3. Let c = -5.3 - q. What is the smallest value in 4, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -y + 14. Let j = -30 + y. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 5*n - 5 - 2*n - n**2 + 0*n + 10. Let c be s(3). Suppose 5*v - 4*k + 56 - 271 = 0, -v = c*k - 14. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**7\/m*m**4)**(13\/3))**(3\/8) assuming m is positive.\nAnswer: m**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of 0*u**3 + 0*u**4 + 1\/30*u**6 - 1\/105*u**7 + 0*u + 14*u**2 + 0 - 1\/168*u**8 + 0*u**5. Factor n(o).\nAnswer: -2*o**3*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 3:59 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -1288890*p**2 - 5*p - 3. Let w(g) = -g - 1. Let r(a) = -i(a) + w(a). Let z be r(-3). Suppose n = -n - z. Round n to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1601 + -0.1361. Is 1\/4 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0, -0.06, -1\/4, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1369835?\nAnswer: 5, 273967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 0.1 (b) 3 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -6697250 divided by -2225\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-2337*y**2 - 3807*y**2 + 2061*y**2 - 3305*y**2)*(4*y - 2*y - y) in the form r*y**3 + q + n*y**2 + u*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -104*q. Let w(i) = 359949*i. What is w(z(l))?\nAnswer: -37434696*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -121 and -0.05.\nAnswer: 6.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 4*x - 732, -27*p + x + 1197 = -22*p. Calculate the greatest common divisor of p and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 548*p**3 + p**2 + 0*p**2 - 557*p**3 - p**2.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 22528 and 16.\nAnswer: 22528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-4 + sqrt(1088)*1)*-5 + 1*(sqrt(1088) + 3 + sqrt(1088) + -1))*1)**2.\nAnswer: -1056*sqrt(17) + 10276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 17778 (base 11) in base 3?\nAnswer: 1021010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 78947080 to the power of 1\/2, to the nearest integer?\nAnswer: 8885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n**2 + 207*n**2 - 207*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1 + -0.8713594413306\nAnswer: -1.8713594413306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4*10\/(1 + 4). Suppose -y*p - 2 + 10 = 0. Let f = 37\/4 - 1139\/124. Which is greater: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(2 + (-4*-2*-1*(-2 + sqrt(252)))**2*-4).\nAnswer: -12288*sqrt(7) + 131068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-15 + 10 - 9 - 3) + 0 + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 2:50 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1813724 is divided by 225.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 59 - -22. Suppose p = 4*f + 1. What is the lowest common multiple of f and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 1 (b) -4 (c) -0.11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 - -1. Let c = 218 - 214. Suppose -a = c*i - 32 - 1, 3*a - i - 73 = 0. Calculate the remainder when a is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1129 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 9648048 by 7152.\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7393930 is divided by 3845?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one sixteenth of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 394.7 + -412. Let p = 17.1 + n. Sort 3, 1\/2, p, -3\/2 in increasing order.\nAnswer: -3\/2, p, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 247952949 to the power of 1\/2, to the nearest integer?\nAnswer: 15747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - ((-9 - -8) + -1) - 7) + 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the third derivative of -621*q**5\/20 + q**4\/6 - 19*q**3\/2 - 1167*q**2. What is the second derivative of o(m) wrt m?\nAnswer: -3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(25\/20) + 48\/10\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1249395*s**4 - 15275911?\nAnswer: 4997580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 10 = -r. Let k = r - -22. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - -4. Suppose 3*p + 9 = 5*l + 3, l - 15 = -j*p. Put -4, 4, l in descending order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45061540 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pvgxtrxp. What is prob of sequence rt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.076 (b) -62 (c) 272.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/151976 and 57\/56.\nAnswer: 1063832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 340 (b) 0 (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*c = 6*g + 44, 52 = -5*g + c. Let k = 1734 + -1722. What is the remainder when (-1030)\/g + 1*2 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1617 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -2*h - 0*h. Suppose -k + 4*k = h. Solve k*a + 2*u = -3*u - 28, -5*a = 5*u + 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -11*y**3 + 61*y**2 - 376*y - 3. Give k(6).\nAnswer: -2439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1085 and 501088?\nAnswer: -54368.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2311342 and 337106?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 13*o + 7. Suppose 3*c + 0*k - 8 = k, -3*c + 32 = 5*k. Is x(c) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 27 = -5*j + 3*w, j + 32 = -4*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -231*b + 211989?\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -48\/19, -0.03, 12 in decreasing order.\nAnswer: 12, -0.03, -48\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - -27. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor t**2 + 160103*t - 47478104.\nAnswer: (t - 296)*(t + 160399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 6*b + 4. Let p be y(-3). Let h = p + 24. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 2 s, and 1 p when four letters picked without replacement from {p: 2, g: 5, s: 8, j: 2}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33150, -33112, -33040, -32928, -32770?\nAnswer: -32560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5231 - 1162. What are the prime factors of q?\nAnswer: 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 13, d: 3}. What is prob of picking 3 z?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r**3 - 28*r**3 - 19*r**2 + 7*r**3 - 11*r**3 + 9*r**3 + 18*r**3.\nAnswer: 2*r**3 - 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 31*i**3 + 26*i**2 + 7*i - 7. Let u(g) = -15*g**3 - 13*g**2 - 3*g + 3. Let h(r) = -3*k(r) - 7*u(r). What is the third derivative of h(w) wrt w?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6.2 - -5. Let j = u - -0.7. Which is the third smallest value? (a) -0.4 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 765029404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2, 633, 2344, 5675, 11166?\n\"Answer: 90*h**3 + h - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (24 - 27) + -1 + 1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.046 (b) 344 (c) 6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 12201 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19*(-144)\/3192*(6\/(-4))\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33 and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 258 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = w - 2. Suppose -w*t + 52 = 4*p - 2*p, 0 = -t + 4*p - 5. Solve -4*l + t = -9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 176 + 35 - 15*h**2 + 2*h - 327.\nAnswer: -15*h**2 + 2*h - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1761801181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = 4*z + 50. Suppose 1 = x + 3*p - 0, 5*x - 5*p = z. Let j(k) = k**2 - 3*k + 6. Let i be j(3). Solve 2*n + i = -0*n - x*w, -3*w + 3 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * -134\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 296388851 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q - 10*q**2 + q**3 + 18*q**2 - 9*q**2 - 12. Suppose 4*w + 1 - 1 = 0. What is u(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16898? (a) 1\/6 (b) -15 (c) 4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 34*p + 0 - 4.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35155520 and 202520?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 0.3, 178, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -2\/9, -5\/2, -17, -2\/3, 26, 0.03?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*m - 64 + 58, -2*w - 21 = -5*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmemmmmmmmmmmeme. What is prob of sequence me?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -6*a**2 + 39*a - 16. Let r be p(6). Solve -11*z - 14 = -2*j - 12*z, -j - r*z + 13 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-23)\/l)\/l)**48 assuming l is positive.\nAnswer: l**(-1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 473024 and 69312?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1353 or 72?\nAnswer: 1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.032 + -46.064. Let g = h + 46. What is g rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 265 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1103559197 to the power of 1\/2, to the nearest integer?\nAnswer: 33220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -61 + 61.00004472. What is i rounded to six dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31400 is divided by 1427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -100110 (base 2) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -26, -31, -36, -41, -46, -51?\n\"Answer: -5*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -345 = -w + 5*k, -4*w + 2*k + 1476 = 6*k. Suppose -42*i + 37*i + w = 0. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 + 2 - ((90 - 81) + (1 - 15))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -121, -5, 5, 14 in increasing order.\nAnswer: -121, -5, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 112\/16*2\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8936, -9080, -9222, -9374, -9548, -9756, -10010, -10322?\nAnswer: -10704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-2\/5)\/q)**(-8)\/(q*q**(-5)*q**(2\/3)))\/((((q*q**(2\/11)*q)\/q)\/q)\/q*q*q*q**(-1\/4)*q*q*q*q)**(1\/7) assuming q is positive.\nAnswer: q**(9127\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1042 - 443. Let h = -598.9999547 + y. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from dvbfvcdr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 6481.457m in centimeters?\nAnswer: 648145.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -83207 + 1081693\/13. Factor l*x**2 - 6\/13*x - 20\/13.\nAnswer: 2*(x - 5)*(x + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**3 + 19*q**2 - 23*q - 53. Give l(17).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from {a: 8, g: 9, c: 2}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -89*p - 3217. Calculate r(-14).\nAnswer: -1971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 9128055349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16 + -1 - ((-162 - -59) + 119)) + 0 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 78643719 a multiple of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -171*w**2. Let m(x) be the third derivative of 0*x**3 - 1\/24*x**4 + 0*x + 0 - 250*x**2. Determine u(m(j)).\nAnswer: -171*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65099 is divided by 657?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 51.648 and -7.9064147?\nAnswer: 59.5544147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, 132, 517, 1276, 2535, 4420?\nAnswer: 7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*q + 7*q + 42. Let m = q - -44. Suppose -m*z - 33 = -277. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 4*j - 13, 2*j = 7*j - 4*v - 24. Let m be 2\/(21\/15 - 1). What is the second derivative of 18*b**4 + 23*b**j + 13*b**m - 41*b**4 + 8*b wrt b?\nAnswer: 260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dvvdvvyvddq. What is prob of sequence vdd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 681 + -471. What is the smallest common multiple of 14 and b?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**2 + 3*k + 1. Let s be l(-4). Suppose s*i + 2 = -3. Is -109*i\/2*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.5 (b) -3 (c) -9 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*w**4 - 122*w**3 + 512*w**2 - 520*w = 0. Calculate w.\nAnswer: -65, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 12*m**2 - 14*m + 33. Let v be x(2). Solve -12 = v*c - 59*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -349, 3, -3, 1 in increasing order.\nAnswer: -349, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1164493 is divided by 6063?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138314.\nAnswer: 2, 11, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -210786561 or -421573123\/2?\nAnswer: -210786561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -2*q**2 - 5*q + 6. Let s be a(-4). Find the common denominator of 70\/3 and ((-55)\/35)\/(2\/s).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 2 q, and 1 k when four letters picked without replacement from {q: 3, l: 2, k: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 544419 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42 - -48. Suppose 3*b = 4*p - 100, 4*p - 2*p + m = -2*b. Let q be ((-24)\/10)\/(8\/b). What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 6*b**2 - 10*b - 5. Let k(v) = -6*v**2 + 9*v + 4. Let t(y) = 4*f(y) + 5*k(y). What is the second derivative of t(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.004929 to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 60, 106, 148, 186, 220, 250?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3624, 28915, 97564, 231249, 451648, 780439, 1239300, 1849909?\n\"Answer: 3613*x**3 + x**2 - 3*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 29 (base 15) to base 6.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.53*-0.7.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 847 + -1591. Let y = i - -743.9. Suppose -7*d + 5*s + 5 = -2*d, 4*d + 5*s = -5. Which is the closest to y? (a) -4 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20409 or 5191?\nAnswer: 20409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 71*a**2. Let b(o) = -68*o + 1. Determine b(w(r)).\nAnswer: -4828*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 2*s - 2, -5*s - 3*y + 12 = -7. Suppose -s*q = -2*u + 84, u - 210 = -4*u + 2*q. Calculate the highest common divisor of 42 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2\/71 + -289\/12780. Let b(p) be the third derivative of -1\/45*p**5 - 1\/36*p**4 - q*p**6 + 0*p**3 + 0 + 0*p + 4*p**2. Factor b(h).\nAnswer: -2*h*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**3 - 3*u - 9*u + 13*u)*(13*u + 11*u + 2*u).\nAnswer: 26*u**4 + 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 14 = -30. Solve -u*h = 2*v - 18, h = -v - 4*h + 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 150361392*d**5 + 8*d - 21880657 wrt d.\nAnswer: 3007227840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 256, -612, -4, 0, -5, -1 in ascending order.\nAnswer: -612, -5, -4, -1, 0, 5, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6634 and 212567?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8\/39 + -76\/117. Let b = k - -17\/18. Let m = 24 - 22. Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(3)*2 + sqrt(12)\/sqrt(4) + 3.\nAnswer: 3 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 2\/2115385327?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44441, 44440, 44427, 44396, 44341, 44256, 44135, 43972?\nAnswer: 43761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -104200, -104166, -104132?\nAnswer: -104098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 + 15*w - 12. Let l be d(-17). Is l not equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**3 + 13*g**2 + 21*g - 9. What is n(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1\/9 (b) -104\/77 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -205\/3 - -69. Put -0.4, 1\/3, c in descending order.\nAnswer: c, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7.4 + 7.3. Let o = 5936.5 + -5937. What is the closest to n in 0.2, 5\/3, o, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xeegvexee. What is prob of sequence xvgx?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 2 = -0*s. Suppose s*a - 61 = -5*n, n - 23 = -2*a + 18. What is the remainder when 66 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 501080563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 2 - 2)*(-1 + 5 - 3) + 5 - 1 - 5 - 8 + 3 + 1)*(-5 - 1 + 3)*(-541 - 19*y + 541).\nAnswer: -399*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.07 + -14.93. Let k = -21 - v. Suppose -33*r = 70 + 29. What is the second smallest value in -5, k, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -280, -573, -866, -1159, -1452?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 173\/30 and 59\/870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64303 is divided by 118.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 6*v + 6. Let c(w) be the first derivative of -148 + 4\/3*w**3 + 0*w**2 + 0*w. Calculate c(h(z)).\nAnswer: 144*z**2 + 288*z + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 68 - 150 - 17 - -62?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13 - -10. Let u = -99 + 694\/7. Which is the closest to -1\/5? (a) u (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the second derivative of -k**3\/6 - 3*k**2\/2 - 2*k. Let f be b(-5). Solve -f*i + 0*h = 3*h - 14, -i - 4*h + 17 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 35611 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u - u - 12. Let s = -13 + u. Let d = -5 - s. Solve -7*z - 22 = -d*p - 2*z, 0 = -3*p + 4*z + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 774454 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1943 and 69426.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 499 is divided by 147?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1201012 is divided by 5617?\nAnswer: 4591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9590808 to the nearest integer?\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -118 + 160 = -7*u. Let l(a) = a**3 + 7*a**2 + 8*a + 1. Give l(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -2*q + 16. Let n(r) = 6*r - 48. Let j(c) = 6*n(c) + 17*x(c). Let f be j(6). Round f to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 224751*x**3 - 9*x**2 + 3877*x + 1 wrt x.\nAnswer: 1348506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = -5, -2*f + 2*y - 11 = -y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from ababaaaaaaaa.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1691088600 rounded to the nearest one million?\nAnswer: -1691000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*o + 2*o + 3*d - 14, 0 = -4*o + d - 10. Is o at least 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 222*a**3*z**2 - a**3*z - 594*a**3 - 10*a**2*z - 16983*a*z**2 wrt a.\nAnswer: 1332*z**2 - 6*z - 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*l - 1220 = -120 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 161 - 156.85. Let w = a + -0.15. What is the fourth smallest value in -0.2, -5, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 37 - 33. Let f(b) = -930*b + 930*b + 13*b**2. Give f(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.92656 to 1 dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 277 + 23*z - 26*z + 176 + 11*z**3 + 2*z**3 + 5*z with respect to z.\nAnswer: 39*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4636 + -2651. Suppose -4*p + 1605 = -w, 0*p + 3*w = -5*p + h. Suppose 4*j + 100 = p. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 54 + -52.602. Let j = i + -0.398. Let h = -1.96 - 0.04. Which is the third biggest value? (a) -1 (b) -21 (c) h (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (226 - (136 - -8)) + -11 + 1.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = 10*h - 20. List the prime factors of -1 + 111 - (9 - h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 6) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be 60\/9*(-3)\/(-2). Suppose 3*v - 5 = c. Put -1, v, 0 in descending order.\nAnswer: v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 4*x = -5*x. Solve 2*z - 2*q + 16 = x, -2*q + 4*q - 7 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the third derivative of -k**8\/42 - k**7\/21 + 11*k**6\/60 + 7*k**5\/30 - 7*k**4\/12 - 2*k**3\/3 + k**2 - 5. Let c(b) = 0. Calculate b.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 200 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, n: 2, g: 1}. Give prob of sequence nnoo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 46\/9*d + 2\/9*d**2 - 116\/3 = 0.\nAnswer: -29, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 4*p + 8 = j, -2*j + 5*p = 20. Suppose j = -5*c + 1360 + 1170. Let t = c + -298. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 16\/(-6)*(-12)\/8 + -4. Suppose -258 = -6*d - i*d. Suppose -v + d = u, 2*v + 2*v = -12. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70594.38 kilometers in millimeters?\nAnswer: 70594380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5361 - 612?\nAnswer: 4446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 26, 1, -152 in increasing order.\nAnswer: -152, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 745, -1\/25, 308?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*5*((-13)\/273)\/(1\/3)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -63 in 0, 5, 6, 23345?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -273*a + 23. Let r be w(-3). Suppose -2*x = -3*v + 1772, -r = 4*v + 3*x - 3182. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + 1)*(-9 - 38\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) -0.3 (c) -3\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -494 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {i: 8, d: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1101001100000010000100 (base 2) to base 3\nAnswer: -20111122022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 - 2.624.\nAnswer: -3.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -207382*x**4 - 42398*x?\nAnswer: -2488584*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 202 = 5*x, -10*h + 2 = -11*h. Let p(a) = -a**3 + 6*a**2 - a + 2. Let i be p(3). Let q = x - i. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 239 = -11*a + 217 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -17261453 (c) -1\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 477 - -4197. Is x a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -7, -27, -57, -97, -147, -207, -277?\n\"Answer: -5*k**2 - 5*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 5141653 (base 7) to base 11\nAnswer: 390342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m - 1 + 0*m**3 + 0*m**3 - m**2 + 5*m**3. Let c = 3 + 3. Suppose 5*f - z = c, -5*f + f = -z - 5. Determine a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -513, -1379, -2633, -4275?\nAnswer: -6305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -636834 - -2069710457\/3250. Calculate the common denominator of z and 31\/12.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -56124696 divided by -24?\nAnswer: 2338529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 19*o - 6*o - 5*o + 20*o in the form d + b*o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -4, 294 in increasing order.\nAnswer: -4, 5, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 16, -216, -920, -2330, -4680, -8204, -13136?\n\"Answer: -39*o**3 - 2*o**2 + 47*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of 1\/735*z**7 + 13*z**2 - 1\/21*z**3 + 1\/42*z**4 + 0*z - 1\/210*z**6 + 0 + 0*z**5. Factor j(h).\nAnswer: 2*(h - 1)**3*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -40.79 - -2.99. Let i = g + 38. Let k = -3.5 - -3. Put k, i, 5 in descending order.\nAnswer: 5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*l**2 - 463*l - 453*l + 916*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**3 - 8*x**2 - 9*x + 5. Let h be l(9). Suppose -3*f - h*u = -179 + 3, u - 160 = -3*f. Let a = -35 + f. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from fffffiffiffiffy?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -24010 (base 8) to base 6.\nAnswer: -115240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/40 and -99\/1907684.\nAnswer: 19076840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 2*x**3 - 25*x**2 - 12*x + 7. Calculate q(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 4*v + 8 = -5*t, -2*t = -4*v - 4. Let p be t*4\/36 + (-16)\/(-72). Which is greater: p or 2\/115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.6 + -1.628. What is h rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 4*k**3 - 28*k**2 + 33 + 37*k + 17*k**3 - 17*k**3. Let c(g) = g**3 - 7*g**2 + 9*g + 8. Let x(a) = -9*c(a) + 2*f(a). Calculate x(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/1395 in -2\/9, 1\/7, -3\/4, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 873761 at least as big as 873760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fdfddfdd.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 30 + -31. Let z be (3 - k)\/(-1) + -45. Let w = z + 73. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -135*h + 373. Let z be o(3). Put z, 5, 13 in decreasing order.\nAnswer: 13, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, f: 2, c: 1, p: 2, x: 1, k: 1}. What is prob of sequence pxck?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-190*l + 150*l - 95*l)*(6 + 14 - 5 + (2 + 4 - 4)*(3 + 0 - 1)).\nAnswer: -2565*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 512*b**4 + 2*b**2 - 285*b + 14. Let s(v) = 256*v**4 + v**2 - 142*v + 6. Let h(x) = -7*s(x) + 3*u(x). Find the third derivative of h(m) wrt m.\nAnswer: -6144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 311\/4 + -77. Which is the fourth biggest value? (a) -0.146 (b) i (c) 0.1 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 22142 (b) -0.4 (c) 4 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 - -3.4. Let s = 46 + -42. Which is the nearest to -0.1? (a) p (b) 1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -91 + 91. Sort 4, o, -3, -5.\nAnswer: -5, -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -31\/8 or 1\/2?\nAnswer: -31\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -93*m**6 + 429*m**2 wrt m.\nAnswer: -11160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of j**3\/3 + 14*j**2 + 12*j + 41. List the prime factors of v(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (57\/(-38))\/(-1 + -8). Which is the nearest to 1\/5? (a) v (b) 2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 35588 and 457724?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4261*f - 2114*f - 2146*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -37 - -37. Is 140 + 4 + (-1 - y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (236 + -237)\/(2\/(-25)*35\/(-224)*2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 2:07 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**5\/4 + 7*q**4 + 8*q**3 - 41*q**2\/2 - 143*q\/4 - 29\/2.\nAnswer: -(q - 29)*(q - 2)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/((-5)\/30*2). Let j(h) = 4*h - 4. Calculate j(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, l: 4, c: 1, k: 3, e: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 45630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - -5) + (-25 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 12844184 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2. Suppose -7*q + 4*q = -72. Let i(z) = 12*z - 10 - 9 - 8 + q. Calculate m(i(o)).\nAnswer: -144*o**2 + 72*o - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 442101 or 14589338\/33?\nAnswer: 442101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 723?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-12)\/36 + (-368)\/(-6) + 2. What is the highest common factor of d and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -18588*-90.7\nAnswer: 1685931.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 1.66, 2\/3, -5, 5, -0.27 in decreasing order.\nAnswer: 5, 1.66, 2\/3, -0.27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 30 + 39229d?\nAnswer: 3922cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*i - 923 = -941 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 + -24. Suppose 0 = -n - j + 625, -2*j + 4 + 0 = h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + -6 + 10 + 2\/(-1). Let w = 8 + u. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 - 6. Let k(r) = 267*r. Let a be k(u). Is 2\/6 + a\/(-27) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -100253703 + 2?\nAnswer: -100253701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -580, -1159, -1738, -2317, -2896, -3475?\n\"Answer: -579*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i + 2*g - 5*g + 3, -3*g + 6 = 4*i. Solve l - 3*x = x + 15, i*l + 3*x = -15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - 72 - (-775 - -644).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 8393 = 11266. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*w**3 + 4*w**3 + 965 - 968 - w + 759*w**2 in the form j*w**2 + c*w**3 + a*w + y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-2))**(-18))**(-18))**(-4) assuming f is positive.\nAnswer: f**2592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 354*a**2*b - 14*a**2 - 1448*a + 35*b wrt b?\nAnswer: 354*a**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -151 + 147. List the prime factors of (747\/12)\/((-3)\/o).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -185\/546 and 53\/777.\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9 + -8 - 6\/14. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 679 - 663. Let o(r) = -5*r - 1. Let c be o(-3). Suppose -i*d + 54 = -c*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1918 less than -1917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -2066701 (base 9) to base 8.\nAnswer: -4162366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -202*z + 211*z = -9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 18751343 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**2 - p + 18. What is m(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/((c\/((c*c\/c**(-3\/4)*c)\/c)*c)\/c)*c**(-2\/19)\/c)\/(c**(1\/4))**15 assuming c is positive.\nAnswer: c**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -42\/1416175 and -62\/395.\nAnswer: 111877825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/20*(-16)\/114?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/9*6\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 14*l**2 - 2*l**3 + 2 - 4*l - 12*l**2 - 7*l**2. Let d(c) = c**3 + c**2 + c. Let r(q) = 3*d(q) + k(q). Let r(f) = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 - -9.98. Let v = s - -0.64. Round v to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 32 and 26.47846.\nAnswer: 58.47846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 take away -747?\nAnswer: 747.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 2*a - 1763 - 3031 = 0, 4812 = 5*x + 4*a. Calculate the lowest common multiple of 368 and x.\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*p + 16*p. What are the prime factors of (294\/(p - -2))\/((-12)\/(-12))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -4*k - 2. Let n be w(-2). Let y = n + -4. Suppose y*d - 12 = d. Is 5 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 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - -120110021021102002?\nAnswer: 120110021021101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be (5 - 2)*(-1)\/(-1). Solve -w + 3*v - 1 = -0*w, l*w - v = -11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 257 = 2*m, 97 = 2*z - 5*m + 10*m. Let c = 88 - 85. Suppose c*a = 46 + 56. Calculate the highest common divisor of a and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 748 + -746. Let j(d) be the second derivative of -s*d**3 + d + 1\/4*d**4 + 0 + 0*d**2. What is the second derivative of j(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 3*f. Let b(m) = -1317729*m. Determine b(t(r)).\nAnswer: -3953187*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1171 + 2?\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 + (-16)\/(-2) + 1. What are the prime factors of 782\/12 - 1\/30*z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.4 (b) 690 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-16)\/10*(-20)\/8. Let r be j*((-39)\/(-12) - 3). Solve 0 = h + 2, r = -2*v - 3*v + 2*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * 9.5\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-11405)\/15196 + 240\/320. Let a = 72405\/425488 + k. What is the common denominator of a and 79\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**3 + d**2 - d - 11. Suppose 0 = 18*f - 29*f. Determine o(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = w - 4*w + 619, 5*w + 3*g - 1043 = 0. Let a = -28 + w. Calculate the greatest common divisor of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2 - 8*w + 3*w**2 - 4*w**2 - 10*w + 2*w.\nAnswer: w*(w - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-110)\/9 - (1 - 176\/144).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + 18*d**2 - 58*d - 20. Give b(14).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4201 and 16.8.\nAnswer: -70576.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 3*o**2 - 18*o**3 - o**2 + 20*o**3 - 5 in the form a + q*o + b*o**3 + u*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the first derivative of 9*w**4\/28 - 17*w**3\/7 + 6*w**2 - 36*w\/7 + 60. Solve u(z) = 0 for z.\nAnswer: 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -0.3 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m + 17. Suppose u - 3 + 0 = 4*o, -30 = 3*u + o. Let g be x(u). Suppose 0 = -2*f - 3*h - 6, -g*f - 3*h = -3*f - 3. Solve 6 + 6 = -f*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:23 AM and 1:28 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -947730, -1895470, -2843210, -3790950?\nAnswer: -4738690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 317445?\nAnswer: 3, 5, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 23 + 47 = -2*n + n + 10, 3*n = f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -b + d - 3, 4 = d. Factor b*u - 8*u**4 + 7*u**4 - 5*u + 6*u**3 - 9*u**2 + u.\nAnswer: -u*(u - 4)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3137*m = 35701 + 102327 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1045 a factor of 2791195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106*u - 36*u + 19*u.\nAnswer: -123*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1820, 4, 1344, 5.\nAnswer: -1820, 4, 5, 1344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/5 + (-10170)\/(-25) + -1. Suppose x + 2 = 2*o + 101, 4*x - 3*o - q = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3046 = 811*p + 3808 + 445 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -10101*p + 10235*p = -3350 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/9 + (-15 - (-5664)\/216). Let j(c) = -11*c**3 - 2*c**2 + 7*c + 5. Let v be j(-4). Calculate the highest common factor of v and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.08 + -0.38. Let f = 80.34 + -80. Let g = f + -8.34. Which is the closest to 1? (a) -0.5 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.75 - 3.3206. Round z to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -y + 37, 8 = -4*y + 8*y. Let v = -7 + u. Let p = 733\/5 - 148. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 175\/3 not equal to 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and -87.94?\nAnswer: 263.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*b + 73*b - 17*b.\nAnswer: 102*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 7 and -0.9.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 49131\/(-721) + 11 + 275\/(-35) + -2\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**2\/o**(-1)*(o*o\/(o*o**(-2\/7)*o)*o)**18 assuming o is positive.\nAnswer: o**(183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 16*m - 9*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 - 24*i**2 + 533*i - 75. What is the hundreds digit of v(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (-27*8\/(-720) + -12 + (-6559)\/(-70)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 - 16*d - 56. Let p be y(-10). Suppose 88 = p*u + 8. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(14)*2*-5)\/(sqrt(700)*-1 - sqrt(7)).\nAnswer: 10*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s + 7. Let j be p(-4). Suppose -44 = -j*t + 61. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 396894 divided by -58\nAnswer: -6843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 284 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 15791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (11 - 987\/98) + (9\/6)\/(-3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 + 10. Find the third derivative of 4*r**2 + 2*r**c - 3*r**2 + 3*r**3 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.28 - 0.08. Suppose 0 = -4*q + 2*q - 16. Let b be 5\/q*-3*(-12)\/9. What is the third smallest value in s, -2\/15, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 21\/(-14)*6\/(-9). Let y = r - -4. Suppose l - 4*a = 18, 3*a + y + 18 = -4*l. What is the biggest value in 2\/15, -0.1, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + -7 + -1 - 3\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 124*q + 272.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**2 + l - 1. Let m be c(-2). Let w be (1 + -1)\/(m\/1). Let j be 49\/(-798)*(38\/7 - 6). Are j and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2670, 2668, 2662, 2652?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4779?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of -2*q**6\/15 - q**5\/5 + 4*q**4\/3 + 8*q**3\/3 - 479*q. Factor v(z).\nAnswer: -4*z*(z - 2)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*f - 76*f - 50 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 35*i**2 + 3*i + 1. Let b be a(-1). Calculate the highest common factor of b and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 0 - (6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - f - 4)*(3*f - 2*f + f) - 470*f - 2*f**2 + 469*f + 3*f**2 + 148.\nAnswer: -f**2 - f + 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 90825, 90924, 91095, 91338, 91653?\nAnswer: 92040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Do 0.12 and 13.838 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (7 + -13)*5\/3. Let s(l) = -l**2 - 11*l - 4. Let g be s(c). Is 614\/8*(10 - g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -339, -347, -359, -375, -395?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -66\/7 in -2, -0.3, 1, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50013 is divided by 291.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 305 - 302. Solve 0 = -i*q + 4*v - 2 - 4, v - 3 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - v**2 + 4*v + 2. Suppose -3*s + 3*q = 3, -2*s + q = -5*s + 9. Suppose s*a = -a - 9. List the prime factors of u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10696132 is divided by 2593.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -1490*o**5 + 5*o**2 + 185*o**5 - 5*o**2 + (0*o + 0*o - o**4)*(-5*o + 0*o + 2*o).\nAnswer: -1302*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 41 + -33. Let m be ((-2)\/3)\/(f\/61476). Let d = -2566 - m. Is d 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 11000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - q = 5. Let i be ((-2)\/3)\/q*-6. Let h(a) = a**3 - 4*a**2 + 4*a + 4. Let t be h(i). Calculate the greatest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -392*s + 6271. What is w(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 41 + -42. Suppose -2*t + 2*g + 2 = 0, 4*t + g + 2*g + 3 = 0. Suppose t = 2*a - 0*a - 3*f + 14, a - 4*f + 12 = 0. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 73\/123 + 3\/41. Let a(n) = -n**3 + 3*n**2 + n. Let c be a(3). Let q be (c\/(-2))\/((-165)\/20). What is the third smallest value in q, w, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 - 14*n - 36. Let v be o(-11). Let k(x) = -x**2 - 5*x - 4. Let s be k(v). Calculate the smallest common multiple of ((-8)\/6)\/(s\/(-63)*3) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**3 - w**2 - 347. Let k(h) = h**2 - 7*h. Let x be k(7). Let s be v(x). Let t = s + 6595\/19. Is 1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1705464 from -3581.8.\nAnswer: -1709045.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -648*f**5\/19 - 13896*f**4\/19 + 8518*f**3\/19 + 12796*f**2\/19 - 7870*f\/19 + 1100\/19 = 0.\nAnswer: -22, -1, 5\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 604 is divided by 151.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3920 + 19974. Is -1\/4 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 188679, 377224, 565491, 753342, 940639?\nAnswer: 1127244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -114*d**4 - 6*d**3 + 0*d**3 + d + 70*d**4 + 4*d**2 + 52*d**4 + 2 to s*d**3 + c*d**2 + n*d**4 + a*d + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -4, 13, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(20)\/(sqrt(10) + sqrt(40)\/sqrt(4)*2))**2 + -3.\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence laia when four letters picked without replacement from {a: 8, z: 2, i: 5, l: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.09 (b) 3 (c) 4 (d) -0.4 (e) -1208 (f) 5 (g) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 0.4, 1\/1489 in increasing order.\nAnswer: -14, 1\/1489, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 - -11. Suppose o + 16 = -10*h + w*h, -8 = -2*o. Let d(n) = -30*n + 31*n - 5 + 3. Give d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 33*q - 824. Give u(16).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 116*b + 165*b - 837*b + 5 - 5 + 219*b.\nAnswer: -337*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes before 8:10 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmmmmmmmmmmmmmmmmx. Give prob of picking 4 m.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 160, 629, 1412, 2509, 3920?\nAnswer: 5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 721 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -r**3\/3 - 9*r**2 - 179*r\/3 - 51 = 0.\nAnswer: -17, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-154)\/(-98) - (0\/(-1) + 2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 28\/(-6)*(-3)\/2. Let i be k\/2 - (-5)\/(-10). Suppose 0 = -c + 4*c - 2*d - 133, i*c = -4*d + 121. Round c to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 644324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1957715 and 1510.\nAnswer: 3915430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 691\/4 - 162. Find the common denominator of f and 7\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 383 divide 123174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (i**3 - 5*i**2 + i**2 - 3*i**2)*(5 + 2 - 3)*(-1 - 2*i + 1).\nAnswer: -8*i**4 + 56*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -5*d + 26. Suppose -2*j = 9 - 3. What is the units digit of 1 + 0 + j + d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and 61.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3849804629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -22 by 13.\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2342012947.\nAnswer: 41, 101, 565567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - 4*v - 4. Let j(x) = -x**3 + 0*x - x - 4*x + 2*x - 3. What is 4*j(w) - 3*u(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 1\/776917?\nAnswer: 1\/776917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19177 - -77171\/4. Let h = 117 - k. Factor 5\/2 - h*x**2 - 5\/4*x.\nAnswer: -5*(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -10, -3, 18, 59, 126?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Expand (-4 + 3 + 3)*(244*l**4 - 91*l**2 + 866*l**4 + 4 + 93*l**2).\nAnswer: 2220*l**4 + 4*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 AM and 6:23 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2004491, -2004968, -2005445, -2005922, -2006399, -2006876?\nAnswer: -2007353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of -5*n**2\/2 + 3*n + 9. Let h be j(3). Let w be (-10)\/h*(-18)\/(-40). Which is greater: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.7 - -0.6. Let n = 9.7 + m. Let u = n + -8. Which is the second smallest value? (a) u (b) 2\/23 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 9:28 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 + r + 2. Let q be t(2). Suppose h - 23 = -3*f - f, -f + 2 = h. Suppose 3 = -g + f. Solve -m - g + 2 = q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 582\/5 + -116. Which is greater: m or 0.03?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6, 24, 52, 90, 138, 196, 264?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 19575 + -255?\nAnswer: 19320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 + 11. Let t(k) = k - 5. Let c be t(b). Let p = -2.2 + 3.2. What is the closest to p in -0.5, c, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/3 + (-22)\/4 + (-21)\/(-3). Sort -395, 3, g in ascending order.\nAnswer: -395, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 341054*c**2*o + 2*c**2 + 3*c*o + c + 6487734*o wrt c.\nAnswer: 682108*c*o + 4*c + 3*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3 - (-32)\/(-10))\/((-8)\/(-8)). Let r = 2881\/6 - 476. Which is bigger: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2.98665 (b) 0.05 (c) -1\/10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0110387522 rounded to six dps?\nAnswer: -0.011039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003137808793 to five dps.\nAnswer: 0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3099 (b) 2\/61 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.054 + 44.74724?\nAnswer: 44.80124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = g + z, g - 3*z = -6*z + 28. Let i(m) = -m**3 + 38*m**2 - 40*m + 131. Let k be i(37). What is the greatest common factor of g and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 6*z - 40. What is m(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (446\/(-6))\/((-228)\/107388)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/27)\/y)**33 assuming y is positive.\nAnswer: y**(-319\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 125*m + 3 = 126*m, -5*k = 3*m + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - 0 - -4) + (12 - 8) + -4. Let r(o) = o**2 - 11*o + 10. Determine r(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand o - 4*o + 4*o + (-4 + 1 + 1)*(7*o - 3*o - 2*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 3*u = -0*u - 51, -4*y + 5*u = -71. Let o be (y - 1 - -1) + 0\/(-4). What is the greatest common divisor of o and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-33\/7)*z*z*(z\/((z*z**(-5\/11))\/z)*z)\/z assuming z is positive.\nAnswer: z**(-97\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - -4 - 12) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -4*k. Let j(s) = 3*s**2 + 3 - 3 - 7*s**2. Give z(j(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/73, -0.1, -4, 5, -9\/28 in ascending order.\nAnswer: -4, -9\/28, -0.1, 2\/73, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (1\/(6\/(-8)))\/((-4)\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2919?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3 + -3*(6 - 7) + 1690. Calculate the highest common divisor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 7680 (b) 0.5 (c) -0.1 (d) -2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3*1*316\/4)\/(33\/11*-1).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -3\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 167393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (-11)\/(-2*1\/58) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*g + g - g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 2*sqrt(11) + -2 - (sqrt(704) + 1 - 2*sqrt(396))**2)*6*-4.\nAnswer: -240*sqrt(11) + 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - ((-2)\/(-4))\/1*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3*g + g - 10)*(0*g - 2*g - 3*g).\nAnswer: 10*g**2 + 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -14*p - 218. What is g(-3)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -2*h**3 + 70027010*h**2 = 0. Calculate h.\nAnswer: 0, 35013505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -17*s**3 - 11*s - 6. Let a(w) be the third derivative of -w**6\/20 - w**4\/6 - w**3\/3 + 3*w**2 + 41*w + 12. Determine -8*a(n) + 3*o(n).\nAnswer: -3*n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 746 - 442. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 713*a - 5. Let m be o(0). What is the third smallest value in m, -2\/5, 0.051?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2 = 4. Let j = -2\/14707 - 40108\/14707. Is r <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2215823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be 20\/(-12) + (240\/18)\/8. Which is bigger: -2\/2365 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 25\/14544, -1, 1 in decreasing order.\nAnswer: 1, 25\/14544, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 + 13. Let t be (-1176)\/(-36) + (-2)\/(-6). Suppose 8*b = t + 79. What is the least common multiple of r and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yiiniiyyiieg. What is prob of picking 1 y and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 2*z**3 - 3*z**2 + 4. Let t be y(2). Let b(j) = -j**3 + 8*j**2 + 4*j - 3. What is the units digit of b(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the second derivative of -w**4\/4 + 83*w. Let l(a) be the third derivative of a**4\/8 - a**2. What is v(l(o))?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -62 - -64. Let b(f) = -6*f + 2. Let a be b(-3). Suppose 0 = j*p - a - 8. Calculate the remainder when 53 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m - c - 1 = 0, -3*c = 76*m - 78*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + (-1)\/(4\/(-16)). Let q be (-22)\/(-6) + 4\/(-6). What is the greatest common divisor of f and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 10*g + 158 = -15*g, 3*g - 90 = -2*d. Let s(o) = 407 - 407 + d*o. Let p(j) = -j. Calculate s(p(q)).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 5*k - 22 = -4, -2*a + 3*k + 15 = 0. Let o be 3 - (-1 + 2 - 0). Let n be o - 5 - (-2)\/1. Put n, a, 1 in decreasing order.\nAnswer: a, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q - 8731*q**2 - q - 2 - 35578*q**2.\nAnswer: -44309*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the second derivative of 91*j + 21\/8*j**5 + 13\/4*j**2 - 3\/5*j**6 + 59\/24*j**4 + 0 - 23\/4*j**3. What is n in w(n) = 0?\nAnswer: -1, 1\/3, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -3414, 4, -7 in decreasing order.\nAnswer: 4, -2, -7, -3414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -17488.7 + 17489. Let v = -0.06 + 3.06. Which is the nearest to v? (a) 1 (b) 3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -7*x**3 - 13*x**2 + 18*x - 11. Let d = -235 + 241. Let b(s) = 6*s**3 + 12*s**2 - 16*s + 11. Let p(y) = d*b(y) + 5*n(y). What is p(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109 a factor of 84156249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o - 7*o + 4 = 0. Let v be (-3 + o - 228\/(-60))*-1. Let a = -0.2 + -0.3. What is the closest to 0.1 in -4, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:54 AM and 3:25 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -2, 1\/10, -2\/19, -5\/6, 4\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 67, 1, 17, 2, -87.\nAnswer: -87, 1, 2, 17, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 4 = -2. Let y = u + 3. Suppose y = h + 2*h - 66. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*p - 5*p**2 + 4*p)*((0*p + 0*p - p)*(30 - 12 + 21) + 3 - 3 - 2*p).\nAnswer: 205*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 212 - 208. Let k be (4\/(2 - 1))\/2. Let d = p - k. Which is the second biggest value? (a) 0.3 (b) d (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the third derivative of 0*m**4 + 0 + 5*m**2 + 0*m + 5\/3*m**3 + 4\/15*m**5. Let h(f) = 3*f**2 + 2. What is -11*h(o) + 2*j(o)?\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 10*n + 13*n - 22 = 0, 0 = h - 3*n + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 73\/35 + -9\/7. Let x = 6172 - 6167. Which is the nearest to l? (a) x (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 79 - 36. Let z = j - 29. Suppose 0 = -2*c + 5*c - 81. What is the remainder when c is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, 44, 1\/3, 0.4, -950.\nAnswer: -950, -5, -1, 1\/3, 0.4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 41*-2585\nAnswer: -105985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 633858 + -15338729744\/24199. Let c = t - 3121661\/120995. Do c and -27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the first derivative of -o**4\/4 - 2*o**3 + 4*o - 1. Let g be t(-6). Suppose 14 = i + g. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 120 - -10?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 172400 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve n**4\/3 - 17*n**3 - 272*n**2\/3 - 148*n - 224\/3 = 0 for n.\nAnswer: -2, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4.7 + 7.3. Let b = 50.6 - v. Let y = 48.000095 - b. Round y to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 2079*8690\nAnswer: 18066510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be 94\/18 + -1 - 14\/63. Suppose c*b + 9 = 17. Solve w = 3*g - 7, -3*g + 29 = -b*g + 5*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1, 5, 1\/59, -3, 3\/67, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p**2 + p**2 - 2*p**4)*(3 + 22 + 2)*(-2 - 3 - 3)*(-5*p + 0 + 0).\nAnswer: -2160*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 751, 754, 757, 760, 763, 766?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the third derivative of -n**8\/2184 + n**7\/195 - n**6\/52 + n**5\/30 - n**4\/39 + n**2 + 4. Let f(x) = 0. What is x?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 + -6.35. Let r = d - -0.3855. Let w = -0.04 + r. Round w to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 636490?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13050?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 6226085181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 24 by 138.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/20 and -182*(-6)\/120 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 19c2877 + 8?\nAnswer: 19c2882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/21 (b) 2 (c) -21 (d) -4\/9 (e) 0.06 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 8:24 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 2*y - 2*b, -y + 3*b + 3 = -1. Let j be y\/12 - (-2)\/(-6). Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 2*m - 4 = 0, 2*u = -4*m. Suppose u*s + s = 30. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 6 = 5*i + 5*j, -2*i - 4*j + 8 = 0. Let a(l) be the second derivative of 1\/3*l**4 + 0*l**2 + i + 6*l + 0*l**3. Let b(r) = 5*r. Give b(a(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 168415 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 2*s**2 - 35*s - 19. Calculate g(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 5743389077 to the power of 1\/5, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + 2)*0*(-1)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:17 PM and 9:45 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that v**4\/4 + 3243*v**3\/2 + 1715573*v**2\/4 + 2503710*v - 2934225 = 0.\nAnswer: -6210, -270, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**4 + 34*u**3 + 305*u**2 + 640*u + 439. Let w(n) = -2*n**3 - n**2 + 1. Let o(b) = 5*m(b) - 35*w(b). Solve o(f) = 0 for f.\nAnswer: -2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g - 3*g + 4*g)*(4*g**2 + 0*g**2 - 3*g**2) + 98*g**2 + 46*g**3 - 98*g**2.\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 7009 = -66*g + 6085 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -27 - 353?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/10 + 66\/10. Let o(k) = -5*k - 20. Let j(v) = 4*v + 19. Let z(p) = 6*j(p) + 5*o(p). What is the units digit of z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58579?\nAnswer: 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 25249 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 5*i + 6 = 2, -5 = 5*r + 3*i. Let l = 0.78 - 0.98. Put 0.2, l, r in ascending order.\nAnswer: r, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 - (-18)\/(-8)) + (-50)\/(-8). What is the tens digit of (6 - 3)*124\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 11101011000 (base 2) to base 7.\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkkm when four letters picked without replacement from {m: 4, d: 1, k: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90*n - 298*n + 30993484 = -25709224. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {r: 7, c: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*b - 8*q + 5*q + 50, -2*b + 20 = -3*q. Calculate the lowest common multiple of b and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -b8 + -9?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 13. Let d(s) = s - 13. Determine 2*d(b) + 3*h(b).\nAnswer: 2*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*(-1 + 24\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 28? (a) -0.1497 (b) -10\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -2392.29592 to the nearest integer.\nAnswer: -2392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from gluoguuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ieqs when four letters picked without replacement from {s: 1, i: 9, o: 1, e: 7, q: 2}?\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2358863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 70*h**2 + 35*h - 4. List the prime factors of q(7).\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 - 1. Suppose h*k + i = 56, -21 = -k - 3*i + 7. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the second derivative of -8*q**2 - 4*q**3 - 1\/10*q**5 + 2*q + 0 - q**4. Determine j so that i(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**2 + 12 - 3 + 5*y + 3*y. Let w be i(-8). Suppose 0 = -5*r - s + 25, 0*r + 3*s = -2*r + 23. Put w, 3, r in decreasing order.\nAnswer: w, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhzpquhz. What is prob of picking 1 q, 1 z, and 1 p?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 13 divided by -32900557?\nAnswer: -13\/32900557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-2 + -1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -2*j**3 - j**2 + 14*j + 26. Let o be d(3). Solve -s - 3 = s - y, -3*s = o*y - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the third derivative of 59*y**7\/210 + y**6\/10 + 413*y**5\/30 - 46*y**2 - 14*y. What is the third derivative of t(l) wrt l?\nAnswer: 1416*l + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1\/4, -5 in decreasing order.\nAnswer: 4, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 201 + 2120222112?\nAnswer: 2121000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 122651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1918181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11593, 46536, 104775, 186310, 291141, 419268?\nAnswer: 570691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 726, 35 in decreasing order.\nAnswer: 726, 35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((0\/(-2))\/(-1))\/3. Let l(v) = -v**3 + 6*v**2 + 8*v - 3. Let d be l(7). Let j = 6 - d. Solve k = j*u - 3 + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2 + 1 - 0) + 4. Suppose r*x - 2*x = -6. Let i(u) = -u**2 - 6*u + 5. What is the units digit of i(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 2\/31 (b) 105337 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 8 (b) -1\/7 (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**8\/o**(-21))\/(o\/(o\/o**(2\/21))*o)**(34\/3) assuming o is positive.\nAnswer: o**(1045\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 52 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggss when four letters picked without replacement from {g: 2, s: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**3 + y**2 + 31*y - 2. Calculate a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -24, -63, -132, -243, -408, -639?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 450652.6 milligrams in micrograms?\nAnswer: 450652600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26, -45, -82, -143, -234, -361, -530, -747?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.448804ml to litres.\nAnswer: 0.006448804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, e: 1, p: 1, c: 1, n: 1}. Give prob of picking 1 c, 1 p, 1 e, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 AM and 7:59 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 16408 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 4*b - 8792, -35*b + 39*b = 2*d + 8782. Does 109 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -24, 1\/4, 1\/7, 2\/19, 1\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1325503793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*t = 5*i - 230, 3*t + 23 + 52 = 2*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 505847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 2 - 45*v**2 + 55*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 873967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 226*f - 57*f = -257*f + 3834 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -89, -161, -149, -11, 295, 811?\n\"Answer: 7*y**3 - 121*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -293*y + 1243. Is t(-11) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w + 26. Calculate j(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7.874069 rounded to 2 decimal places?\nAnswer: 7.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 62 by 1.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q. Suppose 89*z = -3*r + 181, r + 63*z - 61*z - 5 = 0. Let d(k) = 17*k - k + 5*k. Give r*d(c) + 15*f(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 15220 (base 7) to base 13\nAnswer: 1c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 126611453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*w + 3*b = 17*w - 12, 0 = 2*w + b + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 5*p**2 + p + 1. Let d(m) = -m**3 - 72*m**2 + 752*m + 5. Let j(f) = -2*d(f) + 10*i(f). What is the second derivative of j(n) wrt n?\nAnswer: 12*n + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -4*j**3 - 144*j**2 - 136*j + 115. Calculate h(-35).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 20*a - 15*a. Suppose 4*x - 3950803 = 3*s + 1638205, -s + a*x = 1863006. Round s to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 + 28*j**2 + 57*j + 18. Let s(b) = b**3 - b**2 - b + 1. Let m(w) = k(w) + 2*s(w). List the prime factors of m(-23).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/(4 + -1) + (-70)\/(-5). Let y(q) = q**2 - 18*q - 28. Let k be y(u). Let r = 19 - k. Calculate the remainder when r is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkgrkkrgkrkrkrrgkg. What is prob of sequence kkk?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-4)\/(-15))\/((-6)\/5). Let r = -9768 + 9770. What is the fourth biggest value in j, -1\/5, 0, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (2 - (-2 - -4))) + 0 + (368 - 420)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -1144075760 to the nearest 100000.\nAnswer: -1144100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -11*s**3 + 6*s**2 + 3*s - 7. Let p(a) = -23*a**3 + 10*a**2 + 5*a - 14. What is -6*p(j) + 10*q(j)?\nAnswer: 28*j**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 138 + 53 = 2*h, h - q = -35. Let x be 2\/(-20) + (-24)\/h. What is u in 1\/2*u**4 - x*u + 1\/2 - u**2 - 1\/2*u**5 + u**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5741, 22975, 51703, 91925, 143641?\n\"Answer: 5747*h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 66327349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(28)*2 + ((sqrt(28)\/sqrt(2))\/sqrt(2))**2 + (sqrt(28))**2 + 1.\nAnswer: -16*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -7, -1 in increasing order.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -129 - 218 + 45 - 9*o.\nAnswer: -9*o - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 5 + 5)*(1 - 1 + 1)*(15*k - 9*k - 7*k) to the form m + y*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 12, z: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3486975 or -0.04?\nAnswer: -3486975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*d**2 - 2*d**2 + 2*d**2 - 11 - 7*d**2 + 11 + (19 - 39 + 26)*(2*d**2 + 0*d + 0*d) - 3*d**2 + d**2 + d**2 + (5 + 6*d**2 - 2 - 4*d**2)*(-4 + 0 + 2).\nAnswer: 3*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -1282404 - 3.\nAnswer: -1282407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18637, -74675, -168085, -298867, -467021, -672547?\nAnswer: -915445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 27965562 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 52 - 56.1. Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -4*l**2. Let g(c) be the first derivative of c**3\/3 - c**2 + 2*c + 1. Let j be g(2). Let b(r) = -5 + 5 + j*r**2. Determine k(b(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 68718 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -2*g**2 - 3*g - 5. Determine w(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*o - 15*o + 8*o - o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5448626 and -4?\nAnswer: -2.1794504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*g + 12 - 2. Let j be (-108)\/26 - (-20)\/130. Let n be (-5)\/2*j\/14. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 + -245*1\/1. Let y = -102 - b. List the prime factors of y.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.5873575 to two dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 45*c**2. Let l(t) be the third derivative of -t**4\/3 - 259*t**2. Determine l(k(w)).\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 15516 divided by 36?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 449\/322?\nAnswer: 449\/322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -27034.01 + 27119. What is f rounded to one decimal place?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = -9*z + 4*z + 30, 0 = 4*z + 5*y - 37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.22 - 0.15. Let h = -0.17 + y. Which is smaller: 1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 12*r**3 - 3494*r**2 - 51*r - 17. Let f(k) = 2*k**3 - 582*k**2 - 9*k - 3. Let u(y) = 6*d(y) - 34*f(y). Factor u(h).\nAnswer: 4*h**2*(h - 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the first derivative of v**3\/3 - 7*v**2\/2 + 6*v - 10. Let r = 33 - 33. Suppose r = s - 6*s + 30. What is w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 121 + -57. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -425.999999457 - -426. Round g to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 400400 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.038? (a) -2\/21 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/1728 and -3\/12352.\nAnswer: 333504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -15*l**2 + 10*l + 6. Let w(y) = -29*y**2 + 21*y + 11. Let v(c) = 11*j(c) - 6*w(c). Find the second derivative of v(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 4 = -o. Let g(x) = -3*x - 3*x - o - 3*x + 0*x + 6*x. Determine g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -5*s - 0*w - 110, -5*s - 5*w = 60. Is s != -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 51653295 and 1998.\nAnswer: 103306590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 157754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(4\/2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*h**2 + 8*h**2 - 2*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 2*c**3 - 20*c**2 + c - 5. Calculate n(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 2*v**2 - 6*v + 4. What is c(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xyxx. Give prob of sequence xyx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 5)*(-2*o**5 + 0*o**5 + o**5) + 2*o**5 + 2*o**3 - 2*o**3 + o**3 - o**3 + 4*o**5 + 2*o**5 + 0*o**5 + 2*o**5 + 6*o**5 - 3*o**5 - o**5.\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -117, -209, -291, -357, -401, -417, -399, -341?\n\"Answer: f**3 - f**2 - 96*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1710 and 55?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 13498501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 478*r + 7644. Let z be l(-16). Let f = -11 + 8. Let s = -2 - f. Which is the fourth smallest value? (a) z (b) s (c) 2\/9 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the first derivative of x**3 - 7*x - 15\/2*x**2 + 5. What are the prime factors of i(7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 13, z: 1, r: 1}. Give prob of picking 1 z and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**4*b)\/(b*b**(-7)\/b))\/(b**(-3\/4))**(-27\/4) assuming b is positive.\nAnswer: b**(127\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4766 + -4768. What is the third biggest value in 1\/3, 389, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 3*g + 24 = -22, -5*g = c - 3. Suppose -c*w + 555 = 2*w. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 4*i = 18, -25 - 11 = -4*b - 4*i. Solve b + 9 = 5*p, a - 14 = -4*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - u = 0. Sort u, 3, 2\/9, 2\/5 in ascending order.\nAnswer: u, 2\/9, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 4. Let b = -1.9697 + 0.0277. Let m = b + g. What is m rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 0.16, 0.2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1132205425 - -2?\nAnswer: -1132205423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14.82 - 10.99. Is v > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 3*h**3 - 38*h**2 + 8*h + 93. What is u(12)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 + 6*m - 1. Let h(w) = 12*w - 2. What is 5*b(x) - 3*h(x)?\nAnswer: 5*x**3 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 11:58 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 3*q + 11. Let f(b) = b - 46 + 95 - 45. Determine 17*f(j) - 6*o(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -88*w - 3111. What is the remainder when v(-37) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 24*b - 31*b + 1 + 42*b.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -73.71, -4\/7, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 168*v**3 + v + 2. Let a be h(-1). Let r = 195 + a. What is the greatest common divisor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 + 3\/(6\/4). Suppose 0 = -38*z + 46*z - 32. Find the second derivative of -z*y + y + 7*y + 3*y**q wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 13\/((-9269)\/(-62))*1\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 2*t - 23 = 0, -t + 10 - 37 = -4*p. Let f(x) = -x**2 + 13*x - 40. What is the remainder when p is divided by f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the first derivative of -7*z**3\/6 - z**2 - 25*z - 25. Let n(t) be the first derivative of d(t). Give n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the third derivative of 0*x + 0*x**4 + 2\/3*x**3 - 3*x**2 + 0 - 23\/60*x**5. Differentiate k(z) with respect to z.\nAnswer: -46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*o**2 + o - o + 4*o**2 to the form z*o**2 + v + r*o and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the first derivative of v**2\/2 - 6*v - 4. Let a be q(8). Differentiate -a*i + 3*i - i + 5*i + 2 wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzgiigjfgggzgzfzz. Give prob of sequence ziz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + -4)\/(39\/13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 AM and 2:42 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((1*sqrt(275) + -2)*5 + 3 + 6*((sqrt(275) - (-2 + sqrt(275))) + sqrt(275))))**2.\nAnswer: 13750*sqrt(11) + 832500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 + 5. What is the remainder when 18 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 - 6 = -6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -3*z + 15*z - 82 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*b = -416 + 736 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c - 34 = -11*c + 2*y, 4*y - 12 = 0. What is the remainder when 116 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2*1)\/(138488\/34636 - (6 - 2)) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 2*w + 5 + 29 = 0, -5 = -w. Let z(i) = -i**2 - i + 1. Let t be z(-3). Let j = d + t. Solve j*l = l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 931 less than or equal to 931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -0.3, -2\/11, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -12863631180 rounded to the nearest one million?\nAnswer: -12864000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {t: 2, s: 1, a: 3, l: 1, x: 2, o: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1429\/60, 0.0148, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*d - 381 + 228 = 292 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/484 and -67\/2772.\nAnswer: 30492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*x - 45*x = 354. Let c = -48 - x. Solve 4*y + 27 = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 28 - 2. Let g = -24 + 108. Suppose 3*w = 6*w - g. Calculate the remainder when w is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 - 6 + 3)*((-f - 3 + 3)*(-1 + 0 - 5)*(2 - 1 + 0) + 4*f + 2 - 2) as y*f + r and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**4\/7 + 2*n**3\/7 - 10*n**2\/7 + 6*n\/7.\nAnswer: 2*n*(n - 1)**2*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 3:16 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 63, -1\/7, -6003, -2 in ascending order.\nAnswer: -6003, -2, -1\/7, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1547247, 3094479, 4641711, 6188943?\n\"Answer: 1547232*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 399409453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -18, -86, -200, -360, -566, -818?\n\"Answer: -23*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -380*o**4*r**3 - o**3*r**3 - 4*o**3*r + 137*o**2*r**3 - 3*o*r**3 wrt o.\nAnswer: -9120*o*r**3 - 6*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 - (-6)\/21 - (-10012)\/(-7). Round v to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 6229785821?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 777782 is divided by 952.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + g = 3, -5*p + g + 2*g = 9. Calculate the common denominator of p + ((-204)\/(-16))\/(-1) and 1\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -84*b**4 + 2*b**2 - 79*b?\nAnswer: -2016*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + -3)\/(-25 + 28\/((-448)\/(-648))).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(4840))\/(sqrt(8) + (sqrt(8) - ((-2*sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88) - sqrt(88))\/sqrt(11))).\nAnswer: 11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 6, h: 12}. Give prob of picking 2 o and 1 h.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 - -10. Let s(v) be the first derivative of -1\/2*v**2 - 1\/6*v**6 + 0*v**3 + 2 + 0*v + 0*v**4 + 0*v**z. What is the second derivative of s(p) wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhrlrhhll. What is prob of picking 1 l and 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 4 = q - 19, -4*q = -3*f - 27. Let m be (-3)\/q - (-17)\/(-3). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-57917*n + 18038*n + 16579*n)*(-2*n**3 + 0*n**3 + 4*n**3) in the form d*n**4 + z*n**3 + g + c*n**2 + s*n and give d.\nAnswer: -46600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 8*u. Let f(t) = 480*t**2. Give b(f(g)).\nAnswer: 3840*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 40, -0.11, -52?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 91848.863 times -3?\nAnswer: -275546.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 468266 by -1.\nAnswer: -468266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 12*t + 29. Give p(7).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 11497532 divided by 5748766\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 9:45 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12249, -24455, -36661?\nAnswer: -48867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = g. Let u be -4 - (12\/(-3) - g). Solve 8 = -u*x + 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*t - 9*t + 815 = 139*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -85 + 89. Calculate the lowest common multiple of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*f + 5*m + 11, m + 24 = -2*f + 27 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1575 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 8*l = 24. What is the remainder when 21 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*a*j**2 + 26*a*j + 175*a - 63471*j**4 - j - 2 wrt j?\nAnswer: 4*a - 761652*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -423647, -423650, -423653, -423656, -423659?\n\"Answer: -3*m - 423644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -19*a - 31*a - 3 + 3 in the form u + j*a and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -38206.82633 + -2704.\nAnswer: -40910.82633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = -3*r + 132. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -2608*l + 5. Let q(z) = -5229*z + 9. Calculate -3*q(r) + 5*t(r).\nAnswer: 2647*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r + 24 - 9. Let g be ((-18)\/(-15))\/(r\/10). Solve -5*d - 4*j - 6 = 0, d + j - g = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 675 and 300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3345137 (base 8) in base 11?\nAnswer: 568024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of -m**4\/24 - 25*m**2. Give n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 30 - -5. Let v = h - 37. Let s be 3\/((-28)\/(-16) - v\/(-8)). What is the biggest value in s, 4, 0.3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**7\/b**(-17\/2)*((((b\/(b**(-15\/7)\/b))\/b*b)\/b)\/b)\/b**(2\/9))**7 assuming b is positive.\nAnswer: b**(2195\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(4\/5)*a\/a**(-4\/9))\/(a**(1\/6)*a**(-8)))\/(a**(-7)\/((a*(a\/(a**(4\/3)\/a)*a*a)\/a)\/a*a))**21 assuming a is positive.\nAnswer: a**(19267\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - 3 - 3) + (3 - (25 + 4))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2*-10*5\/(-20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 4*u + 61 = -2*u, 5*g - 2*u = 69. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d - 4*d + 3*d)*(65 - 3 + 28)*(-2*d + 0*d + 3*d).\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**2 - j**2 + 6*j**2)*((j**2 - j**2 + 2*j**3)*(0 + 2 + 5) + 4 + 3*j**3 - 3 - j**3).\nAnswer: 96*j**5 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g, 1 h, and 1 z when four letters picked without replacement from {z: 7, h: 3, g: 2}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2980595, 2980536, 2980477, 2980418, 2980359?\n\"Answer: -59*b + 2980654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -69 - 129. Let x = f + 230. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2.3 in -4, -1.5, 2, 6\/7?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes after 8:58 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -6\/4475 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2112)*5 - (sqrt(363)\/(sqrt(66)\/sqrt(6)) + sqrt(33) - sqrt(33)))\/(sqrt(176) + (sqrt(176)*2 + sqrt(176) + sqrt(176))*-2 + 6*-2*sqrt(176)).\nAnswer: -39*sqrt(3)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -74*o**3 - 69*o**3 + 145*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 155 - 169. What is the remainder when (3 + -1)*(0 - 2177\/g) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2501 * 1\nAnswer: 2501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 9:41 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 6*p**2 - 263*p - 1524. Let l be z(-6). Calculate the greatest common divisor of l and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (10\/6)\/(30\/(-90)). Put -2, 66, u in ascending order.\nAnswer: u, -2, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:54 AM and 1:12 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (((-1)\/2)\/(305\/1830))\/(6\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -16161 * -18.2\nAnswer: 294130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**3 + f**2. Let p(v) = 6*v**3 - 2*v**2. What is -p(n) - 2*z(n)?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 15*f**2 + 4*f. Give a(2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-6000)\/(-22000)*1958\/(-6)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 7*a - 891 = 4*a, 2*r = a + 603. Suppose 3*d - 62 = -n + 174, 4*d - r = -5*n. Calculate the remainder when d is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6144 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*u - 12 = -70*u. Solve -u*n = 3*q + 2*q + 25, 4*q + 4*n + 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 3 = -4*c, -173*c + 4*l = -168*c - 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1*4*(-9)\/12. Solve 0*c - 3*c - 3 = -5*f, r*f + 5 = -5*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*d - 19*d - 255 = 11698*n - 11696*n, 0 = -5*n + d - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -25 + 40 - 26 + 21*l. Let d(q) = -4*q + 2. What is -33*d(p) - 6*v(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 206 - 69. Let w = v - 1783\/13. Let f = -28286\/35 + 5660\/7. Put -1, w, f in ascending order.\nAnswer: -1, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i + 11*i - i + (2*i + 3*i - 3*i)*(1 + 2 + 0)*(-2 + 2 + 1).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(5 + 1 + sqrt(108))**2 - (-3*(sqrt(363) + -1 + -3))**2.\nAnswer: -3987 + 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 18489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xdwrwddxrdrxwwwrw. Give prob of sequence xdww.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 296*s**4 - 353*s wrt s?\nAnswer: 3552*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 33*a**2 - 64 - 242 + 23*a - 32*a**2. Let q be v(10). What is the greatest common divisor of q and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/8, 7, -2, 9, 0 in descending order.\nAnswer: 9, 7, 1\/8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -63225, -63230, -63237, -63246, -63257, -63270, -63285?\nAnswer: -63302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -42041 or -42047?\nAnswer: -42041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 79*b - 70. List the prime factors of r(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3918 = -4*c - 2*c. Let z = -425 - c. Is 48 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 272 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3391 - 1933 + 10852 - r.\nAnswer: -r + 5528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -28 + 32. Let w(g) = 4*g + 35. Let p be w(-9). Let u be ((-5)\/(-15) + p)*18\/(-4). Solve 0 = -i*j + u*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 PM and 1:32 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -136 + 78. Let g = y + 49. Which is the nearest to 0? (a) g (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*y**2 + 2*y**2 + 0*y**2)*(445*y + 423*y - 863*y - 77 + (0 + 3 - 2)*(0*y - 5*y + 4*y) - 4*y - 2*y + y) to x*y**2 + h*y + m*y**3 + n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1032173741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 7:09 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o + 25 = 12*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/i**15*i*i**(-3\/10))**(-1))**(-44))**(-27\/5) assuming i is positive.\nAnswer: i**(79002\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -11*r + 1. Is c(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = p - 4*k + 21, 2*p + 2*p + 3*k - 11 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 8:28 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 6 - 6 = 0. Let g be 2*(-3)\/6*s. What is the units digit of g*6\/(-9) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89539067 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -97\/4 and (34\/(-51))\/(752\/(-744)).\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4464 is divided by 1486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.26 and 2913652?\nAnswer: -3671201.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1.50315 rounded to 3 dps?\nAnswer: 1.503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -43, -179, -417, -769, -1247, -1863, -2629?\n\"Answer: -2*a**3 - 39*a**2 - 5*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 2468 divide 12850561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 PM and 3:46 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i + 5. Let m be b(-6). What are the prime factors of (4\/(-16))\/(m\/92)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 246, 2055, 5082, 9327?\nAnswer: 14790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q + 0*q - 2*q)*(35 + 4 + 3).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4948 - 21 - (-8)\/6*6?\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7770044549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-45)\/(-35)*-1)\/(18\/(-63)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 155, 369, 619, 899, 1203, 1525?\nAnswer: 1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 6*f - 17. Let x(o) = o - 1. Let b(p) = j(p) - 4*x(p). Let l be b(5). Let t(g) = -3*g + 1. Let q be t(2). Sort l, 1, q.\nAnswer: q, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5199 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(700) + sqrt(28) + -2 - -6*(sqrt(7) - (-4 + 3*sqrt(7))))*-2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 63273 - 6?\nAnswer: 6326d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 3*r - 3*r - 12*r**2 - 2*r**4 + 16*r**2 - 2 as o + w*r + f*r**3 + g*r**2 + n*r**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 u when three letters picked without replacement from {o: 1, c: 6, x: 1, y: 1, u: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12887, -25765, -38643, -51521, -64399, -77277?\nAnswer: -90155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 42753, 43378, 44001, 44622?\nAnswer: 45241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000459371 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2 + -4 - ((14 - 2) + -12 + 10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5*(-2 - ((3 - 3) + 5)). Let c be 2\/(-7) - 10\/s*8. Let i(w) = 2*w + 1. Let f(z) = 6*z + 1 - 3*z + 1 - 2*z**2 + 3*z**2. Calculate c*f(n) - 3*i(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.08636478 + 0.085668. Round h to 5 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23835697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**4 - 5618*v**3 + 2353774*v**2 - 223249662*v - 1425444732 = 0. Calculate v.\nAnswer: -3189, -6, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 5*q - 8*q. Suppose q*x = 15, 5*b - 3*b + 5*x - 165 = 0. What is the greatest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14976411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1251.1207363 - -1250.3527. Let r = v - -0.528038. Let n = r + 0.24. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.39 (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/50 and 29\/635.\nAnswer: 6350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1481689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -489 (c) -2858\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -19598, -78388, -176372, -313550, -489922?\n\"Answer: -19597*v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -1019*s**2. Let l(d) = 32*d. Give l(h(o)).\nAnswer: -32608*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (9 - 5) + (-3 - (1 - 6)). Let j(y) = 7 - 2*y - 4*y + 3*y. What is j(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - h + 2917 = 0, -f + 1113 + 362 = -5*h. Suppose 4*c = -c + f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 329.8 + -330. Put i, 1, -1, -8\/9 in ascending order.\nAnswer: -1, -8\/9, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 112 (base 3) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -618*g. Let x(y) = 18*y + 48. Let a(p) = 13*p + 32. Let w(t) = 3*a(t) - 2*x(t). Calculate z(w(k)).\nAnswer: -1854*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/((-245)\/30))\/3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 2*u + 8*u - 7*u - 4. Let h be j(3). Which is the closest to -2? (a) -1\/6 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*w + 4*b = 6*w + 30, 24 = 4*w + 3*b. Suppose 4*f - q - w = -4*q, -3*q - 6 = 0. What are the prime factors of (-3810)\/(-18) - 2\/f?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/(-14))\/(12*(-6)\/(-42))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/4 in 3\/2, 3, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3212*g**3*p - g**3 + 2*g**2*p - 2*g**2 - 2*g*p + 29*g wrt g.\nAnswer: 19272*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x**2 + 6*x + 26. Give h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/2*(-10)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 704 (c) 38 (d) 1\/4 (e) 2\/7 (f) -4 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 22 + 10 = 2*p, -4*a - p = -64. Suppose -8*d + 4*d = -68. Let h = d - 9. What is the lowest common multiple of a and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -684*k - 500 = -734*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5616 - 1214 = -31*z. Let t = z + 384. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 541942271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -11784*o + 270. Let z(x) = 6*x + 9. Determine -r(a) + 30*z(a).\nAnswer: 11964*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 5) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 2*c - 4)*(-1 + 1 - 1) + (-1 - 2 + 1)*(4 + 2*c - 4) - 3*c + 0*c - c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001165 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**0)**(15\/2))**(-20\/3)*(v**3\/(v\/(v*v**(2\/9))))\/((v\/v**0)\/((v*v*(v\/v**(-2\/11))\/v)\/v)) assuming v is positive.\nAnswer: v**(-4613\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(2000) - sqrt(2000))\/sqrt(4) + 0 + 5 + (sqrt(5) + -1)**2.\nAnswer: -72*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f\/f**(-8))*f**(-35) assuming f is positive.\nAnswer: f**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccccfcfcfc. What is prob of picking 1 c and 1 f?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 10\/(-14)*((-30)\/(-300))\/((-1)\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 9:51 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 + 6*b**2 + b - 2. Let t = -16 - 7. Let s = t + 29. Let a be (-8)\/s*-5 - 2\/3. What is y(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -23801, -23783, -23757, -23723, -23681, -23631, -23573?\n\"Answer: 4*s**2 + 6*s - 23811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 7 + 3 - 16 - j + 8. Let v(t) = -t + 2. Calculate 3*c(b) - 4*v(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -193, -259, -323, -385?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 5413, 10811, 16185, 21517, 26789?\n\"Answer: -3*y**3 + 6*y**2 + 5401*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 69363286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.5 - -3.5. Put 0.2, -0.4, u in descending order.\nAnswer: u, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10343 - 10347. Which is the nearest to 0.2? (a) 5.28 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a*a*a\/a**(-3))**(-15\/8)*(a**(-1\/2)*a)**(32\/3) assuming a is positive.\nAnswer: a**(-187\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = 3*h - 3, 0*r + 3*h + 7 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 23*x + 273. Let u be v(-11). What is the greatest common factor of 260 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*y**3 + 2*y**3 - 13*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23128941, 46257872, 69386803, 92515734, 115644665, 138773596?\nAnswer: 161902527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-32)\/(-24)*3)\/(42\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 372 + -375. Let y be 5\/(-2)*(-4)\/2. Which is the third smallest value? (a) y (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 80331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p\/((p\/((p\/p**(2\/15))\/p*p))\/p))*p**8*((((p\/p**(-2\/3))\/p)\/p)\/p)\/(p*p**(1\/6)))\/(((p**(3\/4)\/p)\/p)\/(p\/p**0))**(-47) assuming p is positive.\nAnswer: p**(-6007\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 118200*g**3 - 210014*g.\nAnswer: 709200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 3*r + 2*r - 299, z = -3*r + 105. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*j**3 - 3*j**3 + j**4 + (-2*j - 1 + 1)*(-j**3 + 0*j**3 - j**3) + 5*j**4 - 5*j**4 + j**4 + 2052*j**4 + 2107*j**4 - 3122*j**4.\nAnswer: 1043*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i + 3*n = -72, -2*i = -298*n + 295*n - 72 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 take away 0.21483926141?\nAnswer: 3.78516073859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 42613714 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: 0.010554 + 792.04\nAnswer: 792.050554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*a - 3*t = -4*a + 23, a - 3*t - 17 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6638.0028472 - -6638. Round f to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 496935?\nAnswer: 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9581.\nAnswer: 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 530390.\nAnswer: 2, 5, 7, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 41*p**2 + 0*p + 0*p - 40*p**2. Let j(s) = -5*s. Give j(y(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6803\/3 + -2269. Which is the closest to -2\/5? (a) -19 (b) 0 (c) 1\/8 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19*u + 42*u - 6*u**2 + 0 + 0 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 2)*(-n**3 - 3 + 3) - 1 + n - 6*n**3 + 62*n**2 + 9*n**3 - 59*n**2.\nAnswer: n**3 + 3*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 96430604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 979229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 12513305 (base 7) to base 16\nAnswer: 117e5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from euakjouj. What is prob of sequence kuu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 316416834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 254705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 15*j - 8. Calculate s(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**3 - h**2 + 7*h. Let i(k) be the third derivative of -k**6\/60 + k**5\/60 - k**4\/4 - 3*k**2. Give 7*i(a) + 6*w(a).\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2488*x**2 + 4679*x wrt x?\nAnswer: 4976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 532 = 18*z. Are z and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - 4*g. Let j = g + 3. Suppose 0*y = 4*y + j*n - 43, 5*y + 4*n - 54 = 0. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 4, d: 4, t: 6}. Give prob of sequence dt.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 169 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-8) + (-45)\/(-12). Suppose h*y - 18 = -2. Solve -5*j + 3*b - 7 = 0, -y*j + 3*b - 6 = b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3066 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 429 = -5*v + 412, -11*v + 4*h + 58 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -18 (b) -4 (c) 36\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18 - 3. Let y be 10\/(-4)*42\/h. Let u(s) = -2*s**3 - 10*s**2 + s - 4. Is u(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 246 is divided by 59.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 65*t**2 - 309*t + 6. What is the tens digit of h(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-2\/47)*p*p*p**(12\/11))**34 assuming p is positive.\nAnswer: p**(53584\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.3, 3.8, -0.4.\nAnswer: -2, -0.4, -0.3, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes before 2:37 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -23 + 27. Solve 3*i - i = -x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 6492, 12991, 19488, 25983, 32476, 38967, 45456?\n\"Answer: -w**2 + 6502*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -31277740*g**4 + 2*g**3 + 32*g**2 + 3*g + 260827 wrt g.\nAnswer: -750665760*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, 5, 233, 0 in increasing order.\nAnswer: 0, 3, 4, 5, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) -64\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*m, -2*m - 3133 = -3*y + 775. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 8266432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, -5, -2.6, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-a + 5*a - 2*a)*(7 - 6 + 2*a - 2)*(144 - 278 + 73)*(-2 + 3 + 0).\nAnswer: -244*a**2 + 122*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes after 7:55 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxxrdxxxrxxxx. Give prob of sequence dr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 33466.06 weeks in nanoseconds?\nAnswer: 20240273088000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -100669, -201343, -302017, -402691?\n\"Answer: -100674*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 + -1411?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -3295610 divided by 106310?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -131 (b) -2\/7 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 5*s - 12 = 0. Let n be 0\/(s + 10\/2). Let 0 + 1\/3*x**2 + n*x**3 - 1\/3*x**4 + 0*x = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.4 + 3.05. Let u = d + 1.35. What is the closest to 2\/13 in 5, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the third derivative of i**5\/30 - i**4\/4 + i**3\/3 + 1016*i**2. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 - 2. Let m = y + 5.7. Which is the second smallest value? (a) -1 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8301, -8224, -8147, -8070, -7993, -7916?\nAnswer: -7839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 128*t + 9*t**3 - 615*t**4 - 640*t**2 + 571*t**4 - 353*t**3 = 0.\nAnswer: -4, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 233425\/65793 - 780\/241. Find the common denominator of 39\/28 and m.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -32.32494 - -0.36394. Let b = 14 + -46. Let v = b - l. What is v rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25*i**4*u + 8*i**3*u**2 + i**2*u + 2*i**2 - 56*i*u**2 wrt i?\nAnswer: 600*i*u + 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 299, 188, 77, -34, -145, -256?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1638 = 2*b - 0*k + 4*k, 0 = -b + 2*k + 807. Suppose -4*h + 2220 = -10*h. Let d = h + b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 5\/2, -10, 79, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 - 4*q**2 + 9*q - 16. Suppose -17 = 2*o - 5*i + 19, -2*o - i = 12. Let s be k(o). Calculate the highest common factor of 126 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rre when three letters picked without replacement from eereeererreere?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 3) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 304783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 215 + 109 = -54*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 4*q = -12, -2*q + 9 = q. Let h = u + -5. Calculate the common denominator of 31\/5 and 2\/(80\/462) - h\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 477 + -475.12. Let d = -1.88 + w. What is the nearest to d in -0.4, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4573 and -40922.\nAnswer: -187136306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - r = 220, -g + r = -0*g - 48. Calculate the remainder when g is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - y = 3*m + 4, -3 = -2*m - 5*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 12\/9*1\/(6\/27). Suppose 4*m + 0*c + 3*c - 6 = 0, m = 3*c - z. What is the second biggest value in 18, m, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -52*x + 49*x + 3. Suppose n - 13 = -2*v + x, -12 = -4*v. Let w be (3 - 12\/n)*2. Solve 4*j - 5*s + 3 = 0, -w*j = 3*s - 7*s + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14\/25 - 283\/550. Let n = -3274 - -144091\/44. Let d = n - h. Are d and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 152\/(-6)*10\/16 and 3 + (321\/24)\/((-9)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 375 and 9465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m - 2*m + 3*z = -50, -2*z = -4. Let x be (1 + -1)*(-7)\/m. Suppose 3*i = -x*i + 12. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*z - 1217 = 343*z + 6933 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 8 + 10 = 5*w, 0 = -2*w - 2*i + 6. Suppose 0 = p - 4*c + 55 - 181, 518 = w*p - 2*c. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 3:48 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 18 + -744576?\nAnswer: -74455b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83966*k**3 - 41969*k**3 - 41939*k**3.\nAnswer: 58*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -195 + -4?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (((-4)\/28)\/((-1)\/(-2)))\/((-40)\/56)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 13 - (19 - 7 - 10 - (-1 + 11))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1386198359, -1386198360, -1386198361?\n\"Answer: -k - 1386198358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/(r*r\/r**3)*r**(-1\/17)\/r assuming r is positive.\nAnswer: r**(16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qzzzyxzyqazy. Give prob of sequence zayy.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42582?\nAnswer: 2, 3, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/11 and -19\/7925.\nAnswer: 87175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*l*n*u + 14*l*n + 3*l + 1552*n*u + 12*n - 1 with respect to u.\nAnswer: 8*l*n + 1552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from edppdppzepppwwppw. Give prob of sequence zedd.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*7\/(-1092))\/(73\/584).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the third derivative of t**6\/210 - 43*t**5\/105 - 71*t**4\/21 + 368*t**3\/21 + 40*t**2 + 5*t. Factor s(v).\nAnswer: 4*(v - 46)*(v - 1)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -6*l + 8*l - 30, -2*o + 9 = -l. Suppose 3*c - 10 = 2. Suppose c*k + 2916 = z, -o*k + 3*k = 12. Round z to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 39*g - 27*g + 90*g**2 - 49*g - g**3 - 11*g wrt g?\nAnswer: -6*g + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.65565 times 0.205?\nAnswer: 1.77440825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14929\/21 + 711. What is the fourth smallest value in -1, -3, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21840772 at most as big as 174726165\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times -1843538?\nAnswer: -5530614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 111\/4121600 and 131\/1324800.\nAnswer: 37094400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1147 + 744. Let k = j + 527. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**3 - 41*t**2 + 40*t - 89. Let w = -10742 - -10700. Determine h(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -0.015, 0.3, -4 in ascending order.\nAnswer: -5, -4, -0.015, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4587405 a multiple of 521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 5 + 2*l**2 - 2*l**3 + 2*l**4 + 2 + 0 - l in the form t*l**3 + v*l**2 + o + j*l**4 + u*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the second derivative of 3*y**7\/7 + 29*y**6\/10 - 159*y**5\/20 - 16*y**4 + 6*y**3 - 13938*y. Find i such that u(i) = 0.\nAnswer: -6, -1, 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3690647 is divided by 468?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 - v**2 + v. Let k be o(2). Let x(m) = m + m**2 + k - 2*m - 4*m + 3*m. Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*-3*sqrt(28)\/sqrt(4) - (3*sqrt(112)*-1 - sqrt(112))) + (sqrt(84)\/(sqrt(12)*-2) - (-3 + sqrt(7) + sqrt(7) + -1)) + 5)**2.\nAnswer: 27*sqrt(7) + 387\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v - 4*v - 8. Let h(q) = q**3 + 8*q**2 + 1. Let a be h(v). Suppose a = -w - 0. What is the third biggest value in 0.2, 2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 - 12. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - d + 2)*(-26*d**3 - 5*d**4 + 26*d**3) + 132*d**5 - 89*d**5 - 41*d**5 + 42*d**4 + 2*d**3 + (d**5 - 2*d**5 + 2*d**5)*(-3 + 2 + 2).\nAnswer: 8*d**5 + 42*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.6 and -8.2?\nAnswer: -13.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 355 and 2661080.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19)*-2 + 4 + 6*sqrt(304) + ((sqrt(171) + -3*1*sqrt(171))\/sqrt(9))**2.\nAnswer: 80 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2345776918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 28 = d. Let a(y) = 13*y**3 - 5*y**2 - 38*y**3 + d*y**3 + 6*y. Let r(g) = -5*g**3 - 2*g**2 + 3*g. Let p(o) = 2*a(o) - 5*r(o). What is j in p(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 8 = -4*f. Let z = -2.92637 + -0.07363. Sort f, -0.06, z in ascending order.\nAnswer: z, f, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7439728413 to the nearest integer?\nAnswer: 86254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71784*q**2 - 35890*q**2 - 35888*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 5.75243mg in grams?\nAnswer: 0.00575243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-2) - (-45)\/((-4500)\/140). What is the second smallest value in -0.38, 1\/3, 3, 5, l?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4176869.\nAnswer: 23, 181603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13825469?\nAnswer: 7, 1975067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract -20830815.952 from -258.02.\nAnswer: 20830557.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 29*t = 31*t - 24, -16 = -4*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 PM and 4:38 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*-130.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 13\/8 of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (14\/35)\/(13\/(-5))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-34)\/68*(-12 - -2). Sort 23, -2, -0.1, i in ascending order.\nAnswer: -2, -0.1, i, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 6 = -2*d - 16, -b + 10 = -4*d. Let j(m) = -3*m**3 - 2*m - 2. Let k(n) = 7*n**3 + n**2 + 4*n + 5. Give b*k(g) + 5*j(g).\nAnswer: -g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 4*c = -12, -r - 4*c - 27957 = -27985 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9356742?\nAnswer: 2, 3, 173273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 264 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2*(-2 - 0)\/2. Suppose -h + 3 + u = 0. Suppose -1385 = -h*j + 5*l, j - 2*l - 274 = -0*l. Round j to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3533414 is divided by 10872?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = n, 0 = 3*r - 14*n + 17*n - 30. Suppose 36*a - 3 = 35*a. Solve -5*y + 4*w + 0*w + 29 = 0, a*y + r*w = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 25*o - 45*o + 19*o. Let s(y) be the first derivative of -5 - 3*y**2 + 12 - 2*y**2 + 3*y**2. Determine s(d(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 17*m - 4 - 19*m + 1 + 3*m. Give y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that r**5\/4 + 33*r**4\/2 - 427*r**3\/4 + 93*r**2 + 216*r = 0.\nAnswer: -72, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 54987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4365*a + 2286*a + 2208*a + 5031 = 0 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -85, -110, -155, -226, -329, -470, -655?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -89 - (0 - (-1 - 11 - -22 - 28)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 19120 and 2518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, 0, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 823, 805, 795, 793, 799?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40204 is divided by 163?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 44 and 1744952.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 4*m**2 - 2*m**2 - 4*m - 2*m + 44*m**3 - 4 - 3*m - 41*m**3 in the form j*m**3 + w*m + k*m**2 + v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7597352 and 20892718?\nAnswer: 83570872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be (159\/212)\/((-15)\/(-12)). What is the biggest value in -5, r, 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 - 8 = -6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -s**4 - 2*s**2 + 39891*s + 472387 wrt s.\nAnswer: -4*s**3 - 4*s + 39891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*b + 71 - 71)*(b**2 + 2*b**3 - b**2) - 3*b**4 - 2*b**3 + 2*b**3.\nAnswer: 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-28)\/10*(25\/(-10) + 0). Suppose 0 = -o + 3*n + 28, -4*o - n = -105 - m. Solve -2*l - o = 4*w + l, -3*w + 4*l + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4548178926?\nAnswer: 2, 3, 89, 2839063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + s + 20 = -18, -3*m = 5*s - 6. Let q(o) be the third derivative of -o**5\/60 + 3*o**4\/8 - o**2. Give q(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -2*v - 439*v**2 + 2*v + 427*v**2. Let r(j) = -7*j**2. Determine r(z(t)).\nAnswer: -1008*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 327 + -229. List the prime factors of (l\/(-4))\/(1\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/259, -0.1, 2226.\nAnswer: -0.1, 1\/259, 2226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2 (b) 1 (c) -1\/4 (d) -1.1 (e) 98 (f) 1\/96 (g) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -348 - -592. Suppose 121*k + 39*k - 48800 = 0. What is the greatest common divisor of k and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2518, -2507, -2488, -2461, -2426, -2383, -2332?\nAnswer: -2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 69953, 80827, 91701?\nAnswer: 102575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 5*x**5 + 884*x**4 + 11478*x**3 + 37604*x**2 - 7987*x = 0.\nAnswer: -163, -7, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 99350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -239 + 239 - 9*y**2 - 6*y**5 wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7540\/(-928) - (-2)\/16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 128 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1272*8.58\nAnswer: 10913.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r*r**(-2\/3)))\/(r**(-1\/4)*r))\/(r\/(r**2\/r)*r*r*((r**(1\/8)\/r)\/r)\/r))\/(r**(-1\/2)*r\/((r\/(r**(-2\/27)\/r*r))\/r)*r\/r**2*r*r**6) assuming r is positive.\nAnswer: r**(-1217\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1445130.26 - 3.7\nAnswer: -1445133.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18\/(-15)*340\/(-272)*2*-2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -83, -36, 4, 2, 0 in descending order.\nAnswer: 4, 2, 0, -36, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 36\/9 - 158\/84 and 29\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 - 40*m - 94. Is 30 a factor of t(56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*o + 150656 = 104*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t. Let o(q) = 29*q + 122278. Give u(o(z)).\nAnswer: 29*z + 122278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 205272149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**5\/23 - 22290*n**4\/23 + 44586*n**3\/23 - 22294*n**2\/23 = 0. What is n?\nAnswer: -11147, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 142543?\nAnswer: 142543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do -36\/41489 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from kiuwwwuijjjjiaj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -7*q + 6. Let w = 7 + -4. Suppose -2 = -5*o + w. Let c(d) = -3 - 12*d + 11*d + 2 + 2*d. Calculate o*t(l) + 6*c(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -39.0552 + 1.1592. Let r = -38 - t. Round r to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 815653 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*b + 21*b = -8. Let v(n) = -19*n - 8 + 5*n**2 + b*n + 11*n. Does 12 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -896 divided by -4.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 45564 or 227817\/5?\nAnswer: 45564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1193*f**2 + 2 + 9*f - 10674*f**2 - 6*f - 2.\nAnswer: -11867*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the second derivative of o**5\/20 + 3*o**4\/4 + 58*o**3\/3 - 16*o. Find the second derivative of l(h) wrt h.\nAnswer: 6*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 819 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 37*a - 1610 - 9120. What is the lowest common multiple of 8 and a?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 32.8072 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6316271 divided by -3?\nAnswer: -6316271\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2663*d + 208*d - 2142 = 22408 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -16858 greater than or equal to -16807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 4)*(6*z + 0*z - 4*z)*(1407 - 2246 + 1072).\nAnswer: 932*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x - 10. Let q be j(-8). Let m be 2 + -2 + (12 - q). Suppose 3*c - 2*c - m = 0. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 + 27*s**2 - 19*s - 51. Let q be l(-28). Let f = q + 304. Let h(a) = -a + 1. Let u(c) = -5. Calculate f*u(x) + 3*h(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*k = -63*k + 1081. Are 116 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d + 3*d = -48. Let s be (0 - (-1)\/2)*d. What is f in 3*f - 6*f**3 - 3*f**3 + s*f**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 3420\/101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6480863493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/v**(4\/7)*v))\/(v\/(v*v**(-6)*v))*(((v**(-2\/9)\/v)\/v*v)\/v)\/v*v**(-7) assuming v is positive.\nAnswer: v**(-986\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 52985915 divided by -1\nAnswer: -52985915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00531914 to 4 dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be 55\/33 - 1\/(-3). Suppose -3*y + 14 = 5*z, k*z + 14 = 4*z - 3*y. Solve -6*o + 6 = -z*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 36\/(-21)*(-14)\/4. Let g(d) = -d**3 + 6*d**2 - d + 4. Give g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 10 = -5*a, -9*h - 2*a - 4 = -11*h. Suppose 0 = 2*b - 4*g, -3*g + 8*g = h*b. Solve -2\/7*p**2 + 0 - 6\/7*p**4 + 6\/7*p**3 + b*p + 2\/7*p**5 = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -894973\/197 + 4543. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20*6\/(-48)*(-38)\/10*-2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -2*s**3 - 119*s**2 - 39*s + 1193. What is r(-59)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 - 2. Suppose -o*l = -n - 145, 125 = -0*l + 4*l + n. Suppose -36*a = -40*a + 5*z + 55, 3*z - 21 = -3*a. What is the highest common divisor of l and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*q + 33 + 38 + 33 - 105.\nAnswer: -31*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 65 = -3*i, -7*i + 20 = -3*x + 15. Solve 0 = 5*o + 5*n - x*n, 3*n = 2*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*k + 0*k - k - 2*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*i - 10818 = -2*f + 61*i, 5*f - i - 27019 = 0. What are the prime factors of f?\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(5) - (-2 + sqrt(5))) + -3)*1 - -6*(2 + sqrt(125) + sqrt(5)))*4)**2*-4 + -1.\nAnswer: -422465 - 50688*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(456)\/(sqrt(12) + sqrt(108)))\/sqrt(2) + (sqrt(931)*1 + -2)**2.\nAnswer: -111*sqrt(19)\/4 + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r, 1 l, and 1 q when four letters picked without replacement from {l: 2, q: 4, w: 6, r: 3}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1.5 (c) 3 (d) 1 (e) 1\/6 (f) -266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 156 and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, -0.1, -3, 2, 1\/3, 3, 12 in descending order.\nAnswer: 18, 12, 3, 2, 1\/3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -412*t**3 + 1775*t**2 - 8. Let h(a) = -138*a**3 + 592*a**2 - 3. Let x(j) = -8*h(j) + 3*l(j). Find the third derivative of x(n) wrt n.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 AM and 3:29 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 388*s**2*y - s**2 - 127198*s - 1339*y - 1 wrt y.\nAnswer: 388*s**2 - 1339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 20267008 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 140 + 332*t**3 - 419 + 140 + 139.\nAnswer: 332*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 50470*c**5 - c**3 + 38*c**2 - 74*c - 5 wrt c?\nAnswer: 3028200*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-224)\/(-4))\/((-24)\/((-96)\/8)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.364 + 0.026. Let r = q - 0.09. Suppose -5*c = -3*t, 8*t = 4*c + 3*t + 13. What is the nearest to c in r, 2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -4*y**3 - 19*y**2 + 33*y + 21. Let w be j(-6). Let m(d) = -d + 2. Let p(q) = -q + 3. Calculate w*p(t) - 4*m(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11143500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2336630114?\nAnswer: 2, 7, 13, 12838627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/7)\/(2\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 14981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6 - 1. Let g(i) = -2*i - 5. Let h(y) = -2 + 3 - y - 3. Determine p*h(c) - 2*g(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be -33334*(-8)\/(-5088)*2\/(-14). Let p be (-4)\/(-3)*(-2)\/212. Let c = i - p. Which is smaller: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = -3*d + d + 1, -h = -d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2026, 4525, 7490, 10921?\n\"Answer: 233*o**2 + 1800*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 3*a + 3 = 0, -92*a - 1 = 3*p - 91*a. Sort 4, p, -0.5 in descending order.\nAnswer: 4, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -21.3071356 to 1 decimal place.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 6*j - 120 = 5*y, j = -y + 22. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18233 - -18422. Let j be 1\/(-2 + (-177)\/(-90)). Let s = j - -51. Calculate the greatest common factor of y and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 74664863 to the power of 1\/2, to the nearest integer?\nAnswer: 8641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 22840641 to the power of 1\/2, to the nearest integer?\nAnswer: 4779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, -6, 3, 8, -4.\nAnswer: -6, -4, 3, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 1, t: 4, x: 1, y: 4, n: 1}. What is prob of sequence xygt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 25*w. Let k be h(1). Suppose -501 = -4*u - k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 5382 divided by -1\nAnswer: -5382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 43761219197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 831 + -796. What is the highest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((16 + -1 - 9) + -12 - 23) + 2 + 8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence om when two letters picked without replacement from mmqmmmmmoxmmq.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 0.03, -2, 1\/88, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, -4, -5, 4\/7, -1562, -0.5 in descending order.\nAnswer: 4\/7, -1\/6, -0.5, -4, -5, -1562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 10*k**2 - 7*k - 4. Let r(t) = 7*t**2 - 5*t - 3. Let u(b) = 5*l(b) - 8*r(b). Let a be u(-2). Let o = a - -32. Solve 8 = o*s - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m**4 - 3*m**4 + 5*m**4 + (-5*m**2 - m**2 + m**2)*(4*m**2 - 2*m**2 - 5*m**2) in the form l*m + v*m**4 + k*m**3 + p*m**2 + q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33 + 6. Let i = -24 + d. Solve 8*q = 3*q + i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 364 is divided by 98.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*z + 3*y = -4*z + 8, -y + 10 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 29.6 + -34. Let z = o + 6.4. What is the third smallest value in 1, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 - 12*m**2 + 32*m - 62. Calculate y(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-5)*k\/k**(-6)*(k**(2\/7)\/k)\/k*k\/(k**(2\/7)\/k) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-6)\/9 - -2)*(9 + 231\/(-22)). Let i = -4 - -3. Sort z, -5, -6, i in decreasing order.\nAnswer: i, z, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z = l + 8, 50*z - 54*z = 3*l - 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 4, -3*x + 3*c + 278 = -202. Which is smaller: x or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.4 - -414516.\nAnswer: 414517.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*v + 14*v - 15 = 0, -5*p = -v - 28. Solve -6*r = -5*r + p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -986268.2 to the nearest 10000.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 48 (b) 10234 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 78, 2\/9, 307, 2\/5, 1\/14, 3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -18*v**3 - 11*v**3 + v**2 + 30*v**3. Let m(d) = 9*d**3 + 9*d**2. Let g(w) = m(w) - 6*r(w). Find the third derivative of g(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466365.8l in millilitres?\nAnswer: 466365800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.9 + 0.97. Is 1 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vtpq when four letters picked without replacement from tqpmtpvqypq.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/(v\/v**0))*v)\/((v**1*v)\/v*v)*(v**(-1))**32 assuming v is positive.\nAnswer: v**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2207*y - 5*v = 2205*y + 9, 0 = -4*y + 4*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 34300 + 3?\nAnswer: 34303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of h**2*i*p**2*x - 2*h**2*p**2*x**2 + 2*h**2*p**2*x - 6*h**2*p*x - 17462*h*i**2*p*x**2 - 569*h*i*p**2*x + i**2*p*x - 3*i**2 wrt x.\nAnswer: -4*h**2*p**2 - 34924*h*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -863.36 + 843. Let i = -0.026 + -19.974. Let d = i - z. What is d rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -34 and 61\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -85177*u - 565099 wrt u?\nAnswer: -85177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (112\/1956)\/((-7940)\/(-420) - 19). Do -1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -151*10174\nAnswer: -1536274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (0*c - 3*c + 0*c)*(4 - 4 - 1)*(14*c - 3 + 3) as k*c**2 + r + f*c and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -224650, -224276, -223902, -223528?\nAnswer: -223154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2480 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(1\/17))\/y**(-9)*y\/(y*y**(-2\/5))*y**(-1\/10)*y assuming y is positive.\nAnswer: y**(1911\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-129) - 20720\/105006.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1764329 by -2149.\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of -1\/6*p**3 + 0 + 2*p**2 + 1\/4*p**4 + 3\/10*p**5 - 39*p. Let l be g(3). What is the highest common factor of l and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1629 greater than -1628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the second derivative of 0 + 2*x + 3*x**2 + 7\/6*x**3. What is the first derivative of w(o) wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -324.14 rounded to the nearest integer?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -13? (a) 4 (b) -0.2 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-3\/4)\/s)**46*(s**(2\/15))**34)**(1\/11) assuming s is positive.\nAnswer: s**(-2279\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 9 by 2869611.\nAnswer: 3\/956537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 4*c + 14040 = -12080, -26155 = -5*v - 3*c. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + 22 = u, -7201*u + 7220*u - 50 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-313)\/(-5008)*(-16)\/79?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 40628*l + 24405.\nAnswer: 40628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0 (b) 26\/3 (c) 484.5 (d) 0.6 (e) -1 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 41 + 6*o + 4*o - 4*o + 0. What is the tens digit of k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2350387339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2*b**2 - 14*b + 4. Let f be j(13). Suppose -5*c = -3*g + 5*g - 35, 0 = -2*c + 4*g - 10. Suppose f = -c*w + 460. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6*((-2)\/(-11) + (-21)\/(-66))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 119 and 41559.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 114004012.\nAnswer: 2, 28501003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**2. Let o(h) = -17*h - 85. Let g(x) = 1. Let d(b) = 340*g(b) + 4*o(b). What is a(d(j))?\nAnswer: 4624*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the first derivative of -2*x**3\/3 + 2*x + 17. Factor l(p).\nAnswer: -2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:03 AM and 10:14 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 - 5*w**2 + 6*w - 4. Let p be t(-6). Let z be 0\/(1 + 2 + p). Suppose z = -v - 0*v + 8. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, y: 1, s: 1, z: 1, u: 2, p: 1}. What is prob of sequence uu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*r**2 + 6*r**5 + 3*r**3 - 3*r**3 + 0*r**2 wrt r.\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5097656264.\nAnswer: 2, 637207033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -106\/2625 and -23\/2205.\nAnswer: 55125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4681, -9382, -14093, -18820, -23569, -28346?\nAnswer: -33157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2*n**3 - 6*n**2 + 5*n - 4. Does 21 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aasasaaaaasaaaaaaaaa?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 5*u + 14, 4*u + 4 = i - 6. Solve i = 3*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -131*m. Let a(p) = 183336*p - 183336*p - 15*p**2. Give s(a(n)).\nAnswer: 1965*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1241094.9 rounded to the nearest one thousand?\nAnswer: 1241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*g**2 + 16*g**2 - 4*g**3)*(1 - g - 1).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4151 - -74603\/18. What is the common denominator of q and 1\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the first derivative of -u**4\/2 + 47*u**3\/3 - 36*u + 107. Differentiate y(q) with respect to q.\nAnswer: -6*q**2 + 94*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 144 = 123. Let b = g + 101. Solve 0 = i + 2*i + 3*t - b, -11 = 4*i - 5*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -124 - -126. Solve -u + 5 = s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 8 = 3*t - 42, 5*t = -3*s + 105. Let l = 132 + t. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -4*j - 7. Let w(o) = -25*o. Let h be w(-6). Suppose 3*u + h = u. Let x be (-47)\/(-15) - (-10)\/u. Let p(q) = -2*q - 4. Give x*v(b) - 5*p(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25347.\nAnswer: 3, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uwwwuwxuwwoxxuuqu. What is prob of sequence qxou?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.0164 + -303.9836. Let p = -307 - m. Let k = 2.726 - 0.026. Which is the second biggest value? (a) p (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11249545 times -1?\nAnswer: 11249545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 - 43*u**2 - 85*u - 96. Give b(-41).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.3037577 centuries?\nAnswer: 30.37577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/9*15\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2 - (74\/185)\/((-1)\/10). Suppose 2*h - m*y + 320 = 0, 6*h - 4*y + 316 = 4*h. Is h greater than or equal to -162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 684797*p**4 + 338629.\nAnswer: 2739188*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/391914 and -31\/57780.\nAnswer: 1258043940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3863912 is divided by 1287957?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2 - 272*z - 798.\nAnswer: -2*(z + 3)*(z + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19, -51, -97, -157, -231, -319, -421?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2016 + -3933\/2. Let x be ((-21)\/9 + 1)*-24. What is the common denominator of ((-26)\/x)\/(1\/(-6)) and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:35 AM and 10:32 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1554 - -1553.86. Let k be 2\/12 + (-3)\/(-6). What is the closest to -1 in k, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a\/(a\/a**(-27))*a)\/((a\/(a\/a**(24\/5))*a)\/a)*(a**(2\/27))**(5\/4))**(2\/171) assuming a is positive.\nAnswer: a**(-8021\/23085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -107*h - 104*h - 129*h + 340*h + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 28*l - 701. Give m(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1706208 + -10261417\/6. Let z = h - -4015. Calculate the common denominator of -137\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 28 and 94165834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**3\/2 - 23025*f**2\/2 + 183816*f.\nAnswer: 3*f*(f - 7659)*(f - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1093*w**2 + 548*w**2 + 543*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -146*o + 1480 = -272 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -123, -129, -147, -183, -243?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {i: 1, v: 1, b: 2, t: 1, h: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - 4 + 4)*(3 - 3 - 1)*(3 - 1 - 1)*(3*q**2 - 3*q**2 + q**2).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the second derivative of -1\/18*t**4 - 4*t + 0*t**2 - 1\/18*t**3 + 0 + 1\/126*t**7 + 1\/45*t**6 + 0*t**5. Factor f(r).\nAnswer: r*(r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9943 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(4\/5)\/(w**3*w*w)*((w\/((w*w\/(w*w**(-1\/10)))\/w))\/w)\/(w\/(((w*w\/((w*w**9*w)\/w))\/w)\/w)) assuming w is positive.\nAnswer: w**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.0761 - -28.5739. Let r = 0.35 + z. Let k = 28.99999867 - r. Round k to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 307381923 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -52\/30705 and -11\/6675?\nAnswer: 153525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 5*((-63)\/252)\/(10\/(-88)) + -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1216807, 1216794, 1216781?\nAnswer: 1216768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 29, 18 in increasing order.\nAnswer: -4, 18, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2578397698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from alxaxxaalxaa.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/7)*(h\/(h*h\/(h**(1\/9)*h)))\/h)**(-48)*(h**2*h*((h*h**(-1\/7)\/h*h*h)\/h)\/h)**(2\/51) assuming h is positive.\nAnswer: h**(10376\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 86*b. Let x(s) = -s**2 + 27760. What is c(x(t))?\nAnswer: -86*t**2 + 2387360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 359 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1b4 (base 14) to base 9\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -50\/84757369 or 1?\nAnswer: -50\/84757369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.08 in 107, -1\/2, 3, 0.148, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2 - (0 - -1)*-5) + 1. Solve -4*x + 28 = -4*y, -5*x = -0*x - z*y - 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**2 - 2*n. Let h be r(-2). Suppose 6*d - 11*d = h. What is x in -4\/9*x + 2\/9*x**2 - 2\/9*x**4 + 4\/9*x**3 + d = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 2410*q + 2405*q + 23 = 0, 2*q + 6 = 4 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1517\/7, -0.1 in decreasing order.\nAnswer: 1517\/7, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2059319309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*a + 42*a = -45*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.3+-1.973\nAnswer: -2.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -26, -28, -30, -32?\n\"Answer: -2*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16236 divided by -6.\nAnswer: 2706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f + 8. Suppose -2*d - 9 = 3. Let z be h(d). What is the third derivative of z - x**3 - 2*x**2 - 2 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 PM and 1:35 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 324 a factor of 4588953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.11 + 309.\nAnswer: 309.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3600) + sqrt(3600)*2 - sqrt(3600))*-6 + -1*sqrt(3600)*2)\/(-3*(sqrt(60)\/sqrt(45) + sqrt(24)\/sqrt(2)*-2)).\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3 or -7964?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 2*u**2 - 17*u + 32. Let s be q(6). Let d(n) = 1 + n**s + n**2 - 2*n**3 + 1 + 2*n**2. Let c(t) = -2*t**2 + 11*t + 9. Let o be c(6). Give d(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 347 divide 13952870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes before 3:29 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 245 - 244.41. Let o = h + -0.99. Suppose -r = 1 - 3. Which is the third smallest value? (a) r (b) -2 (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r - 4. Let s = 12 - 5. Let a be b(s). Suppose 0 = -3*m + 3*c, -3*c = -a*m - c. Let h(w) = w - 2. Calculate h(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 96 and -144*((-50)\/(-6) + -7 - 2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/13752 and -149\/72?\nAnswer: 13752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y. Let z be i(4). Let j(w) = -8*w + 4. Let n(v) = 9*v - 3. Let o = -167657 - -167654. Give o*j(r) + z*n(r).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2999 - -5084. Suppose 9*t - m = 1736. List the prime factors of t.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 84\/37 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 310657, 310623, 310563, 310471, 310341?\n\"Answer: -r**3 - 7*r**2 - 6*r + 310671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the first derivative of 1\/3*p**3 + 7 + 3\/5*p - 1\/20*p**4 - 7\/10*p**2. Factor g(q).\nAnswer: -(q - 3)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j + 217 = 4*x + 38, -2*x + j + 77 = 0. Calculate the remainder when ((-153)\/(-2))\/((-3)\/(-4)) is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from jmycjmyqyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (104*y - 22 + 12 + 10)*(2 - 1 - 4).\nAnswer: -312*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 84, 158, 232?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 2*f + 182 - 156 = 0, f - 27 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**3\/5 - 122*x**2\/5 + 5882*x\/5 - 10982.\nAnswer: -2*(x - 17)**2*(x + 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5.1 + 0.1. Let p = 7.757 - 2.75711. Let k = c + p. What is k rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 33\/9 - 1\/(-3). Suppose -5*t = -2*c + 4, -4*t = g*c - 1 - 7. Solve c*x = 1 + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32550 and 398350.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -216 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**3 + m**2 - m + 2. Suppose -z - 1 = -4*t - 15, 0 = 4*z - t + 4. Let k be w(z). Suppose k = 5*x - q - 1115 - 3417, 0 = 3*x + 3*q - 2730. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(78) + sqrt(78)*1*-3 - 3*sqrt(78)*-2)\/(sqrt(12)\/(sqrt(2) - (sqrt(50) - sqrt(2))*-3)).\nAnswer: 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of a**7\/840 - a**6\/45 + a**5\/20 + 7*a**4\/24 - 4*a**3\/3 - 3*a**2 + 75. Let y(r) be the third derivative of h(r). Determine y(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**6\/(h*(h**1*h)\/h))\/(h*h**0)**(-1\/6)*(h**(-1\/3)*h)**(2\/13)*(h**0\/h*h)\/h**0 assuming h is positive.\nAnswer: h**(111\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -20*z**2. Let v(y) = -15068258*y. Determine v(j(r)).\nAnswer: 301365160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -26960 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -23877 (base 16) to base 12\nAnswer: -70273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 + (-12)\/8)*-14. Let h(f) = -f**2 - 8*f + 9. Calculate h(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 4607875 and -10142.\nAnswer: 4597733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/2 + (-24)\/(-8). Let q = c + 25. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1169075861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 + 4*t - 5. Let p be u(-5). Suppose 0 = -p*w - w. Suppose w = 4*y + 2 - 6, -3*i + 5*y + 10 = 0. What is the second biggest value in 1\/8, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.11413 - -522.88587. Which is smaller: 8 or d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(2*((sqrt(170) - -3*(-1*sqrt(170) - sqrt(170))) + sqrt(170) + sqrt(170))\/(sqrt(1000) - 4*sqrt(1000)))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16 + 36. Let r be 0 - 8 - 8880\/(-60). Calculate the greatest common factor of r and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l + 3*w - 23 - 25, 0 = -3*l + 5*w + 22. Solve -2*m + l = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sbsbbossbbs. What is prob of picking 2 b and 1 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 451 and 4387.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w + 1. Let k(x) be the second derivative of -x**4\/12 - 2*x**2 - 9*x + 1. What is d(z) + k(z)?\nAnswer: -z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*m**5 + 0*m**5 + 3*m**5 + ((3 + 4 - 5)*(0*m - 2*m + 0*m) - m - 2*m + m)*(6*m**3 - 5*m**4 - 6*m**3).\nAnswer: 31*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1708898096 and 4804?\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 387207779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2388977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 7)*(0 - 3*c**2 + 0) - 3*c**2 + 0*c**2 + c**2 + 20*c**2 + 3*c**2 + 8*c**2.\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 16.68 times -319.72?\nAnswer: -5332.9296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 13. Let s be -48 + 44 - (0 + -3 + -1). Sort s, -0.2, x.\nAnswer: -0.2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -2*p**2\/13 + 11618610*p\/13 - 34855812\/13 = 0.\nAnswer: 3, 5809302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 5*g = -3, 5*c + 2*g - 2 - 19 = 0. Calculate the lowest common multiple of c and 101.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 13883 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 15) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -h**5\/2 + 7455*h**4\/2 - 7453*h**3\/2 - 7455*h**2\/2 + 3727*h = 0.\nAnswer: -1, 0, 1, 7454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand x + 14*x + 0*x + (6*x - 47 + 47)*(-1 + 2 + 3).\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*l - 1254 - 332 = 0. Suppose -16*y + 13 = l. Let z(k) = k**3 + k + 1. What is z(y)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 711476.9645 to the nearest 100.\nAnswer: 711500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, z: 8}. What is prob of picking 3 m?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 210\/18*12\/4. Suppose -2*s - 2 = -3*s + 4*l, 5*s + 5*l = x. Calculate the greatest common divisor of 33 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**2 - 4*z**2 + z**2. Let i(t) = 2*t - 4. Let u(x) = 2. Let q(h) = -i(h) - 2*u(h). Determine d(q(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 41304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*s + 414 = -57 - 4 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {e: 2, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 6\/17, 5, 3, 0.5, 3\/10.\nAnswer: -6, 3\/10, 6\/17, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1224 and 136?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1351 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -5*q + 72. Calculate the remainder when z(-9) is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 25\/(2100\/(-24)) + (-16)\/(-7). What is the common denominator of (-6 - 45)*w\/6 and 1 + (16\/22)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11990041915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/7, 0.1, -4\/41, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes after 10:01 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 228654 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 56 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/35*-85*(-17)\/(-17).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 4*m = -29 - 66, 4*x = 3*m - 75. Let i be (-1)\/(-4) + 294\/8. Let f = x + i. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 13. Suppose w + 3*w + 8 = 4*u, 0 = w + h. Let x(o) = o**3 + 3*o**2 - 3*o. Is x(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2)*2*-3 + 0.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14*q**4 + 87*q**2 + 3177*q.\nAnswer: -168*q**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -313397*d + 313397*d - 369*d**3.\nAnswer: -369*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -2*m - 1. Let n be (10 - 11)\/(1\/1). What is s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 24, 21, 8, -21, -72, -151?\n\"Answer: -m**3 + m**2 + m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 654, 2622, 5878, 10422, 16254, 23374?\n\"Answer: 644*c**2 + 36*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/9 + 2\/(-6). What is the closest to -3\/5 in -0.2, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffnlnnln. What is prob of sequence nll?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 2*x + x - 9, -t = 3*x - 9. Suppose x*m = -5*a - 2 + 5, -2 = -2*m. Solve 2*o - 4 = -j, a = -0*o + 3*o + j - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 2*z - 4*z - 388, -516 = 4*m + 4*z. Let j = m - -67. Let o be 2\/(1 + j\/69). What is the highest common factor of 253 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 5*b - 1. Let d be s(1). Let y be (-1 - -2)\/(2\/d). Suppose 30 - y = 4*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 34\/51 - (-19114)\/(-1380). Let g = 2\/115 + q. What is the common denominator of 56\/3 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 34*(-30)\/12*(-21)\/28*(-16)\/12\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -28, -47, -54, -43, -8, 57, 158?\n\"Answer: a**3 - 26*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 821*l + 69*l - 13350 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 57, -2, 16 in increasing order.\nAnswer: -5, -2, 16, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 - 12*g + 5. Let k be (-3)\/(-3)*-10 - -1. Let a be d(k). Suppose 5*q + 18 = 3*t - 22, 0 = -4*t - 4*q + a. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1015 = -4*x - 151. Suppose 23*o = 25*o - x. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p. Let a(r) be the third derivative of 1\/24*r**4 - 16*r**2 + 0*r**3 + 0 + 0*r. Determine o(a(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 947401 and 6293?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 34\/5 of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 5*c**2 - 4*c + 7. Let f(y) be the third derivative of y**5\/20 - y**4\/8 + 5*y**3\/6 + 26*y**2 + y. Calculate 7*f(n) - 5*j(n).\nAnswer: -4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1 + -3 + 0 + (-24 - (-32 + -32) - -7)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.4 - -2.6. Which is the closest to 1\/2? (a) 2\/5 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 32*o + 28*o**2 + 3*o**2 - 30*o to b*o + w + k*o**2 and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 - 5 = 4*k. Let j(v) = 4*v. Let g be j(k). Let r = 6 - g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 6909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 - 5*q**2 - 4*q + 4. Let t be j(-4). Suppose -2*s - s = t*p - 970, 5*p - 1218 = -s. Suppose 29 = 7*z - p. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -1613.889857?\nAnswer: 1611.889857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w + 6*w = 0. Let s = 2 - w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(605) + sqrt(605) + -1)**2 + -3.\nAnswer: -44*sqrt(5) + 2418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13052*b**3*m**2 + 5*b**2*m**2 - 31*b**2 + 8*b*m**2 wrt b?\nAnswer: -78312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 590 and 9.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 4 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 326.72 - 327. Let q = b - -0.38. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**3 - 28*o**2 - 62*o + 336. Calculate w(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 - 11.9. Let o = 532\/5 + -106. Is x > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 5*q = 55, 2*l + 2*q - 17 = -5*q - 64 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*j + 1666 = 132*j. Calculate the remainder when 3792 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -7*c**5\/3 - 1930*c**4\/3 - 122053*c**3\/3 - 716266*c**2\/3 + 1090496*c\/3 - 250240\/3 = 0.\nAnswer: -184, -85, -8, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8 + -8.35. Let v = u + -0.03. Let o = v + 0.08. Put 1, 0.3, o in decreasing order.\nAnswer: 1, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 3*r**2 + 2*r + 4. Give n(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 - 55*f**2 + f + 63. Let s be w(-55). Solve s - 20 = -2*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 1224?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (-2 + -5 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 650 is divided by 141.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7524 (base 8) in base 13?\nAnswer: 1a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 46*b + 776. Determine i(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1\/3 (b) -2 (c) -355 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12699 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + -2 + (-10 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -2724 by -2.\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31741 is divided by 270?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j**2 + 10*j + 4. Let s be w(-4). Suppose 0 = 3*b - 24 - s. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 122 (base 6) to base 9.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 1530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 24 in 11, -1\/10, 1, 1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 8, -3638 in decreasing order.\nAnswer: 8, -2, -3638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*(0 - -1)*-2. Let 5*t - 40*t**4 + 22*t**3 - 40*t**3 - 6*t**3 - 26*t**3 - 5*t**a = 0. What is t?\nAnswer: -1, -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - ((4 - 7) + (7 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1509 divided by -1\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -366 + 359. Let b = -3.05 + 0.05. What is the fourth biggest value in d, -1, -0.4, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, o: 1, a: 4, n: 1, p: 3, g: 3}. What is prob of picking 1 g, 1 a, and 1 n?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does -1178 = -1179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 9\/189 - (-14)\/(-294). Solve h = -38*n + 42*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 262 divide 17457890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of -25*d**4\/6 + d**3\/3 + 31*d**2\/2 + 10*d + 1. What is the first derivative of t(f) wrt f?\nAnswer: -100*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4491 - 3481. What is the remainder when s is divided by 102?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 7:14 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0052063716 to 4 decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4878\/7 or -698?\nAnswer: -4878\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55621583\/284 + -195851. Calculate the common denominator of o and 3060\/252*(-14)\/4.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*v - 6 + 6 + (-5 + 2 + 2)*(33*v + 400 - 400) to the form t + g*v and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -88987, -182772, -276557, -370342, -464127?\n\"Answer: -93785*s + 4798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2\/5, -18\/11 in decreasing order.\nAnswer: -2\/5, -18\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -3928 smaller than -3929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 19278 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 58*v - 14*v**2 + 10 - 58*v.\nAnswer: -14*v**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 574.9, -1\/13 in decreasing order.\nAnswer: 574.9, 0.4, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*(c*(c\/(c*c\/(c**9\/c)))\/c*c)\/c*c**10)**(1\/22) assuming c is positive.\nAnswer: c**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 713479 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -890465*l + 890481. Calculate g(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 311 + -306. Solve h*u - 27 = -p + 3, -25 = -4*u - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1067*a**3 + 273*a**3 + 200*a**3.\nAnswer: -594*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(880) + sqrt(55))*6*-4)\/(2*sqrt(405)*-5).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10077 + -2436. Suppose 4*b - 3*a - 23521 - i = 0, -5*a - 7799 = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-34)\/(-6) - 2\/3. Suppose -2*r + 5*c = 11, u*r - 52 = -2*c - 7. Let f be r\/(-21)*(-27)\/(-6). What is the third biggest value in -7, 4, f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -955.2811 minus -10190.596?\nAnswer: 9235.3149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -234.\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(1\/4)*f*f**1 assuming f is positive.\nAnswer: f**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cjgc when four letters picked without replacement from bgbgcjcbbbbbbbggb.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**2 - 5*n - 1. Let f be d(-3). Suppose p + 3 = f. Sort -4, p, 0.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -122141 + 551?\nAnswer: -121150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5955889*l**4 + 3841*l + 2214 wrt l.\nAnswer: 71470668*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192 = 5*c - 18. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, 6, 1035, -2, 4 in decreasing order.\nAnswer: 1035, 6, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 - 4. Suppose -11*d + 13*d = s. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (s + 2*s - s)*(2*s - 2 + 2)*(0*s + 7*s + 2*s) to j*s**3 + w + z*s + b*s**2 and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 2*s**2 + s - 4. Let w be x(-2). Suppose 6 - w = 2*c. Solve -3*t + 5*t + 4 = -2*h, -t + 3*h - c = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1914960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -43, -89, -165, -283, -455, -693, -1009?\n\"Answer: -2*o**3 - 3*o**2 - 23*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -67.0561 and -0.4.\nAnswer: 26.82244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 - 6*x**2 - 3*x + 10. Let m be a(-5). Suppose m = -f + 3*f - 4*j - 30, -5*f - 4*j + 75 = 0. Solve -2*y - 3*y + f = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -5*y**3 + 4*y**2 + y - 1. Give o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) 11 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -745*c + 1529*c - 772*c = -24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 43764 and 9408.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/14 and 193\/3120.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 5*a + 210, -3*w - 3*a + 210 = 2*a. Let f(h) = -74*h + 624. What is the remainder when w is divided by f(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*d + 3*d**2 + 3*d)*((-3 + 3 + 2)*(50 + 50 - 80) - 3 + 5 - 4)*(-2 + 5*d - 3*d - 4*d) in the form w + q*d**3 + r*d + i*d**2 and give q.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(-2))\/((q**1\/q)\/q)*q**(4\/7)\/(q*q\/((q*((q**3\/q)\/q)\/q)\/q*q)))\/(q**(-1)*q*q*q\/(q*q**(-8\/3)))**50 assuming q is positive.\nAnswer: q**(-3775\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/7))**(-2\/33)*(u**(-1))**18*u**(-4\/7)*u**(2\/3)*(((u*u**(1\/4)*u)\/u)\/u)**(-4\/33) assuming u is positive.\nAnswer: u**(-4139\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*i + 2 - 32*i + 3*i to k*i + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*d**4 + 18210*d**3 + 763284*d**2 - 7540336*d + 2091648 = 0. What is d?\nAnswer: -1257, -52, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 176 is divided by 64.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 849223?\nAnswer: 849223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - (3 - 2)*0. Suppose r = -55*j + 51*j - 8. Sort -26, -3, j.\nAnswer: -26, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from lnklrkd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 556 = 4*n, 5*v = -n - 105 - 52. Let c = n + 268. Let q = -89 + c. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/((9350\/(-66))\/(-25)).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 - 2*q - 5. Let p be m(0). Let n be 2\/(-9)*(-9 + 42\/4). What is the smallest value in 1, -8, p, n?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/12 - 44\/6. Let c = a - -11. Solve 5*v = -4*m - 4, -6 = -3*v + c*m - 34 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -168, -256, -356, -474, -616, -788, -996?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/64 and -9\/731032.\nAnswer: 5848256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5*r + 4*r - 1)*(-r - r - r).\nAnswer: 3*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 26 - 3 + 20 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -722754868 rounded to the nearest one hundred thousand?\nAnswer: -722800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -13\/1720596?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*g**3 + 9*g**2 - 5*g**4 - 3*g**2 - 4*g**3 wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -0.01599\nAnswer: -0.003198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-5)*(-4275)\/(-380)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 402 (base 5) to base 14\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167222 is divided by 4602.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-3)\/(-9))\/((-7)\/3 - -2). What are the prime factors of ((-32)\/(-12))\/(1105\/(-1110) - o)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**6\/(z**(-6)*z))\/(z**(-1\/2)*z**(-5\/2)) assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bnaauu. What is prob of sequence bu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -5 + (5 - (500\/36 - 10))\/(8\/52)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -1, -170, -7 in descending order.\nAnswer: -1, -2, -7, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -58 + -6. Let g = 67 + m. Let i = -13 - -14. Solve -7 = 4*c + 2*q + i, -q = c + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6557 is divided by 3267.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59897701, -59897703, -59897705, -59897707, -59897709?\nAnswer: -59897711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - (-18)\/(-4))*464\/(-812). Suppose r = -2*p, -2*i - 27*p = -31*p - 11162. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -178, -1, 0.6, 274\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 341273917620 + -3274523235693483\/9595. Let d = 872\/505 + t. Let x = 405 - d. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yi when two letters picked without replacement from {g: 3, i: 6, w: 1, d: 1, y: 2, l: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 + 0)*13\/(-13). Suppose 2*u - 8 = -2*y, -g*u - u = 2*y - 12. Suppose u*p + 5*c = 152, -3*p + 6*p - 3*c - 141 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18 in 0.2, 0.1, 1, -0.0522?\nAnswer: -0.0522","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add together 23.043 and 0.003936677.\nAnswer: 23.046936677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the first derivative of -2*r**2 + 104*r - 2124. What is l(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 2228 = 2*g, -8*g - 2*u + 5618 = -3*g. Let z be g\/15 + (-7)\/(-35). Suppose 6*n - z = n. Solve 4*m + 7 = -5*r, -4*r = -r - 4*m - n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -102 + -51?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 37 + -62. Let r = -23 - l. Let v(y) = r*y + 5*y + 10*y - 4*y. Let b(o) = -2*o**2. Give v(b(u)).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1479705 times -0.1\nAnswer: 147970.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 a when three letters picked without replacement from lvllvllvllalawlval?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -692*c + 267*c - 538*c.\nAnswer: -963*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 19*o + 108 + 4*o**3 + 6*o - 2*o - 10*o. Let u(y) = y**3 + 1. Let z(v) = r(v) - 2*u(v). Differentiate z(i) wrt i.\nAnswer: 6*i**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 602595 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 144421 + 3345?\nAnswer: 152210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (72 + -74)\/(4\/4). Let b(i) = -2*i**2 + 6*i - 1. Let n be b(6). Let t be (-8)\/(-28) + n\/7. Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f + 5*l = 193, 3*f - 46*l + 45*l - 100 = 0. What is the remainder when 810 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 - 0. Let u = 4.14152 + -0.14152. What is the closest to 1 in w, u, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.471 times -24680?\nAnswer: -11624.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.2 - 13.8. Let n = -13.8 - r. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of -h**5\/10 + 41*h**4\/12 - 19*h**2 - 9*h - 4. What is the derivative of u(f) wrt f?\nAnswer: -6*f**2 + 82*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -140 divided by -140?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g. Suppose -2*n = -3*n - 3. Let r be d(n). Solve 0 = -i - a + 4, r*i + 5*a - 16 = -0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**3\/4 + 1305*x**2\/4 - 68121*x\/4 + 951171\/4.\nAnswer: -3*(x - 377)*(x - 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a second in microseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of -25*x**9\/168 - x**7\/35 - 47*x**5\/10 - x**3\/6 - 705*x**2. Find the third derivative of p(q) wrt q.\nAnswer: -9000*q**3 - 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**14*y\/(y*y*y**(-2\/19)))**(-7\/3) assuming y is positive.\nAnswer: y**(-581\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, x: 6, k: 2, b: 2, s: 3}. What is prob of sequence xsj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -y - 5*m + 6, -5*y = -m + 22. Let c(w) = 2*w**2 - 4*w - 5. Is c(y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(-4)\/16*-4. Let q(c) = 2*c**2 + 2*c - 2. Let t(u) = -1. What is p*t(s) + q(s)?\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * 3395624.\nAnswer: -10186872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.953742 weeks to milliseconds.\nAnswer: 576823161.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor t**2 + 955*t\/8 + 2793\/8.\nAnswer: (t + 3)*(8*t + 931)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 0*x**2 + 3 + 39*x**2.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**3 + 12*t**2 - 10*t. Calculate h(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -76 - -305\/4. Let r(j) = 3*j + 6. Let u be r(-4). Which is the nearest to u? (a) 0.1 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 36774.5 + -36774. Put -1036, a, -0.1 in increasing order.\nAnswer: -1036, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -506269.386 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(156)*-6 - sqrt(156) - 5*(sqrt(156) + sqrt(156) + 1*sqrt(156) + sqrt(156)))\/(4*sqrt(432) - sqrt(432) - -1*sqrt(768)).\nAnswer: -9*sqrt(13)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + o - 3*b - 6, 0 = -4*o - 2*b - 4. Suppose o*v + v - 137 = -2*p, v = -4*p + 279. What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - 7. Let u = -87 + 92. Let o = -56 + 67. Solve -q + o = u*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -0.0914912?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -32951*f. Let b(i) = 3*i**2 - 19. What is b(y(k))?\nAnswer: 3257305203*k**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 3*u - 64 = 3*v, 3*u + 62 = -4*v. Let q = -5 - v. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1387155 divided by 35?\nAnswer: 39633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8965 is divided by 374?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 - 9*i + 2. Let z be y(-10). Let r(m) = 7*m**2 + m**3 + 14*m - 3*m - 2*m**2 - 2 + 5*m**2. List the prime factors of r(z).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1161 + 373*l + 583 + 578 to u*l + b and give u.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 280 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 622603, 1245552, 1868501, 2491450, 3114399?\n\"Answer: 622949*h - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*l**3*w**2*z**2 - 96*l**3*w**2*z + l**3*w*z**2 + 2*l**3*w - 3*l*w**2*z + 11*z**2 wrt z.\nAnswer: 22*l**3*w**2 + 2*l**3*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 262 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -111129*m - 5*i = -111127*m - 50, 41*i - 410 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**3 - 3*o**2 - 7*o - 1. Determine z(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -349*z**3 + 668*z**3 - 932*z - 320*z**3 + 932*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -16 + 61*l**3 - 61*l**3 - 16*l**4 + 0 wrt l?\nAnswer: -64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6254, 12099, 18146, 24497, 31254?\n\"Answer: 17*p**3 - p**2 + 5729*p + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 2*t + 3. Let l = -7 - t. Let b(x) be the second derivative of -x**4\/4 - x**2\/2 + 4*x. What is b(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/1312 and 28\/381.\nAnswer: 499872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c - 9828 = -21*c. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(((0 + sqrt(275) + -1 + 2 + sqrt(275))**2 - (3 + 3 + sqrt(275) + 0 + sqrt(275))**2) + -1).\nAnswer: 144 + 400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l**3 + 3*l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 3*h**3 + 1 + 30*h + 2*h**3 - 31*h as n + w*h**2 + x*h**3 + m*h and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -214765 - 1.810862.\nAnswer: -214766.810862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 11 = 5*r, 3*r + 7341*w = 7344*w + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 168 divided by -1?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2025)*1*-1 - 1*sqrt(2025)*-4)\/(-5*-2*sqrt(5445)).\nAnswer: 9*sqrt(5)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0, -16, 38, -5 in descending order.\nAnswer: 38, 5, 0, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**3 + 3*b**2 - 4*b + 1. Let j = -6 - -4. Let w be j\/3 + (-20)\/6. Let p be a(w). Is 2\/5 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) 0.4 (c) 4 (d) 3\/2629 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**3 - 23*c**2 - 27*c + 74. Let d be s(24). Solve 3*v = 3*z + 18, d*z + 5*v + 10 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1048038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-2\/9)\/w)\/w)**(-20) assuming w is positive.\nAnswer: w**(400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.092 - 3.092. What is the second biggest value in 1, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*z**2\/3 + 354438*z - 265828\/3.\nAnswer: -2*(z - 132914)*(4*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-3))\/((-10)\/(-3))*10\/32.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 8*j**2. Let v(p) = 7553 + 8*p - 7553. Give v(i(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 396 - 153. Suppose 6*t = -y + 1005. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 1696?\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 4*a = -28, a + 332 = 5*j + 357 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43 + (-19 - 16) - (-5 - -133 - (5 + -14)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*h - p - 3*p, -16 = -4*h + 2*p. Find the first derivative of -2 - 4 + 7*l**3 + h - 3*l**3 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (1*(sqrt(784)\/sqrt(8) + -3) + -5)**2.\nAnswer: -112*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the third derivative of -5\/6*c**4 + 0*c**3 - 1\/12*c**5 - 5*c**2 + 0*c + 0. Factor t(k).\nAnswer: -5*k*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 146989231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1151 = 3*a + 236. What is the remainder when a is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -636898 or -307?\nAnswer: -636898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(4\/3))**(-29)*(i**(-3\/4)\/i)**(-35\/4))**12 assuming i is positive.\nAnswer: i**(1199\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 6 = -3*z, 0 = 4*v + 2*z - 4*z + 18. Let q(d) = d**2 + 8*d + 8. What is q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -127, -500, -1119, -1978, -3071, -4392, -5935?\n\"Answer: x**3 - 129*x**2 + 7*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 51 and 78.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -19113991.\nAnswer: 1\/19113991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5240688372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9666*c**2 + 27522*c**2 - 9673*c**2 - 8126*c**2.\nAnswer: 57*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 344*82\nAnswer: 28208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -341, -523, -835, -1283, -1873, -2611?\nAnswer: -3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, g: 2}. Give prob of sequence ggll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 206 divide 16068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 44\/5 of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 500403107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49772 is divided by 16590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14356 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*v + 29 = -229 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6020 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 0 + -42 + 39.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 21719.25848 and -0.58.\nAnswer: 21718.67848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1136, -2895, -5280, -8297, -11952, -16251, -21200, -26805?\n\"Answer: -s**3 - 307*s**2 - 831*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -1 - (2 + 1 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000135319 rounded to 7 decimal places?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*c, 2*m + 4*c + 4 = 6*c. Let j be -1*(5 + -4) - (-3)\/m. Suppose 2*v + i = j*i + 835, 0 = 3*v + 5*i - 1272. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -11*x**2 + 167*x - 30. Let u be p(15). Solve -5*c - 3*l = 25, u = -3*c + c + 3*l + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 - 4*6\/(-3). Let h = -6 + s. Differentiate 3 + h*d**3 + 0*d**3 - 1 wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 5:34 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1))**(-10)\/(s**2*s**(-4\/7)) assuming s is positive.\nAnswer: s**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -0*d. Let h be 2\/(12\/5 - 2). Suppose 3 - 23 = -h*i. Solve -i*t - 2*s = -8, s - 2 = -d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 328 a factor of 305039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-8 - -18 - 14) - -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1489 + 1486. Put -5, 13, 0, y in decreasing order.\nAnswer: 13, 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-27)\/(-6)*(-18)\/(-324)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.2572 + 43.0148. Round l to one decimal place.\nAnswer: 43.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -23386, 5, 4, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 33.0000385 + -33. Round k to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -511, -1117, -1881, -2881, -4195, -5901, -8077?\n\"Answer: -13*g**3 - g**2 - 512*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 5*t - 24 = 0. Let j(r) = -676*r + 1. Let d be j(-4). Suppose -t*b + d = -b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -117, 0, 3, -4, 24895.\nAnswer: -117, -4, 0, 1, 3, 24895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -33.796 + 33.596. Let f = -21 + -1. Which is the nearest to f? (a) 0.3 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/332830 and 97\/4880?\nAnswer: 162421040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from hmdqdqhhqqd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = d. Let a(u) = u**2 + u - 4. Let h be a(-3). Suppose 5*q - 5*f = -70, 7*q + 63 = h*q - 2*f. Put q, 4, d in ascending order.\nAnswer: q, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 104 a factor of 76788504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6599347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -22348 (base 11) to base 15.\nAnswer: -98c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand a**5 + 5*a**3 - 5*a**3 + (-a**3 + a**3 + a**4)*(18*a - 7*a - 9*a).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 31 - 31. Let p = x + -0.3. Put p, 6, -0.1 in descending order.\nAnswer: 6, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 2*w = -3*x + 376, 0 = 3*w + 6. What is the least common multiple of ((-4)\/(-16))\/((-65)\/(-3120)) and x?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 2 - 25*h + 34*h as y + a*h and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -11*l**2 + 9*l**2 + 3 + 3*l - l. Give w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 383, 771, 1147, 1505, 1839, 2143, 2411, 2637?\nAnswer: 2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 482732192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9 - -5. Which is the nearest to 1\/4? (a) -0.15 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 + 1. Let a = 17 - s. Let q = -32 + 55. What is the remainder when q is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -s*z**2 + 137067*s - 90789*z**2 wrt z.\nAnswer: -2*s*z - 181578*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - w = -3*w + 28, -2*w = 5*j + 20. Let g be 4\/42*(-9)\/(-12)*j. Sort 5, -1, g, 0.4.\nAnswer: -1, g, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, j: 1, h: 2, v: 1, w: 1, c: 1}. What is prob of sequence cwv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1499\/9 - 167. What is the closest to p in 1\/3, -3\/2, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 185 + -128. Suppose -4*x + 4*v = -148, -48 - s = -3*x - 3*v. Let k be 0 + (1 + 0 - -8). What is the highest common factor of x and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c**2 - 3*c**2 - c**2)*(-1 + 2 - 6) + (-2 + c + 2)*(-855*c - 321652 + 321652).\nAnswer: -845*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1881862 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 10, 34, -10, 0, -3 in ascending order.\nAnswer: -10, -3, 0, 10, 13, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-4)*((t*t\/(t\/(t\/t**(-2))))\/t)\/t)**(-34\/3) assuming t is positive.\nAnswer: t**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r + 3 + 7. Let k be r\/6 - (-4)\/(-6). Let a be (k\/(-12))\/(1\/3). Put -5, a, -1 in decreasing order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 135 = 2*r + 3*u + 95, -4*r - 32 = -2*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -176*l + 209*l - 19 = 47. Let w(t) be the first derivative of -9\/2*t**l - 2 + 12*t. What is the derivative of w(k) wrt k?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -9 - w + 3 + 2*w. Let p be n(6). Let k(i) = i**3 + 14*i**2 + 31*i - 82. Let a be k(-6). Solve -2*r = -3*c - 5, p = -3*r - 4*c + 3*c - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1c2358 (base 14) to base 12.\nAnswer: -4056b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c = 4*c + 488. Does 8 divide c\/10 - 4\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7343*x**3 + 25*x**2 - x + 3 wrt x.\nAnswer: -44058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1244 is divided by 407.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -10 + -246040?\nAnswer: -246050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6077, 24662, 55627, 98978, 154721, 222862, 303407?\n\"Answer: t**3 + 6184*t**2 + 26*t - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c8317 + -7?\nAnswer: c8310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -97143, -388564, -874261, -1554234, -2428483, -3497008?\n\"Answer: -97138*r**2 - 7*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 - -1011100?\nAnswer: 1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -45*g**3 + 6*g**2 - 6. Let p(r) be the third derivative of 1079*r**6\/120 - 143*r**5\/60 + 143*r**3\/6 + 2824*r**2. Determine 143*k(o) + 6*p(o).\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 79 + 12 + -8 + (-9 - -24) + (4 - 19).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 850107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-2 + sqrt(396) - sqrt(396)) + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d + 1. Let n(s) = -s**3 - 6*s**2 - 5*s - 6. Let b be n(-5). Let y(w) = -8*w + 2. Let z(x) = b*o(x) + 2*y(x). Give z(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 302 + 337 = -q. Let j = -186 - q. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (r - 6*r + r)*(0 + 0 - 1)*(-r**3 - 3*r**3 + 0*r**3) + 1219*r + 150*r**4 - 1219*r.\nAnswer: 134*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -5080, -107, 51 in ascending order.\nAnswer: -5080, -107, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1215 - -1210. Which is the nearest to 0? (a) 2 (b) r (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 50, -102, -254, -406, -558, -710?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61396383 is divided by 2576?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2263, -8341, -18477, -32671, -50923, -73233, -99601?\nAnswer: -130027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the first derivative of n**4\/6 - n**3\/3 - 5*n + 3. Let i(h) be the first derivative of m(h). Find w such that i(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18604130.\nAnswer: 2, 5, 71, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 816.05601 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes after 1:48 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.092 - 0.508. What is the second biggest value in 0.3, 9, -4, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -4 + 0 + 4 - 2. Let p(y) = -y**2 - 9. Let g be 6\/1*6\/4. Suppose 2*o + 24 - 14 - 6 = 0. Give g*v(k) + o*p(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 16 (c) -13 (d) -5 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2187, -8760, -19771, -35226, -55131, -79492, -108315, -141606?\n\"Answer: -q**3 - 2213*q**2 + 73*q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -199, 3\/7, -7, -3?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 2*a**2\/7 + 5920*a\/7 - 624648\/7 = 0.\nAnswer: -3062, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 3666549, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes after 11:36 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-143)\/(-99)*-6*3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*z + 2*z - 4*z + (1 + 2*z - 1)*(0 + 3 - 1)*(-5 - 2 + 3) - 10*z + 17 - 17 + (-2 - z + 2)*(-5 + 1 + 2) to the form s*z + q and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 8*m + 22 + 2*m**2 - 3*m**2 - 50 + 18. Let t be o(4). What is the biggest value in -5, t, -1\/5, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f = 2*f - 16. Suppose -2*c + 5*p + 23 = 8, -f*c + p = -19. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 7031 and 28 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w - 12. Let x be k(-14). Suppose x*g - 4 = -0*g. Suppose 4*d - 600000 = -g*d. Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*u - 15*u - 120932 = -5*r, 0 = -4*u + 5*r + 241834. What are the prime factors of u?\nAnswer: 103, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 + (-3)\/2)\/((-11)\/7326). Suppose -4*w = -b + v, 2*w - 37 + 1026 = 3*b. Suppose 32*h = 33*h - b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (72\/2520*20)\/((-16)\/616).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times 37854?\nAnswer: -15141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 75053105 to the power of 1\/2, to the nearest integer?\nAnswer: 8663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 37*w**2 - 751*w**3 + 22*w**2 + 757*w**3 - 3.\nAnswer: 6*w**3 - 15*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77871?\nAnswer: 3, 101, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -91044018*p**4 - 4279014870*p**3 + 4372649728*p**2 - 2591224*p + 384 = 0.\nAnswer: -48, 2\/6747, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -112*o**2*y**2 + 248*o**2 - o*u + 28*o + 28249*u*y**2 + 4*u*y + 3*u - y wrt y?\nAnswer: -224*o**2 + 56498*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -18 + 62. Let b(s) = -s**3 - 4*s**2 - 3*s. Let u(l) = -2*l**3 - 7*l**2 - 5*l. Calculate q*b(p) + 6*u(p).\nAnswer: -p**3 + 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the first derivative of k**3\/3 - 2*k - 1. Let j be t(-2). Suppose -7*d + 3*d = -5*r - 11, j*d - 2*r - 8 = 0. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 6 + 2*r - 11 - 4*r**2 + 4*r**4 - 6*r**4 + r**3 - 2 to the form g*r**2 + t*r**4 + z*r**3 + d*r + s and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -5*s**4 + 3*s**4 + 5*s**4 - s**4 - 3*s**4 + s**4 + (4*s - s - 2*s)*(5*s**3 - 4*s**3 + 0*s**3) as i*s + c*s**2 + z*s**3 + l*s**4 + p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -3*q - 4. Suppose -2*j - 9 = j. Let t be f(j). Solve 5 = t*v, 0 = b + 3*b - 4*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 - -25 - -8 - 29?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s = -5*s - 4. Suppose -u = 2*u + 3. Let k be (1\/s)\/(u\/1). Is 2\/5 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(3\/13)\/t**21*t*t*(t**(-8)*t)\/t*t*t**(-1\/17) assuming t is positive.\nAnswer: t**(-5708\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*a**3 + 3790*a**2 - 22920*a.\nAnswer: 5*a*(a - 6)*(a + 764)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 + 0)*-2 - -191. Let x = -63 + b. Suppose -19*o + 17*o = -x. What is the remainder when o is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*s - 294*s + 226*s + 26*s + 26*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 8.837451ml?\nAnswer: 0.008837451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -2*a + 2970, -11 = -3*a + 1. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqccvddcsdsdddc. What is prob of picking 1 v and 1 c?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23293 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -85.96 - -86. Which is the third biggest value? (a) -0.2 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 304\/3 (c) -1\/3 (d) -3 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 139202017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 525\/2 + -2557\/10. Let s = 103\/10 - i. Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -65\/248 and 47\/43?\nAnswer: 10664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 16383881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ehhmhyhhnhhhehhmm. Give prob of sequence ehn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -45*t + 507. Calculate n(9).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 464568 and 15366.\nAnswer: 91519896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*f**3 - 2*f**3 + 2*f**3 + (f - 4 + 4)*(4*f**2 + 3*f - 3*f) to x*f**3 + p*f**2 + j*f + v and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -45 + 43. Which is bigger: -7\/8 or x?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0, 1\/5, -1\/3, -1.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 405489107 to the nearest integer?\nAnswer: 20137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 + 6*t**2 + 4*t + 3. Let m be b(-5). Suppose 5 = k + m. Is -4 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 14 (b) 291 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*b + b - 4660 = 0. Let q = 418 + b. Which is smaller: q or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 817457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -0.078 (c) 4 (d) -2\/75 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*r + 105 - 1 = 0. Solve 5*l + u - 11 = -2, 4*u = 2*l - r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2122322 - 8?\nAnswer: -2122331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 369389?\nAnswer: 521, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60154 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-167)\/(-1670))\/(2\/5)*(-1)\/(-2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**3 - 8*y**2 - 3*y + 7. Give k(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-372)\/1240)\/((-7)\/140)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(95\/(1805\/(-114)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -3*t**2 - 1. Let w be h(-1). What is the common denominator of 790\/105 + w\/6 and 91\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 42461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -984*j**2 - 61*j.\nAnswer: -1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -27 (b) -0.21 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -5*p**2 - 3*p - 3. Suppose 3*i = 3 + 9, 0 = 5*m - 4*i + 31. Let a(s) = 6*s**2 + 4*s + 4. Give m*a(b) - 4*d(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of g**4\/4 - 6*g**2 - 60*g + 81. Differentiate b(h) wrt h.\nAnswer: 3*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11624, -24089, -37636, -52805, -70136?\nAnswer: -90169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -20*z**3 + z**2 + 3*z + 2. Let m be a(-2). Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 1 - 3)*(-429 - 682 - 408)*(4*y + y - 3*y)*(3 + 13 - 6) to the form d*y + z and give d.\nAnswer: 30380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, 73, -30, 26, -6 in descending order.\nAnswer: 73, 26, 2, -1, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2\/9)*q*q**(3\/7)*q*(q**(-3\/8)*q*q)\/(q*q\/(q**4*q*q*q)))**(-22) assuming q is positive.\nAnswer: q**(-48961\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11.339091*-5.\nAnswer: -56.695455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0507371404 to six decimal places.\nAnswer: 0.050737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -1, -10, -5 in ascending order.\nAnswer: -10, -5, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1\/4)\/((-7)\/(-812)). Suppose 5*g = 5*a + 5, -3*a - 5*g + c = -0. Solve -a*b - 11 + 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 132273 and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ivsxsls. What is prob of sequence isvs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-6808)\/518*35\/(-120)*2\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/7))**(-2\/61)*(s**(-2)*s*s)**(-9\/8) assuming s is positive.\nAnswer: s**(-2\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence as when two letters picked without replacement from {k: 1, a: 1, s: 1, w: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -22\/1325 (b) 3 (c) 0.1 (d) 117\/17 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -11329.5 minus -0.1?\nAnswer: -11329.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 4*i**2 + 6*i + 3. Let t(v) = -v**2 + v + 1. Let q(s) = -o(s) - 3*t(s). Let h be q(-8). Let g = h + 5. What is the least common multiple of 10 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 + 17*q**2 + q - 12. Let n be o(17). Suppose -n*k = 2*m - 4*m - 104, 0 = 4*m + 8. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -2525, -4929, -7333, -9737, -12141, -14545?\n\"Answer: -2404*x - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0487 + 0.1.\nAnswer: 0.0513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*j + 1 - 1)*(3*j**3 - 26*j + 26*j + 3*j**3 - 5*j**3 + 0*j**3 - 4*j**3 - 2*j**3 + 5*j**3 + (j + 2 - 2)*(-j**2 + 0 + 0)) + 4*j**4 - 5 - 3*j**4 + 6.\nAnswer: 6*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from dppmftmd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9.244 - 0.056. Let v = h - -9. What is the third biggest value in -0.5, 2, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -67 + -6. Let j = 134 + m. Suppose -4*b = 4*z - j - 3, 4*z - 32 = 4*b. What is the biggest value in 0.3, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 PM and 7:20 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-18) + 1)\/(4\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -39770 and 0.02?\nAnswer: 39770.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32 - -40. Suppose 4*b - 5*b = t. Suppose -2*l - 2*j = 14, 4*j - 5 = -j. Is b at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 505 + -326. Let s = -124 + x. What is the highest common divisor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 2\/15 (c) -8 (d) -3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1311460, 2622921, 3934382?\nAnswer: 5245843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes after 3:55 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 39020182 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 225 + -13?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -71 - 2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**2\/c)\/c**(2\/35))\/((((c\/c**9)\/c)\/c)\/c**(-10)) assuming c is positive.\nAnswer: c**(33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the first derivative of -10*r**3\/3 - r**2 - r + 36. Calculate l(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/58, 1, 388, -26 in descending order.\nAnswer: 388, 1, -5\/58, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 91 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/9 in 2\/23, -4, -1\/3, 0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + 4)\/(8\/68). Let z = -30 + d. Let n(f) = -11*f**2 - 9*f - 9. Let b(p) = -58*p + 3*p**2 + 36*p + 5 + 27*p + 3*p**2. What is z*n(t) + 7*b(t)?\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the second derivative of 49*r**4\/22 - 140*r**3\/11 + 300*r**2\/11 - 13*r - 1. Suppose h(n) = 0. Calculate n.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -97 + 75. Let c be 19356\/p + (-276)\/66 + 4. What are the prime factors of -5 + (-7)\/(35\/c)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 11 + 1 = 0. Calculate the common denominator of -47\/4 and -1 + (32\/(-36))\/w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -13813, 2\/11, -3?\nAnswer: -13813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 95*a**2 + 70*a - 140. Determine p(2).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 80 = -o. Calculate the smallest common multiple of o and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1895 + -2844. Is -950 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 16483*n - 82415. Determine r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 + 2*u - 359. Let n be 1\/(-5) - ((-2)\/(-10))\/(-1). Let z be l(n). Let v = -211 - z. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 2)*(-1 + 4 - 1)*(0*p - p + 7*p)*(-2*p**4 + 2*p**4 + p**4).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 17 = -2*y, y - 24 = 3*s + 8. Let n(m) = m**2 + 5*m + 22. What is the tens digit of n(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 48.9151 + -0.0151. Let n = -8.431 + 8.431. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 17 - 15 - (1 + -35). Suppose 2*p - 42 - o = 0. Solve -9*n = -12 + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78 - (-5 + 1 - (45 + -89 - -35))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1120 + 1117 + 3*w**2 + 11*w**2.\nAnswer: 14*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - (-4)\/(-8))*12\/30.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 285261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 566492293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5\/14628 or -0.012?\nAnswer: 5\/14628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -63 by -5829.\nAnswer: 21\/1943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36)\/sqrt(3)*-3)\/sqrt(4).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -339, -201, -63?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 1674*s**2 - 588. Let t(f) = -3*f. Give n(t(w)).\nAnswer: 15066*w**2 - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.075 in -5, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -173444*j + 116. Let n be x(-11). Suppose 13*q - n = 7*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 10 (b) -2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 16*(-21)\/30*-15. Does a = 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.2 and 19.7.\nAnswer: -23.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 140 = 3*l. Let z(w) = 57*w + 180. Let v be z(-3). List the prime factors of (105\/l)\/(v\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14701.8 + -14702. Which is the nearest to 48? (a) 5\/4 (b) f (c) 0.03 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 420 = -7*d. What is the highest common divisor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 1.2 and -4.35.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 44*f + 6 + 42*f - 85*f. Suppose -13 = -d - 4. Suppose 5*g - d*g - 24 = 0. Calculate y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqy when three letters picked without replacement from {y: 4, q: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2156327, 2156306, 2156287, 2156270, 2156255, 2156242?\nAnswer: 2156231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s + 2*s + s)*(2*s + 0*s - 4*s + s + s - s + (2*s + 0 + 0)*(-1 - 2 + 5) - s - 1 + 1 + 3*s - 6*s + 2*s + 3 - 3 - 3*s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -1125*n + 548*n + 585*n + 296 as a + u*n and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.9 + -1.2. What is the nearest to -1.8 in 0.5, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 0*o + 11 = -2*o, -4*o = 4. Suppose 11*a = q*a. Suppose a*p = 3*p - 102. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((1 + sqrt(75))*1)**2.\nAnswer: 10*sqrt(3) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.055976 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, 7, 25.19 in ascending order.\nAnswer: -1\/6, 7, 25.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bebbpppppbp. What is prob of picking 3 p?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 take away -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**3 - u. Let o be ((-4)\/(-1) - 1)*-1. Let b(x) = x. Let p(n) = o*b(n) - g(n). What is the second derivative of p(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -15, -0.4, 0, -0.6, 1, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 14331911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1, 38.28, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19995 and 162153.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -2*z - 3. Let g(b) = b + 2. Let v(w) = -2*f(w) - 5*g(w). What is v(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 PM and 12:25 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + 67*i**2 - 75*i - 282. Determine u(-68).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*n, 4*n - 6*n - 8 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g - 3. Let w be x(6). Suppose -o - 4 = -5*o. Let z be (1\/(-4) + o)\/w. What is the closest to 0 in 0, z, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -923 - -923.1. Let y = -11700 - -47045\/4. Let g = 61 - y. Which is the second biggest value? (a) g (b) 1 (c) 3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z + 294. Let m(a) = a. Calculate m(k(d)).\nAnswer: d + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -20*b + 34. Give a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*r = -19*r - 99. Suppose 5*u - 4*g + r = 0, 15 = -u - 0*g + 5*g. Suppose 5*w = -5*q - 15, -2*w - w - 1 = 5*q. Put w, 2, u in decreasing order.\nAnswer: 2, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 63 times 5\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 AM and 2:15 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 58.58 and -340.339?\nAnswer: 398.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -591788631, -591788633, -591788635, -591788637, -591788639, -591788641?\n\"Answer: -2*s - 591788629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i + 2*i**4 + 0*i + (3*i - 2*i + 0*i)*(5*i**2 + i**3 - 5*i**2) + 2*i**3 - 2*i**3 + 2*i**4 - i**4 + 1 - i**4 + 14*i**4.\nAnswer: 17*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*v + 37 + 35 = 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, -19, 1 in ascending order.\nAnswer: -19, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 4*(sqrt(68)\/sqrt(4) - sqrt(17)) + ((sqrt(1088) + 0)*4)**2.\nAnswer: 17412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 7 + 3*n - 5*n**2 - 4*n + 4*n**2 - 1. Let l(p) = p**3 - 12*p**2 + 11*p + 7. Let y be l(11). Suppose -5*q + 5 = c, 3*q + 4 - y = 0. Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + -9881637?\nAnswer: -9881642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z**4 + z**4 + z**4 + (0*z - 3*z + z)*(-z**3 + 0*z**3 + 2*z**3) + 2*z - 2*z + z**4)*(-12*z + 6*z + 2*z).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -29 less than 115.96067?\nAnswer: 144.96067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*110\/(-60))\/(6*(-7)\/(-84)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 95 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + v + 5*b + 8 = 0, 3*v - 3*b = 12. Suppose v = s + s. Let g = 26 + -12. What is the greatest common divisor of s and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*i**2 - 88*i - 447 wrt i.\nAnswer: 4*i - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -3*p - 21, -2*p - p - l - 13 = 0. Let r = -0.3 - -0.2. Which is the fourth biggest value? (a) 4 (b) -0.4 (c) r (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-28)\/16)\/((-2)\/264). Suppose 139 = 3*q - i + 3*i, 0 = -5*q - 4*i + g. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 PM and 2:09 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -269\/5 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 23 + (-14 + -4 + (-16 - -27) + 1 - -16)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2655264998 to the power of 1\/2, to the nearest integer?\nAnswer: 51529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 155, 443, 45, -3\/2 in decreasing order.\nAnswer: 443, 155, 45, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 3*b**3 - b**3 + 5*b**2 + b**2 - b**3. Let v be i(-5). Suppose -2*o + 18 = 5*u, 3*o + 5*u - v = 8*o. Is o smaller than 4\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0902669 to 5 dps.\nAnswer: 0.09027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/(-4) + 70\/34. Let w = u - 89\/68. Let x = -0.09 - -0.06. Which is the closest to -1? (a) 0 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*p = 65*p - 84. Suppose -2*m + 2*n = -5*m + 21, p = 4*m + n. Suppose -5*w = -8 - m. Solve s + 2*y = -8 + 3, 5*s + w*y + 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 43*b - 13 + 13 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-106)\/(-14) - 552\/(-1288) - 10. Let n be 1 + -2*2\/12. What is the closest to 1\/3 in o, -2\/5, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 3, -3, -2, 0, 63 in descending order.\nAnswer: 63, 15, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - k + 48. Suppose 0 = 5*a - k - 4. Let s(m) = 12*m**2 - 4*m**2 - 5*m - 6*m**2 - 2. Give s(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(20\/90)*(-6)\/(-63)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 6 = 2*i, -v + 3*i - 8*i = 9. Let y(l) = 3*l**3 + 5*l**2 + 3*l + 4. Let u(p) = 2*p**3 + 4*p**2 + 2*p + 4. Give v*y(j) + 5*u(j).\nAnswer: -2*j**3 - 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 2, -2 in increasing order.\nAnswer: -2, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2*m**2 - 13*m + 3. Let y be f(2). Is -102\/7 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**3 + 4*h**2 + 3*h. Let z be s(-2). Suppose z*c + 2 = 4. Is c <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1533935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 12925376 and 4.4?\nAnswer: 56871654.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**5 + c**5 - 2*c**5 + (-c + c**2 + c)*(-2*c**2 + 2*c**2 - c**3) + c**5 + 2*c**5 - 5*c**5.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 66\/(-11)*(-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = 5*y - 33, -45*y + 40*y - 6*d - 37 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 252, 1090, 2530, 4584, 7264, 10582?\nAnswer: 14550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 + -1)*(-2 + -2). Factor 41*h**3 - 13*h**b - 50*h**2 - 4*h - 2 + 5*h**2 + 23*h.\nAnswer: -(h - 1)**3*(13*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 75\/2, 5, 1\/6, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 796*y**3 + 2*y**2 - 3*y - 1. Is 9 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence djv when three letters picked without replacement from {w: 2, j: 2, v: 1, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, x: 5, a: 1, j: 2}. Give prob of sequence hah.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 30.31, 12.09, -28?\nAnswer: 12.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i. Let u(x) = 2*x - 1. Let l(b) = -3*p(b) - u(b). Let z(q) = -2*q - 6. Let c(o) = -5*l(o) - z(o). What is the first derivative of c(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32410.2 + -11894064.\nAnswer: -11926474.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.558026779 rounded to four dps?\nAnswer: 0.558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 4*q - 14*q + 6*q + (1 - 3 - 1)*(-2*q + 4*q - 3*q) - 3*q + 6*q - q + (3 + 0 - 1)*(-q - 6*q + 5*q) as v + h*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*a**2 + 0*a**2 + 3*a**2)*((-4*a + 4*a - a)*(a - 3*a + 6*a) + 0*a - a**2 + 0*a) to the form f*a**2 + b*a**3 + v*a + s + r*a**4 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 6*m = 68. Let z = m - -12. Is 13 a factor of ((-55)\/z)\/((-1)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert c5b (base 13) to base 15.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the first derivative of -59 + 29\/4*i**4 - 1\/3*i**3 + 3\/2*i**2 + 2*i. Find the second derivative of g(l) wrt l.\nAnswer: 174*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.10938 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-176)\/99*39\/52.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 49 = -5*t - 12, 0 = -5*m + 20. Suppose 3*n - 2*a = 18, -n + 2*a + 1888 = 1874. Solve -t*z = -n*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 48\/(-27) - (-2)\/(-9). What is the remainder when 27 is divided by (10 - 20)\/(n - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8473677 is divided by 38870.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 85, 291, 547, 787, 945, 955, 751, 267?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 25620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -0.08, -57, 2\/11 in descending order.\nAnswer: 2\/11, -0.08, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 38*l**4*y**2 + 3*l**3*y**2 + 2079*y**2 with respect to l.\nAnswer: 152*l**3*y**2 + 9*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003502935 to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*x = -80*x + 36. Factor -1\/3*y**4 + 0*y**3 + 0*y + 4\/9*y**x + 1\/9*y**5 + 0.\nAnswer: y**2*(y - 2)**2*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -22, 1, -30\/23, 5, -2, -8?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*d*q**3 + 97*d - 381433*q**4 - 9*q - 7 wrt q?\nAnswer: -12*d*q - 4577196*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2940*c**5 + 560*c**2 - 5968323*c.\nAnswer: -58800*c**3 + 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3964201 to the nearest integer?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.386, -1\/7, -0.4, 520?\nAnswer: 520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -100, 1, -0.4, 0, 6 in ascending order.\nAnswer: -100, -0.4, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5\/(-30)*-3*-4 - -33. Let 31*f**2 + k*f**2 - 36*f**2 + 6 - 8*f**3 - 22*f - 2 = 0. Calculate f.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 6*l - 2*s + 310, -5*s + 248 = -4*l. Let c = 122 + -162. Let a = c - l. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -298412*h - 46433 wrt h?\nAnswer: -298412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (754727\/(-487567))\/(4\/(-292)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 23*w**3 - 46*w**3 + 22*w**3.\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 5)*(-1 + 1 + x)*(-2*x - 3*x + 3*x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2102221972 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = 2*m - 125, 7*m = 3*m - 20. Calculate the highest common factor of 729 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = u - 22. Let z = u - 8. Let l = 62 - 36. Calculate the remainder when l is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d**2 + 17*d - 16. Calculate the remainder when o(-12) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of a**5\/20 - a**4\/6 - a**3\/3 + a**2\/2 - 18*a - 4. Calculate p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 + 11*s**2 + s + 16. Suppose 4 = 4*w, w = 3*a + a + 45. Let h be z(a). Suppose x = 4*x + h*r - 319, x - r = 101. What are the prime factors of x?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(78)\/(-4*sqrt(42)\/sqrt(7)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, 169056, -73 in ascending order.\nAnswer: -73, 2\/5, 169056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(1\/3)*y*y)**(16\/7)*((y\/y**(8\/5))\/y)\/(y\/((y*y\/(y*y**(-4\/3))*y)\/y*y)) assuming y is positive.\nAnswer: y**(877\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, s: 1, w: 1, c: 3}. Give prob of sequence sy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 76 + 284 = 0. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6377 (base 8) to base 7.\nAnswer: -12462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (-1 - (-17 - -6)) + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1.5*237.7\nAnswer: -356.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 199 is divided by ((-5)\/(-20) - 4)\/((-6)\/80).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6806.0145 - 6806. Is d >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*j + u - 2, 2*u + 20 = -4*j. Let c = 2 + 0. Let m(z) = 7*z + 5 - 2 - 2*z + z**2 + 0*z**c. Determine m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:04 AM and 5:40 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.7530393 + 1.753. What is p rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:44 AM and 6:08 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3760 + -11278\/3. Which is the closest to -1? (a) -20\/3 (b) 0 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4 - (0 - (1411 - -1)). What is f rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4177292 is divided by 1044316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**2\/11 + 136*r\/11 - 512\/11.\nAnswer: -2*(r - 64)*(r - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 26 = -22. Is (-296)\/(-2) - 3*a\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55195 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -4 + -3*(5 + 1 + sqrt(1584) + (sqrt(1584)*-2*-6 - sqrt(1584)))*4*3)**2.\nAnswer: 2229120*sqrt(11) + 295658641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (11\/(-11))\/(4823\/77). Is v >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52928.26 litres in millilitres?\nAnswer: 52928260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**2. Let q(x) be the second derivative of 32*x - x**4 - 4*x**3 - 8*x + 4*x**3. Determine p(q(w)).\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - -1. Let c(l) = l**2 + 3*l + 2. Let p be c(-3). Find the second derivative of -5*z**2 - m*z + 3*z**p + 4*z**2 wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of s**3\/3 - 3*s**2\/2 + 2*s - 1. Let o be r(2). Suppose -5*z + 35 = -5*v - o*v, 1 = v. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 112*c + 21594 = 13*c + 19218 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 2*w**2 + 7 - 15 + 0 + 12.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 4, 4\/7, -6, 245, 6\/7, -5 in decreasing order.\nAnswer: 245, 4, 6\/7, 4\/7, -2\/9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let b = 11384784.999928 + -11384822. Let o = -175 + 138. Let g = o - b. What is g rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -755, -1522, -2289, -3056, -3823?\nAnswer: -4590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3*d**2 - 2*d. Let b be u(2). Suppose w = 4*r + 23, 5*r = 4*w - b*w + 50. Does 7 divide 2 + 5\/(w\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:20 PM and 6:54 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165 + 276 = 7*o. Let h be (-2 + o)*(4 + -3). What is the highest common divisor of 122 and h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**14\/(w\/((w*w**(1\/8))\/w)))\/(w*w**(-10)*w**(12\/5)))**(14\/9) assuming w is positive.\nAnswer: w**(1841\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + -3 + (5 - (0 + 2 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7457.\nAnswer: 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66743059 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwzwwwwwwswvysvzzyw. What is prob of picking 1 v and 2 z?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 794019665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -136761331 not equal to -136761331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -2*h**3 + 80*h**2 + 135*h + 152. Calculate c(42).\nAnswer: -1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is next in 78, 140, 240, 396, 626, 948, 1380?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 89303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 3\/8251 (c) -16830\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -48*t**5 - 61*t**5 + 235*t**5 + (1 + 0 - 3)*(-1 + 1 + 2*t**5).\nAnswer: 122*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x - 3*x. Suppose x = 4*s - 67 - 1. Solve -4*o + 18 = -2*a, 4*a + 5*o = -s + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 814 and 1258.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 29545152 divided by -3?\nAnswer: -9848384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 6516182003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 133487 by -1.\nAnswer: -133487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16665.\nAnswer: 3, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19739672 divided by 5.\nAnswer: 19739672\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes after 3:42 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 8*h**2 + 47*h - 476. What are the prime factors of n(26)?\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - -2)\/(9\/132). Suppose 2*i + 3*i - q = -2*w, 0 = i - 3*w - 2. What is the units digit of 12\/i*(10 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the first derivative of -4\/15*f**3 + 1\/30*f**4 + 0*f + 16\/45*f**6 + 16\/25*f**5 - 11 + 1\/15*f**2. Let a(n) = 0. What is n?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -7 (b) 20 (c) -2\/543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 15\/2*g**4 - 1\/2*g**5 - 239\/2*g**2 + 162 - 27\/2*g**3 - 36*g = 0 for g.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 3*s**3 - 52*s**2 - s - 24. Let o(f) = 6*f**3 - 105*f**2 - 2*f - 44. What is 11*b(x) - 6*o(x)?\nAnswer: -3*x**3 + 58*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4111201 - 22?\nAnswer: 4111124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -294? (a) -9 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.11 - -1.89. Which is the fourth biggest value? (a) t (b) 5 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 + o - 1. Let q(x) = 11*x**3 - x + 5. Determine -q(f) - 2*u(f).\nAnswer: -9*f**3 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**2 - 5*c - 3. Let s be m(-6). Suppose -3*u - n + 86 = 2*u, -4*u = -3*n - 65. Let k = s + u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = q + q. Suppose -6 = -13*w + 46. Suppose 5*z - w*s - 29 + 13 = 0, z - 2*s - 8 = 0. Solve 0 = -2*m - 1 - q, z = 2*h + m + 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 4 - 5)*(-4 + 0 + 0) - 4 + 3 - 1)*(z**3 - z**3 - 2*z**4).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 + 3. Let s be 127\/(8 + -7 + 0). Suppose 4*p = 9*m - 7*m + 142, 4*p + 3*m = s. Let l(k) = 6*k**2 - 17. Determine p*y(d) + 6*l(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24 and 3786.\nAnswer: 15144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14913, -14916, -14919, -14922, -14925?\nAnswer: -14928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be -5 + 6 - (2 + -1). Let v(l) be the third derivative of 0 + b*l - 2*l**2 + 1\/3*l**3 + 1\/24*l**4. Differentiate v(w) with respect to w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1523 = -5*u + 3*h, -375 - 817 = -4*u - 2*h. What is the remainder when u is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 396040 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (6 + ((-232)\/40 - -1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1250626 + -5.85995.\nAnswer: 1250620.14005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(-3)\/6*(-87)\/58.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.51 - -11.47. Let h = -10 + q. Let d = h - -0.54. Which is the second biggest value? (a) 1\/3 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 51 and 238?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 10100000010100001 (base 2) to base 4\nAnswer: 110002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, e: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.047479 plus 27.5?\nAnswer: 27.547479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*o**2 - 7*o + 1976 wrt o.\nAnswer: 16*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-183)\/(-9333)*6\/(-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-1070)\/45)\/(106\/742*(-28)\/(-18))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mp when two letters picked without replacement from pppmspmmgpspmpgsm?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from phhhhhhxhp. What is prob of sequence xx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 68 (b) 11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*s + 13*s = 22*s. Suppose s = -38*q + 1051 + 24523. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (168\/8)\/((-3)\/(-5)). Let v be 1 + 42\/x*(-15)\/(-6). Solve 2*i + 3*m - 6 = 3*i, v*i + 2*m - 18 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.018 times 14?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 - 6. Suppose -q*h - 10 = 15. Let m = -1 + 4. What is the second smallest value in h, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000070350058 to seven decimal places.\nAnswer: 0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1097)\/(152\/(-16) - -9). Let i = q + -729. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 0 + 1. Suppose k + 4 = d. Let o = k - -7. Solve -2*l = -3*l - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 AM and 7:41 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*m - 11*m = 4*f - 34, f - 5*m - 22 = 0. Suppose 4*x + 3*a = 7, -2*a = f - 1. Solve -2*s = -6*s + 4*y - x, 0 = 2*s - 5*y + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1021162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is u in u**2 + 1044*u - 15885 = 0?\nAnswer: -1059, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 104\/3*15\/(-70) and 64\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 + 21*p**2 - 20*p + 45. What is w(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d - 1 = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 943 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 15*d = 8203. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 312013203 (base 4) to base 10.\nAnswer: 221667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 92, 3479 in descending order.\nAnswer: 3479, 92, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.19 - 18349512.8?\nAnswer: -18349512.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 7116509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 59 + -58.8. Let n = -0.1 - -0.1. Put n, -1, j in decreasing order.\nAnswer: j, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24.989746 rounded to 2 decimal places?\nAnswer: -24.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -5514 (base 6) to base 14\nAnswer: -66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c - 3. Let y(w) = -2*w - 5. Let g(l) = -12*l - 1. Let m be g(-2). Suppose -11 - m = -5*h + 4*f, 0 = -3*h - 2*f + 38. Determine h*p(o) - 6*y(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*s - 8*s + 7*s + 2*s + 0*s - s + (-4 + 4 + s)*(1 - 5 + 2) + 25*s - 7 + 2 + 3.\nAnswer: 15*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 + 5*p + 1. Let k(x) = -2*x**2 - x**2 - 4 - 14*x - x. Let t(b) = -11*a(b) - 4*k(b). Let r be 43\/(-9) + (-2)\/9. Calculate t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes after 8:17 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of q**7\/210 + 71*q**6\/60 + 61*q**5\/60 + q**3\/6 + 5*q**2 - 1. Find the third derivative of c(w) wrt w.\nAnswer: 24*w + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -757 + 758. Put -7, t, 3 in ascending order.\nAnswer: -7, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -822302, -822177, -822052, -821927?\n\"Answer: 125*q - 822427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is (-3030183)\/(-216) - (-3)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -7 + 107. Let n be l\/45 - (-4)\/18. Let v(g) = -6*g**2 - 3*g - 3. Calculate v(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*y = -9*y - 33. Suppose 0 = -6*t + 3*t + 231. Calculate the greatest common factor of y and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -130*s - 69 + 1094*s + 69 to y + g*s and give g.\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -288 in -0.01, 4\/9, 0.3, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1\/(24\/(-36)) - ((-220)\/24 - -4)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 267308 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*d + 4. Suppose -5*c + 179 = d*q + q, 4*q - 5*c = 192. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 64 - 54. Suppose 0 = -4*a + 5*a - k. What is the remainder when 26 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6.6 - -0.1. Let t = -1.5 + w. Let p = -4 - t. Which is the third biggest value? (a) -5 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.15 minus -308?\nAnswer: 308.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/((4 + -7)\/69). Suppose -2*h + y - d + 155 = 0, -272 = -4*h + 4*y. Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 556115 + -556108.99066. Let h = 5.99 - m. What is h rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 4\/3 (b) 155 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16 + 19. Differentiate -6 + p**2 + r + 3 - 3 wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 258359, 517572, 776785, 1035998?\nAnswer: 1295211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 332 is divided by 318.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, k: 4, f: 5, w: 2}. What is prob of picking 3 k and 1 f?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.09 * -33141737.\nAnswer: 2982756.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -245 + 250. Suppose 6*c - 5*q - 8 = 2*c, -6 = -3*c - s*q. Factor 2\/11 - 4\/11*x + 4\/11*x**3 - 2\/11*x**4 + 0*x**c.\nAnswer: -2*(x - 1)**3*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*v = 3*v + 455 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify m*m\/(m\/m**(-1\/20))*m**(11\/4) assuming m is positive.\nAnswer: m**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 383 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3042293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 347204 + 1a?\nAnswer: 347223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 p, and 2 o when four letters picked without replacement from {p: 1, q: 3, o: 2, s: 1, v: 5, k: 3}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 67\/5 + (-42)\/(-70). Suppose -17*k = -g*k + 15. Let b(m) = -3*m**2 - 1. Let d(y) = 4*y**2 + 1. What is k*b(s) - 4*d(s)?\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 3*u. Let h(p) be the second derivative of -p**3\/3 + 2*p. What is m(h(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-66)\/(4\/4)*(-32)\/96?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 32214 = -298*m - 11232 + 6792 for m.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = -2*w - 19, 4*j + 35 = 3*w + 2*w. Suppose 5*p + 3*z - 10 = 0, 2 = w*p - 2*p - 2*z. Solve 7 = l + p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*q - 8*q = 2*i - 12, q = -5*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3 and -5320.8?\nAnswer: 5317.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1077478 + -3135461011\/2910. Calculate the common denominator of y and -16\/9.\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3.5 + 4639050.39?\nAnswer: 4639053.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 161 and 140254.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1063 - 1090.65. Let c = 27 + t. What is c rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -368, -723, -1078, -1433, -1788?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 64 (base 12) in base 5?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 y, and 1 s when three letters picked without replacement from iiiiisssyssss?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -116443.94 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*b = 84 - 60 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -0.4 <= -921968\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13788 is divided by 6867?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -5*b - x + 196, -2*x = 2*b - 82. What is the highest common divisor of 100 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2627260409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/45504329 or 1?\nAnswer: 6\/45504329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 26 - 2 = 2*h, h = -y - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 164836.35 rounded to the nearest one hundred?\nAnswer: 164800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25 + 1 + 29*b + 26 to f + y*b and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 1 = 21. Is 4 + (347 - (w - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6028 divided by 4.\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert dc (base 14) to base 15.\nAnswer: ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, m: 5, g: 4}. What is prob of picking 3 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21*(-62)\/(-3472))\/7.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3795347 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13103 + 321?\nAnswer: -12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27 + 45. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1141684 (base 9) in base 8?\nAnswer: -2267051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 2*z**2 - 8*z + 772. What is n(0)?\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 10*q + 8. Calculate n(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 92501263 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 4066140 (base 8) to base 9\nAnswer: 2020381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 38 = -0*p - p, -4*g + p + 31 = 0. Let r(t) = -1 - 9*t + 12*t + 11*t. Calculate the remainder when r(1) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 262724 is divided by 906?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 88*d*n**3*x - 2*d*n**2*x + 80*d*x + 7*n**3*x + 2*n**3 - 2*n*x - 5 wrt n?\nAnswer: 528*d*x + 42*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 194356 or 194355?\nAnswer: 194356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -486 equal to -1462\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of 100 and -3653752.0902.\nAnswer: -3653652.0902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/280 and 5\/288.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1108*j - 1064*j - 266244. Calculate the remainder when j is divided by 173.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*f - 32 - 38 = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together -668 and 0.084895.\nAnswer: -667.915105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 366873 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + 5*j + 3, 12 = 5*m - 5*j + 2. Let z(c) be the first derivative of c**3\/3 - c + 2. Let x be z(-3). Solve 3*q - x = m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 14 = -60. What is the remainder when 85 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 151940714 to the nearest integer?\nAnswer: 12326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -94*b - 1768. Calculate the remainder when d(-20) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-3))\/(-4)*117\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -392 = 5*q + 523. Let i = 381 + q. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1756745 and -4\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the second derivative of -9*n**5\/20 - 5*n**4\/12 + 20*n. What is the third derivative of i(l) wrt l?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 698771 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -532 - 571*m - 229 - 136 wrt m.\nAnswer: -571","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -127 - -197. Let v = 86 - d. What is the remainder when 26 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -165045380*u**2. Let l(s) = -3*s**2. Determine a(l(j)).\nAnswer: -1485408420*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 9 = -2*o, -2*o + 2*y + 19 = 7*y. What is the remainder when 20 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 - (9 - -4) - (2 + -15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 760 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 40012323 (base 7) to base 8\nAnswer: 14450217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 23228415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/(v\/v**32)*v**(-3\/8)*v assuming v is positive.\nAnswer: v**(261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8112 and 2028?\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 3192100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 2 (c) -57\/17 (d) -0.02 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.062 (b) -0.8 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -219*m + 268 + 170. Solve 4 = -k + 6, 0 = 5*d - m*k + 34 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -9*h + 120. Let l be p(-15). Suppose 5*f - 7*r = -2*r + 245, f = 4*r + 49. What is the remainder when f is divided by 18\/45*l\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 AM and 11:31 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -188*b**2 + 92*b**2 - 4*b - b**3 + 99*b**2. Let f = -2 + -4. Let y be (-2)\/((-12)\/(-3))*f. Calculate j(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8641.652 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v - 6. Let m(a) = -3*a - 17. Let f be (7 + (4 - 12))*17. What is f*n(i) + 6*m(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -t + 6. Suppose 7 - 1 = -3*q, 4*s - 16 = t*q. Suppose 0 = 5*z + 2*o + 526566 + 208424, s*z + 293985 = -3*o. Round z to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + 1. Let q(g) be the first derivative of -g**4\/4 + g**3 - 3*g**2 + 22*g - 70. Let o be q(3). Solve -5*f = -0*f + c*t + 20, -5*f - 20 = -o*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15 - -26. Let i(o) = 2*o**3 - 3*o**2 + 2. Calculate the remainder when j is divided by i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 232327 is divided by 379.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/l**(-4\/9)*l*l**(-6\/5))\/(l**(-1\/17)*(l**(-21)\/l)\/l) assuming l is positive.\nAnswer: l**(19357\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 51 - 42. Suppose -2*s - 11 = -3*h, -2*s + 33 - u = 4*h. Suppose -s = -b - w, 2*b + 23 = 6*b + w. Solve 0 = 4*v - 27 + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**3 + 23*k**2 + 296*k - 258. Let j be i(32). Is j >= 320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3 and 2593262.\nAnswer: 7779786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 13\/245 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00026118 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4 + 1)*(-14)\/6. Let w be (-2 - 1) + 2 - -1. Let d = n + w. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**3 - 31*f**2 + 67*f + 60. Give d(-33).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 770497?\nAnswer: 7, 13, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -10*r**2 + 28 - 8*r + r - 3*r - 32. Let d(s) = -s**3 + s**2. Let u(l) = -2*d(l) - w(l). Find v, given that u(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 182.\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 6045\/(-62)*(-260)\/169\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 49*l - 3. Let z be t(3). Suppose 64 = 4*b - z. Suppose 5*w - 2*f - 130 = -6*f, -3*w + 76 = 2*f. What is the least common multiple of w and b?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Sum 27740128 and -58.\nAnswer: 27740070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(1008)*1)\/(5*sqrt(16)) + (sqrt(448) + -3 - sqrt(35)\/(3*sqrt(5) + sqrt(5)))).\nAnswer: -12 + 167*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 688986120 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -116 - -46. Let o be (-48)\/b - (-4)\/(-14). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -15*m + 105. Let k be w(24). Does 49 divide -1 - (-8)\/10 - 25041\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-9 + 4)*3\/5. Let g be d\/2*(-4)\/(-3). Is (3\/(-6))\/(g\/8) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*b + 3. Suppose -4*c + 4*q = -0*c, -2*c = b*q. Let g be 0 + (15\/(-21) - -1). Is c bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 178170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 915456 - 564485. Suppose -g - 25829 = 6*d. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 294 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1048, -2160, -3286, -4432, -5604?\n\"Answer: -r**3 - r**2 - 1102*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6*3\/(-6) + -20. Let x be 0\/3 - 16*1. Let f = x - y. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -144086760 divided by -310?\nAnswer: 464796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3237426*k*m**2 + 53*k*m + 2040*k - 3*m**2 - 2*m + 1 wrt m?\nAnswer: 6474852*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 50\/200 + ((-378)\/8)\/(-3) + -7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**2 + 11*v - 12.\nAnswer: (v - 1)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 0 + (sqrt(1216) - sqrt(1216)*-1) + -5 + (sqrt(190)\/((sqrt(80)*2 - sqrt(80))\/sqrt(8)))**2.\nAnswer: 14 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-4406)\/(-4) + 38\/(-76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from whukkukwhkhkkkuuukkk. Give prob of picking 1 k and 1 w.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 9281325887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 7*p + 25. Let s be 1 + -6*p\/15. Suppose 0*n = s*k - 4*n - 22, -2*n = -3*k + 26. Solve -3*w - 4*a + 5 = -11, 3*w - 2*a = k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -75.79 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*l - 3*l - 5*l)*(-1 + 1 - 2) + 2*l + 5 + 0*l - 3 as x + i*l and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*u - b + 12 = 56*u - 5*b - 2, b = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3771714 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*r = 17 + 19. Which is the fourth biggest value? (a) r (b) 3\/5 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*x**2 - 54*x**2 - 10*x**2)*(1 - 7*x - 7*x - 3*x) + x - x + 2*x**3.\nAnswer: 1175*x**3 - 69*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101010000 - -10010001?\nAnswer: 111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2639, -2713, -2785, -2855, -2923, -2989?\nAnswer: -3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39250468.\nAnswer: 2, 97, 101161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of -3*q**3 + 3*q**2 - 7*q - 1. Let v(h) = -2 - 1 - h**2 + 2 + h. Suppose -45 = -314*j + 269. Calculate j*i(l) - 6*v(l).\nAnswer: -3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t + 113. Let u be (8\/(-6))\/4*0. Is h(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 4, -6\/7, -133, -159109?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 12 + 8*n - 2*n - 2*n**2 + 7*n - 2*n. Let t be j(6). Calculate the highest common divisor of t and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((0 + sqrt(192) + 1 + sqrt(192) - sqrt(192) - sqrt(192)*-2*6)*-1)**2.\nAnswer: 1040*sqrt(3) + 162245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 1480*z**2 + 112*z - 7. What is the ten thousands digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (188 - 196 - ((28 - 0) + -3))) + -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 + q**2 + 19*q - 41. List the prime factors of h(8).\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2289)\/567 - 8\/(-2)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 3*z - 94 = 0, -4*z + 35 + 17 = j. What is the greatest common factor of j and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 16*m + 859. Let l(s) = -1 - 2*s - 3*s - 9*s. Calculate the remainder when w(-47) is divided by l(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 + 4*v**2 - 2*v + 9. Determine y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, q: 2}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/18 and 41\/63792612.\nAnswer: 63792612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 + 16 - 41 - 6*r + 3*r + 8.\nAnswer: -3*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -202 - -233. What is the remainder when 119 is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -75 + 67. Find the common denominator of (-85 - -1)*3\/w and -17\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -7 + (-47 + 30 - -29) - (-117 + -2).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (8\/(-6))\/(16\/(-36)). Suppose 2*x - c*a - 81 = x, 2*a - 320 = -5*x. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -620*o**5 + 8181*o**4 + 29636318*o wrt o?\nAnswer: -12400*o**3 + 98172*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -14400, -58484, -132256, -235716, -368864?\n\"Answer: -14844*u**2 + 448*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 16*u**2 - 13*u + 6. List the prime factors of m(-25).\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 125 divided by -125?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -5*a + 2*a, 2*a - 64 = -4*c. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.146*1.\nAnswer: -1.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 152 and 321140?\nAnswer: 12203320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 25 = 0, -4*u + 3*x + 785 - 124 = 0. Suppose -4*b - 2*r = -154, 0 = 20*b - 16*b + 5*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: Which is the nearest to -10? (a) 2 (b) 2\/15 (c) -4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 + -36687597.\nAnswer: -36687597.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h + 2*h + h)*(-2 + 10 - 2).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -a**2\/5 + 506302*a - 320427144005 = 0.\nAnswer: 1265755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 810, 1500, 2190, 2880?\n\"Answer: 690*y + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2914221756 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7 - -99?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {o: 4, n: 2, l: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -330 + 534. Let m = u - 1631\/8. Which is the biggest value? (a) 6 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -114 - -254?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*4\/(-12)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1154449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5, 28, 111, 268, 523, 900, 1423, 2116?\n\"Answer: 4*b**3 + b**2 + 2*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) 14539 (c) -11 (d) -3 (e) -1\/15 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5229255 = -92*x + 3586921. What are the prime factors of x?\nAnswer: 2, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 20 - 5 = 0. Suppose 4*q - r*i + i = 44, -5*i - 50 = -4*q. Solve 40 = 2*o - 6*o - 4*g, -q = -o + 3*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vkm when three letters picked without replacement from mwuvkuw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -5. Let s = -4.2 - -4.6. Which is the closest to -0.2? (a) 3\/2 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13803 - -22403. Round d to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 340459 is divided by 1032?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*r + 2*r = 26*t - 9*r - 16, 3*t - 3*r - 16 = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -0.07 (c) 0.74 (d) -1\/7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from tviyvttt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6548 - 6548 + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49836 = 4*a - 0*a. Let p = -71816099 + 1795713906\/25. Let k = p + a. Find the common denominator of 50\/9 and k.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 0 + 296 + (-21)\/(168\/(-16))?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*r - 6*r**3 + r**3 + 6*r**3 + (6 - 1 - 1)*(0*r**3 + 7*r**3 - 3*r**3) - 2*r**3 + 4*r**3 + 0*r**3.\nAnswer: 19*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9905 - -20802. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of f*k**3 + 3*f*k*q + 14*f*q - 3*f + 28704377*k**4*q - 7*k*q + 4*k + 8*q + 5 wrt k.\nAnswer: 6*f*k + 344452524*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9254?\nAnswer: 2, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**2\/13 + 614754*x\/13 + 4303180\/13 = 0. Calculate x.\nAnswer: -307370, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 977\/8 - -283\/8. Which is smaller: 157 or d?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 2\/9 (b) 2\/5 (c) 3 (d) 247 (e) 4 (f) -4 (g) 0.232\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (10\/458)\/((-3)\/12*-2). Let o be 47578\/127095 - (-4)\/70*-7. Let y = q + o. Is y less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1203.6 rounded to the nearest 10?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes after 11:34 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 13) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 + (3 - -4) + -3. Suppose 13 + 77 = -2*s. Let r be (-33)\/s - (-2)\/(-5). What is the third biggest value in r, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -49*r + 5914. Is b(16) a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.922338 weeks to microseconds.\nAnswer: 557830022400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*l = -17*l. Let i be 2 + 1*(-1 + -4). Let v be ((-3)\/9)\/(1\/i). Which is bigger: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 77*h = 107*h + 90 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 2 m when four letters picked without replacement from {m: 3, c: 3, y: 9, x: 5}?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 29586001 or -38?\nAnswer: 29586001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 125 + 6?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10 - -1100221?\nAnswer: 1100231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 - 9*t**2 + 6*t + 3. Determine m(-8).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -13\/2 (b) 276 (c) -5 (d) -7 (e) 0 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00049637333 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 - 22*p - 46. Let h be s(25). Calculate the highest common divisor of h and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -840, -1679, -2520, -3363, -4208?\n\"Answer: -k**2 - 836*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2. Let s(m) = -51*m - 9. Let i(x) = 10 + 33*x - 8 - 7*x + 2. Let k(o) = 9*i(o) + 4*s(o). Give z(k(g)).\nAnswer: -900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - 2.2. Let m = 3 + -2.7. Let y = m + -0.2. What is the closest to y in d, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 2*j = 26, j + 43 = -2*s + 61. Sort s, -14, 2.\nAnswer: -14, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -7454326+-26\nAnswer: -7454352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8300400 to the nearest integer?\nAnswer: 2881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 12:46 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - -5. Suppose t - 4 = -3, l*t = -b - 45. Let x = 1241\/5 + -249. Find the common denominator of b and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 22012211010 (base 3) to base 2\nAnswer: 100111011110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 21420 divided by -16?\nAnswer: -5355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 23770827181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {o: 3, s: 8, b: 6}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -3*r + 76. What is the second derivative of -37*k + r*k - 4*k**4 - k**4 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/3895 and -56\/1045.\nAnswer: 42845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5 - 0\/(-2 - 0). Let a(w) = 7*w - 30. Let l be a(5). Suppose l*x - 12 = 2*x. Solve -x*z - 22 = -b*h, 5*h + 4*z = 2*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1130, -1047, -964, -881, -798, -715?\n\"Answer: 83*c - 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -78, -151, -218, -279, -334, -383?\n\"Answer: 3*m**2 - 82*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -872, -991, -1110, -1229, -1348?\n\"Answer: -119*g - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -6*c**3 - 3*c**2 - 4*c - 3. Let x(n) = -18*n**3 - 8*n**2 - 11*n - 8. Give 8*g(r) - 3*x(r).\nAnswer: 6*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 725*s - 710*s + 150 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (6\/(-4))\/(9\/480). Suppose j - 69 + 16 = 2*i, -3*i - j - 77 = 0. Let m = i - w. What is the remainder when m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (67\/268)\/((-2)\/(-96)). What is the greatest common factor of b and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.04, -5, -6\/103, -0.1, 1\/2 in descending order.\nAnswer: 1\/2, -0.04, -6\/103, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 123*i**3 - 324*i?\nAnswer: 738*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -33*x**2 + 1013. Let m(l) = 83*l**2 - 2028. Calculate 5*h(n) + 2*m(n).\nAnswer: n**2 + 1009","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 453546152 - 453545596.000274. Let m = q - 556. What is m rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -179 + 124 = 55*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -805*y**2 + 414*y**2 + 429*y**2. Let s(a) = -8*a. Determine s(f(q)).\nAnswer: -304*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (((-108)\/24)\/9)\/(18\/(-16))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 115 - 116. Sort 3\/5, -0.2, 3\/2, d.\nAnswer: d, -0.2, 3\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/(-45))\/(14\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-12 - -9)\/(6\/(-50)). Let i(z) = 15*z + 76. What is the hundreds digit of i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 3*q**2 - 24*q + 45 = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14.414 - -14.214. What is the third biggest value in -0.04, 11, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 236*t + 2. Let p(w) = -466*w - 5. Determine -7*j(y) - 3*p(y).\nAnswer: -254*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 983668 and 50490643?\nAnswer: 3837288868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f = 5*q + 46 - 40, -2*f - 8 = 5*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22 - -43. Let g = -12 + u. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8370100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00148458409 rounded to six dps?\nAnswer: 0.001485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*z + 1 + 1529*z**2 - 1526*z**2 + 13*z**3 + z**4 - 10*z to the form b*z**4 + k*z**3 + j*z + s*z**2 + d and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00249243133 rounded to six dps?\nAnswer: -0.002492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8853 + 405451 = 32*l. Is 72 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-2292)\/(-382)*(-2)\/84*-10?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -301 + 82. Let r = q + 1256. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - 7 - -35 - (72 - 59)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 11311454, 22622930, 33934406?\n\"Answer: 11311476*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 0, 17, -4 in increasing order.\nAnswer: -6, -4, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -83 - 60. What is the tens digit of 153*(22\/n + (-15)\/(-13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from quuqqqn. Give prob of sequence quu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 31374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 29 = 3*b, -8*z + 11*b = 9*b - 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -3*c - 17. Let z be r(-5). What is the tens digit of 83 - 0\/(z - -5) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 77868243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -9*m - 4. Let h be r(-6). What is the highest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14474000 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 48201, 48222, 48279, 48390, 48573, 48846, 49227, 49734?\nAnswer: 50385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14245363 - k - 3*k + 14245387 - 2*k to the form n + d*k and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 6:26 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + -23 + (2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 25 or 1920\/77?\nAnswer: 1920\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -4*n + 4. Let f(o) = o**3 - 3*o**2 + 1. Let r(a) = -a + 5. Let h be r(5). Suppose h = -0*v + 2*v - 4. Let t be f(v). Calculate l(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14.1 - 1.1. Let o = h - 8. Let k = -3640.3 - -3640. Which is the fourth smallest value? (a) -4\/3 (b) 2 (c) k (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - ((-13 - 4 - (-4 - (9 + -5))) + 53)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/3456 and -109\/1344.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*-5*(0 + -2*sqrt(2057) + sqrt(2057)) + -4*-5*(sqrt(2057) + 1)*4)*1)**2.\nAnswer: 114400*sqrt(17) + 8697225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 21 - (-4 - (12 + -21 + -10)) - (0 + 28)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 6445, 6499, 6553, 6607, 6661?\n\"Answer: 54*s + 6391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(4\/9)*x*x*x)\/x)**(-43))**(-2\/57) assuming x is positive.\nAnswer: x**(1892\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3386167 is divided by 937.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.4 and 51.6563467.\nAnswer: 51.2563467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -44.27 - -44. Let m = f + 0.37. Suppose -6 = l - 3*l. Which is the second biggest value? (a) m (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20050 and 475.\nAnswer: 380950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 10 = -f - 0, 0 = 4*p - f - 8. Let h(j) = 11*j**3 - 2*j**2 - j + 2. Does 10 divide h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -30.4, -2\/5, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 43, 289, 683, 1213, 1867, 2633?\n\"Answer: -2*i**3 + 86*i**2 + 2*i - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - (sqrt(121) - (sqrt(121) - 4*sqrt(121)*1))) + sqrt(121))\/(sqrt(88)\/(sqrt(8)*3)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -2*x - 12. Let u be g(-5). Does 3 divide (32\/(-4))\/u + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -10 and -7\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.17 in 1, -61\/8, -0.5, -1\/11, -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 2 (c) 1\/5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 19920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2371, -2366, -2351, -2320, -2267, -2186?\n\"Answer: s**3 - s**2 + s - 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 798 = -1104*c + 1142*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 9*g**5 - 48*g**4 - 21*g**3 + 408*g**2 - 564*g + 144 = 0.\nAnswer: -3, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1013689 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 18310920 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 143658 and 5094?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30988 = 3*o - 310282. Let q = o - 543383\/6. Let w = -2548 + q. Calculate the common denominator of 5\/14 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2430 divide 2455106760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 6*x**4 + 0*x**4 - 1670965*x - 57*x**3 + 1670967*x in the form d*x**4 + r*x + c*x**2 + t + q*x**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 - 4*l + 2. Let b be d(1). Let z = -1 - -1. Is z bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -9*m**4 - 3*m**2 - 5*m. Let c(v) = 5*v**4 + 2*v**2 + 3*v. Let z(l) = 10*c(l) + 6*q(l). Find the third derivative of z(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9193770.\nAnswer: 2, 3, 5, 17, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**3 + 6*z**2 - 3*z - 6. Let h be q(5). Let s(n) = n - 1. Let d be 37\/7 + (-4)\/14. Let k be s(d). Solve -h*r = 5*w - 0*r - 29, 4*w - 16 = k*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 226 = 27*u - 178 + 53 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -4*f**2. Let z(v) = -9*v**2. Let d(q) = -5*x(q) + 2*z(q). Let a(j) = 2*j**2. What is d(a(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5859 and 1030533.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = -6*h + 11. List the prime factors of (270 + (h - 0))*(-7)\/(-7).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Express 3*u**3 - 339*u**2 + 8*u**4 + 70*u + 173*u**2 + 164*u**2 as w*u + f + j*u**3 + m*u**4 + h*u**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 223.5 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -621 + -3132?\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13807622.005 + -13838677.004995. Let h = 31060 + k. Let a = h + -5. What is a rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/(-6))\/(4 + -3). Let c = 3.9 - -0.1. Sort t, -1\/4, c, -1\/3 in ascending order.\nAnswer: -1\/3, -1\/4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - a - 40 = 0, -2*a + 103 = 5*f - 6*a. Solve 0 = 11*v - f - 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4829 and 3951.\nAnswer: 43461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1012022 - -10?\nAnswer: -1012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 285049 is divided by 7592?\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 7, l: 4}. Give prob of picking 2 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 5*u - 8 = 11, -4*u = 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 111 and 343138.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/15*(-1)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.32*-1\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.4, 1, -5, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 99047 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + w = -4*w - 279, -5*k + 5*w = 425. Let r(g) = -g**2. Let m(l) = 4*l**3 - 44*l**2. Give k*r(t) + 2*m(t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of o**4 - 136 - 7*o**2 + 136 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 676315 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3)\/4)\/((-105)\/(-80)). Which is the nearest to 0.07? (a) -10 (b) m (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2) + -2*sqrt(8) - (sqrt(2)*-1 + -4).\nAnswer: -2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*u**6 - 4*u**5 + 11*u**3 - 3*u**2 - 184*u - 21 wrt u?\nAnswer: 240*u**3 - 240*u**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22610.\nAnswer: 2, 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**4 - 692*w**3 - 76008*w**2 - 2780172*w - 7674966 = 0 for w.\nAnswer: -169, -87, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.04 + 0.04. Let p = -4 + 2. Which is the closest to 0? (a) -0.2 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 177, 421, 749, 1161, 1657, 2237, 2901?\n\"Answer: 42*f**2 + 118*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -20*y**2 + 2*y + 12*y + 11*y + 13*y - 40*y. Let s(w) = w - 42. Give t(s(l)).\nAnswer: -20*l**2 + 1678*l - 35196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 50689 + -50657. Let i(v) = 8*v**2. What is the smallest common multiple of i(-1) and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*z - 44*z - 3*h = 6198, 0 = 3*h + 24. Solve z*l - 3 = 2061*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 267 divide 55369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*o = 62*o + 10*o + 1345 - 2803 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1218\/12 + 8\/(-16). Let y = 151 - d. What is the smallest common multiple of y and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/7 greater than or equal to -2.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -39 - -23. Suppose 7320*y - 7331*y = 55. Sort a, y, -2 in increasing order.\nAnswer: a, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1715.99586 + -1716. What is q rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 281*y**2 + 2*y - 3. Let t be x(2). Suppose -31*o + 4052 = -t. Is 69 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 599 and 11.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 24.38 - 1.38. Let x = 23 - o. Which is the nearest to x? (a) 4 (b) 3\/8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*j - 342 + 674 = 346 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**(-2)*m**(-3)*(m*m**(-2\/3))**38*(m\/(m**(-1\/4)*m))**37\/(m**(-2\/9)\/(m*m\/m**2)) assuming m is positive.\nAnswer: m**(797\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.546 + 0.226. Let r = s - -0.02. What is the closest to -1\/5 in r, 0, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 137274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - 5. Suppose 0 = -5*r - 0*r + 20. Suppose 2 = c - r*a - 18, -b*c + 20 = -4*a. Which is bigger: 1\/5 or c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*v - 1 - 9 = 0, -v - 29 = -2*z. Solve 3*h - 4 = -z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-144)\/(-32) + (-2)\/(-5 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xkkk when four letters picked without replacement from kkkxxuxxduv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 + -1 + 3 + -1. Let o be ((-6)\/12)\/(2\/4). Let v be (-2 - 1 - -1)*o. Is v greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 70196\/18 + (-2)\/(-9). Let g = -6 + 10. Suppose -x + u = -g*x. Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2832094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -83*v - 1. Let i be k(-1). Suppose 76 = 4*p + 4*u, 4*p - u = u + i. Suppose n - p = -8. What is the highest common factor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/9 + 22\/(-6). Let z = b - -8. Suppose -2*k - 5*a = -z - 2, 0 = 5*k - 5*a. Let n(l) = 7*l**3 + 2*l**2 - l. What is n(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 5*u**2 - 4. Let b be o(2). Let r = b - 23. Let n(l) = l**3 + 7*l**2 + l + 6. Let t be n(r). Are t and -1\/26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 683 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**14*o**(-23) assuming o is positive.\nAnswer: o**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of 17*k**4\/2 - 2*k**3\/3 - k**2\/2 + 9*k + 16. Let g(o) = 4*o. Let j be g(1). Is i(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3615*s + 22747 = 7152 + 52766 + 100199 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4.48 * -0.3\nAnswer: -1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16 - -12. Let h = -20 + 24. Suppose 0 = 4*z - 16, 0 = -0*v + h*v - 3*z + 4. Is s bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -690962 times 0.1?\nAnswer: -69096.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n**5 + 3*n**5 - 4*n**5)*(-3 + 1 + 0) + 3*n**5 - 2*n**5 + 0*n**5 + 7*n**5 - 28*n**4 + 28*n**4 + (5*n**3 - 5*n**3 + 3*n**3)*(3*n**2 + 0*n**2 - 4*n**2).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 214 = -8*m + 36*m + 79 - 185, 2*n = -m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/20*5*2\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 611, 1220, 1829, 2438, 3047?\nAnswer: 3656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28921726 divided by 10.\nAnswer: 14460863\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 109 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -197\/390 and -56\/3861.\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i*i*(i\/(i*i*i**(-5\/2)))\/i)\/i)\/i)\/(i\/i**(-2\/13)))**23*(i\/i**(-1))**(-37)\/((i**1*i)\/i)**47 assuming i is positive.\nAnswer: i**(-3537\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, 91.\nAnswer: -2, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 18*w - 29. Let f be r(2). Calculate the greatest common factor of 210 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -2*y + 24, -y - 5*s - 26 = -4*y. Suppose 6 = -4*q - y, 4*d + 5*q = 18. Let b = d + 9. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x when three letters picked without replacement from rxxbbrxbxxxxbbrbx?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7.2 - 34. Let d = 1.8 + u. Let j = -25.1 - d. Sort 0.4, j, -10, -1\/7 in increasing order.\nAnswer: -10, -1\/7, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -222020130110 + -10?\nAnswer: -222020130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 - 4. Let s(m) = -m**3 + m**2 - 1. Calculate -k(b) + 3*s(b).\nAnswer: -3*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4794.08988 - 4794. What is c rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 31003641 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24 and 33990810.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l + 14. Let r be q(-6). Let t(n) = -8*n**2 + r*n**2 + n**2. Let z(v) = -15*v. Determine z(t(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 3*k. Let j(c) = -48*c**2 + 7*c. Let q(b) = -16*b**2 + 2*b. Let f(o) = -4*j(o) + 14*q(o). What is f(y(g))?\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -1.3 (c) -821828 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 302*r**5 - 2*r**2 + 10*r.\nAnswer: 18120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 5026 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -598 divided by 1?\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.7 - -2.3. What is the third smallest value in -4, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -191*a + 186*a = -z - 16, 0 = 2*a - 3*z - 48. Factor o**3 - 12\/5*o - 1\/5*o**4 + a + 8\/5*o**2.\nAnswer: -o*(o - 6)*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 58393 and 11.\nAnswer: 642323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/3 (c) 2.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is a (base 16) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 113b43 (base 13) to base 15.\nAnswer: 80ede","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffccclfcllfcclfc. Give prob of picking 2 f and 2 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2\/2191?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -145\/18 and (-7)\/525*(-783)\/(-18).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 4*h + 6. Let c be y(2). Let a = c - 15. Is -1 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 175221611*z**6 - 415588430*z**2 wrt z.\nAnswer: 21026593320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*j + 194488 = 104*j. List the prime factors of j.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2924 is divided by 917?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-5)\/m**(-5\/4))\/(m\/m**(-1))**(15\/7)*((m*m**(-2\/7)*m)**(-38))**(1\/33) assuming m is positive.\nAnswer: m**(-3083\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -606\nAnswer: -5\/606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-14)\/(-20)) + -49*16\/10080?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 45\/6 + 6\/12. Which is smaller: 0.2 or d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 + -11.2. Let m = -0.800092 + o. What is m rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1111101100 - 10001000010100?\nAnswer: -10011000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -88, -70, 148, 674, 1616, 3082, 5180, 8018?\nAnswer: 11704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 142 = -5*x. Suppose -20 + 8 = -3*m. What are the prime factors of -2 + 2 - x*(-2)\/m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 5:27 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 4*u**3 + 7*u**2 + 9*u + 10. Let n be l(-5). What is the common denominator of (-115)\/6 - 4\/(-6) and 2\/(n\/(-335))*-3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 18\/15 + -2 - -1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is j in j**5\/2 + 11*j**4\/2 + 39*j**3\/2 + 41*j**2\/2 - 16*j - 30 = 0?\nAnswer: -5, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*b = b + 70490 - 70184 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*u + 3*u - 2*u + (2*u - 6*u + 0*u)*(-3 + 6 + 3) + 2*u + 2*u - u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -3*t**2. Let s(y) = 7319627*y. Determine k(s(g)).\nAnswer: -160730818257387*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 34 + -2967?\nAnswer: -2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1*10*((-112)\/7)\/16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 231671820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1728) - (1 + sqrt(1728) - sqrt(1728)) - sqrt(240)\/sqrt(5)*2 - (4 + (3*sqrt(108)\/sqrt(4) - sqrt(27))))**2*-2.\nAnswer: -650 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 181893752 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 2035885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*i**4\/2 + 257*i**3 - 869*i**2\/2 + 172*i + 24 = 0. What is i?\nAnswer: -4\/37, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -92 + 3*a + 92.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 93495371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 21203422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 15, -5, 21\/4 in increasing order.\nAnswer: -5, -0.4, 21\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -3*o + 2265, 4*o - 2621 = -m + 384. Let c = o + -5975\/8. What is the common denominator of c and -11\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*r**2 - 8*r**2 + 2*r**2 + 18*r**2 - 4*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -2*(sqrt(68)*-2*5 - (-6*sqrt(51)\/sqrt(3) - (2 + -1*sqrt(17)))) + -5.\nAnswer: -4 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 8652330 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: Put 3, 2, 5, 6, 4 in descending order.\nAnswer: 6, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4*(-15)\/(-12))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4288 + 5828 = 36*v. Which is bigger: 282 or v?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = v - 5*v. Suppose -v*h + 4*r + 14 = 0, -4*h - 6*r - 2 = -r. Suppose 0*f - 5*d = f - h, 0 = -2*d. Solve f*o - 7 = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((126 - 14*l - 126)*(-1 + l + 1) - 34*l**2 - 59*l**2 + 5*l**2)*(-1 + 1 + 3*l).\nAnswer: -306*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 590, -69, -5, -2, 3, -1 in descending order.\nAnswer: 590, 3, -1, -2, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*l - 1 - 10*l**4 + 9*l**4 - 6 - 2 to k*l**3 + x + h*l**4 + v*l + p*l**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 2642.\nAnswer: -3\/2642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -52114 (base 7) in base 4?\nAnswer: -3013033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1269668 + -487?\nAnswer: -1270155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 185 + 2555?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 218 a factor of 42295152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 - 20.1. Let b = n + -3.43. Let j = -0.37 + b. What is the closest to j in -1, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmmuuyrramrummmamak. What is prob of picking 3 m?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1617 and 2\/((-8)\/(-980)) + (-2 - (1 - 3))?\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*j - 1632 = -95*j + 22*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -6*t. Let n be -1 - (-4)\/(-4 + 0). Let j(c) be the second derivative of -1\/6*c**3 + c + 0 + 0*c**2. Determine n*k(f) + 14*j(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 99702097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.08, -1, -0.4, 5, -1\/218?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -248 - -187. Let r = a + 66. Solve -r*n - 1 = -6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from duoej. What is prob of sequence eu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 36733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 754 = 13*v. What is the remainder when (-11)\/(4*(-3)\/252) is divided by v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is ef9 - -17?\nAnswer: f10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 32311 - -1?\nAnswer: 32312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1*30*1\/2. Let z = -10 - x. Suppose -3 = -d - 8*y + 3*y, -3*y = -z*d + 127. What is d rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*o + 0*o - 4*o)*(-1 - 2 + 2) + 71*o + 13*o + 18*o to the form x + r*o and give r.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 45 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-203)\/(-319)*(-2)\/(-7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express ((1 - 1 - c)*(-2 - 2 + 3) - 3 + 3 + 2*c)*(11*c - 3*c + 10*c)*(-329 + 161 + 162) as p*c + h + o*c**2 and give o.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6 times -4?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 130 times 0.2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35411 - 317*y + 1489*y + y**2 - 35411 to the form m + l*y**2 + x*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 5, j: 4, w: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -133*z + 136*z - 9 = 0. Solve 0 = z*d - 2*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110010 + 100011100101?\nAnswer: 100100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -246, 285, 4 in ascending order.\nAnswer: -246, 4, 5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.82 + 0.18. Which is the second biggest value? (a) 0.07 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -18803 + 103?\nAnswer: -18700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18873407.\nAnswer: 7, 41, 65761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 84, 165, 248, 333?\n\"Answer: u**2 + 78*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 40 + 44 = 0. Let l(w) = -5 + 3 + 21*w + 0. Calculate the remainder when l(3) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 4, -51, -2\/9, 117, -2\/61, -0.7, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*q + f - 56 = -56*q, 4*q = -f + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 9*g**2. Let b(o) = 8*o + 5. Give b(h(d)).\nAnswer: 72*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -17*t + 111. Determine b(11).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -79, -1454.\nAnswer: -1454, -79, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((13 - 3 + 2)*(-1 + 1 + 2*p) + (-1 - 3 + 7)*(6*p + 6*p - 3*p))*(4 + 3*p - 4).\nAnswer: 153*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 150896609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -186*d - 79235. Give n(-426).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 6*-1*sqrt(5)*4 + 3 + 3 + (-2*sqrt(405))**2.\nAnswer: -24*sqrt(5) + 1631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 444317901.\nAnswer: 3, 3301, 44867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1143.2 + 1144. Sort -0.4, p, 32.\nAnswer: -0.4, p, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -732 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 11*v - 1559. Calculate i(-170).\nAnswer: -3429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -342030, -0.14, -1, -2 in ascending order.\nAnswer: -342030, -2, -1, -0.14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3067 (b) -0.4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 62202 (base 7) in base 6?\nAnswer: 154200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from glhbmvg. What is prob of picking 1 g, 1 v, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 - r + 2. Let d be t(-2). Let v be d\/(-10) + 376\/(-40). Which is smaller: -1\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2022 + -2004.55. Round m to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 10. Suppose 18 - 38 = -r*y. Suppose y*g + 3*m = 4*m - 7, 3*g + 9 = 3*m. What is the second smallest value in 1, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 788.7418 millimeters to nanometers.\nAnswer: 788741800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*w - 34 + 13 = 0. Let m(c) = 12*c**2 - 1. Determine m(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20298 + 20303. What is the fourth smallest value in -0.03, 7\/2, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 427 and -17\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 9.416194t in nanograms?\nAnswer: 9416194000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 5, 82, -457?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -27079, -54152, -81225, -108298, -135371?\n\"Answer: -27073*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u + 5. Let k(i) = i - 6. Let v(t) = -6*h(t) - 5*k(t). Let z(p) = 97*p - 11. Let j(s) = 34*s - 4. Let x(w) = -8*j(w) + 3*z(w). Determine v(x(r)).\nAnswer: 19*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x. Let p be k(2). Suppose 0 = -4*o - 5*r + 4, 0 = -3*o - 3*r - p*r + 3. Which is the second smallest value? (a) o (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -8*b + 1. Let s(d) = -17*d + 1. What is 5*a(o) - 3*s(o)?\nAnswer: 11*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6380*s**2 - 3188*s**2 - 4*s**3 - 3192*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/3 + (-368)\/(-138). Solve -4*a + t*a + 5*k = -9, -k = a - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = y - 2*f, -4*y + 0*f = 3*f - 35. Solve -2*m - y = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 110 divided by -7.\nAnswer: -110\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - 52c?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1260\/420 - 6\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vmd when three letters picked without replacement from vdydlmdvdd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 b, and 1 a when three letters picked without replacement from {x: 1, a: 5, i: 5, p: 5, b: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4648.446 - -0.21.\nAnswer: 4648.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*((sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275) + 3 - sqrt(275))) + -1)) + 3))**2.\nAnswer: -1120*sqrt(11) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 76465467*m**2 + 17435*m + 872 wrt m.\nAnswer: 152930934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 5*l - 32. Let r be x(7). Let m be 2 + (-3)\/3*r + 20. What is the third derivative of 2*a**4 + 26*a**2 + 12*a**4 + m*a**4 - 3*a**4 wrt a?\nAnswer: 720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -24 + 4267?\nAnswer: 4243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*i**3 + 5*i**3 - 5*i**3 - 3*i**3 + 6*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(10)\/sqrt(5)*4.\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a - 3. Let c be g(2). Let p be (-4)\/2 - 28*c. Suppose 2*v - p = -0*v. Calculate the remainder when 25 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(0 + 7\/3 + -3). Let y = 1 + -6. Let r = -8.3 - -7.3. Which is the second smallest value? (a) y (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 8\/45?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26315, 26270, 26225, 26180, 26135, 26090?\nAnswer: 26045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 0*o**2 + o**2 + 29 - 19 + (1 + 3*o**2 - 1)*(6 - 2 - 3) + (0*o**2 + 0*o**2 + o**2)*(5 - 6 + 5) + 3*o**2 - 6 + 6 as j*o**2 + d + n*o and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 3180092.\nAnswer: 1\/795023","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*d**3*s**3*w + d**3*s**2 + d**3*s*w**2 - 3*d**3*w**2 + 74*s**3*w**2 + w**2 wrt s.\nAnswer: -30*d**3*w + 444*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -678600 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 33.30266 litres in millilitres?\nAnswer: 33302.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 3010 = 2*o, 9*o - 13*o - n = -6038. Calculate the remainder when o is divided by 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(-15)*(-4)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.33 + -0.33. What is the second biggest value in 0.09, o, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -3770, -2 in ascending order.\nAnswer: -3770, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -6 (b) 0.44 (c) 4 (d) -4\/9 (e) 0.5 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 - -17. What is the smallest value in 1, 2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5111646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 5*r - 21, -2*t + 7*r - 2*r - 11 = 0. Solve t*m + 2 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8\/42*14\/3. Let l(n) = -59*n - 767. Let q be l(-13). Is q less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/2*160\/72*12. Let g = -35 - w. Let b(i) = i**2 - 3*i + 2. Let s be b(3). Solve m = s*m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 - 14194?\nAnswer: -14193.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 6:39 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**4\/4 - j**3\/4 + j**2\/4 + j\/4.\nAnswer: -j*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 9}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -3 + 1 + sqrt(405).\nAnswer: -6 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -2) + (-5 - (4 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 7\/14*(6 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 + -17. Put d, -15, 5\/3 in descending order.\nAnswer: 5\/3, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 601, 1147, 1693?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1329 + 1456. Let v = 0 + -1. Calculate the lowest common multiple of v\/((-7)\/g) - (-1)\/(-7) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - (4 - (-3 + 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 35643.5 hours in minutes?\nAnswer: 2138610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17656075 and 2839.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 168471405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, w: 6, o: 2, a: 4}. What is prob of picking 1 t and 1 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -8*z**2 + 1282*z**3 - 5*z**2 - 5*z - 1284*z**3. Determine d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 4*t, o - 24 = -4*o + 2*t. Suppose 8*v + o*v = 252. Calculate the smallest common multiple of v and 58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (32382\/(-30840))\/(1\/5)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 226 - 208. Let g(v) be the third derivative of 0*v + 0*v**3 + 0 - 1\/60*v**5 - d*v**2 + 0*v**4 + 7\/240*v**6 - 1\/84*v**7. Factor g(f).\nAnswer: -f**2*(f - 1)*(5*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/8*-29*12. Let g be w\/(-9) + -2 + 4\/(-12). Is 12 a factor of 143\/3 - (1 - (-16)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -100*n*y**2 - 37*n*y - 6628760*n - 193*y**2 wrt y?\nAnswer: -200*n*y - 37*n - 386*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -29, 0, -1, -2 in decreasing order.\nAnswer: 0, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 250*l**2 - 40*l**2 - 3*l**3 - 210*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 288279?\nAnswer: 3, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-4 + (sqrt(192) - (sqrt(192) + sqrt(192) + 2)))*1.\nAnswer: -8*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2621776957 to the nearest integer?\nAnswer: 51203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 71.1202 - 6693.7?\nAnswer: -6622.5798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*i**3 - 12*i**2 + 8*i.\nAnswer: 4*i*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, o: 6, u: 2, t: 3, w: 1, c: 4}. Give prob of sequence to.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j + 3*w - 69, 3*j = j - 5*w + 55. Find the common denominator of -1\/8 and 8\/j + 623\/30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 = -174*q + 176*q. Suppose -36*v = -7*v - q. Are v and 6\/181 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 5*l + 30, 3 = 3*q + l - 11. Let w = 16276\/121845 - 2\/8123. Which is the nearest to 5? (a) 2\/5 (b) 0.3 (c) w (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3913, -8773, -13701, -18697?\nAnswer: -23761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.3 - 0. Let w be ((-1)\/(-15))\/((-1)\/(-2)). Let j = 179001 + -179002. Which is the nearest to j? (a) w (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(1728) - sqrt(1728)*-1)\/sqrt(4))**2.\nAnswer: 96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (24\/18)\/(1\/45). Let u = 3 + 21. Calculate the highest common divisor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the third derivative of 10097*d**6\/120 + 176*d**5\/5 + 10*d**2 - 2*d + 25. What is the third derivative of a(s) wrt s?\nAnswer: 60582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 322 + -10951\/34. What is the second biggest value in 3, -5, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -3583*o - 100343. Give s(-28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 - 6)*(4*y + 3*y + 5*y)*((-4 + 5 - 2)*(3*y + 0*y - y) + 3*y - 3*y + y).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 10 - (1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 203484 divided by 2188\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1281b96 + -29?\nAnswer: 1281b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2 + 2 - (36 + -44) and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 881408, 3525635, 7932684, 14102555?\n\"Answer: 881411*r**2 - 6*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3\/7, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3 - -48982?\nAnswer: 4897a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f**9*f))**(-17)*f**(1\/73)*f*f**37\/f assuming f is positive.\nAnswer: f**(13871\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 4 - 0. Suppose 0 = -x - t, -3*s - 4*x = s - 16. Suppose -o = 0, 7*q = 4*q - s*o + 6. Solve -b = -q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*v = -32*v + 54. Let i be 83\/v + ((-112)\/(-36))\/(-14). What is the highest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 182101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 5 + 1)*(22*v - 43*v + 134*v)*(-3 - 2 + 1) in the form h + p*v and give p.\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f - 6 = 2*k, 4*k = -6*f + 4647 - 4669 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -60*t*w**4 + 862*t*w + 602354*t - w**4 wrt w.\nAnswer: -240*t*w**3 + 862*t - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(162))**2 + (sqrt(200) + -2)**2 - (-4*(sqrt(2) + 1) + ((sqrt(2) + 0 + -2)**2 - sqrt(2)) + 2).\nAnswer: -31*sqrt(2) + 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 15) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -b03 - b67?\nAnswer: -176a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 47353\/12 + -3938. Calculate the common denominator of n and -27\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 2*g**2 + 4*g - 100. Calculate u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*a + 8448 = 14*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 bigger than -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -3*x**4 + 5823438*x**3 - 2826006727572*x**2 - 28260649622520*x = 0.\nAnswer: -10, 0, 970578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*a**2 - 4*a**2 + 2*a**5 + (13698*a**2 - 6668*a**2 - 6829*a**2 + 26*a**4)*((-4 + 3 + 3)*(-6*a + 3*a + 4*a) + a + a - 3*a).\nAnswer: 28*a**5 + 201*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + (0 - -6 - ((-13 - (-1 + 81)) + -8))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3 + 4 - -1)*90\/400. Which is bigger: h or -65?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6\/7, 0.2, 1, 19, 4378?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -22.333 and 0.65282.\nAnswer: -14.57942906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -27*n - 86. Calculate q(-8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -17*h**2. Let a(v) = 4*v**2. Let j(y) = 26*a(y) + 6*n(y). Let o(q) = 715*q. Let k(s) = 23*s. Let p(b) = 187*k(b) - 6*o(b). Determine j(p(w)).\nAnswer: 242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 270 divided by -45?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 2 d, and 1 o when four letters picked without replacement from wgggjdwwjgjgodjgggwg?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2557846 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/133560 and 59\/49600.\nAnswer: 165614400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + 2*p**2 + 2*p)*(4 - 3 + 1)*(1 + 6 + 6 + (2 - 5 + 0)*(-2 + 0 + 4)).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssszssssszss. Give prob of sequence szsz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98243261 is divided by 476909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1420 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p + 4. Let u be o(0). Let v be 2\/4*1*10. Let x = 17 - 22. Sort x, u, v in descending order.\nAnswer: v, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 PM and 4:28 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - -11101000000110000?\nAnswer: 11101000000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 6 = -4*m, 56*g - 2*m = 61*g - 36. What is the remainder when 106 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 94591 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -4125*k**2 + k + 172. Let c(w) = 8*w**2. Calculate f(c(r)).\nAnswer: -264000*r**4 + 8*r**2 + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 3\/7, 1, -1.62, 3654?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((264784\/(-13))\/(-67))\/16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (-75 - -89 - ((-3 - -3) + 2)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 36634.12 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 3 - 9 = 0. Let o = -2 + f. Solve -3*j - 5*m = 29, -o*j + j - 2*m - 17 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand j**3 - 6*j**3 - 3*j**3 + 4*j**3 - 2*j**3 - j**3 + (-111*j + 12*j + 12*j)*(4 + j**2 - 4).\nAnswer: -94*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2685, -21720, -73451, -174228, -340401, -588320?\nAnswer: -934335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 29467979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -3 + -5*(-1 + sqrt(720)*1) + -4.\nAnswer: -60*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - 72f0f?\nAnswer: -72f14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 310 = 5*h, -3*h + 4*u + 275 = 2*h. Suppose 2*b = -2*p + 22, 2*b + 4 = -4. Calculate the remainder when h is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the first derivative of v**4\/4 - 7*v**3\/3 + 5*v**2\/2 + 8*v + 1. Let n be t(6). Let j be (-24)\/10*(-5)\/n. Solve j = -2*i - m, i - m - 8 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*l**2 - 54*l**2 - 47*l**2 + 93*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -82722, -82749, -82796, -82863, -82950?\nAnswer: -83057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2244241 - -10413?\nAnswer: 2310204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes after 3:25 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 126 divided by -6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -8*t + 27. Let u be h(3). Find the second derivative of 7*m**2 - 9*m**2 + 2 + 2*m**2 + 23*m - 120*m**u wrt m.\nAnswer: -720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13357276*l**5 - 2*l + 104784 wrt l.\nAnswer: -267145520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 2*x**2 - 2*x + 1. Let t be j(2). Suppose t = u + 3*z, 0 = u + 2*u + 3*z - 15. Let y = 4 + -2. Solve 0 = -5*i + u*k + 15, -5*i - y*k + 6 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65) - 1*(sqrt(65) - (sqrt(65) + (sqrt(65)*-1 - sqrt(65) - sqrt(65) - sqrt(65)))))\/sqrt(5).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -1191 (base 10) to base 15.\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 7:11 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-6)\/10)\/((-20)\/100). Suppose -3*h - 2*o + 979 = 0, -5*h + y*o = -0*o - 1619. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 8, -1\/4, -254, -46\/45?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 13420011?\nAnswer: -13420003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -21 (base 8) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1054078687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from egofz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-672)\/(-30))\/(-8)*(-4)\/14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 16519.52 or -108?\nAnswer: 16519.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -17818*c + 2266 = -17715*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g\/(g**(1\/4)\/g))\/g)\/(g*g**(-5\/3)\/g))**48)**(-19\/6) assuming g is positive.\nAnswer: g**(-1102\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 50317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 54 and 1404?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is g in 2*g**3\/7 - 2899872*g**2\/7 + 1051241293290*g\/7 - 60962240231636\/7 = 0?\nAnswer: 58, 724939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -199*i + 116. Let h be t(-22). Suppose -h - 2208 = -6*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (1 + -1051)*(-146)\/365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.04 - 0.04. Let f be (14 - -3) + 3*-1. Let s = f + -9. Sort t, s, -0.4.\nAnswer: -0.4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 2*z - 2. Let r = 5 - z. Suppose -g - 1 = -3*q - r, -5*g + 79 = -q. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -123*o + 117*o + 48 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5.761 + 5.731. Which is the second smallest value? (a) w (b) -3 (c) -0.1 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 54 and 10071?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56 + ((-10 - 3) + -5 - (-66 - -62)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(1*sqrt(176) - (sqrt(176) + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -s - 2, 0*r - r = -s - 2. Suppose -5*b = -10 - 0, -3*l - 2*b + 16 = r. Suppose 3*c + l = 16, 4*w - 12 = -3*c. Solve w = -6*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s**2\/8 - 9*s\/2 - 12 = 0. Calculate s.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1820197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the third derivative of -3*l**4\/4 + 2193*l**2. Let p(n) be the second derivative of -n**4\/2 + n. Give p(w(z)).\nAnswer: -1944*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6030 is divided by 101.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 408 (b) -0.04 (c) -5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2021123120 + 3?\nAnswer: 2021123123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5 - (-4)\/(24\/(-6)). Suppose 6 = 2*m - y, 6*y = -3*m + a*y + 9. Solve -4*c = -m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12890531\/234 - 110175\/2. Let h = 114\/205 - 30101\/21320. Find the common denominator of g and h.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 8*r - 43 = -11*q + 9*q, 3*r + 2*r + 6*q = 177 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {q: 3, p: 1, a: 1, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*g - 100 = 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 27154328*i**2 - 1463*i + 7345?\nAnswer: 54308656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2043381 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0157 + -5.0157. What is the second smallest value in 1\/4, y, -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence juuu when four letters picked without replacement from {j: 1, u: 11, e: 2, a: 1}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 68 is divided by 39 + (1 - 2 - 2) - 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r**5 - 84*r**4 + 72*r**3 + 4968*r**2 - 21060*r + 24300 = 0 for r.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/(-40))\/((432\/24)\/(-864))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -67*r - 2546. Let u be w(-38). Let q(k) be the second derivative of -9\/16*k**3 + 5\/8*k**2 + 5\/24*k**4 + 23*k - 3\/160*k**5 + u. Factor q(l).\nAnswer: -(l - 5)*(l - 1)*(3*l - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.34 + 0.24. Let w = -0.14 - -0.64. Let i = -0.2 + w. Which is the third smallest value? (a) i (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 154936.\nAnswer: 2, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 + 3*b**2 - 6*b - 6. Let l be n(-4). What is the common denominator of 29\/20 and l\/(-5) - 946\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/4236 and 13\/33422040?\nAnswer: 33422040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2610 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 55039043663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6760 and 113464?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -110\/3 - -37. Suppose -3*u - 15 = 2*x - 5*x, 3*x - 21 = 5*u. Solve -2*y - w*y**x - 3 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 540947 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h - 6. Let b(r) = 0*r**2 - 1 + 23*r**3 - 25*r**3 - 1 - 2*r**2. Let n be b(-2). Suppose 4*a + n = 5*a. Calculate l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -11*z**4 + 22*z**4 - 2*z**3 + 4 + 5 - 8*z**4 as y*z**3 + i + w*z**2 + l*z**4 + b*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange o**4 - 12 + 6 + 2449*o**2 - 3*o**3 - 34 - 2450*o**2 + o**3 to y*o**4 + z*o**2 + s*o**3 + h*o + i and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -26 + 32. Suppose -3 + o = b. Let i(q) = q**2 + 1. Calculate the remainder when i(2) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50787 divided by -243?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 3*d - 2339 = -5*y, -2*y + 3*d + 922 = 0. Let b = y + -465. Solve 6 = b*q - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31*((-6)\/27)\/(-1*(-8)\/36)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 + 33 = -5*b. Let w = b + 21. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*sqrt(1573)*2)**2*3 + 1 + 0 + (3*(-2*sqrt(1573) + sqrt(1573)) + (sqrt(1573) + 1 + sqrt(1573) + -3 - sqrt(1573)))**2 + -4)*4.\nAnswer: 352*sqrt(13) + 1912772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 39607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 5*s + 20 = 4*w, -s = w - 6. Let b = w + -6. Suppose -20 = 2*h - 6*h. Solve 0 = b*a + a + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6.227 times 21\nAnswer: 130.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 6 = -x, -4*g = -165*x + 170*x + 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 239780566 to the power of 1\/2, to the nearest integer?\nAnswer: 15485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 39 and 85917?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 3*d + 90 = 0. What is the remainder when 87 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -11065, -21937, -32401, -42253, -51289, -59305, -66097?\n\"Answer: 34*x**3 - 11110*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43266707.\nAnswer: 11, 3933337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 27.7 - 32. Let j = g - -4.6. Which is the nearest to -2? (a) j (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of w**5\/60 - 8*w**2. Let y(t) = 21*t. Determine y(q(l)).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 1. Let j = -2.9 + 3. Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33364, -33363, -33362, -33361, -33360?\nAnswer: -33359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27\/42)\/(-2*(-3)\/(-7))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(684) + 4)*4*3)**2.\nAnswer: 110592*sqrt(19) + 1612800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 = -b - 20. What is b rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*r - r - 322. What is the smallest common multiple of 32 and (-2292)\/r + 102\/357?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (((-1*sqrt(40))\/sqrt(2))**2 - sqrt(1620)*2) + 0.\nAnswer: -36*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**4 - 132*k**3 - 104*k**2 + 768*k.\nAnswer: -4*k*(k - 2)*(k + 3)*(k + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/24*-12*1. Sort 5, 0.8, -1, v in increasing order.\nAnswer: -1, 0.8, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/10*(48720\/87)\/80?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-10))**40 assuming w is positive.\nAnswer: w**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112 is divided by 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8337, 16254, 24171, 32088, 40005?\nAnswer: 47922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -1047150 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -f**5\/3 + 68*f**4\/3 - 748*f**3\/3 - 4882*f**2 - 4017*f + 9126 = 0.\nAnswer: -9, -2, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 1845 by -615.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -2*l**3 - 6*l**2 + 1212*l + 284. Determine z(-26).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - 9*b**2 + 0 - 56*b**3 + 59*b**3 + (-4*b - 2*b**2 + 4*b)*(1 + 5*b - 2*b - 6*b).\nAnswer: 9*b**3 - 11*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(7\/5))**(3\/2)*k**(-16)*(k*k\/((k**(-14)\/k)\/k))\/k)**28 assuming k is positive.\nAnswer: k**(434\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (80*a**3 - 77*a**3 + 6*a - 66*a)*(-7*a + 18 - 18)*(0 - 2 + 1).\nAnswer: 21*a**4 - 420*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 40 - 38. Let a be (-1 + -1*1)*s\/(-1). Solve 0 - a = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 7 = -2*t, -21 = 3*t - 4*t - m. Let a(x) = x**2 + 2*x - 4. Let o be a(6). Let l = o - t. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6952 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -36 (base 13) in base 11?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 6308698?\nAnswer: -1\/6308698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2.9434 - -611\nAnswer: 613.9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j**(2\/9)*j**(1\/4)*j**(-2\/9)*j**10 assuming j is positive.\nAnswer: j**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 6*q + 12*q + 74 - 59 - 20*q. Let d(f) = -4*f + 32. Let i(a) = 3*d(a) - 7*r(a). Calculate i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 424734 - 290317. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(((-42)\/84)\/(5\/215))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -827? (a) 2 (b) 1\/3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 5, v: 7, c: 1}. Give prob of picking 2 v.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from xxxbc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-392)\/(-6076) + (-840)\/8215.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - -10. Let p(d) = -125*d + 758. Let l be p(6). Calculate the greatest common divisor of j and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 1 and 172212.6.\nAnswer: 172213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.03 in -60, -1\/4, 39, 3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*p - 19*p - 12 = 0. Suppose -s + 32 = 5*k, 4*s - 2*s + 2*k - 40 = 0. What is the remainder when s is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 0*t = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66)\/(sqrt(24)\/sqrt(4)) + 3)**2.\nAnswer: 6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -4, -6, 3, 2 in decreasing order.\nAnswer: 3, 2, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 5 + 1. Let h = 7 - j. Put 0, 2, h in decreasing order.\nAnswer: h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 + 5*f - 1. Let q be d(3). Let r be (-24)\/(-45) - 1\/q. Which is the closest to 0.1? (a) 0.4 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-52)\/2184*63)\/(1\/(4\/(-51)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/15? (a) 0 (b) 13 (c) -0.2 (d) 1\/23 (e) -2\/165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sj when two letters picked without replacement from {y: 2, j: 1, q: 2, s: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 219*h + 50*h = -1282*h - 71346 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3360875.2 rounded to the nearest ten thousand?\nAnswer: -3360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5944 is divided by 1546?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 11*l**3 + 46*l**2 + 136*l + 146. Let u(h) = 24*h**3 + 94*h**2 + 270*h + 291. Let w(k) = -13*i(k) + 6*u(k). Factor w(b).\nAnswer: (b - 38)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 96269*y = 96805*y - 3216 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the first derivative of a**5\/10 - a**3\/3 + 3*a - 2. Let w(c) be the first derivative of y(c). Find the second derivative of w(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32887*w + 1611392 + 855133 = 0 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 55 in -1\/9, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16 times -11330?\nAnswer: -181280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 133*l - 112. Let w be o(7). What is the highest common factor of 63 and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 3*l**2 - 178*l - 347. Let m be g(-2). Solve m = t - 5*o, 2*t + 2*o + 1 = -17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 18651737 to the nearest ten thousand.\nAnswer: 18650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 3 + sqrt(700)*1 + sqrt(700) + (-3 + -2*sqrt(700))**2 + sqrt(700) + -1 + 5 + 1.\nAnswer: 150*sqrt(7) + 2814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 65.13 + -68.1. Let t = 1.63 - g. Are t and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 150 + -166.8. Let x = v + 15. Let a = -1.3 - x. Sort -3, 1, a.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*c**3 + 3*c**3 - 15*c + 15*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -333, -311, -289, -267?\n\"Answer: 22*g - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + -1. Let o be 3\/(r - 3) - 100. What is o rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 - 11. Suppose -r*a = -2*a - 4. Suppose -u + 4*p + a = -24, u = p + 11. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times 0.9919214?\nAnswer: 4.959607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2. Let h(m) = 419 - 211 - 208 - 1148*m**2. What is h(q(n))?\nAnswer: -1148*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 2:51 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 PM and 2:06 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2323*m - 11572. Give q(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the second derivative of 3*a**4\/4 - a**3\/6 + 2*a. List the prime factors of r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**2\/9 + 369886*d\/3 + 1109660\/9 = 0 for d.\nAnswer: -1, 554830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x - 3*x - x)*(6*x**2 - 4*x**2 + x**2).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1*(-2 - (-1 + -1)). Let m be (g - 341) + (-18)\/(-6). Let s = m - -731\/2. Calculate the common denominator of -93\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/9 and 1\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 3 = -4*a, -3*a + 62 = -22*f + 46 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 8017*k**3 + 75*k**2 + 37*k + 174. Let a(s) = -668*s**3 - 6*s**2 - 3*s - 14. What is -25*a(j) - 2*c(j)?\nAnswer: 666*j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (n + 0*n + 0*n)*(0*n - n + 0*n) + 6*n**2 - 2*n**2 - 3*n**2 + (-2*n**2 + 4*n**2 - 3*n**2)*(-2 + 0 - 1).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 13 - (-6 + 0 - (-808 + 801))) + -91?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1 - -1)\/(-1))\/((-31)\/62).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 45901, 91783, 137663, 183541, 229417?\n\"Answer: -y**2 + 45885*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*h**2*t**2 + 35*h**2*t - h*t**2 + 21*h*t wrt h?\nAnswer: -12*t**2 + 70*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, n: 3}. Give prob of sequence nll.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 149401*w**5 + 151*w**2 - 13*w + 324365 wrt w?\nAnswer: 2988020*w**3 + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*m - 792 = 16*m. Suppose 15157 = m*h + 2903. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 3, j: 7}. Give prob of sequence jl.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5 (b) -175 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-18 - -13) + -14 + -13 - -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 3 - 5)*(-434*c - 389*c + 924*c) - 2*c + 0 + 0 in the form z + b*c and give b.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1d099d + 4?\nAnswer: -1d0999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y - 7*y + 94312 - 94312.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 729 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 109931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 2*r**2 + 2*r + 3. Let m(b) = -b**2 - b - 1. Let p(v) = -2*c(v) - 5*m(v). Let n(q) = q**2 - 7*q - 23. Let j(g) = -n(g) + 2*p(g). Is j(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13 + (4\/1)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -27, -82, -157, -240, -319, -382, -417, -412?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5169312*j**2 + 16796*j - 136 wrt j?\nAnswer: 10338624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9879\/644 + 1148\/69. What is the common denominator of -13\/280 and l?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-2)*(-16)\/(-12). Let n(v) = -v**2 + 5*v - 5. Let u be n(4). Let y = -3.9 + 0.9. Which is the nearest to u? (a) s (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1329081389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 1020 = -10*z. Calculate the smallest common multiple of z and 8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -56 + 169. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 + 2*m - 32. Let z be f(5). Solve 4*b = i - 0*i - 4, z*b + i = -10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 415634 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -231, -1875, -4611, -8433, -13335?\nAnswer: -19311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/16*(-255 - -115). Put 2, l, -11\/2 in ascending order.\nAnswer: -11\/2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**2 - 227120*i + 38240475.\nAnswer: 5*(i - 45255)*(i - 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.6 - 1.5. What is the closest to -0.1 in -0.1, x, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - -1)*(2 + -3). Let a be 3\/r*(-25)\/5. Suppose 8122071 = a*y - 7377929. What is y rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (16*3\/(-6))\/(-2). Solve 0 - 2\/7*p**5 - 2\/7*p**3 + 6\/7*p**l - 6\/7*p**2 + 4\/7*p = 0 for p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1046.373 - -1044. Round n to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i + 1290 = 52*i. Calculate the lowest common multiple of i and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3555947*q**3*r + 1429246*q**2 + r wrt q?\nAnswer: -21335682*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 50*a + 11 - 161. Let i(f) be the first derivative of -12\/7*f - 1\/7*f**a - 11 + 6\/7*f**2. Factor i(k).\nAnswer: -3*(k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 44382, 44403, 44482, 44655, 44958, 45427, 46098, 47007?\n\"Answer: 6*r**3 - 7*r**2 + 44383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 2*q**4 + 6*q**3 - 6*q**2 - 2*q + 4. Let d(p) = p**3 - p**2 + 1. Let w(a) = -4*d(a) + i(a). Let w(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 3:42 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 339983 = 10389*d - 52373 - 553043 for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 140 and 12\/66 + (-460)\/(-11)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 610 less than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 2*i**2 + 10*i - 2. Let v = 52 + -57. Let h be l(v). Let w be (-1)\/(-3) + (-3)\/9. Which is the closest to w? (a) 3 (b) 2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 912667927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -244281.753 + 0.06474?\nAnswer: -244281.68826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:08 AM and 1:49 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 1041*z**2 + 39*z + 568*z**2 + 149*z - 188*z as u*z + d + r*z**2 and give r.\nAnswer: 1609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-5 + 1 + sqrt(1053) + -1).\nAnswer: -9*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-111*l - 281 + 281)*(2 + 2*l - 2 + 2).\nAnswer: -222*l**2 - 222*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*t - 5*t - 5*w - 5 = -75, t = -2*w - 26 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - 1.7. Let p = t - -0.3. Let m = -0.3 - p. Do -0.1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 37481?\nAnswer: 1\/37481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 45629208 and 34221906?\nAnswer: 136887624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -39*o + 43*o + 3*j + 4, -o - 1 = 5*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 327972 divided by 543?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -247*x + x**2 + 64*x + 50*x - 51*x - 219*x as o*x**2 + j + t*x and give t.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 6 - 1 + (4 - 1 - 1)*(1 + 0 + 1) - 3 + 2 - 2)*(-22*b - 37*b - 211*b - 402*b).\nAnswer: -2016*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + (13 + -11 - -11) - (4 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 - 7*a**2 + 3*a + 2. Let n be p(5). Let l = -19 - n. Suppose 0 = -r - 0*r + l. What is the highest common factor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 8 + 47 = 0. Let g = o - -160. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 393, 394, 395, 396, 397, 398?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 194\/679*2\/(80\/(-14)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 3 = -0. Suppose -2*c + 4*p - 2 = 0, 1 = t*c - 4*p - 0. Sort 0, 2, c in descending order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((542 - 1224 + 443)*(2 - 6 + 2) + (2 - 4 + 1)*(1 - 1 - 1))*(-z**3 + z**3 - z**4) - 3*z**3 - z**4 + 3*z**3.\nAnswer: -480*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 21*c - 899. Determine j(9).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i*i**(-12)*i*i))\/i*i*i*i**(-11)*i)**(-44) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 7090 + 7066 = -2*l, 0 = 4*l - 2*y + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1030, -3663, -8052, -14197, -22098?\n\"Answer: -878*b**2 + b - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26203*n**2 + 368 + 26187*n**2 - 385.\nAnswer: -16*n**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 91 (b) 2\/13 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 - -18. List the prime factors of 930\/21 + w\/(-14).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3597971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 40 + -24. Let l(g) = -g + 16 - i. Let p(a) = -3*a. What is p(l(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*m - 12*m + 5*m + 6*m - 2*m + m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q*q*q**(2\/3)*q*q))\/q*q*q**(-6))**(4\/13)\/(q*q**(-4)*(q*q\/q**(2\/15))\/q*(q**(-1))**(-1\/11)) assuming q is positive.\nAnswer: q**(-1999\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9279603.9999928 - -9279613. Let c = 9 + -18. Let b = c + i. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 608 + -604. Suppose -u*r + r + 41 = -4*t, 4*t + 5*r + 17 = 0. Let z(k) = 19*k + 8. Let s(i) = -13*i - 5. Calculate t*s(y) - 5*z(y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand d**2 - 4 - 4*d**2 - 3601425*d + 3601649*d + d**2 - 6*d**2 + d**2 + (-5*d - d + 4*d)*(2*d - 1 + 1) + 1 - 1 - d**2 + 0*d**2 - d**2 + 0*d**2.\nAnswer: -13*d**2 + 224*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 257 = 39*y + 101. Let m = 91 - 29. Solve -m*z = -66*z + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 83 + -58. Does 35 divide 1956\/15 - 10\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*(-34)\/(-119)*(-14)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 992 is divided by 223.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mgggyygygyg. What is prob of picking 1 y and 1 m?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 10*p - 46. Let q be s(4). Is (q - (-3 - 10400)) + -6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6512069671 + -54769.\nAnswer: -6512124440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0\/((18\/3)\/3). Suppose -2*m + 0*m + 8 = o. Solve 0 = -f - m + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of x**4\/12 - 4*x**3 - 11*x**2. Let j be z(11). Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/3, 2\/41, -0.1563?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.4 and -0.32717?\nAnswer: 0.72717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3066*k - 2945*k - 1573 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32, -20, 34, 136, 292, 508, 790?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -0.4, 819, -0.24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -16 - -2 - (36 - 55)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 26 = -3*r, -6*r + 24 = -2*r - 4*a. Which is smaller: r or 10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l + 5*y - 1311, 4*y = 6*l - 11*l + 2198. Suppose 22*q = 5*q + l. What is the highest common factor of 832 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*l**2 + 0*l**2 - l**2)*(-3 + 0 + 1) + (-25*l + 57*l + 16*l)*(0*l + 3*l - l) in the form p*l**2 + c*l + j and give p.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 105, 426, 949, 1662, 2553?\nAnswer: 3610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 152337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6325644 divided by -299.\nAnswer: 21156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0, -8, -2 in increasing order.\nAnswer: -8, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = n - 6. Suppose 0 = -3*t - 3*o + n, -3*t + 25 = t - o. Find the second derivative of -4*x - 2*x**3 + 4*x**3 + 0*x**3 + t*x wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6877 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 - 142*p**2 - 190*p**2 + 12.\nAnswer: -332*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 6 = t - 14, 2*k + 5*t - 31 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -1069*a**2 + 2*a + 2140*a**2 - 1068*a**2 + 1. Let o(b) = 4*b**2 + 3*b + 1. Let u be -5*((-1)\/(-5) + -1). Give u*o(g) - 6*f(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f**3 + 12*f**2 - 23*f - 21. Let r be i(-7). Solve 0 = -26*m - 172 + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -5670060050*q**3 - 5651530790*q**2 + 18514122*q - 15138 = 0.\nAnswer: -1, 87\/53245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 37.0301 and -5147?\nAnswer: 5184.0301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 112 a factor of 51740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be 178\/26 - (-8)\/52. Calculate the highest common factor of k and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 294476410 to the nearest one million.\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -70 - -69.9. Let s be 2 + (3\/(-6))\/((-5)\/(-30)). Suppose -2*r = 13 - 3. What is the closest to a in r, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111010111011011101 + -11001110?\nAnswer: -111010111110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -4*f**2 + 10136*f + 2187200 = 0.\nAnswer: -200, 2734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1738709981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, -1, 23, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 25776 - -4757?\nAnswer: 32755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 + -6. Let g = 0.6 - v. Let l be 2*2*2\/2. What is the second biggest value in 1\/5, l, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 61*u - 1037. What is t(22)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -2*a**2 + 5 - a - 4*a + 3*a**2. Let d be p(4). Is (-462)\/(-15) + d\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 + 9*l**2 - 6*l - 7. Let q be z(7). Let u = -101\/2 + q. Which is the biggest value? (a) -5 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 34 - 15. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 196522*k - 473976 wrt k?\nAnswer: 196522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 480791 and 4864953?\nAnswer: 8149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 + 3*y**2 - 3*y. Let x be r(3). Let c = x + 16. Solve 0 = p + q + 8, p = -p + q - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of -l**7\/105 + 8*l**6\/15 - 128*l**5\/15 + 1081*l**2. Determine n so that o(n) = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*u - 3941 = -3731. Let h(f) = -7*f**3 + f**2 - 4*f + 3. Let w(s) = -8*s**3 - 4*s + 3. Let z(c) = 7*h(c) - 6*w(c). Calculate z(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (0 - 0 - (31 - 26))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/66*1259133\/370. Let o = 216\/407 + i. Let s = o - 322. Calculate the common denominator of 79\/12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 160, 218, 374, 676, 1172, 1910, 2938, 4304?\n\"Answer: 8*f**3 + f**2 - f + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-10 + 10 - 2)*1. Which is the closest to d? (a) 105 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 55084572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 22?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - i - 5*k + 4 = 0, 4*k = i + 5. Find the third derivative of 92*n**2 + 559*n**4 - i*n**3 - 8*n**3 - 554*n**4 wrt n.\nAnswer: 120*n - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 570878048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4*r**4 + 2*r**3 + 35*r - 2290?\nAnswer: -16*r**3 + 6*r**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Do -6 and -0.16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 298 = 3*w, 4*w - 22 = 4*f + 342. Calculate the remainder when 568 is divided by w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of 4*i + 3 + 1\/6*i**3 + 1\/2*i**2 - 1\/12*i**4. Let k(v) be the first derivative of z(v). Calculate k(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 3\/2, -5, 2, 10\/51, 2\/17, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -5*x**3 + x + 2. Let v(q) = 4*q**3 - q - 2. Let a(c) = -c + 3. Let b be a(3). Let y = 41 + -29. Suppose b = -6*u + 2*u + y. Give u*v(j) + 2*l(j).\nAnswer: 2*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*m**2*x + 218489*m**2 - 9*m*x + 2*m + 51494*x + 1040 wrt m?\nAnswer: -4*m*x + 436978*m - 9*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**5 + 22*m**4 + 86*m**3 + 138*m**2 + 72*m.\nAnswer: 2*m*(m + 1)*(m + 3)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*p**3*q**3 - 12*p**3*q**2 + 4*p**3*q - p*q - 247426*q**3 - 15*q wrt q?\nAnswer: -30*p**3 - 1484556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21753 + -21752.972931. What is m rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 35 = -113. Suppose -m = 3*b - 356. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 69 = 174. What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, 2382.\nAnswer: -3, 5, 2382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x**2 - 3*x + 2. Let c be k(2). Suppose -f - f = -c. Suppose i + 1 - f = 0. Solve 0 = 4*l - 5 + i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 15*m**3 + 1. Let j(w) = -119*w**3 - 2*w**2 - 2*w - 1. Let u be j(-1). Let o be 22\/55 - u\/(-5). Let k = -25 + o. Calculate p(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -9+380828406065\nAnswer: 380828406056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -28.9 - -28.941. Let h = m + 2.959. Let t = 4 - 9. Sort h, -1, -4, t.\nAnswer: t, -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes before 8:28 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3231333 (base 4) to base 10\nAnswer: -15231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is g in 3*g**5 + 1197*g**4 + 117573*g**3 - 368433*g**2 - 484812*g = 0?\nAnswer: -201, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -12 + (22 - 0) + -19 - -44.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 3*x**2 - 5*x - 10. Let v be p(5). Let n = 72 - v. Suppose a + 4*q - 13 = -5, -4*a = 5*q - n. What is the remainder when 20 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 10.5, 0.3, -39, -0.2 in decreasing order.\nAnswer: 10.5, 0.3, -0.2, -1\/3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -17*z**2 + 3. Let p(h) = -h**2 + 1. Calculate -c(f) + 3*p(f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.003165039752 rounded to seven dps?\nAnswer: 0.003165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 985 is divided by 315?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a - 4. Let r(z) be the second derivative of z**2\/2 + 31*z + 24. Let j = 16 + -10. Give j*r(q) + 2*m(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (36\/150)\/(((-160)\/(-104725))\/(-2)). Let b = g - -314. What is the common denominator of ((-18)\/(-5))\/(56\/(-15)) and b?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g - 0*g + 3*t + 3, -2*t = -3*g + 13. Let y(o) = o**2 - 2*o - 1. Let d be y(3). Suppose -d*v - v = 15, g*v = -b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 87\/7 + 34*132\/(-374).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 105105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.06 + -0.26. Which is the smallest value? (a) l (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2 - 24152*p + 96592.\nAnswer: (p - 24148)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 30354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17 - 17. Suppose -4*j - 4*s + 1 - 5 = 0, 5*j - 2*s - 16 = 0. Suppose 0 = -j*r + 6*r + 4. Which is the closest to -0.1? (a) 2 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -163246, -163247, -163248, -163249, -163250, -163251?\n\"Answer: -j - 163245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.8 + -0.2. Let i = 3\/23 + -81\/92. Which is the nearest to 2\/11? (a) f (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k - 8. Let h = 4 - -1. Let v = 9 - h. Let j = 10 - v. Calculate i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(-18)\/(-3)*(-7)\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-5) - 4308\/(-20). Let m be 19056\/56 + (23\/(-7) - -3). Let y = m - 297. Calculate the highest common divisor of y and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 12\/6*-2*(-1)\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of -f**5\/30 - f**4\/8 + f**3\/6 - f**2 - 2*f. Let d(i) be the first derivative of r(i). Calculate d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(4 + 2*sqrt(3) - sqrt(30)\/(sqrt(10)*-3))**2 - ((sqrt(210) + (sqrt(210) - 1*sqrt(210)) - sqrt(210))\/sqrt(10))\/(-2*-2*sqrt(7) + sqrt(7)).\nAnswer: -485\/3 - 280*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:44 PM and 8:27 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 2207970*u - 746*u**2 + u**3 - 5266*u**2 - 2207970*u in the form l*u + f*u**3 + x*u**2 + b and give x.\nAnswer: -6012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 5*a - 13 = 4, -22 = 11*k - 5*a - 71 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1078984*s - 418359.\nAnswer: -1078984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8 - 9)\/(2\/44). Let y be z*(15\/10 + -2). Differentiate 10*w**4 + 187*w**2 - 10 - y*w**2 with respect to w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12565.\nAnswer: 5, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -32*s**3 - 2877*s**2 + 54542*s - 5088.\nAnswer: -(s - 16)*(s + 106)*(32*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -6*g - 80. Calculate b(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 438.08603 rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17856069 and 238.\nAnswer: 35712138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -5*b**2 - 20*b + 4. Calculate the remainder when 17 is divided by o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12.52 take away -176?\nAnswer: 188.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -12*i**2 - 44*i + 8. Let w(u) = -u**2 + 1. Let t(q) = m(q) + 4*w(q). Factor t(f).\nAnswer: -4*(f + 3)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 25 = -2*q, -q - 20 = -4*z - 0*q. Suppose 9 = -3*n + 4*o + 206, -n = z*o - 53. Suppose -n = -x + 55. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -2*t. Let n = 38 - t. Calculate the remainder when n is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7065 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 162939?\nAnswer: 3, 7, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2114.3 - -2109. Let z = -21 - -25.3. Let l = z + t. Which is the third biggest value? (a) 0 (b) 1 (c) 1\/3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6188 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*t - 7 - 3. Calculate the smallest common multiple of (110\/6)\/t - 9\/27 and 156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (3 + 3) - (-2 + 3 + 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 1\/19805, 15 in increasing order.\nAnswer: -0.5, 1\/19805, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 106*p - 105*p + 2 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -3*p - 9 + 4*p + 9*p**2 + 15*p**2 - 25*p**2. What is f(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -33141 (base 5) to base 16\nAnswer: -8f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -7 - 1. Let j = t - -9. Solve 0 = 4*y - 5*y + j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3319\/502 bigger than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -6*(-4*-3*(-2 + sqrt(19) + 2*sqrt(1216)))**2.\nAnswer: -4747678 + 58752*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2))**(1\/7))**(-7\/3)*(t\/t**(-2\/3))**(4\/23)\/((t*t\/(t\/(t**(-2\/7)\/t)*t)*t)\/t**1) assuming t is positive.\nAnswer: t**(361\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -66670 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**2 - q + 14. Let r be h(0). Suppose -4*w + 1 = -5*g, r = 3*g - g + 2*w. Let n = 12 - 2. What is the smallest common multiple of g and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 0 (c) -1 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 3, -17, 4, -14 in increasing order.\nAnswer: -17, -14, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -45*u**3 + u + 83*u**3 - 35*u**2 - 36*u**3 as k + x*u + f*u**2 + y*u**3 and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 3*x**2. Let r(a) = -4*a**2 - 169*a. Give r(m(j)).\nAnswer: -36*j**4 - 507*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -0.3656 to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (51 + 13*r - 51)*(-r**3 + 2*r**3 + 0*r**3) + (-6*r + r + 4*r)*(r**3 + 6*r**3 + 9*r**3) in the form h*r**3 + n*r**4 + d*r**2 + i + z*r and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*x + x**2 + 0*x - 3*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 29 + -30.1. Let x = -0.13 - -1.13. Let q = k + x. Which is greater: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 125434201 (base 7) to base 14.\nAnswer: 1103238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and 0.409.\nAnswer: 0.0818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nlnnnnnlnnnnnnnnnn. Give prob of sequence lnl.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -8a5 - -2?\nAnswer: -8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pwydrfdppppdwfp. Give prob of sequence pfyp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 20*i**2 + 2*i - 3. Let k be l(-3). What is k rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/(-40) - 3\/24. Let x = -0.7 + 0.2. Which is the closest to 1? (a) -5 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9 and 4888881?\nAnswer: 4888881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*k - 135*k - 4642 = 34*k + 10*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 87 = -3*g, -17*g = -3*v + 251 + 242 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (2585*h**2 + 2530*h**2 - 428*h**2 + 5165*h**2 + 1722*h**2)*(4*h**2 + 3*h - 3*h) as l*h**2 + g*h**3 + i*h**4 + w*h + r and give i.\nAnswer: 46296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from nhoommmhmmmommhm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from ffffiffffffff?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.1 - 2.7. Let c = -1720 - -1710. What is the third smallest value in q, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 35 and 399.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0.1*7\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1386 - 1342. What is the greatest common factor of b and 2596?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -21271 - -14195. List the prime factors of 9\/63 - a\/7.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 23 - 23. Let u = -5 + z. Suppose 0 = -6*f - 110 + 74. Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 5*c - 6 - 19, -4*c + 20 = -4*o. Let m = 293 + -238. What is the greatest common divisor of m and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -2 - 0. Suppose 3*m = -k - 4, 5*m + 131*k = 127*k - 44. Solve m*x + 2 = -4*h - 2, -2 = -4*h + w*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 11*i. Let x(o) = -7*o**2 + 5*o + 5. Let d(k) = -3*k**2 + 2*k + 2. Let g(y) = -5*d(y) + 2*x(y). Determine p(g(s)).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from {x: 2, t: 1, a: 3, o: 1, j: 10}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0 (c) -5 (d) 60 (e) 63 (f) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 15426680 divided by 1928335?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2864*s + 46 - 95 + 48)*(6*s - s + 12*s) to v + w*s**2 + z*s and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from cbbbbbmbcbxcc.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 * -0.075152.\nAnswer: -0.450912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 20655835 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**3 - 11*k**2 - 11*k + 11. Let g(p) = 2*p**2 + 2*p - 2. Let x = -814 + 818. Give x*i(z) + 22*g(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -2*t**2 + 141554*t - 424644 = 0.\nAnswer: 3, 70774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 5}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xbbk when four letters picked without replacement from kkxbbx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1032087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-94600)\/(-5775) - 36\/21?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -27125, -108463, -244015, -433775, -677737, -975895, -1328243?\nAnswer: -1734775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 30912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2522 + 52?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8464 a factor of 3240645536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 537050916.\nAnswer: 2, 3, 14918081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 11597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 1 = 4*a. Let b = -1 + a. Suppose b = -3*n - 8 + 47. Calculate the remainder when 25 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2998116881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -83*f**2 + 10*f + 81*f**2 + 3*f**2. Calculate u(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42085187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*r**2 - 51*r**2 + 14*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2737?\nAnswer: 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 294 is divided by 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*(-2 - -5)*1. Suppose 4*s - 32 = 3*s. Suppose -4*d = -o - s, 0 = -2*d - 0*o + u*o + 26. Calculate the remainder when 25 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (0 + 5 + -1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes after 9:00 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jdyj. Give prob of picking 1 d and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -2*c**2 - 3*c + 54. Determine u(-17).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 513 and 285.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32550954 is divided by 2279.\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 - j**2 - j + 4. Let d be o(0). Let z be (16\/6)\/(9\/162). Let g = -46 + z. What is the nearest to d in 0, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/21 (b) -2\/33 (c) 1332 (d) 7 (e) -1 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be -6 + ((-294)\/4)\/(-7) + (4 - -1). Let u(p) be the first derivative of 17 + 0*p + 14\/3*p**3 + v*p**2. What is the second derivative of u(d) wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -37.61544 to 0 dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**4)**(3\/4)\/(r**2)**35)**(-3\/4) assuming r is positive.\nAnswer: r**(201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*v - 5*v + 14*v - 2*v + 1 - 1 + 1 - 2*v - 1 + (4*v - 2*v - 4*v)*(0 + 1 + 0) + 0 + 0 - v + (0*v - 8*v + v)*(-3 + 0 + 2) - 1 - v + 1 - 3*v - 2*v + v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7748 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7222 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 115476045.\nAnswer: 3, 5, 7698403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-26*b**2 - 15 + 15)*(-b + 3 - 3) in the form i*b**2 + n*b**3 + g + f*b and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -1\/11 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-8)\/(-10))\/((-4)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3979300 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 56029 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: Calculate the remainder when 4797 is divided by 400.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1803787143 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -132 = -5*v - 97 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of 33\/2*g**2 + 13 + 127\/6*g**3 + 1\/20*g**5 - 2*g + 0*g**4. What is the derivative of p(i) wrt i?\nAnswer: 3*i**2 + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -5959*x + 2940*x + 2970*x. Let m(q) = -q + 13. Calculate c(m(i)).\nAnswer: 49*i - 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 721228.3 weeks to days.\nAnswer: 5048598.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 45\/(-12)*48\/(-9). Suppose 4*n + n - h = 0. Suppose n*v - 15 = -v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 64 and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n - 6. Let a(u) = -5*u + 30. Let m(o) = -2*a(o) - 11*q(o). Let z be m(7). What is the least common multiple of (1\/z)\/(2\/(-28)) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.13 + -4.87. Let g = 21 + -20.91. Let i = g + 0.11. Which is the third biggest value? (a) s (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 - (-89 + 130 + -83).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 15331504 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -786 and 1435?\nAnswer: -1127910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 200 + -3?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(5 + sqrt(6)\/sqrt(3)*-4 + sqrt(162) + 0 - (sqrt(784)\/sqrt(8) + sqrt(40)\/sqrt(5)))*-1.\nAnswer: -30 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 4*f = -11, -2*u + u + 1 = f. Suppose 4*s + 15 = -g, -u*g + s + 7 = -2*g. What is the units digit of g*-3 - (3 - 65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 18*g + 13*g + 67 = 0, 5*z = -3*g + 85. Suppose 86 = 2*j + 4*v, 0 = 2*j - j - 5*v - 22. What is the remainder when j is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0 - 2)*(-185)\/10. Suppose 3*n - l = -2*w - 2*w, n - 24 = -3*w. Calculate the greatest common divisor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 563578?\nAnswer: 2, 19, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -150 = 4614*w - 4611*w, 112 = -4*q - 2*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 496482 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -47*r**3 + r. Let v = -11 + 10. List the prime factors of j(v).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 529*s - 534*s = -2885. Suppose 3*i - s = u, -7 = -4*u - 23. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + 3)\/(6\/4). Suppose 3*g + 237 = 4*c + 32, 5*c + 62 = -g. Let p = 62 + g. Sort r, -1, p.\nAnswer: p, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000041537 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fourty-two fifths of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 36\/77 + -2\/7. Suppose -2*v + 2 = 4. What is the nearest to 1 in g, v, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.116051l to millilitres.\nAnswer: 7116.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1\/8, 5, -4, 0, 26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 - 0.952.\nAnswer: -1.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 + 3*q + (-2 + 3 + 0)*(1 - 1 - q) - 12*q + 9*q - 6*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1141413 + 4?\nAnswer: -1141404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -107.885 + 108. Let h = l - 11.115. Which is the third smallest value? (a) 5 (b) h (c) -1\/3 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 + 16*t + 67. Calculate h(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2194.2 + -2193. What is the fourth biggest value in 6, -2, s, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 127.5397 or 14?\nAnswer: 127.5397","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Is 140117387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 67485163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 40 - -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -111.335 - -111. Let r = g + -1.7. Let c = 0.095 + r. Round c to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 6) + 6 + 1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(1 + sqrt(363)) - sqrt(15)\/(-2*sqrt(320) - sqrt(320) - sqrt(320)))*4.\nAnswer: 12 + 1057*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - -3. Suppose v - 2 = -s*a + 14, 9 = 3*v - a. Suppose 6*w - 8 = v. Sort -2, w, 3.\nAnswer: -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in seventy-one fifths of a hour?\nAnswer: 852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 126808850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -11.601 take away -0.0936983?\nAnswer: -11.5073017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -485 + 36374\/75. Suppose 5*n - u - 11 = 0, 3*n = 3*u + 12 + 9. Is b less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of -7*j**5\/60 + j**4\/8 + 5*j**3\/6 + 55*j**2. Let m(a) = -8*a**2 + 3*a + 6. Determine -5*m(n) + 6*z(n).\nAnswer: -2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22 - -24. Which is the smallest value? (a) 2\/3 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:20 AM and 8:32 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 800497, 800509, 800519, 800527, 800533, 800537, 800539?\n\"Answer: -u**2 + 15*u + 800483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -171.26127275 rounded to the nearest integer?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 + 91*k**2 - 100*k - 728. Let v be a(-92). Solve v*j + 83 = 123 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (23 - 456\/19)*(2 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10*(-462)\/(-2940))\/((-12)\/(-168)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 6 + -58?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/10)\/((-16)\/120). Suppose 3*w - w - 5 = 5*i, 5*w + g = -3*i. Find d such that -3\/2*d**2 + w*d + 0 - 3\/4*d**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -202, 99, -47, -4, -0.1?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 129*b**4 - 4*b**2 + 100. Let i(j) = j**4 + j**2 - 1. Let l(z) = 4*i(z) + w(z). What is the first derivative of l(s) wrt s?\nAnswer: 532*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -4*l + 9. Let y = 9 - 16. What is the tens digit of o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**35*z)\/((z**(-3\/23)*z*z)\/z))\/(((z\/(z\/z**(2\/37)))\/z)\/z*z*z**(2\/21)) assuming z is positive.\nAnswer: z**(660890\/17871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (2*n**3 - 4*n**3 + 0*n**3)*((4 - 2 + 0)*(1 + 3 - 3) + 3 - 6 - 2) in the form k*n**2 + h*n + v*n**3 + m and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*f - 11 = 295. Let o(s) = -s**4 - 5*s**2 - 6*s + 6. Let z(u) = -3*u**4 + u**3 - 14*u**2 - 18*u + 17. Let y(a) = f*o(a) - 6*z(a). Factor y(i).\nAnswer: i*(i - 6)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -106 + 112. Suppose 2126 = c*l + 494. Is l a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + 10*f - 5. Let t be q(9). Suppose a = 4*m - 17, -3*a + a - t*m + 2 = 0. Is (4\/a)\/((-14)\/420) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8644724017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3184 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6096 or -1628?\nAnswer: 6096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.5 (b) -2\/7 (c) 1 (d) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1261*0.62\nAnswer: 781.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n**3 + 41*n**2 - 7*n + 60. Suppose 0 = -6*w + 3*w - g - 123, -2*w + g - 82 = 0. List the prime factors of l(w).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from vrvdbld.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1518552 and 483.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 5*i - 56. Let a be s(12). Suppose -7*y - 1593 = -12*y - 2*j, 0 = -a*y - 5*j + 1288. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 920*y**2 - 16*y + 11. Is r(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 13 + 80aaa?\nAnswer: 80b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 29 = -5. Let h(v) = 1. Let r(c) = c**2 - 9*c + 1. Let z(f) = -6*h(f) - r(f). Give z(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 942151.\nAnswer: 7, 134593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 226 = -5*x + 7*x + 2*g, 0 = -x + 5*g + 89. Solve x*v = 107*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 8*i**2 - 102. Let s(d) = 7*d. Determine s(q(p)).\nAnswer: 56*p**2 - 714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/6, -15, -0.5, -2\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 31793, 64757, 97721, 130685, 163649?\nAnswer: 196613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 3*j - 23. Let m be r(9). Suppose -2*w - 182 = -3*w - m*k, -3*w - 3*k + 510 = 0. 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 {u: 2, c: 6, k: 9}. Give prob of sequence cccu.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 77*j + 1 - 2*j + (0 - 1 + 2)*(1 - j - 1).\nAnswer: -80*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**2)**(-43\/3)\/(n**1\/n*(n\/(n\/n**(-7\/2)))\/n) assuming n is positive.\nAnswer: n**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 22*b + 57. Does 5 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the second derivative of a**6\/15 - a**4\/4 + 5*a**2 + 3*a. Let d(n) be the first derivative of l(n). Find the second derivative of d(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 513 (base 15) in base 11?\nAnswer: 94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13 - (4 + -11))\/(-11).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 7*a**3 - 9*a**2 + 11*a - 9. Let n(u) = 5*u**3 - 8*u**2 + 10*u - 8. Let t(o) = 2*g(o) - 3*n(o). Calculate t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -38535*d - 9700. Is u(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 135*p - 2271. Calculate w(17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -11*g**2 + 263*g + 13062. What is c(49)?\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 2)*(-3 + 3 + 2*j**2)*(7*j - 10*j + 19*j).\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 229668*a**4 + 4*a**3 + 2*a**2 + 531329*a wrt a?\nAnswer: 5512032*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -16*o + 23. Give d(-7).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 2*f + 9. Let y be (-3)\/2*12\/f. What is the third derivative of 2*s**6 - s**2 + 2*s**y - 2*s**2 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 3*g**2 + 105775*g. Let i(n) = 3*n**2. What is y(i(c))?\nAnswer: 27*c**4 + 317325*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 7*p**2 - 4*p + 7. What is the hundreds digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4654372?\nAnswer: 2, 23, 50591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-6)\/i**(2\/7))\/(i**(2\/35)*i*i**7\/i)*i**(-8)\/i*i*i**(-3)\/i*i**6\/i*i\/(i\/i**(-3\/8)) assuming i is positive.\nAnswer: i**(-5801\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qbq when three letters picked without replacement from {q: 3, w: 1, b: 6, g: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve l = -1548*d + 1543*d - 30 + 11, -6*l + 3*l - 38*d = 172 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 35 + -25. Suppose -4*n + r = -3*z - 17, -3*z = -5*n + 30. Suppose 4*h + 3 = 5*d, -3*h - 5 = 2*d + n. Let x(w) = 5*w + 1. Give x(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25.10001 + 25.1. What is a rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-7)*-3*14. Suppose 48 = 4*o - b. Suppose 13*t - 8 = 44. What is the remainder when o is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34691 - 19565 = -3391*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that o**2 + 32*o + 60 = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 86763288 a multiple of 2861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/3 + 52*h**2\/3 + 218*h\/3 + 56.\nAnswer: 2*(h + 1)*(h + 4)*(h + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -75, 4, -1, -4 in decreasing order.\nAnswer: 4, -1, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -3134 (base 5) in base 3?\nAnswer: -120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-482 + 482 + 6*n)*(-2 + 24*n**2 - 5*n**2 - n**3 + 2*n**2) in the form l*n**2 + w*n + j*n**3 + m + d*n**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -51 + 53. Solve 0 = -i*u + 5*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (j**2 - 3 + 3)*(j - 2*j - 2*j) + 13*j**3 - 12*j**3 - 11*j**3 to the form v + d*j**2 + b*j**3 + n*j and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 162 - 188. Let k = -3083\/117 + 2\/117. Let g = y - k. Which is the nearest to g? (a) 0 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z - 1. Let r be u(6). Let t = 199 - 198.6. Which is the closest to 1? (a) -4\/3 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 54 - 21. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2 - 4*c + 1. Let o be (12 + -21)*1\/(-1). Let k be q(o). Suppose -k = -2*w - 0*w. What is the smallest common multiple of 3 and w?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173194 > 173194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + ((sqrt(684)*-1 + sqrt(684) - sqrt(684))*-6 + sqrt(684) + 3*(sqrt(684) + 1) - -4*(sqrt(684) + (2 + sqrt(684))*1)))**2.\nAnswer: 1944*sqrt(19) + 221697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9 take away 166?\nAnswer: -166.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 2 - 29*v**2 + 49*v**2 + 16*v**3 + 16*v + 10*v**2. Let b(x) = -3*x**3 - 6*x**2 - 3*x. Let z(l) = 11*b(l) + 2*i(l). Calculate z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (w + 17*w + 32 + 8*w - 2*w)*(-2*w**2 - w**2 + 2*w**2).\nAnswer: -24*w**3 - 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 156 = 18*z - 42. What is the smallest value in 4, 1, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + -2 + (28 - 26) - 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 10\/(120\/(-172))*(89\/(-1) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153) + sqrt(153)*-1*-4 + sqrt(153))\/sqrt(9).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -312761*y**5 - 2738460*y.\nAnswer: -6255220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 410 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 828 - 281 - 274 - m**2 - 273.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30586 divided by 41.\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**3\/3 - 4352*s**2\/3 - 17434*s\/3 - 4360.\nAnswer: 2*(s - 2180)*(s + 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -1\/4, 19, 0.\nAnswer: -1, -1\/4, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.1 (c) 3\/524 (d) 0.12 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 3 - y**4 + (5*y**2 - 2*y**2 - 11*y**2)*(-160*y**2 - y**2 + 1027*y**2).\nAnswer: -6929*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 166593, 333371, 500113, 666801, 833417, 999943?\n\"Answer: -3*z**3 + 166799*z - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -684 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:21 PM and 8:22 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 + 2*b**2 - 1. Let t(m) = -4*m**3 - 147*m**2 - 7803*m - 132654. Let f(r) = -3*l(r) + t(r). Factor f(c).\nAnswer: -(c + 51)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 152 + 76. Let s be (22\/(-14) - (-5 + 1 + 5))*-399. What is the highest common factor of s and g?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -176, -348, -522, -698?\n\"Answer: -r**2 - 169*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a97 + -186?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25533 - 25534. Sort -137, -3, a, 3, 2 in ascending order.\nAnswer: -137, -3, a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - 8) + 26 + -31 + 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 - 7*o**2 - 6*o + 3. What is x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3648513 divided by -10051.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53103172 - 497*z**2 + 53103172.\nAnswer: -497*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 56712 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -245, -1, 0.02, 10\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c - 1. Suppose 4*n - 146 = -42. Let g(z) = -5*z - 1. Let f(r) = r. Let j(m) = n*f(m) + 6*g(m). Let i(h) = -5*b(h) + j(h). What is i(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 268 - 2946\/11. Suppose -11 = 4*q + 21. Let b(u) = -u - 8. Let l be b(q). Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 - 2*a)*(12*a - 6 - 6*a - 7*a) as k + r*a + v*a**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - u - 17 = 0, 2*j + u - 885 = -878 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 33 = 5*o - 3*q, -q - 133 + 122 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-12)\/(-40))\/((-10)\/150))\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 16*g. Let h(m) = -3*m. Let u(q) = 2*f(q) + 11*h(q). Let w(j) = -50*j**2 - 3. Determine u(w(d)).\nAnswer: 50*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 50 = -5*l, -5*l - 4*m + 2*m = 78. Let u be (-7)\/l + (-38)\/(-4). Let w be (-8)\/(-20) + (-18)\/(-5). What is the highest common factor of w and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 5*a - 20 = -3*a, -4*k = 3*a - 25. Differentiate -1345*q + k + 0 + 1338*q - q**2 - 3*q**2 wrt q.\nAnswer: -8*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzq when three letters picked without replacement from izzzqqiziqziz?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1204 + 205?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be 110\/3*(-1 - -4). Suppose g + 49 = w. Let p = -799\/5 + w. What is the common denominator of p and -54\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*-2 + (-20)\/(-4) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 41616251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 - 669279.5648.\nAnswer: -669262.5648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 9*g. Let b(n) = 85*n + 3055. Give b(w(p)).\nAnswer: 765*p + 3055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 AM and 7:10 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 81.502l?\nAnswer: 81502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 436039.14 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/15)\/3*35\/175.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, 0.2, -1574.6, 12\/5, -1\/4 in ascending order.\nAnswer: -1574.6, -2\/3, -1\/4, 0.2, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - 5. Let u = 19.3 - 19. Sort u, f, 3 in ascending order.\nAnswer: f, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -9*g**3 + 4*g + 10*g**3 + 2 - 2*g**3. What is x(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10301 (base 7) in base 14?\nAnswer: -d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 - -7 - 48\/6. Suppose 8*q - 16*q + 72 = z. What is the smallest common multiple of 24 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15.8069 centuries in years?\nAnswer: 1580.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 AM and 9:02 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3735174 to the power of 1\/2, to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Simplify -1*1*sqrt(108) - (sqrt(75) + sqrt(75)*2 + 3)**2.\nAnswer: -684 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10265*n**2 - 34518*n**2 - 24252*n**2.\nAnswer: -48505*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.3 + -6.3. Let x = 5.4 + z. Sort 0, -3\/4, x in descending order.\nAnswer: x, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(704) - (sqrt(704) + -3 + sqrt(704)))*-2*-3*2.\nAnswer: -96*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 15\/6699728 and -107\/392.\nAnswer: 46898096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 PM and 7:34 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 1179*n - 999*n - 236*n - 2260*n - 2275*n in the form v*n + r and give v.\nAnswer: -4591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -30144 (base 6) in base 9?\nAnswer: -5371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 157668638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*k + 5*k + 3*h, 9 = 2*k - 3*h. Suppose -3*t + 4*p + 740 = 0, k = -2*t - t + p + 734. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6\/(-18) + ((-1676)\/6)\/(-1). Calculate the greatest common factor of n and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 137*q**3 + 0*q + 3*q - 6*q - 1 - 125*q**3 as z*q**2 + o*q + d + y*q**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 18 and 155142?\nAnswer: 155142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -20, 6, 20, -1370 in increasing order.\nAnswer: -1370, -20, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 225 and 27175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 130*k - 25 + 1455 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -2*i**3 + 60*i**2 - 60*i + 12. Calculate j(29).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -5*v. Suppose 3*d = 1 + 5. Suppose 2*i = 1 + 3. Let h(w) = -d + w + i. Give m(h(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 151186282?\nAnswer: 2, 13, 5814857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17, 44, 71?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1386 and 11186868?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 30\/25*75\/90. Which is the nearest to y? (a) -3\/4 (b) 3 (c) 70 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9530 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -13 + 35 - 4*o**2 - 13 + (0 + o + 0)*(-3*o + o + 0*o) - o**2 + 0*o**2 - o**2 + 5*o**2 + 2*o**2 - 4*o**2.\nAnswer: -5*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 47 - 17. Let q = l + -11. What is the units digit of (0 - (-10)\/2) + q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*t**3 - 2 - 14*t**2 - 11*t**2 + 25*t**2 in the form m*t**3 + p + y*t + v*t**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes after 2:31 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 451\/(-533)*5\/(-55).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 - 12*h**2 + 10*h + 10. Let n be i(11). Let c be (-29 + n)*8\/(-20). Suppose -6*m = -c*m + 90. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 - 6*x + 39. Let g be y(-10). What is the units digit of ((-1273)\/57)\/(g\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rhrydydrhyrhrrrvywyr. Give prob of picking 1 v and 3 r.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**3 - 7*t**2 + 8*t - 4. Suppose 21 = -3*f + 6*f. Suppose 0 = -f*h - 8*h + 180. What is the smallest common multiple of k(6) and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j + j**3 + 46*j**2 + 0*j + 3*j.\nAnswer: j**3 + 46*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4932 and 360.\nAnswer: 49320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from weinziiin.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/19)*w*w**(1\/6))\/(w*w**(-3)*w)**(-3\/4) assuming w is positive.\nAnswer: w**(119\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of 0*p**2 + 0*p**3 - 1\/12*p**4 + 0 - 2*p. Let x(c) = -33 + 17 - 2*c + 16. Determine r(x(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -5 - -3 - (-1 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/(-6*3\/(-48)). Suppose c + c - b = 0. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a + 1. Let o(b) = -15*b**2 + 15*b + 13. Let y(q) = -o(q) - 4*t(q). Is y(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/116049731 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j - j. Suppose j = 5*v + 4*t - 41, 4*v + 3*t - 47 = -14. Let w be (v\/(-6))\/((-3)\/4). Which is the nearest to -2\/3? (a) 5\/4 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 3*f = -6*f - 32, -8 = -n + f. Let k = 0 - n. What is the third smallest value in k, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**3 + 14*k**2 - 3*k - 33. Let m = 2556 - 2570. What is d(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-54)\/(-42) - -1*(-2 - -1). Let w be (1 - (2 + -2))*-3. Which is the closest to i? (a) 2 (b) w (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 89 - 61. Suppose f + 14 = 3*f. What is the greatest common factor of t and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8\/12*(-6)\/8. Let z = -8 - -6. Let b = z + -2. What is the nearest to j in 0.4, b, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -4*n - 1142*n**3 - 1677*n**3 - 35 + 4265*n**3 + 25*n**2. Let t be w(13). Round t to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 - 42*i - 26. Give d(42).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 811*r**2 - 166*r - 3. List the prime factors of f(4).\nAnswer: 3, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 - 45 = -4*k - 6*t - 365, -2*k - 9*t - 458 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 4, 70, 184, 346, 556?\n\"Answer: 24*h**2 - 6*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x + 4*x = 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 279\/58 - 29\/6. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/4)\/(6\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 21358, 47138, 72916, 98692?\n\"Answer: -i**2 + 25783*i - 4424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1494 - 6047\/4. Calculate the common denominator of 37\/9 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, 4, -8 in ascending order.\nAnswer: -8, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1351 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -145461, -290942, -436423, -581904, -727385?\n\"Answer: -145481*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-73)\/(-1606)*36\/27.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 15\/12364 and -71\/111276.\nAnswer: 111276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 301383?\nAnswer: 3, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 64 divided by -2329\nAnswer: -64\/2329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 234*g - 1426*g - 2228*g - 357*g - 239*g as h*g + y and give h.\nAnswer: -4016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106373.\nAnswer: 106373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-16)\/20)\/((-4)\/60*(0 - -3)). Solve -k + 21 = 5*u, -2 = v*k + 4*u - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vmp when three letters picked without replacement from smpcmvmspps?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 61*w**2 - 9*w - 3. Let m be i(-11). Let y be m\/(-18)*51\/(-15). Let q = y + -7088\/5. Calculate the common denominator of q and 69\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -128 = 2*j - 6*j - 2*t, 3*j = 3*t + 105. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -13*f**3 + 36*f**2 + 32*f + 21. Let q(z) = -7*z**3 + 19*z**2 + 16*z + 11. Let i(w) = -5*q(w) + 3*u(w). What is the second derivative of i(v) wrt v?\nAnswer: -24*v + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*j*n**2 + 43*j*n + 7*n**3 + 119922*n**2 - 16164*n wrt n.\nAnswer: 4*j + 42*n + 239844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*w = -6*w - 9906. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3548 - 3544. Solve -x - 18 = -3*b, -3*b - w*x + 2 = -1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.06432074 to five dps.\nAnswer: 0.06432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 168711139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 92.31685 micrometers?\nAnswer: 0.009231685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 221 and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s + 9. Determine w(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 42 - 39. Suppose 0*l - z*l + 3246 = 0. Let j = -19471\/18 + l. What is the common denominator of j and 9\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8196077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be 33320\/1274 - (-3)\/((-39)\/2). Let p(l) = l**3 + 7*l**2 + 6*l + 1. Let a be p(-4). Which is greater: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21 + -21. Suppose -2*q + 0*q = 0. Suppose u*b + 2*b - 22 = q. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from bbbbrbrbbb.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4.34 - -4.7. Let k = -0.04 - n. Which is the biggest value? (a) 0 (b) 0.3 (c) k (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 382 + -378. Suppose 2*a - 2*s + 33 = 289, 0 = -4*s - d. Let v = 24 + 8. Calculate the remainder when a is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(2\/5)*x*x)**(-32) assuming x is positive.\nAnswer: x**(-544\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of 0 + 11\/18*a**4 + 0*a - 7\/9*a**3 - 1\/30*a**5 + 71*a**2. Factor x(l).\nAnswer: -2*(l - 7)*(3*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 1905649 - 1100415 = -3*b, 5*h + 2004035 = 2*b. Suppose 5*n - b = -2*v, -v - 3*n = 2*v - 1503012. Round v to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -3028*l + 215005. What is u(71)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9*x**3 + x + 5 - x + 0*x wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 + -10. Suppose 5*w - 4*k = -h*k + 29, 4*k - 22 = -3*w. Calculate the highest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*i + 21*i + 60. Let o = i + 34. Solve 5*x - 22 = -t, 5*t - 2*x + o = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 20\/381 and -23\/28.\nAnswer: 10668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3601785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.5 - 12\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (40\/(-25))\/((3\/60)\/(-1)). Let s = b + -27. Suppose n = -z + s, -5*n - 4*z = -2*n - 11. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + o = -j - 2, -4*o = -5*j - 10. Suppose 3*i - 3*q - 30 = 0, o = i - 2*q + 3 - 13. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1579 - 1564. Solve b*y - 12*y - 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 49, -2\/3 in increasing order.\nAnswer: -2\/3, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 450525329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 13, 16, 19, 22, 25?\n\"Answer: 3*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 400 from -0.404949497.\nAnswer: -400.404949497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.010134 rounded to four decimal places?\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 3, c: 3}. What is prob of sequence cnnc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 52 * -214803.\nAnswer: -11169756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -67 in 0, -23, -1\/3, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -100*-18*(-11)\/(-1320).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1282*r + 91 - 257 + 95 + 71.\nAnswer: -1282*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ehohod. Give prob of picking 1 h and 1 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(175)*-2)**2 + 0.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 24 - 8. Put 3, 5, i, -3 in descending order.\nAnswer: 5, 3, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n - 5. Let k be d(7). Suppose -140 = k*u - 6*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 * 0.007\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -479 divided by 1.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 - -6. What is the derivative of -3 - 3*z**i + 3*z**2 - 2*z**3 - 1 wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 76\/(-2793)*21 + 3\/(-3)\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3*(-20)\/(-6)*552\/345\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (-6 + 7 - -4) - (6 + -29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 4:54 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -5*n**2 + 0*n - 3*n**3 + 3*n**3 - 8*n**3 - 3*n. Let k be t(-3). Let q = k + -78. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -640155, -2560572, -5761267, -10242240, -16003491, -23045020, -31366827?\n\"Answer: -640139*y**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 7) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/((-6)\/(24\/4))*-1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24.4828 - 0.0972. What is u rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 236 divide 6266941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 552 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/14688 and 43\/6?\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 5 - 2 - 77*d**3 + 78*d**3 + 2*d - 8*d**2. Determine h(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1350427083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15 and 550.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 73529130 divided by 1335.\nAnswer: 55078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1218 divided by -21511\nAnswer: 174\/3073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2121 + 2141. Solve -4*t = 2*r - 16, 0 = -3*t - z*r + 24*r + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2079442 or 2079440?\nAnswer: 2079440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 - (15 - (24 + -18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4788278.\nAnswer: 2, 11, 23, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 132 by -2337.\nAnswer: -44\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/13, -0.2, 1\/31, 2\/85?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 600*-25*60\/50. What is t rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 129 + -125. Suppose -m + g*o + 36 = 0, 5*m - 2*o = 3*m + 54. Solve -r = -5*u - 17, -4*u + 8 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 4 + 3 = 0. Let x be ((-28)\/20)\/(j\/5). Suppose -9*p + x*p = -32. What is the greatest common divisor of p and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 - 5.3. Let m = 0.5 + 0. Let v = m + a. What is the third biggest value in -2\/7, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-6)\/4)\/(2\/4). Let c(n) = n + 1. Let s(u) = 6*u + 28. Let m(d) = -10*c(d) + s(d). Let t be m(6). Sort -5, t, i.\nAnswer: t, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*u + 14, -2*t = u + 13. Let v = 3 + -4. What is the closest to 0 in v, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0\/35*(-2)\/4. Suppose u = -3*y + 147, -7*u + 10*u + 5*y - 445 = s. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41430 is divided by 20709?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = r + 4*u + 20, -r + 2856*u - 2861*u = 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.7, 141069, 11, -1\/2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 44464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 59 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 6*j**2 - 2*j + 4. Let p(s) be the third derivative of 7*s**5\/60 - s**4\/12 + s**3\/2 - 2*s**2 + 358. Calculate 3*i(r) - 4*p(r).\nAnswer: -10*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2034371200, 2034371202, 2034371204, 2034371206, 2034371208, 2034371210?\n\"Answer: 2*c + 2034371198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the second derivative of 2*y**3\/3 - 55*y. Let h(p) be the first derivative of 2*p**3\/3 - 2. Calculate h(w(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:08 AM and 1:49 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 83 is divided by 22 + 15*(-9)\/(-45).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000286433 rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -18446 - 4?\nAnswer: -1844a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0021372501 rounded to six decimal places?\nAnswer: 0.002137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -31 (b) 49.5 (c) 1.502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4172, -4781, -5796, -7217, -9044, -11277, -13916?\nAnswer: -16961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 20058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is (1*-1)\/((-2875)\/(-719) + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153) - sqrt(153)*1 - sqrt(153) - sqrt(153))\/sqrt(9))**2 + sqrt(51)\/sqrt(3)*-1 + 1 - (sqrt(612)\/(sqrt(12) - sqrt(108)) - sqrt(51))\/sqrt(3)*-1.\nAnswer: -5*sqrt(17)\/2 + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-2)\/8)\/((-3)\/(-26)))\/(((-1577)\/114)\/83).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 3, -1, 2, 7 in ascending order.\nAnswer: -5, -1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 219*c**2 - 91*c**2 - 63*c**2 - 61*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.4 and 445978775.\nAnswer: 445978774.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of -7\/6*d**3 - 3\/4*d**4 + 9*d + 0*d**2 + 0. What is the second derivative of j(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.0726? (a) 71 (b) 21 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 12029.29 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -2*t**2 + 2*t + 3. Let s(f) = -8*f**2 + 9*f + 13. Let r be (-4)\/18 + 64\/(-36). Determine r*s(l) + 9*o(l).\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -864021 + 864050.30056. Let i = n + -29.3. What is i rounded to 5 decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 + -1)\/(-9) - (-9424)\/72. Suppose 0 = -128*i + x*i - 60. Solve 14 - i = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 78*v - 31. What is the remainder when 227 is divided by z(1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 221 divide 158893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l = -t - 17, -4*t + 1351*l = 1346*l + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*j**3 + 33636*j**2 + 235623*j - 269256.\nAnswer: -3*(j - 11219)*(j - 1)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 15 + -9. Suppose 46*k - 51*k + 30 = 0. Let x be k - (0 + -7 + 14). What is the closest to x in 0.2, 1, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 291143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -156*a + 7346. Calculate k(47).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(272) - (sqrt(833) + 0)**2) + (6*sqrt(68)\/sqrt(4) - (2 + sqrt(17))*-1)**2)*4.\nAnswer: 16 + 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2*i**2 - 15*i + 2. Let y = 386 + -375. Let d(b) = -5*b**2 - 46*b + 5. Give y*s(g) - 4*d(g).\nAnswer: -2*g**2 + 19*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 AM and 7:01 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is b in -b**5 + 878*b**4 - 193589*b**3 + 377560*b**2 + 1339404*b + 767376 = 0?\nAnswer: -1, 4, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -373*x + 898*x**2 - 3315*x**2 - 6437*x**2 - 58 + 372*x - 365*x**2 wrt x.\nAnswer: -18438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 29 = 19. Let r = y - 17. Which is smaller: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9453 and 1219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11275382.\nAnswer: 2, 23, 31, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1137 is divided by 735.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-96)\/10 - -9)\/((-32)\/20)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 + -5. Determine m so that -3*m**2 + 5*m**a + 10*m + 2*m**2 + 16*m**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes after 5:06 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes before 6:38 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**3 - 2*r**2 + 2*r. Let a be s(-3). Let t = 13 - a. Let d be 81\/5 - 2\/t. What is the highest common factor of d and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -31+2.9885665837\nAnswer: -28.0114334163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6713707*g - 6713707*g - 22*g**2.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 46a8 (base 13) in base 3?\nAnswer: 111122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26783.\nAnswer: 26783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of -t**2\/2 - 44. Let j(d) = 11*d. Give a(j(h)).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/156652470 and -51\/455650?\nAnswer: 783262350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 11316727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-86)\/(-18) + (-32)\/(-144). Solve -n - 8 = -r*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r - 242 = -21*r. Let w(f) = 0 - 3 + 3 + r*f. Let j(k) = k. Give j(w(g)).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + -13631460344?\nAnswer: -13631460335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((5*(sqrt(180) + 2 + -2))**2 + -2*(-2*sqrt(1375) + sqrt(55))\/sqrt(11)).\nAnswer: -13500 - 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:37 PM and 3:08 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = r + 2*b, -40 = -4*r - 3285*b + 3289*b for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iwv when three letters picked without replacement from {i: 3, k: 3, v: 3, w: 3}.\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 17747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**2 + w**2 - w**2)*(0 - 1 + 0)*(-693*w + 79*w + 225*w).\nAnswer: -389*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-9 - 1)*(0 + 6\/(-12)). Suppose 3*y + 2 = y, -u*y + 175 = -5*d. What is the units digit of (-668)\/(-6) + 2 - (-12)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 35203158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.10731 * 0.21668.\nAnswer: 0.0232519308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 291386.7 micrometers in millimeters?\nAnswer: 291.3867","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 - 13*o**2 - 3*o - 11. Give f(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2471)\/(-4942)*(-49)\/(2*1\/4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(2\/9))**26)**(-8) assuming a is positive.\nAnswer: a**(-416\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 4*h**2 - 2*h + 2. Let z be l(1). Let s be (z - 14)*(-4)\/(-10). Let n(c) = c**2 + 2*c + 2. Determine n(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 62227*z - 140*z**3 + 30*z**2 - 62227*z - 2 wrt z.\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of 17*z**4\/4 + 17*z**2\/2 - 271*z - 87. What is the first derivative of n(o) wrt o?\nAnswer: 51*o**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000013361 to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2363073382.\nAnswer: 2, 499, 2367809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -554 > -560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 4, w: 6, p: 7}. Give prob of sequence wsw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 56*f**2*q**3 - 487*f**2*q**2 - f**2*q - 26*f**2 - 130*f*q**3 - 150*f*q**2 - 3*q**3 + 18 wrt f.\nAnswer: 112*q**3 - 974*q**2 - 2*q - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3417005013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 349\/1197 - 1\/171. Is -11\/4 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 5*p**2 - 419*p - 4789. Determine b(94).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 16.8 - -34810853.\nAnswer: 34810869.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -852, -783, -714, -645, -576?\n\"Answer: 69*j - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.01, 0.5, -0.05, -46?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 5, e: 4, o: 7}. Give prob of picking 1 m and 2 e.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -20959, -23329, -25699, -28069, -30439, -32809?\n\"Answer: -2370*v - 18589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -5*w - 2*p + 10, 5*p + 10 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8*a*l**3*x - 2*a*l*x**3 + a*l + a*x**2 - 3*l**4 + 7*l**2*x**3 - 2*l*x wrt l?\nAnswer: 48*a*l*x - 36*l**2 + 14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**2 + 13*d + 16. What is h(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 62\/6 - (-6)\/9. Let o be (-1 - 0)*(-3 - m). Is 6\/(-21) + 368\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -997956595, -997956598, -997956601, -997956604, -997956607?\nAnswer: -997956610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -38\/3 + 0. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 239886590 or 239886589?\nAnswer: 239886590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 906 = -4*r + 3457, -1897 = -3*r - 4*j. Let l = r - 382. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 12:35 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-32)\/(-12))\/8*3*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 51376.19 grams to milligrams.\nAnswer: 51376190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - 0 - 1)*-2. Let c(p) = p**2 - 4*p. Determine c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3952068 is divided by 101335.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2490 and -0.1.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 74636 in -4\/3, -0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*l - 399 + 1868 = -1731 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y - 4. Let a(h) = -h**3 + 5*h**2 + 7*h - 1. Calculate the remainder when a(6) is divided by u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6597\/8 + -836. What is the common denominator of (18\/8 + -2)*26 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 0*b - 8 = -3*d, -2*b + 17 = 5*d. Let x(m) = d*m + 7*m - 14*m - 3. What is x(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(-7)\/896*2*283\/(-283).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -298651 times -0.4\nAnswer: 119460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pgg when three letters picked without replacement from zwpqzgp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -532, -533, -534, -535, -536?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64843.\nAnswer: 61, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (2\/(264\/(-15)))\/((-720)\/1728)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((2 - 0)\/(-6))\/((-4)\/(-36)). Let x(l) be the third derivative of -l**4\/24 + l**3\/6 + 7*l**2. Determine x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 112736 and 163512?\nAnswer: 2304211104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2682 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 893 + -1102. Which is smaller: b or -208?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s**2\/13 + 20680914*s\/13 - 20680912\/13 = 0.\nAnswer: 1, 10340456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 19575 and 253800?\nAnswer: 7360200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -45342255 (base 6) in base 9?\nAnswer: -2535758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3964 is divided by 1319.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = p + 5*u, 11 = -2*p + p - 3*u. Let a be ((-64)\/(-40))\/(2\/5). Suppose -3*d + 9 = 0, -a*r = -d + 18 - 3. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 4*a**2 + 5*a - 9. Let h(n) = 9*n**2 + 11*n - 19. Let o(g) = 6*h(g) - 13*y(g). Let r be o(4). Suppose b = 4*b - r. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f + f + f)*(-4*f**3 - 4*f**3 + 5*f**3)*(14 + 1 - 5).\nAnswer: -60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 93608, 187230, 280852, 374474, 468096, 561718?\n\"Answer: 93622*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 - (17 - 65 - -28) - (55 + 0 + -1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a - 1. Let z(v) = 10*v - 36. Let m(x) = 5*h(x) + z(x). Is m(8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 579915048 and 32613?\nAnswer: 4659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4693, 18802, 42319, 75244, 117577, 169318, 230467?\nAnswer: 301024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3067 - 2175. List the prime factors of (a - -14)*2\/1.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 PM and 6:19 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand g**4 - 2*g**4 + 3*g**4 + 33*g**4 - 22*g**4 - 15*g**4 + (4*g + 0*g - 2*g)*(0*g**3 + 0*g**3 - g**3).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18175?\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, y: 13}. Give prob of sequence yhh.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5943771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 7 = -4*d, -2*i - d - 6 = -18. Suppose -5*k - 4*o + 134 = 0, -k + 71 = -3*o + 29. Suppose -i*c = -2*c - k. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*q**2 - 66*q**2 + 184*q + 80*q.\nAnswer: -98*q**2 + 264*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1693280 divided by 4\nAnswer: 423320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 5014.817 nanograms to grams.\nAnswer: 0.000005014817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 141029045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 334188890*w**2 - 206527590 wrt w?\nAnswer: 668377780*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - -d93?\nAnswer: d95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -80944085.1 to the nearest 100000.\nAnswer: -80900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5297?\nAnswer: 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 PM and 1:52 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 - 4 + 0*z + 0*z**3 - z + 6*z - 7*z**2. Let n = -14 - -21. Is g(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 5 = s, 5*s - 2*q + 0*q = 11. Which is the closest to s? (a) -3\/8 (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -26 - -32.3. Let w = 6.195 - i. Round w to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 55*d**3 + 54*d**3 - 13*d**2 + 20 - 16*d - 107*d**3. Does 40 divide b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 14*z**3 - 211*z**2 + 12*z + 60. What is x(15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.2 + -1.9. Let t = 1 - i. Which is the second biggest value? (a) -0.5 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 429 less than 428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-13041)\/439047 + 2225\/101\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 111*f**3 + 2*f + 101*f**3 - 312*f**3 - 2*f + 98*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13445 - 1056. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 less than -0.2496009?\nAnswer: -6.2496009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 176787333917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the first derivative of -a**2 - 6. Let n(j) = -389 - 14*j**2 + 389. Calculate k(n(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68193.\nAnswer: 3, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 86.16193mm in micrometers?\nAnswer: 86161.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-1040)*-16 + (-48)\/(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*u + 6*u + 2*c + 1982, -u + 386 = -3*c. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -33, -93, -181, -291, -417, -553?\n\"Answer: v**3 - 20*v**2 - 7*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -4*b - 3*b + 1 - b**2 - 7. Let x be q(-4). Solve 0 = -5*h + 4*n + 9, 3*n + x = 2*h - n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 312894 or 312896?\nAnswer: 312896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-5)\/(k\/(k**(3\/8)*k*k))*(k\/(k*k**(14\/5)))**(-50))**(2\/11) assuming k is positive.\nAnswer: k**(1091\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the second derivative of 51*q**5\/20 - q**4\/6 - 226*q**2 + 384*q. Find the third derivative of w(j) wrt j.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4\/(476\/(-21)))\/((5\/(-174))\/5). Which is greater: k or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1423212313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 567*j**3 - 2861*j**3 + 237*j**3 - 1315*j**3.\nAnswer: -3372*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, 48, -1.004, 0.01, -0.5, 2\/11?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 105164 (base 9) to base 16\nAnswer: f571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 766 divided by -20.\nAnswer: -383\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 60, -12, 0, -18, -4, -1 in decreasing order.\nAnswer: 60, 0, -1, -4, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7313 - -7314. Sort v, -0.1, 17, -3, -2 in decreasing order.\nAnswer: 17, v, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**4 + 228*o**3 + 4098*o**2 - 8892*o + 4563.\nAnswer: 3*(o - 1)**2*(o + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 77439*s**4 + 226008?\nAnswer: 309756*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 305563?\nAnswer: 305563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + 43114?\nAnswer: 43124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.047 - -0.047. Which is the nearest to z? (a) -4 (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 528 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 10b - 4?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18 - 13. Let o = u - 0. Let b(f) = 8*f + 90. What is the remainder when b(-10) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -3. Suppose -5*s + 3*r - 2 = 7*r, a = 5*r + 15. Suppose s*z - 10 = -3*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**3 + 5*r**2 - r + 5. Let v be j(5). Suppose -3*y = -v*y. Let h be 17 + 4\/(y - 2). Solve 6 = -2*l, 3*d = 6*d + l + h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -490, -982, -1474, -1966, -2458, -2950?\n\"Answer: -492*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 55\/2*w - 15\/4*w**2 + 925\/4 = 0.\nAnswer: -5, 37\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -210, -202, -208, -228, -262?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of -6*(-12)\/(-312) + 216349\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j - 8. Let q(p) = -p**3 + p**2 + p - 6. Let m be q(0). Let t be d(m). Let i(g) = -g**3 + g - 2. What is i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuxxxxuxuxxuuuuuxx. What is prob of sequence xuuu?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 - (-10)\/14) + 37\/7. Solve -2*f + a = -3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -30 * 229.\nAnswer: -6870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*v - 236*v = -2292. Let n(k) = -k - 8. Let d be n(-6). Calculate the lowest common multiple of v and 6\/(d\/(-6)*1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14554987.\nAnswer: 223, 65269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 6*p + f, 2*p + 2*f = 21180 - 21174 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3842ac (base 15) to base 6.\nAnswer: 133451113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19288, -19042, -18796, -18550?\nAnswer: -18304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (2\/65)\/((-270)\/(-1350))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 132*j + 744 = -139*j + 364*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -3*r**2 - 66*r - 88. Calculate w(-22).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wpw when three letters picked without replacement from wcpprscwcpppww?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71500 = -g + y, -30*g + 29*g + 71495 = 4*y. List the prime factors of g.\nAnswer: 3, 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (48\/(-72))\/(8\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7264317 millilitres to litres.\nAnswer: 0.0007264317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 84517, 84075, 83633, 83191?\nAnswer: 82749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -18088, -34933, -50534, -64885, -77980, -89813?\n\"Answer: i**3 + 616*i**2 - 18700*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 14) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**0)**42\/(g**2\/g)**(-30\/11)*((g**(1\/2))**(5\/16))**45 assuming g is positive.\nAnswer: g**(3435\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 0*z + 0*z + z**3 + (0*z**2 + 4*z**2 - 2*z**2)*(17 - 16*z - 17) in the form f*z**2 + h + l*z**3 + a*z and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 + 2*u - 1. Let j be k(-3). Let f = j - 2. Solve f = -4*v + 22 - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 88 a factor of 8340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -6984*u**2 - 3050*u + 24 = 0.\nAnswer: -4\/9, 3\/388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 5*j + 6 = 21, 5*j = 4*r + 7. Let q = 7 + r. Let c be (-5)\/20 + (-62)\/(-120). Is q >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2558 divide 416602916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 10, 4\/5, 280, -5 in ascending order.\nAnswer: -5, 0, 4\/5, 10, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -585 - -585. Solve k*g = 2*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36744 divided by -1.\nAnswer: 36744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/3*o**2 + 2\/3 - 2\/3*o + 2\/3*o**3.\nAnswer: 2*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**4 - 2*c**5 + 0*c**4 + (c**4 + c**4 + 0*c**4)*(-12*c - 8 + 8).\nAnswer: -26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 52894060 divided by 1?\nAnswer: 52894060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4431, -8904, -13415, -17982, -22623, -27356?\nAnswer: -32199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -6\/11 (b) 2 (c) 17 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/4)\/(c\/(c\/c**(2\/9))))\/((c\/(c\/c**0*c))\/c)**(-2\/53)*((c**0*c)\/c)**(-7\/9)\/(c**0*c*c)**(-1\/53) assuming c is positive.\nAnswer: c**(-973\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.6 - -0.1. Let b be -13 + 48 - (-1616)\/(-48). What is the closest to 0 in -3, b, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 3403609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 3c01b0 (base 13) to base 15.\nAnswer: 1dba33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 2*n = 3*f + 3, 2*f + 2 = 4*n. Solve n*m + 5*l = -3*m, -3*m = -l - 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of -3*v**5\/10 + v**4\/6 + 4*v - 1. Let j(m) be the first derivative of s(m). Find the third derivative of j(l) wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 13*a - 11. What is the units digit of r(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f + 3*f + f**2)*(-6*f**2 + 3*f**2 + 4*f**2 + 0*f**2 + 0*f**2 + 2*f**2 + (-3 + 1 + 3)*(4*f**2 - f**2 - f**2) - 3*f**2 - 4*f**2 + 5*f**2).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*o + 84 = -68*o - 92 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*o - 32*o + 286 + 444 = 2528 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-four thirds of a hour in minutes?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(550)\/sqrt(11))\/sqrt(10).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 - -3.05. Let z = -0.35 + n. Let c = 1 + -6. What is the nearest to 1\/2 in c, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3281 rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-7))\/(6\/(-21))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*v - 3*v + 4*v + (-v - 4*v + 3*v)*(2 + 1 - 4) + 0*v + 0*v + v + 3 - 2 - v + 2*v.\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -417*z**3 - 367*z**2 + 3966420*z wrt z.\nAnswer: -2502*z - 734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 200313 is divided by 50072?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -24 in -1.55, 0.4, 4\/123?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((198\/24)\/(-3))\/2*(-48)\/88\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 2 + 5 - 3*v**2 - 4879*v + 2*v**2 + 15.\nAnswer: -v**2 - 4879*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -4*h**4 + 14047616*h**3 + 56190512*h**2 + 56190528*h = 0.\nAnswer: -2, 0, 3511908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 4, -49, 3, 25, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the first derivative of -v**3\/3 - v**2 - 4*v - 1. Let m be b(4). Let j = m + 42. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(45) + ((sqrt(495)*1)\/sqrt(11) + sqrt(45) - sqrt(45)) + sqrt(45))\/(1*sqrt(729) + sqrt(729) + sqrt(9)) - (4 + sqrt(720) + 3)**2*-4.\nAnswer: 12771*sqrt(5)\/19 + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 215 - -318. Suppose -8*l - 5*l + z = 0. Is 41 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -2*b, 2*b + b - 6342 = -3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - 9 - 7) + 5 + 2 + (4 - 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28 + (-23 - -10) + 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 27 - 23. Let l be ((-14)\/(-140))\/(6\/q). Let j be ((-17)\/51)\/((-2)\/(-6)). Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of -g**6\/1260 - g**5\/42 - 26*g**3\/3 + 26. Let p(y) be the third derivative of h(y). Factor p(t).\nAnswer: -2*t*(t + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -69, -93, -79, -27?\n\"Answer: 19*h**2 - 81*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 + -0.0001778.\nAnswer: -0.4001778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -41 - -41.034. Let m = 3023.0339895 + -3023. Let r = m - s. Round r to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24\/(-28))\/(15\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8951893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 + 5. Let v = 1 + t. Let u = v - -0.2. What is the nearest to -1 in -3, 2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3713 + 6091. What are the prime factors of l?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11.9 - 11.916. Let v = d + 31.416. Round v to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 7 (b) 2\/5 (c) 0.5 (d) -0.6 (e) -89\/2 (f) -2.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3528 + -3974. Which is the nearest to -0.1? (a) w (b) -1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -4*y - 4*y + 2201 - 2206 + 5*y**2 + 3*y. What are the prime factors of c(-6)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 210*c - 75*c - 70*c - 118*c + 742 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-5*(sqrt(270)*3 - sqrt(270)) - sqrt(270))\/(sqrt(120)\/sqrt(3)))**2.\nAnswer: 81675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16 + 11. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = y - 5*b + 105, 4*y + b = 85. Let w be 4\/(-10) + 268\/y. Let h = 40 - w. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -81, 2, 1, 40630, 5, -4 in increasing order.\nAnswer: -81, -4, 1, 2, 4, 5, 40630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2*r**2 - 7*r + 4. Let b(z) = -z + 1. Give -4*b(l) + d(l).\nAnswer: -2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - b - 3*b = -46, 5*s - 3*b - 18 = 0. Suppose -s*y - v = -y - 159, -23 = -y + 2*v. Solve -6 = -5*p - y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 206, 211, 216?\n\"Answer: 5*t + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the second derivative of -x**3\/3 + 11*x**2\/2 + 618*x. Let j(f) = 0*f**2 + 2*f**2 - 3*f**2. Calculate j(u(p)).\nAnswer: -4*p**2 + 44*p - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 2 + (sqrt(2) - (sqrt(18) + -3) - sqrt(2)))**2.\nAnswer: -18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -10022 (base 4) to base 15\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 10579510549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 803*x**3 - 3*x**2 + 8*x - 4. What is the units digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -9*h - 5. Let d(j) = -j**3 - j**2 + 3*j + 1. Let f be d(-2). Let x be f + 1 - (-6 - h). Which is the closest to 0? (a) x (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 240011188.\nAnswer: 2, 60002797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t + 0*t - 2*t)*(-54989*t + 20609*t + 27416*t) + (-1 + 1 + t)*(2*t - t + 0*t).\nAnswer: 13929*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 4*k**2 - 14*k - 62. Let t(g) = -g**3 + 7*g**2 - 26*g - 122. What is 11*b(a) - 6*t(a)?\nAnswer: 6*a**3 + 2*a**2 + 2*a + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 21 + 32)*(-7 + 4 + 1)*(-9*l**3 + 13*l**4 + 9*l**3) in the form b*l + z*l**4 + d*l**2 + r + j*l**3 and give z.\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1222 - 310314?\nAnswer: -312041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*l + 2436 = 74*l + 23*l - 4867 for l.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = p - 6*p. What is the lowest common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -54, 2487, 0, 932 in decreasing order.\nAnswer: 2487, 932, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a = -3*c + 8*a + 4, 0 = -5*c + 4*a + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y - 27 = 99. Suppose 0 = -3*i + y + 1161. List the prime factors of i.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 47560485 by 3170699.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 0, 0 = 2*g + 7*i - 8*i - 618. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 554642941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x - 13 + 13 + x**2 + 3*x - 3*x - 2*x**2 + (0 - 2 + 1)*(-x + x + x**2) + x**2 - x**2 - x**2.\nAnswer: -3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1\/4)*m)\/(m*m**(2\/5)*m*m))**(15\/7)*((m*m**(2\/9)*m*m)\/(m\/(m*m\/m**(-2))))**(-1\/12) assuming m is positive.\nAnswer: m**(-4685\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, d: 18}. What is prob of picking 2 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -29322 = -967*j + 1823*j - 2786 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-19)*n\/n**(-9\/5))\/(n**(-4\/5)*n*n**(-8\/13)) assuming n is positive.\nAnswer: n**(-1026\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 0.9 (c) 0.1 (d) 0.3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 3*g = -115, 0 = 2*x - 3*g - 56 + 3. Let i be 48\/x + (-2)\/(-7). Suppose -u - i*u + 156000 = 0. What is u rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*r = 25*r + 25. Let n(g) = 2*g**2 + 7*g - 2. Calculate n(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 550*f**2 + 7*f + 112. Let c(p) = 276*p**2 + 3*p + 50. Calculate -9*c(q) + 4*d(q).\nAnswer: -284*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.0554 - -0.0715. Let o = 0.0161 - c. What is the nearest to -28 in -4, 4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mrbiiyicbbbbyyi. Give prob of sequence mcr.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*p + 0*p + 16 = 0. Solve 0 = -p*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 2*y**2 - 3*y + 2. Determine t(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -11040396 divided by 39012?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2149 divided by 5.\nAnswer: -2149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - -16) + -27 + (-55 - -27).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-eight fifths of a hour in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**10)**(-2\/57) assuming h is positive.\nAnswer: h**(-22\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*v**3 - 25*v**3 + 77*v**3 - 26*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.06 and 2.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -451556 (base 12) in base 15?\nAnswer: -16b59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x**2 + 5*x - 4. Let w = -168 - -173. Calculate j(w).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 - 8*y - 19 + 17*y - 9*y + 28 - 32*y**2.\nAnswer: -32*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-240)*4*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 12:13 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -19*y**3 - 1941 + 23*y**3 - y**3 - 122*y - 12*y**3 wrt y.\nAnswer: -27*y**2 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2478 is divided by 499.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (47\/(-94))\/(((-10)\/(-184))\/(-5)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 319 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 71\/1517 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 160160223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1 times 72040\nAnswer: -72040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -20 + 195?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - 6*p**2 + 3. Let k be z(6). Solve k*b + 13 + 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 245*q**2 - 245*q**2 - 3 + 8*q**3.\nAnswer: 8*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 4\/9225 and -17\/15.\nAnswer: 9225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*y - 54 + 5 - 26 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a. Let n(v) = 14*v - 30. Let q(x) = x - 2. Let r(t) = -n(t) + 3*q(t). Let o(h) = -4*l(h) - r(h). List the prime factors of o(9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 41*a - 1. Suppose 6 - 1 = 5*i. What are the prime factors of w(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1385097349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (0 - 29) + (28 - 47) + 24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-2)*(-2 + 18). Suppose -3*s = -12*s - 45. Let q(u) = u**3 - 8*u**2 + 3*u - 8. Let j(v) = v**3 - 5*v**2 + 2*v - 5. Determine s*q(z) + x*j(z).\nAnswer: 3*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-128)\/8 + 12\/1. What is the nearest to 0.1 in 2\/5, 1\/5, y, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the first derivative of -p**2 - p - 81. Suppose -5*k = -v - 25, 4*k + 3*v = -2*v + 20. Let w(q) = -2*q - 1. Give k*w(l) - 4*z(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -45 - -54. Let n = 11 - p. Sort n, -1\/4, -5\/6 in decreasing order.\nAnswer: n, -1\/4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-8)\/g*g**22*g)**(-15\/8) assuming g is positive.\nAnswer: g**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 1 - 17. What is the lowest common multiple of 18 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 186511 - 93235 - 93276 + 2270*m.\nAnswer: 2270*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27933867, 27933868, 27933869, 27933870, 27933871?\nAnswer: 27933872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**2 - 20*p - 30. Let s be y(-18). Suppose -6*h - s = -9*h. Suppose 9*v + 3*v = 216. What is the highest common factor of v and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.18586 - 0.02522. What is k rounded to 3 dps?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14794?\nAnswer: 2, 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = c - 17. Let a(v) be the third derivative of -1\/12*v**5 + 1\/120*v**6 + v**2 + 0 + 1\/12*v**4 + 2\/3*v**3 + 0*v. Calculate a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -352499 divided by 13\nAnswer: -352499\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be -40*(-6 - -8)*5\/2. Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/7 - 6\/(168\/(-47)). Is v less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 25\/(-225) - (-165)\/27. Let y(u) = 21*u - 126. Let b be y(l). Solve -2*x = -g + 3*g - 18, b = 5*x + g - 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 + -13781376718712?\nAnswer: -13781376718711.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -41 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6925.2107 + -4910.22748. Let h = 2015 - r. What is h rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 5*q - 3, -2*n - 5*q - 3 = -0*n. Suppose -h - n*h - 98 = 0. Is h less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/15 and 3\/1745?\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 115 - 120. Let z be (-629)\/19 - 4\/190*l. Which is smaller: -34 or z?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -20, 5*i - 3*j = 6381 + 27564. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 + 8)*((2 - 2 - 2)*(v - v + v**2) + 0 + 0 - v**2)*(-7*v - 80*v - 100*v).\nAnswer: 1683*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + 6 - (1 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 72\/6 - 4994\/411 and 53\/18.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18\/5 in 2\/21, -5\/14, 1777?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 37298385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 2*n + 12 = 30, n = -3*s + 35. Let t(i) = i**3 - 10*i**2 - 8*i - 3. What are the prime factors of t(s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -14*k - 2*k**2 - 16*k + 4 - 36*k + 42*k. What is the remainder when 5 is divided by p(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of v**3\/6 + 18*v. Let o(t) = 6*t. Calculate i(o(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -605446*u**3 + u**2 - 1. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 1321573 and 0.08.\nAnswer: 1321573.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -h**2 + 5*h + 278*h**3 - 280*h**3 - 5*h + 18*h + 7*h as w*h**3 + p + g*h**2 + i*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14885 - 13667. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 80 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1050*j**5 - 10454*j**4 - 8 - 10458*j**4 - 140*j**2 + 20912*j**4 wrt j.\nAnswer: -63000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 (base 10) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15983?\nAnswer: 11, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1409*-0.2\nAnswer: -281.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 - 108*f**2 + 2516*f. Give h(74).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 298105176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of -b**5\/120 + b**4\/2 - b**3\/6 - b**2. Let z(g) be the first derivative of k(g). What is the units digit of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -10*v**3 - 4*v**2 + 7*v - 5. Let i be m(-3). Let z = i - 196. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/((-11)\/305789*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/9*v**2 - 44\/9 - 8\/3*v.\nAnswer: -(v + 2)*(v + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 448\/(-2016) + (-86)\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 + -13.2. Let s = 56 - 57. Which is the closest to -1? (a) -2\/11 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + a + 188, 30*q + 3*a + 938 = 35*q. Suppose 72 = 4*m - 3*x - 0*x, 121 = 5*m + 4*x. Calculate the remainder when q is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**3 - 14*s**2 - 31*s - 79. Let k be g(-12). Which is the second biggest value? (a) k (b) -1\/3 (c) 31 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 12*o**2 + 117*o - 9. Let u be w(-10). Solve 5*t + 32 = u*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103344 is divided by 13580?\nAnswer: 8284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 59209628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 21735763 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 285935036?\nAnswer: 2, 17, 43, 97789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*s - 5*s + 3645. Let k be s\/6 - (-1)\/(-2). Suppose -8*a - 99 = -17*a. What is the greatest common factor of a and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -401.539 + 0.039. Let w = -401 - y. Let v = 0.37 + -0.15. What is the smallest value in -5, v, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (88*v**2 - 58*v**2 + 34*v**2)*(-29 + 13*v - 3*v + 30)*(-3 - 3 + 5) in the form t*v + l + c*v**3 + z*v**2 and give c.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Suppose -94*a + 16*a = 28*a. Let q(k) be the second derivative of a - 4\/21*k**3 - 1\/21*k**6 + 0*k**2 + 13\/70*k**5 - 18*k - 2\/21*k**4. Let q(u) = 0. What is u?\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2553810 = -98*o - 59*o + 227*o. List the prime factors of o.\nAnswer: 3, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 114 smaller than 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be 19\/(-5) - 1\/5. Let y be 1332 - (-2 + -1 - z). Let v = -131 + y. Round v to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*a - 5*a - a + (3 - 1 + 0)*(0 + 2*a + 0) to w + g*a and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**2. Let i be u(-1). Let f(m) = -2*m**3 + m**2 - 1. Let x be f(i). Let n(v) = -v**2 + 6*v + 6. Let z be n(5). Solve -1 + z = x*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 11101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 4*g - 2*n, -7*g + 3*n - 19 = -2*g. Let b be 3\/(-5 - g) + 17. What is the greatest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1507, -2933, -5317, -8665, -12983?\n\"Answer: -v**3 - 473*v**2 - 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000005155827995 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*b**3 - 13*b**3 - 14*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -4*j + 6*j. Put -4, 5, j in decreasing order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -28*m + 146. Let a(g) = 14*g - 74. Let p(r) = -11*a(r) - 6*y(r). Let t be p(12). What is the highest common factor of 159 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-396)\/96)\/(-33)*(-281 - 623)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 75 = -d + 4*a, -21 = 1246*d - 1263*d - 4*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 - -4.98. Let v = 1.02 + c. Let q = -87 - -87.4. What is the closest to -2\/3 in q, -4, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mjsuskuzzsjuumjm. What is prob of picking 1 z and 1 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 4*d + 115896 - 20796, -4*d + 12 = 0. Find the second derivative of -o + 23778 - 164*m**2 + 149*m wrt m.\nAnswer: -328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1278 and 351?\nAnswer: 49842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 18219849.885 and -1171?\nAnswer: 18221020.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -260 = -2*g - 24*g. Let c be ((-20)\/4)\/((-2)\/22). Suppose -5*p - c = -g*p. Solve -4*v + p = -4*z + 3, z - 10 = 5*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of r**8\/112 + r**7\/70 - r**6\/20 - 6*r**2. Solve n(z) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 165 - 167. Let p = 18 - k. What is the remainder when 32 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50055277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (702\/30)\/(8655\/14425)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 11) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 28.138 rounded to zero dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(52)\/(sqrt(64) - sqrt(4)) + ((sqrt(1300)*-2)**2 - sqrt(13)) + (6*(4 + sqrt(1573)))**2.\nAnswer: 9502*sqrt(13)\/3 + 62404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -9*g**3 - 7*g**2 + 9*g + 7. Let p = -7 - -13. Let k(m) = -4*m**3 - 3*m**2 + 4*m + 3. Let u(a) = p*x(a) - 14*k(a). Factor u(r).\nAnswer: 2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.04? (a) -1 (b) -2 (c) 91 (d) -2\/7 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-2)*0*6\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zqqqqqbqzlwqqqqwqqw. Give prob of sequence qzb.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**24\/b)\/(b*b**5))\/(b**(5\/2)*b**(1\/8)) assuming b is positive.\nAnswer: b**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -21 != -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.11473 from -58166.784.\nAnswer: -58166.66927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -69, 123 in decreasing order.\nAnswer: 123, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 416541628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000221471 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8333.13 + -8333. Which is the nearest to 4\/21? (a) n (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, t: 2}. What is prob of picking 1 a and 1 t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 869*p**4 + 4*p**3 + 37165*p**2?\nAnswer: 20856*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - w + 4*o = -6, 3*w - 6 = -2*o. Suppose -5*p = r + 11, 4*p = 7*r - 2*r - 32. Calculate the remainder when r is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 154515, 4 in ascending order.\nAnswer: -2, 4, 154515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the third derivative of -i**6\/165 + 7*i**5\/330 - i**4\/44 + 2*i**2 + 4*i. Solve b(z) = 0 for z.\nAnswer: 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-303)\/(-3434)*(-12)\/(-9)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -123*p**2 - 49*p**2 + 87*p**2 + 82*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 3*r - 0*r + 616, -154 = -y - 5*r. Suppose -d + y = -216. Suppose -1874 = 6*i + d. Round i to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6319447185.\nAnswer: 3, 5, 31, 13590209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.7 - 0.3. Let x = -2 - p. Let w = 4 + -3. Which is the second smallest value? (a) x (b) w (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -67*x + 2*x**3 + 2*x**2 + 121*x**4 - 128*x**4 - 3*x**2 in the form r*x + s*x**4 + u*x**2 + g*x**3 + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 3\/4, 4, 24, -1\/6, 37\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -176*t + 177*t - 48 + 53 = -4*f, -5*f + 14 = -t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -6*u**2 + u. Give f(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 - 4*l**2 + 5*l + 2. Let g(y) = -6*y**2 + y. Let s be g(1). Let n be h(s). Factor 2*w**3 - 6*w**3 + 2*w**3 - 2 + 2*w**n + 0*w + 2*w.\nAnswer: -2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.1120891 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add -0.5 and -1927.91.\nAnswer: -1928.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 28362 bigger than 28493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25 - -31. Suppose 2 = -n - 4*j, -2*j = -2*n - 3*n + x. Let g be 18\/81 + n\/36. What is the closest to g in -0.4, -4\/5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4253 - 4245. Solve 16 = y*d - 12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 7417 = 2*k - 987, u = 3. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 154 + -165. Sort k, 0, -4.\nAnswer: k, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (25\/(-5) - -6)*(1 - -1). Let v(q) = 2*q + 3. Let a be v(z). Solve 13 + a = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 5*i - 270, i = -2*i - 3. Suppose -19*x - 72 = -15*x. Let u = 0 - x. What is the remainder when p is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*z**3 - 5*z**3 - 8*z**3 + 5*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 3*l + 51, m + 5*l + 70 = 5*m. Suppose -m - 118 = -7*d. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five halves of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*q - 495 = -0*q - 41*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of 0*m - 1\/240*m**6 + 0 + 0*m**3 + 1\/96*m**4 + 101*m**2 - 1\/240*m**5. Suppose k(z) = 0. Calculate z.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1516*z + 756*z = -762*z + 2 + 8, w + z - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be 12*(3\/(-9))\/(-1) + 1. Solve -w + 25 = 3*j - x*w, -w + 11 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25 + 371 + -362 + -1 + -108?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.8 + -14682.512.\nAnswer: -14679.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + ((-4)\/2 - -2). Let p = s + 79. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -15 * 526484.\nAnswer: -7897260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*x + 4*x - 2*x**3)*(3023 - 6070 + 78975*x + 3047).\nAnswer: -157950*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/8, 6, -1\/17, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 73 - -10. Let h = 0.9123858 - 83.9137658. Let c = t + h. What is c rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 PM and 4:56 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*u - 46*u - 2*l - 3 = 0, -u + 3*l + 2 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 44910194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 15377883 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 134.8 - 123. Let g = 12 - s. Let x be (2\/(-5))\/(6\/5). Sort g, -0.1, x in decreasing order.\nAnswer: g, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 10*o - 12*o. Suppose -3*d = -f + o*f - 392, -2*d + f + 252 = 0. Suppose -5*i + d = -37. Is i < 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 23*x + 15. Let m(g) = 13*g + 5. Let h(f) = 53*f + 19. Let o(a) = -2*h(a) + 9*m(a). Let c(y) = -2*k(y) + 5*o(y). Is c(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -104 + 106. Let u(q) = 3*q**3 - 2*q**2 + 7*q - 39. Let c(m) = 7*m**3 - 5*m**2 + 14*m - 77. Let j(b) = y*c(b) - 5*u(b). Differentiate j(p) wrt p.\nAnswer: -3*p**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**2 + 11310*l - 11307.\nAnswer: -3*(l - 3769)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 - 6*t**2 - 6*t - 4. Let n be g(-5). Let r(f) = f**2 - 14*f - 68. Calculate the lowest common multiple of r(18) and 7 - n - (-2 - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7\/5? (a) 2.2 (b) -4 (c) -1\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5 and 25824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 + i**2 + 3*i + 91. Let v be b(0). Let a = 98 - v. Solve u + a = -3*r, 5*r + 2*u = -13 + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**2 + 27406065*y + 27406070.\nAnswer: -5*(y - 5481214)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20 - 20 + 5*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -l + l. Let n(w) be the second derivative of 2*w + l*w**4 + 0*w**3 - 1\/20*w**5 + 0 + 3\/2*w**2. Find the first derivative of n(d) wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 789174.91?\nAnswer: 789165.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes before 2:41 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 507*p**3\/5 - 3861*p**2 + 173736*p\/5 + 193548\/5 = 0. What is p?\nAnswer: -1, 254\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 22640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*w + 39 = -8*w. What is the remainder when w is divided by (-6 + 7 - (-3 - 2)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.33659 + -0.23659. Let p be -3 + 1 - (-4 - 0). Let q be -1*p - (-30)\/16. Which is the third biggest value? (a) t (b) 4 (c) 10 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 24*w - 22*w. Suppose -3*n + b = -w, 5*n - 1 = 4*b + 1. Solve 4 = n*r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3638704291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -11, -1\/2 in ascending order.\nAnswer: -11, -1\/2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*g + 40 = 84*g. Solve g*y - 5 = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29\/2710 greater than or equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 7 = -5*c - 21, -2*c - 4 = 2*l. Suppose 0 = 3*v + l*v. Suppose 68 = 2*g + 2*d, g - 31 = -2*d - v*d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -159.22 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -16 * 4.21\nAnswer: -67.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 444 + -148. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4055 and 2.\nAnswer: 8110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 - 8. Let x be (-18)\/(-8) + (-1)\/4. Suppose -x*b + 2*a + 4 + 2 = 0, n = -4*b - a - 13. What is the third smallest value in -5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) 89 (b) -0.01 (c) 13\/84 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -7 (c) 3 (d) -1\/19 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 5, 3*i - 320 = -8*s + 3*s. What is the remainder when 183 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 3*x + 16818 = 3*h, 2*x - 16828 = -4*h. List the prime factors of h.\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -6, 25441419 in ascending order.\nAnswer: -6, -4, 25441419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -1\/541?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2692 - 2696. What is the smallest value in q, -1\/10, -10\/23?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 244 + 1232 = 36*h. Solve 233 - 28 = -h*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 2*t - 25 = -h, t - 4*t = -4*h + 54 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2326.3 times -0.961?\nAnswer: -2235.5743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 112 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 648953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 1 + 4004\/(-637)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of -l**3\/6 - 3*l**2\/4 + 5*l - 31. Factor z(d).\nAnswer: -(d - 2)*(d + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58 (base 9) in base 6?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 984536583 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 16024867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/4)\/(1\/(-16)*-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h**1\/h*h))**(1\/4)*(h*h\/h**1)**(-2\/43))**(-12\/13) assuming h is positive.\nAnswer: h**(153\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 4*a**2 + 6 - 9570*a**3 + 13*a - 14 + a**2 - 9*a**2. Let u be t(8). Round u to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the second derivative of l**5\/20 - 5*l**4\/12 + 3*l**2\/2 - 2*l. Let i be m(5). Suppose 4*f**4 + 0*f**i - 3*f**4 + f**3 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2224 + -2194. Calculate the lowest common multiple of 1143 and p.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -3*g - 8. Let s be m(-6). Let d = s - 8. Solve -8 = -2*t - d*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes after 5:54 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 358665 divided by 5?\nAnswer: 71733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 1032*t - 5*v + 55 = 1027*t, 3*t = -v - 29 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i**0*i))**(-40)*((i*i**(-2\/3))\/i*i)**(2\/125) assuming i is positive.\nAnswer: i**(2\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0 - (-590 - (-3 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 6*x**2. Let a(q) = -5*q**2. What is 3*a(v) + 2*z(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/(w**(-4)\/w*w)*w**(3\/4))**(3\/22) assuming w is positive.\nAnswer: w**(81\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5906232 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, -5, 309, 66, 5 in decreasing order.\nAnswer: 309, 66, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be (((-245)\/15 - -16)*3)\/(1\/(-3)). Solve 4*u - 5*s = -3, v*u - 4*s + 4 = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4645916, 9291836, 13937756, 18583676?\nAnswer: 23229596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -2*x**3 - 12*x**2 - 7*x - 5. Let m be (-2420)\/(-363)*(0\/10 - 6\/8). Calculate c(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 62 + -51. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8398*a*s**3 + 135*s**3 + s - 1 wrt a.\nAnswer: -8398*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j**4\/11 + 49*j**3\/11 + 16*j**2\/11 = 0. Calculate j.\nAnswer: -16, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -2*z. Let y(k) = 2*k + 3. Let l(s) = 1. Suppose -2*d = -1 - 1. Suppose 7*q + 12 = 3*q. Let r(w) = d*y(w) + q*l(w). Give r(h(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 7*n**3 - 6*n**2 + 10*n - 6. Let p be z(2). Suppose -4*t + 2*k = -32, -k - p = -t - 4*t. Calculate the highest common factor of t and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the first derivative of -4*x**4 + x**6 + 3*x**3 + 2*x**4 + 3 + 2*x**4. Find the third derivative of n(g) wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -31*r**3*w**3 + r**3*w + 2*r**3 + 2*r*w**3 + 5*w**2 + 333*w + 10 wrt w?\nAnswer: -186*r**3*w + 12*r*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -74*d**2 - 232*d - 67. What is o(-4)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 26*y**4 + 44*y**3 - 4399.\nAnswer: 104*y**3 + 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 271, 8, 2?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 212021110010 (base 3) in base 16?\nAnswer: 6fd9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*g**3 + 380*g + 386*g - 766*g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 3. Let i = 32582\/17 - 1916. Let u = i - 224\/323. What is the nearest to 2 in u, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 181222*x**6 - 176*x**2 + 96*x - 1.\nAnswer: 21746640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 + 0. Let q be (0\/k - -1)*0. Suppose 3*w + q*o - 5*o - 19 = 0, 3*w = -o + 7. Let g(i) = i**2 + i - 4. What is g(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45305621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 5*a + 14648 = 4*s, 20 = 5*a. Suppose -52*d + 83*d = s. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-90)\/54)\/((-2330)\/36). What is the third biggest value in 4, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rverrsvedvvs. Give prob of sequence rr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-7)*s)\/(s**5\/s))**13\/((s**(3\/2)\/s*(s\/(s\/s**(-1)))\/s)\/((s\/((s*s\/(s*s\/s**(2\/15)))\/s))\/((s**(2\/13)\/s)\/s))) assuming s is positive.\nAnswer: s**(27383\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2173, -10, 2 in ascending order.\nAnswer: -2173, -10, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 - 39*y + 286. Let j be w(29). Let c(t) = -3*t**2 - 5*t + 2. Let o be c(3). Is ((-48)\/o)\/(j\/(-50)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 594 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 269 + 65. Suppose -3*s = -11 + 2. What is the tens digit of (3\/2 + -4 + s)*q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11\/5 - -73\/40. Let z(n) = n - 9. Let g be z(5). Let p = -4903\/15 + 327. Which is the smallest value? (a) g (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2*d**3 + 0)*(-3 - 2*d + 3)*(2 - 2 + 5).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 87\/7 + -414\/35. Let y = -131.9 - 27.1. Let z = y - -163. What is the biggest value in m, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18 + 198*j - 102*j + 75 - 97*j to the form h + n*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**4*g**(-1)*g)**(8\/9) assuming g is positive.\nAnswer: g**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 88 = -2*o. What is the tens digit of (-2)\/((6\/o)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/288 and -83\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 8779, 15421, 22063, 28705, 35347?\n\"Answer: 6642*n + 2137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -42128 divided by -16\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**2)**46*l\/(l\/l**19)*l*l*l\/l**(-13) assuming l is positive.\nAnswer: l**173","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -680*x - 2706 - 13708 = -114*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 132874 + -53735. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -5 + ((-13)\/(52\/(-48)) - 2). Let a(j) = j - 3. Let r(o) = 3*o - 7. Calculate q*a(y) - 2*r(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4*z + 1)*(-24315*z - 4 + 24415*z + 4) + (-5*z**2 - 2*z**2 + 4*z**2)*(-3 - 2 + 0).\nAnswer: 415*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 + 159. Let w(u) = -2*u. Give w(i(q)).\nAnswer: 2*q**2 - 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 5 - 34 - -1 - -12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -4*n - n - 37*n**3 + 41*n**3 + n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2154.263l to millilitres.\nAnswer: 2154263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 239396 is divided by 26589?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - -3. Solve 0 = r*q - 4*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iy when two letters picked without replacement from {b: 6, y: 1, x: 4, i: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2*w - 8*w**3 + 10*w**3 + 3*w**2 - 16*w**2 in the form g*w**2 + z*w + l*w**3 + j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 341\/15 + -68\/3. Let s(n) be the second derivative of -1\/3*n**2 + 0 - b*n**5 - 13\/36*n**4 - 11\/18*n**3 + 15*n. Factor s(q).\nAnswer: -(q + 1)*(q + 2)*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 17*s**2. Let p(w) = -31*w**2 - w. Let o(l) = 6*p(l) + 11*v(l). Let t(n) = -5*n**2. Give o(t(a)).\nAnswer: 25*a**4 + 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 310 divide 79454240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -4788550 (base 9) in base 10?\nAnswer: -2597877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of -278*k**5\/5 - 121*k**2 - 441. Find the second derivative of j(f) wrt f.\nAnswer: -3336*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9404.00005852 - -9404. What is s rounded to 6 decimal places?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7809*847.4.\nAnswer: 6617346.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 214*c = -32*c - 3444 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 3*i - 12 = -0, -38 = -5*w - 4*i. Suppose 0 = -0*t + 2*t + 6. Let p be (-2)\/t - 132004\/w. What is p rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6 + y**2 - 8*y**2 - 7*y**2 + 0*y**2 wrt y.\nAnswer: -28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the first derivative of 20*h**3\/3 - h - 54. Let o(a) = -a - 3. Let d be o(-4). What is the tens digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -21290 greater than -21290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -31, -23, 3\/7, -116.\nAnswer: -116, -31, -23, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 4:23 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, h: 1, g: 3}. Give prob of sequence ghvg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/11)\/(1\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 188*4\/12 - 1\/(-3). Let w = p + -319\/5. Let v = w - -27\/40. Which is the second biggest value? (a) v (b) 10 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 5*n - 59 = -52, -2*p + 4 = -5*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-2\/13)*(k*(k\/(k*k*(k**(1\/4)*k)\/k*k))\/k)\/k)\/(k*k**0*k**(-4))*(k**0)**(3\/4)*(k*k\/(k**4\/k)*k)\/k*k\/k**(-3\/10)*k assuming k is positive.\nAnswer: k**(233\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*z + 24*z - 2*o + 104 + 28 + 264, 3*z = 3*o - 33 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 10*c**3 + c**2 - 7*c + 9. Suppose 0 = -5*x + 20 - 10. Does 9 divide d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2, 3\/5, -0.04, 0.1, -12?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 + 36 = -3*k. Solve 3*s - 4*w = -24, s = k*w - 4*w - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -866318.3 rounded to the nearest 1000?\nAnswer: -866000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*o - 12*o - 18 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 188 greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 3*t - 22. Give g(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 57.989586332864 + 0.4\nAnswer: 58.389586332864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 + 31. Let v = 23 - b. What is the common denominator of -97\/6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -160 = l + 12*j, 2*j + 225 = -2*l + 191 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-910)\/260*(2 + (-34)\/7). Solve 1092*m - 1090*m - p = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y - 31 = -466*i + 469*i, 3*y + 8*i + 29 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 15464071 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -496*o**3 + o + 1. List the prime factors of h(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2 (b) -2\/7 (c) -1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p**2 + 49*p. Let j(s) = -s**2 - 22*s. Let f(t) = 4*d(t) + 9*j(t). Let n(x) = 9*x**2. What is f(n(o))?\nAnswer: -81*o**4 - 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**3 - 476*s**2 + 12348*s + 111132.\nAnswer: 4*(s - 63)**2*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from rrh?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20 + -414012?\nAnswer: -413442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -7072, -7071, -7076, -7087?\n\"Answer: -3*d**2 + 10*d - 7079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:07 AM and 2:11 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.5, 0, -5, 5.\nAnswer: -5, -0.5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 96219 + -53552. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 31275929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*o + 5088 = -23*o. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 + 1)*4\/(-2). Let l be v\/(-12)*(-6)\/4. Sort -2\/3, l, 0.1 in descending order.\nAnswer: 0.1, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.059 and -16774445202?\nAnswer: 16774445201.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, j: 1, f: 9, x: 5, g: 2}. What is prob of picking 1 x and 2 g?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -22*c**2 + 1 - 6*c + c - 19*c - 8*c + 35*c - 2*c. Suppose v + 0*v = -1. Determine a(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**8)\/((z*z*z**(13\/3))\/z))**(-32) assuming z is positive.\nAnswer: z**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 175576 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14359, -14386, -14411, -14434?\nAnswer: -14455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.11 + -0.27. Let p = -4.58 - k. Let g = p + 4.20114. Round g to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000068192 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -155602\/4095 - -1341\/35. Let r = p - -5\/39. Let s = 27 + -32. What is the biggest value in r, s, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 48, 92, 136, 180?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 320033918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(((-2)\/4)\/(5 + -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23*x + 85 - 85 to the form p*x + m and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 10.2 (b) 47 (c) 4 (d) 421 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/26*741\/(-171))\/(5\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -116927000 to the nearest 1000000.\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 562508?\nAnswer: 2, 140627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 28 = 2*x, -b + 5*b - 8 = -2*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * 87056.\nAnswer: -261168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**3 - 2*m**2 - 4*m + 6. Suppose -2*w = -b + 8, -3*w - 52 = -2*b - 2*b. Suppose 3*h - b + 4 = 0. Is 11 a factor of l(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -12*q + 81. Give b(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*k + 803*k**3 + 1 + 7*k**4 - 8*k**4 - 805*k**3 - 2*k**2 to the form u*k**4 + h + c*k**3 + p*k + b*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3031558*v**6 - 739*v**2 + 623*v + 1 wrt v?\nAnswer: -363786960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 9155480 to the power of 1\/2, to the nearest integer?\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 311 + -307. Suppose 2*n - 5*n = 3*h - 39, 25 = 5*n. Suppose -i = u - 1, 6*i = 4*i - 5*u + h. Put i, 1, o, 2 in decreasing order.\nAnswer: o, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -1024*d + 452596. What is f(442)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 36187388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 3*k**3 - 3 - 2*k**3 + 5*k**2 - 2. Suppose -10 = 5*i - 10*i. Suppose -1 = -i*f - 11. Calculate r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 16\/(-30)*1*5\/(-4). What is the second biggest value in k, 1\/4, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oz when two letters picked without replacement from rzouuugeezz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 5002 = 4*w + 4960, 3*w - 2*r = 4*w - 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s + 10. Let o(b) = -5*b + 10. Let c be o(-9). Suppose -14*n + 19*n - c = 0. Determine r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**7*(t\/((t*(t**(-1\/4)\/t)\/t)\/t)*t*t*t)\/t)**(-16\/7) assuming t is positive.\nAnswer: t**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (30 - 38 - (1 + -54)) + (-132 - -122).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - -54461632?\nAnswer: 54461636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 734*f + 12 = 738*f, 5*c + 3*f - 16 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - w + 5*k + 56 = 0, k + 28 = 2*w. Suppose 7*t - 22 + 8 = 0. Solve 2*r - t*z = w, -r - 2*z = 9 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - m + 5)*(-2*m + 1 - 1) + 2*m - m**2 + 6*m**2 - 6*m**2.\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1881, 1884, 1887, 1890, 1893, 1896?\n\"Answer: 3*y + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put together -157 and 46.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 960006.8nm in centimeters?\nAnswer: 0.09600068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -826*r + 1493. Is b(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the second derivative of 0*x**4 + 0 + 0*x**2 + 1\/110*x**5 + 5*x + 0*x**3 + 1\/231*x**7 - 2\/165*x**6. Factor t(w).\nAnswer: 2*w**3*(w - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 42*y + 2508940. Let n(c) = 2*c. Calculate d(n(t)).\nAnswer: 84*t + 2508940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/10 + 4304\/560 + -7. Sort 2\/11, h, -26.\nAnswer: -26, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -20*w**3 + 3*w**2 - 5*w - 7. Is 25 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12.78 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -165 = 8*z + 255 - 308 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (5\/(-10))\/((-7)\/420) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*n - 8. Suppose -4*l + p = 4, n*l - 5*p + 20 = l. Let v = 2 - l. Solve 0 = -3*q + 7*q + v*u - 20, 4*q + 4*u - 28 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3428\/76179 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-3\/5))**(-21)*b**(2\/49)\/(b**(6\/17)*b) assuming b is positive.\nAnswer: b**(47014\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1620*t - 319*t - 32423 - 28724 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -40*r**2 + 181*r - 124. Give w(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 5 - 1 = 0. Let u(n) = 3*n**2 - 10*n - 20. Let h(l) = -7 - 7*l + l**2 + 7*l - 3*l. Let r(o) = k*u(o) + 11*h(o). Give r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of a**5\/15 + 5*a**4\/36 - 7*a**3\/18 - a**2\/3 + 7*a. Factor q(u).\nAnswer: (u - 1)*(u + 2)*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = -4*j - 24. Let d be 8\/(-12) - (-111)\/(-9). Is 4\/(j\/d - -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/1*(-54)\/5. Let v be 10\/(-3)*p\/15. Let l = v + 0. What is the smallest common multiple of 8 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (56\/140)\/(((-265)\/10)\/((-5)\/(-2)))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4*2952968 + 4\/2. Suppose 3*o - 3*j - n = -3411874, 4*o - 11200000 = 3*j. Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 72 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**0*w)\/w**(-5\/3))\/(w\/(w*w\/(w*w**6))*(w*w**(4\/9))\/w) assuming w is positive.\nAnswer: w**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(250) + sqrt(250)*1 + sqrt(250))\/(3*sqrt(125)) + 4 + 2 + 5*sqrt(200)*1.\nAnswer: 6 + 51*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 321855377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 6, l: 3, x: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 331*q = -q - 18260 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.076 * -0.337.\nAnswer: 0.025612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -30976 - -52717. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125635?\nAnswer: 5, 25127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 124526?\nAnswer: 2, 19, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2177, -12624, -31343, -58334, -93597?\nAnswer: -137132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 1128 = -4*w, -2*w + 154 = 2*p - 290. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 5*n**5 - 19090*n**4 + 3291485*n**3 = 0?\nAnswer: 0, 181, 3637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16923*d**2 - 7878*d**2 - 9043*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q**2 - 2*q**2 - q**2)*(-1 - 6 - 2 + 3 - 2 - 3 + (5 - 2 - 1)*(0 + 1 + 0) + 4 - 1 - 1).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/15 + (-53)\/(-3) + -7. Solve 3*o = q + t, 2*o - 3*q + 5*q - 10 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -15 - 89. Let b = -62 - z. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27713*p**2 + 13397*p**2 - 1128 - 11*p**3 + 1128.\nAnswer: -11*p**3 + 41110*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7578355*t - 4477897.\nAnswer: -7578355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or 2297?\nAnswer: 2297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2\/51, -4, -5\/3, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 23 - 13. Let r = -12 + p. Which is the third smallest value? (a) r (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:37 PM and 2:46 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 852 divided by -7338.\nAnswer: -142\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 67029317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1539\/(-18)*780\/3705\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 24658*z**4 + 17094*z wrt z.\nAnswer: 295896*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5278, -8693, -12108, -15523, -18938, -22353?\nAnswer: -25768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 30521604 times -0.02\nAnswer: -610432.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(245) + 1 + -4 + -2 + sqrt(245) + (sqrt(245) - (-1 + sqrt(245))))**2 - 2*-5*(sqrt(720) + sqrt(720) + 1).\nAnswer: 128*sqrt(5) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2394 = 12*g - 26*g. Calculate the highest common factor of 228 and g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -2*o**4 + 5703*o**3 - 4069798*o**2 + 6086175*o + 4061250 = 0.\nAnswer: -1\/2, 2, 1425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j - 1. Suppose 2*u + 2 = r + 9, 0 = 3*r + 3. Let b be c(u). Suppose -24 = 4*s + 5*x, -68*s = -73*s + x - 30. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from yyayya?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 5*a = 1280, 3*j - 959 = -8*a + 4*a. Differentiate -103*h + j - 135*h - 9*h with respect to h.\nAnswer: -247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 4*d**2 + 911*d + 2656. Give i(-225).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 7 - 1 = 0. Solve 0 = v*s - 0 - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107 - 73 = -5*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/((-12)\/30)*-44. Let i = -106 - b. Suppose -6*m = -i*m - 2326. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 11 = 3, 3*h - 4*u = -41. Let b = 60 - h. Let q = 226 - 189. Calculate the remainder when b is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 - 4*b**2 - 7*b + 14. Is o(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 216138 and 9438026.\nAnswer: 28314078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 858 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*(4 + sqrt(162)))**2 - sqrt(162)) + (sqrt(162) + -2*(sqrt(162) + (sqrt(162)*-3 - sqrt(162))))**2.\nAnswer: 63*sqrt(2) + 8116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c = 5*c + 5091. Let q = -274903\/54 + c. Calculate the common denominator of 91\/18 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 - -7354?\nAnswer: 7354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 42751469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 25 + -25. Suppose s + 0*s = r. Suppose 4*x + x - 10 = s. Solve -x*p = -0*p + 5*m + 6, -4*p = -m - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1050507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/((-9)\/21) - 0. Let p = -24 - m. Let y(c) = -5*c + 25. What is the remainder when y(p) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17.83289mm in nanometers?\nAnswer: 17832890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -7\/8 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1009 + -1009.00000563. What is o rounded to 7 dps?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2495358.\nAnswer: 2, 3, 157, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (75\/9)\/5*(-14)\/210.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000607 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 20 times 6813\nAnswer: 136260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.08 - 4.08. Let s = -66694 + 66693.94. Let g be 4\/14 + (-15)\/28. What is the fourth biggest value in g, k, s, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -111*t + 111*t + 130*t**2 - 133*t**2. Let r(p) be the first derivative of 11*p**2\/2 - 2. What is h(r(l))?\nAnswer: -363*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -18? (a) -2\/5 (b) 185 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -22. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11885321 is divided by 6614?\nAnswer: 6577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 232, 936, 2110, 3754, 5868, 8452, 11506?\nAnswer: 15030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 + -2 + -8 + (6 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mfafadaafmfaddmm. Give prob of picking 1 f and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/((-3)\/5)*(-180)\/(-2100))\/((-28)\/(-3724))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 6*g + 2. Let d be j(3). Let n(r) = 3*r**2 - 36*r - 28. Let z be n(13). Suppose 2*k = -4*m + 32 - 0, -4*k + 29 = m. Solve -k*l - d = -z*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 47 (b) -0.1 (c) -5 (d) -0.5 (e) -0.1965\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 138 a factor of 4470510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 19 + -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -11 - 204417320\nAnswer: -204417331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 742988510234.5099946 + -742987918501. Let h = v + -591734. Let w = -0.49 - h. What is w rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -1 (b) -31 (c) -171 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (7\/(-112)*4)\/(3\/(-48))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 + m**2 - 24*m - 113. Give y(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-6)*z*z*z\/((z**3\/z)\/z)*z*(z*(z*z**0)\/z*z*z)**(-2\/67)*(((z**(3\/7)\/z)\/z)\/(z\/(z**(4\/5)\/z)))**(-2\/15) assuming z is positive.\nAnswer: z**(-95677\/35175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-120))\/(-2*(-3)\/(-45))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(378)*-1)\/sqrt(9) + (sqrt(6048)*1 - sqrt(6048)))\/(-2*(sqrt(6) + 5*sqrt(54)\/sqrt(9) + sqrt(6)))*-3)**2.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/(-10 - (-17559)\/1756) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 - 2. What is the second biggest value in 1\/2, -1\/3, 3\/5, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*c + 14*c - n - 27 = 0, 4*n = -2*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7248*b**3*k**2 + 1386*b**3*k - b**2*k wrt k?\nAnswer: -14496*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(1539))**2 + (sqrt(190)*-2)\/sqrt(10) - (sqrt(1900)*5 - (sqrt(76)\/(sqrt(4) - (sqrt(4)*-5 - sqrt(4))) - sqrt(19)))**2.\nAnswer: -2332622\/49 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*r - 51*r + 17*r + 18 = -2*j, -r + 7*j = 15 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/1 - 1)*-2. Suppose -a*s = -0*s. Suppose -4*n - 4*j = -36, -2*n + s*n = -j - 3. Solve -3*l + 0 = 3*t - 3, -4*t + n = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-774)\/(-108) + (1 - -3). Let y = g - 277\/24. What is the second biggest value in y, -6, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -17\/3 or 157?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1220 - -110230?\nAnswer: 112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + 4*r + 12, -m - 4 + 16 = -4*r. Suppose 5*c - 2*c - 36 = m. What is the lowest common multiple of 16 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 + 45013125?\nAnswer: 45013122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -3*g**3 + 2*g**2 + g + 1. Let c(f) = -12*f**3 + 10*f**2 + 7*f - 112. Calculate -c(d) + 5*q(d).\nAnswer: -3*d**3 - 2*d + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*a = p + 2, -11*p + 14*a - 18*a = -8*p + 29 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 171*g = 172*g - 146. Let b = 157 - g. Calculate the remainder when 26 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 33 and 28964067.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -67*q**2 - 116 + 67*q**2 - 101*q**2 wrt q.\nAnswer: -202*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5\/(10\/(-162))*(-20 - -21). Let y = m - -88. What is the least common multiple of 74 and y?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3347, -44, 5?\nAnswer: 3347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 14429193 - 16?\nAnswer: 14429177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-9 - (-16)\/((-2496)\/(-1380)))*(-34 + 64\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4*(-1)\/3)\/(217828\/(-2655) + 82)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(63) + -2*sqrt(252))\/(-1*sqrt(9)*-3) + 1.\nAnswer: -sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 46, 126, 252, 448, 738?\n\"Answer: 4*p**3 - p**2 + 55*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 10*f. Let k(j) = -j**3 - j. Let a(s) = -6*k(s) + o(s). What is the second derivative of a(v) wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 129 + 46 = 0. Let m = q - -95. Suppose -8*f + 2*f = -m. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = -5*o + 13*o. Solve -y + o = 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -83, -162, -241, -320?\n\"Answer: -79*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33391295.\nAnswer: 5, 7, 73, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - 2\/4)\/1. Let n = -1\/45 - 29\/45. Which is the third smallest value? (a) g (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6\/7, -2\/3, -5\/27, -1.3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2729098622 to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 3) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 7 = 0, -2*i = -17*o + 13*o - 288198. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 7, r: 2}. What is prob of picking 2 f?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.3 (b) 2703 (c) 2\/5 (d) 1 (e) -17\/4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is -12124.37639 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least -29\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1000033103303 (base 4) in base 3?\nAnswer: -1011200120000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u = 3 + 29. Suppose 0 = -5*y - u*k + 31, -2*y - k + 3*k - 2 = 0. Is 40 a factor of 7\/((-105)\/(-640))*(y + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 * -164727\nAnswer: -329454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1115597 is divided by 371420.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3931 + -12461.\nAnswer: -16392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:04 AM and 7:13 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.326? (a) -5 (b) 40 (c) -1\/7 (d) 4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(-5) - (1 + 5588\/(-110)). Let l(g) = 60*g. Let y(m) = 5*m. Calculate b*y(w) - 4*l(w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -298*j - 4*p = -295*j - 76, -3*p = -j + 8. Solve 0 = -3*k - c + 6, 23*c + 21 = 4*k + j*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*b**3 - b**4 + 0*b**3 + (-161*b + 161*b + 8*b**2)*(3*b**2 - 3*b**2 + 3*b**2) + 28*b**4 + 100 - 100.\nAnswer: 51*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -7, -11, -15, -19, -23?\n\"Answer: -4*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = -4*y + 66. Let x(k) be the first derivative of -3*k**2\/2 - 14*k + 3. What is the remainder when x(-12) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1130 + -744. Let l = -276 + v. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 509239675 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**3 + 9*z**2. Let c(o) be the first derivative of 2*o**3\/3 + 145. Give -18*c(b) + 4*h(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8? (a) 1.1 (b) -1\/16 (c) 2\/9 (d) -0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -45 = 14*z + 39 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/6 + 452\/6. Suppose -4*s = 2*b + 3*b - 45, -2*b = 4*s - 30. Suppose b*l + 57 = 8*l. Calculate the highest common factor of l and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 553686808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lll when three letters picked without replacement from xldldddddldddxdxld?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (134*k - 10*k + 29*k)*(5*k**3 + 2*k + 2 - 2 + (0 - 1 + 2)*(2*k**3 + 3*k - 3*k) + k**3 + k**3 - k**3).\nAnswer: 1224*k**4 + 306*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:03 PM and 5:26 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 413 + 432 = -13*w. Let q = -20075\/8 + 2515. What is the common denominator of ((-10)\/44)\/((-5)\/w) and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 272710*z**4 + 3531*z**2 + z wrt z?\nAnswer: 6545040*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 167 divided by 601017\nAnswer: 167\/601017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 690960 and 143360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tmc when three letters picked without replacement from {f: 1, m: 1, t: 2, w: 3, g: 2, c: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 802880 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -38570815 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**2 - r**5 + 2*r**2)*(2 - 12 + 3) + 3 - 2*r**5 - 3 + (6 - 2 + 2)*(-r**5 + 2*r**4 - 2*r**4).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 4*z - 2*z - 4*z + (-2*z + 0 + 0)*(-2 - 1 + 1) + (-2*z - 2 + 2)*(-3 + 0 - 2) in the form w*z + r and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 + -62. Let d = h + 68. What is the greatest common divisor of 75 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154500 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:04 PM and 4:52 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-96 - (-4 - 0) - (5 - (-10 - -20))) + 11\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**3 + 12*a**2 - 9*a - 16. Let z be m(11). Let j = 3 + z. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17721, -20911, -24101, -27291, -30481?\nAnswer: -33671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -12 + 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (3 - (-1 + 3 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - ((-14)\/(-18) - -5 - 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 40204817 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12.071 + -0.071. Which is smaller: -3\/5 or u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*l**3 - 3*l**3 + 8*l**2 - 598 + 599 in the form t + m*l + a*l**3 + g*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11901888 is divided by 451.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s + 3*s. Suppose 0 = -5*v - 2*q + 83, s*q + 65 = 3*v + 5*q. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/((((-17)\/34)\/(5\/1))\/2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 3*t + 28 = 0, t - 9 = 4*o - 2*o. Put -3, -9, o in descending order.\nAnswer: -3, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 717405770?\nAnswer: 2, 5, 29, 2473813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 12:14 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 1144.18 to the nearest ten.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 30804161 to the power of 1\/2, to the nearest integer?\nAnswer: 5550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0 (b) -1 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3 - 69650*r**2 - 69648*r.\nAnswer: -2*r*(r + 1)*(r + 34824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 - -72. Let b = r + -85.035. Round b to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 + f. Let s(p) = -4*p**3 + p**2 + 27*p + 2. Determine 6*m(k) - s(k).\nAnswer: -2*k**3 - k**2 - 21*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-50)\/30)\/((-2)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2671*n - 121 = -2682*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 - 105 = -14*f + 2*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 7.1 - -2685831103?\nAnswer: 2685831110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + 4. Let q be 264\/r*1\/3. Suppose 109 = 3*i - q. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l. Let t be k(1). Which is smaller: -5\/6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xuxxxxxxxxxxxxxux.\nAnswer: 105\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Expand (-223 + 311 - 246)*(12*z - 4*z - 11 - 10*z) - 2*z - 3 + 3.\nAnswer: 314*z + 1738","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50) + 1*sqrt(6050) + sqrt(6050))\/((sqrt(10)*2 + sqrt(10))*4).\nAnswer: 23*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 70 - 78. Let n(t) = 2*t**2 + 11*t + 12. Does 13 divide n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1338512 and 6068?\nAnswer: 54878992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 4) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.4 + 84970\nAnswer: 84970.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*d**4 + 79*d + 2*d**2 - 164*d - 1 + 88*d to the form z + a*d**4 + t*d + g*d**3 + p*d**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -10*v**3 - 14*v**2 - 44*v + 4. Let w(g) = -6*g**3 - 8*g**2 - 22*g + 2. Calculate 4*k(z) - 7*w(z).\nAnswer: 2*z**3 - 22*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -32 - (115 + -80).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxmxxxmxxxxmxxxxmx. What is prob of sequence xxxx?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -273*b - 100 = -185 - 188 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 12982160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-90)\/12*2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 61.37809 millilitres in litres?\nAnswer: 0.06137809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 52 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -7870 * 275\nAnswer: -2164250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/4 + (-34)\/(-8). Suppose -2*l + 8 = 4*z - 6, -28 = -o*z + l. Solve 4*m + 4*a = 0, -5*m + z*a - 29 = 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-3\/4))\/m*(m*(m\/(m*m**(-2\/25)\/m*m*m)*m)\/m*m)\/m)\/(m\/(m*m\/(m*m\/(m**(2\/11)*m*m*m)))*m**(-8\/3)*m) assuming m is positive.\nAnswer: m**(10489\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -28.3678 to 1 decimal place.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + -1. Suppose -2*v - n = -3*v + 25, 101 = 5*v + n. Solve z = 3*a + 2*m + 2, -6*m + m = a - v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*a**2 + 16*a**2 + 8*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 PM and 5:36 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 94366 and 4814.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**3 + 129*b**2 - 1800*b + 8208.\nAnswer: -3*(b - 19)*(b - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (594 - 603) + (2 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 50515132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + -1001000101010?\nAnswer: -1001000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4514517437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 26105018187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d**3 - d**3 + 4*d**3 + (3*d + 3*d - 5*d)*(0*d**2 - 2*d**2 + 0*d**2) + 3*d**3 + 4*d**3 - 5*d**3 + (2*d**2 + 5*d**2 + 29*d**2)*(d + d - 4*d).\nAnswer: -71*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 27.5 times 188\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 9:39 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zryvyzrzwr. Give prob of sequence vzr.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -48361 (base 13) in base 15?\nAnswer: -29371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -138*q - 67 = -7*t - 140*q - 115, 0 = t - 5*q - 9 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:19 PM and 10:03 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-20))\/(98\/980).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17 - 12. Suppose -11*f**5 - m*f**3 + 24*f**4 + f**2 - 5*f**5 - 4*f**3 = 0. What is f?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -266 - -260.36. Let f = -3.64 - z. Put f, -3\/7, 0, -0.1 in ascending order.\nAnswer: -3\/7, -0.1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 245153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -15*y**2 - 21*y + 53. Let r(i) = -17*i**2 - 24*i + 53. Give 7*c(a) - 6*r(a).\nAnswer: -3*a**2 - 3*a + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-b**2 + 5*b**2 - 2*b**2)*(0 - 7 + 1)*(2*b - 2*b + 2*b**2) as l*b**4 + z*b + g + p*b**2 + q*b**3 and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(1\/2)*f*f**(5\/4)*f)\/((f\/f**(-7\/2))\/f*f**(-1)))\/((f*f**2*f*f*f*f)\/(f\/(f\/f**(2\/3)*f)))**(-4\/35) assuming f is positive.\nAnswer: f**(877\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 5078.342ml to litres.\nAnswer: 5.078342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15096127 a multiple of 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**2 + t - 1. Let a(f) = 6*f**2 + 12*f - 12. Determine a(g) - 12*s(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 1256344 (base 7) to base 4.\nAnswer: 220122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 342 + -261. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 889*g**3 + 17*g**2 - 14. Let d(c) = 296*c**3 + 6*c**2 - 5. Calculate -17*d(a) + 6*t(a).\nAnswer: 302*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 596, 1193, 1790, 2387, 2984, 3581?\nAnswer: 4178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6499*h**2*w**2 - 8*h*w**2 + 325*h*w wrt h?\nAnswer: 12998*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1174 - 335 + 7*m**2 - 41*m**2 + m**3 + 15*m - 2169 + 411 wrt m.\nAnswer: 3*m**2 - 68*m + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70 = -7*m + 2*m. Let p be (60\/(-14))\/(2\/m). Let b = 24 + -4. What is the greatest common divisor of p and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(304) - (sqrt(304) + 1*sqrt(304)))**2 - sqrt(304))*-3 + 2.\nAnswer: 12*sqrt(19) + 1826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -5*m**3 + 36*m**2 - 7*m + 5. Let i be h(7). Suppose 3*u - 472 = -q - i, -5*u + 773 = -q. Calculate the remainder when u is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 22, -47, -202, -485, -938, -1603?\n\"Answer: -7*w**3 - w**2 - 17*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w = -3*o - 1, -w - 5*o - 5 = -15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 586.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 344 = 4*p, 0*p = -3*p + 4*q - 237. Let s = 234 + p. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 25*h - 3. Let x(b) = 101*b - 12. Let d(y) = -26*m(y) + 6*x(y). What is the units digit of d(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 5*q + 3 = 0, 182*v + 5 = 187*v - 4*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6883*s**5 - 4*s**4 + s**3 - 15*s**2 - 2*s + 686?\nAnswer: 412980*s**2 - 96*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of -7*d**6\/30 + 3*d**3\/2 + 25*d**2\/2 + 254*d. Find the first derivative of y(s) wrt s.\nAnswer: -28*s**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 - t**2 - 4*t - 3. Let n be y(-2). Let i = -8 + n. Solve -i = s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (24\/(-32))\/((-14)\/8). Which is the closest to -0.2? (a) d (b) -8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-3)\/(-6)) - -1 - 12571\/(-14505).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/9 (c) -26 (d) 0 (e) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 264 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-14 + 38 - 75)*(-2*f - 2*f - 1 + 5*f) to d*f + n and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 317 + -307. What is the remainder when 47 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*q - 12*q - 140*q**3 + 154*q**3 as d*q + n + m*q**2 + j*q**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*s + 10*s + 16017 = 0. Let u = 8976 - s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*0.21.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1364 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 19 + 1 = -5*g, 3*g = 2*m - 28. Calculate the remainder when m is divided by ((-19 - -31) + -6)\/((1 + -2)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17248 = 2*r - 2*t, -16*r + 4*t - 17234 = -14*r. Is r equal to -8631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 2*t + 2. Let b = 133 - 132. Calculate k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**3 + 3*h**2 + h + 24. Let r be s(0). Calculate the common denominator of r\/45 + (-3 - (-15)\/6) and -9\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 3*o - 99. Suppose z + 2 = h, -3*z - 5 = -3*h - z. Let p = h + o. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -513762 - 35?\nAnswer: -513797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7456, -14911, -22366, -29821?\nAnswer: -37276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*l - 4 + 2 - 6 + 1.\nAnswer: -81*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2.2 and 34123.07?\nAnswer: 34120.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3*(-6)\/(-18) + 1\/(-1). Suppose y - 5*h + 1 = q, -2*y = -3*h - 5 - 0. Suppose 2*x = -g + 30, 104 = g + 3*g + y*x. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 367 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/4)\/((-3)\/12). Suppose 3 = -m + 5. What is the units digit of (22\/(4 - m))\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = -4*b - 30, 0 = -5*b + b + 5*w - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1703158756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/9 - 55662*i + 333964.\nAnswer: 2*(i - 250473)*(i - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be (38\/(-4) - -5)\/(-3)*2. Let x(g) = g**2 - 9*g + 14. Let j be x(8). Is j greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -50*x**3 + 15*x**2 + 147*x - 53. What are the prime factors of y(-8)?\nAnswer: 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -170.15 + 207.005. Let u = 37 - v. Let k = u + 6.795. Round k to one decimal place.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12111 - -18402. What are the prime factors of h?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 108758681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 78.00516 tonnes to nanograms.\nAnswer: 78005160000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 5 - -13.3286\nAnswer: 18.3286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 40 - 1c?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - k - 2466 = k, 5*w - 3*k + 3099 = 0. Let n = 1037 + w. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 5*u - 3. Let v(q) = q - 1. Let b(w) = l(w) - 4*v(w). Let f(c) be the first derivative of -c**3\/3 + 3*c**2\/2 + 5*c - 65. Calculate 5*b(g) - f(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and 3855?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 325 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 620986000 rounded to the nearest one million?\nAnswer: 621000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l when three letters picked without replacement from ddlllddllddldddllldl?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 31*z**2 + 52*z + 30. List the prime factors of h(-5).\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 415791619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 148 a factor of 11622906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let x = -1659 - -2586. List the prime factors of x.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.41 + 70.41. Let c = 177 - w. Let i = -104.9 + c. What is i rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*u**3 + 3*u + 5 + 1 + 3*u**3 - 4 = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 - 3*n**2 - 5*n + 3. Determine f(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1.86 times -0.16\nAnswer: 0.2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 524169 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 - 3. Let k be q - (-3 + 0 + -1). Solve -z = -5*u + 3, u = k*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.302 in 2\/9, -181, -4, -0.4, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 166478 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 29.5 + -30. Sort 1\/10, -3, j in decreasing order.\nAnswer: 1\/10, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1 - 23852\nAnswer: -23853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-160)*-15)\/((-54)\/2592)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 21 - 15 = a, -4*f + 14 = -a. Suppose -4*r + 5*c - 7 = 2*c, 0 = 3*c - 3. What is the third smallest value in f, 13, -2\/7, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**43)**47\/(b**(10\/17)*b**41) assuming b is positive.\nAnswer: b**(-34265\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, v: 1}. Give prob of sequence va.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20 - 13. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*a - 71*a = -3240. Let j = a - 167. Solve j*v = 44*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**3 - 19*x**2 + 65*x - 1. Determine t(16).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:31 PM and 5:58 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o + 5. Suppose -2*p + 4*d = -34 - 12, -4*p + 53 = 5*d. Suppose 2*f - 5 = -p. Calculate the remainder when 32 is divided by q(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -4601*x + 280722. Determine q(61).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -5, 1, 6, 2, -5032762?\nAnswer: -5032762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 11411833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + 4*p - 1. Let s be w(-3). Let m(f) = -f + 1. List the prime factors of m(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 25 in 2\/47, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -942 + 942 - 1316*n to the form l + i*n and give i.\nAnswer: -1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1329284.\nAnswer: 2, 11, 30211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/40869 and 53\/3585.\nAnswer: 204345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -103 - -99. Which is the smallest value? (a) j (b) -3\/8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 4, m: 5, y: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = l - 7, 0 = 5*j - 3*l - 6 + 16. Sort -9, j, 3 in descending order.\nAnswer: 3, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nfc when three letters picked without replacement from cfffcnfncffnc?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1268 times -12924?\nAnswer: 1638.7632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -14574125 by 7.\nAnswer: -14574125\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -126\/19 + 1751\/95. Find the common denominator of -27\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 10) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3053654, 3053656, 3053658, 3053660?\nAnswer: 3053662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from seesmseesm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/320520 and -56\/2585.\nAnswer: 165708840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -143*f + 144*f - 3*j - 3 = 0, -15 = -2*f + 3*j for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 49*d - 312. What is the hundreds digit of v(51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/1728 and -53\/224?\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/w**(1\/3))\/(((w\/w**(-3\/16))\/w)\/w))\/(w**(-2)*w**1))**(-5\/6) assuming w is positive.\nAnswer: w**(-595\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/13, 605, -1\/6?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 + 12*q - 19. Let t(x) = x**3 - 25*x**2 + 49*x - 60. Let p be t(23). Determine i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 + 2.6. Let d(r) = r - 4. Let q be -3 + (2 - 0) + 5. Let t be d(q). Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3170 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -15509, -15510, -15511?\n\"Answer: -f - 15508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + -7. Let m(g) = g**3 + 8*g**2 + 6*g - 6. Let h be m(x). Solve 2*z - 5 = 2*a + 3*a, -3*a + 2*z + h = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(425) + (sqrt(425) - (sqrt(425)*5)**2) + -3.\nAnswer: -10628 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 81 - 48. Suppose 0*r + 4*l = -3*r + 67, 5*l - h = -2*r. Let g = 52 - r. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 368302786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/2 - (-57)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 555 = b, 2262 = -4*b + r - 3*r. Let c = b + 823. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.145, 1\/329, -1\/3, -2\/25?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.032 + -0.106. Let q = h - -0.414. Let b = 0.894 + q. Round b to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22 - -18. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1695*g - 1692*g - 9 = -3*h, -2*g + 17*h = 51. Let k be (-4)\/18 + (-23)\/(-63). Let -k*y**5 + 1\/7*y**3 - 2\/7*y**4 + g*y + 0 + 2\/7*y**2 = 0. What is y?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57 = -i - 15. Let n = i - 17. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -7*z - 110 + 92 + 9*z + 0*z. Determine y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-4))\/((-33)\/4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 452963?\nAnswer: 7, 64709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3\/4)\/(4\/(-48)). Let j = p + 14. Solve 9 = -j*r - 0*r + k, -5*k + 19 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/6)\/(978\/20538).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -195 - -197. Let g = -1.609 + 1.2. Let q = g + 0.009. What is the fourth smallest value in f, q, -2\/11, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 402*m + 3*w = 404*m + 2, -w - 6 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.11 + -0.19. Let m = 0.7 + -1. Let y = v - m. Which is bigger: y or -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-255)\/(-68)*2*2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -4*i**2. Let v(f) be the first derivative of -407*f**2\/2 + 700. What is v(a(m))?\nAnswer: 1628*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2755078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 838 = 5*g - 2*r + 146, 3*g - 440 = -5*r. What is the remainder when 1\/((-2)\/g*-2) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*d + 31086 - 26844 = 0 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13 + 14. Let a be (1 - 15) + -3 - g. Let l = a + 33. Calculate the remainder when l is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10.725 - 11.425. What is the second biggest value in 1, c, -4\/253?\nAnswer: -4\/253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -27 - -26.926. Let k = a + -7.526. What is k rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 201 times 5\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 0*y**2 - 3*y**2 + y**2. Let i(v) = 130*v + 129*v + 58*v - 22*v + 77*v + 60*v. What is l(i(f))?\nAnswer: -373248*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the second derivative of 21\/20*p**5 + 15\/4*p**4 + 6*p**2 + 11*p + 0 + 1\/10*p**6 + 13\/2*p**3. Factor k(z).\nAnswer: 3*(z + 1)**3*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2249 + -2316 + 1 + 110?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the first derivative of a**7\/273 - a**5\/26 + 4*a**3\/39 - 42*a - 29. Let d(j) be the first derivative of v(j). Determine o, given that d(o) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 204963 is divided by 9315?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 17.5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -10*c**3 + 251*c**2 - 159*c + 3352. Let n be d(25). Let m = -1200 + 6028\/5. Solve -m*u**3 + 0 + 0*u - 8\/5*u**n = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/6*18\/(-4). Let k = 0 + d. Suppose -21 = -3*b - k. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 56994543*z + 185 = -56994553*z, 0 = j + 4*z + 73 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1958046, -1958031, -1957994, -1957929, -1957830?\n\"Answer: b**3 + 5*b**2 - 7*b - 1958045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2561835322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 + -b3fd8?\nAnswer: -b3fd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - s - 5 = -z, 48 = 5*z + 3*s. Suppose -5*c = -z*c + 16. Suppose 5*d - 10769 = -w, -d = -c*w - 139 - 1998. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand v**2 + 2*v**2 - 2*v**2 + (-1 + 3 + 10)*(-v**2 + 0*v**2 + 3*v**2) + 0*v**2 + 0*v**2 - v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1893 a factor of 22064703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*r + 0*r - r)*(3 - 1 - 3) - 3*r + 14*r - 32*r)*(2 - 2 + 2*r) + (0*r + 2*r + r)*(23 - 26*r - 23) - r**2 + r - r.\nAnswer: -123*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, 11, 5 in ascending order.\nAnswer: -15, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*f**3 + 376*f**2 - 2364*f + 3600.\nAnswer: 4*(f - 3)**2*(f + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -8*u**3 - 33*u**2 - 49*u - 4. Let z(m) = 16*m**3 + 66*m**2 + 83*m + 7. Let x(g) = -7*l(g) - 4*z(g). Find the third derivative of x(h) wrt h.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than -639.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 793822034 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1105)\/(-51) - 21) + 8\/6. Solve -z - 2 = 5*b + 27, 3*z - 2*b = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4871*a - 31965 + 63921 - 31956)*(a**3 + 0*a**3 - 2*a**3).\nAnswer: -4871*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n**3 + 3*n**2 + 5*n - 7. Calculate the remainder when 23 is divided by m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of q**7\/7 - q**3\/3 + 15*q**2. Let b(w) be the first derivative of u(w). Is b(1) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3406 + 6727. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1053) + (0 + sqrt(1053) - sqrt(1053)) + 5.\nAnswer: 5 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 326361*z**2 - 299185 wrt z.\nAnswer: 652722*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 89 - 174 - 605*n**4 + 18*n + 14*n + 88 wrt n?\nAnswer: -7260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-197267)\/(-6)*(-20)\/(-420). Let s = -1566 + h. Is s at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 - -180?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 53 (base 14) in base 8?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3*n**2 + 417*n - 13688. Calculate f(53).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -294 + 1338. Suppose x = -110*a + 107*a. Let u = a - -1425. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-4)*(-6)\/9 - (-5)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 292230 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/22 - (-4 + 5 + 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + 4 - 2)*-8. Let l = w - -39. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 2131970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3666*n - 65 = 3673*n - 2 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 3*b - 83*u + 82*u, 7*b = 3*u + 34 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 27 = -t + m, -m = 4*t - 88. Solve -t*x + 0*x = 115 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -781.561 - 2.3235?\nAnswer: -783.8845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor t**2\/6 + 287*t\/6 + 550.\nAnswer: (t + 12)*(t + 275)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (6 + 20\/(-3))\/(9\/((-14796)\/8)) is divided by 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -234*k**5 - k**4 - 204*k**5 + 652*k**5 + (16*k - 20*k + 14*k)*(-k**4 + k**4 + 3*k**4).\nAnswer: 244*k**5 - k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47614986.\nAnswer: 2, 3, 503, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 628266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -8876 by 2219.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v - 4. Let u = 389 - 392. Let q(i) = -2*i - 11. Let t = 6 - -2. Give t*b(k) + u*q(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -14062, -14072, -14088, -14110, -14138, -14172, -14212?\n\"Answer: -3*t**2 - t - 14058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x - x + 300*x**2 - 13*x**2.\nAnswer: 287*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/(-10))\/((-1)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 PM and 7:21 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-46379)\/(-16) + (-1)\/(-4). Let w = -2897 + z. Let v = 4575\/2 + -11472\/5. Find the common denominator of v and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1020 and 5411576?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -4*r + 51. Let x(t) = 3*t - 50. Let a(l) = -4*d(l) - 3*x(l). Let h be a(9). What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2020073 and 1836430?\nAnswer: 20200730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of 5*k**4\/4 + 2*k**3\/3 + k**2 + k + 4. Let x be h(-1). Sort x, -1, 0 in ascending order.\nAnswer: x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21018658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3 + 0)\/(10\/(-70)). Put q, 5, -1\/7 in increasing order.\nAnswer: q, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -81 + 156. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3756 - -9493. Let c = 103411\/18 - w. Find the common denominator of c and 94\/(-36) + (-3)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.02 - 1.02. What is the fourth biggest value in 2, 0.4, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -44 - -46. Suppose 4*m - 12 - 14 = -2*d, -w*d = -5*m + 19. Suppose d*u - 2*u - 133 = -s, 268 = 2*s + 4*u. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -10*k - 114. Let q be p(-14). Suppose o + q*o - 4374 = 0. What is the remainder when 329 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g**4\/15 - 514*g**3\/15 + 3534*g**2\/5 - 61934*g\/15 + 17108\/3 = 0. What is g?\nAnswer: 2, 7, 13, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 24525, 24523, 24519, 24513?\n\"Answer: -v**2 + v + 24525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -30204*l**3 - 2*l**2 + 14636?\nAnswer: -90612*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 0 + -12 + (23 - 91) + 74?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 353369414.\nAnswer: 2, 71, 139, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-221)\/(-260) - (-44)\/110)\/((-10)\/(-12)). Which is the second smallest value? (a) -30 (b) -2\/33 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -23 + 67*x**2 + 5*x - 46*x**2 - 5*x wrt x?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1981638 is divided by 2587?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 129 + -78. Suppose a = -f + 15. List the prime factors of (f\/20)\/((-2)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 3, -7, 36, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 536 - 526. Let f(i) = 3 - 20 - 444*i**2 + 7 + j. Let x(d) = -d. Determine f(x(w)).\nAnswer: -444*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 3*k = 173, -7*p = -4*p + 3*k - 471. Let x = 161 - p. Factor x + 4\/15*i - 2\/15*i**3 - 2\/15*i**2.\nAnswer: -2*i*(i - 1)*(i + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 0*i + 5*i - 18 + i**2 - 3*i + 4 + 6*i. Determine a(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (19\/((-1710)\/24))\/(45\/(-675))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9006 and 52614?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2 - 26*t - 812. Let j be a(-26). Solve 4*n - j = -532 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 324 divide 2098224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -2*t**3 - 10*t**2 + 7*t - 12. Let f be a(-9). Suppose -f - 767 = -5*n. Suppose -5*o + n = 48. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*l - 4*l - 2*l + 254*l**2 + 28 - 286*l**2 to r*l + o*l**2 + q and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 5 - 2*q**2 + 3*q**4 - 2*q + q**3 + 5 - 1 as t + d*q + z*q**2 + b*q**4 + s*q**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*g + 4 - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the second derivative of f**3\/3 - 33*f**2\/2 + 45*f. Let x be g(15). Let k(a) = -130*a + 21. Is k(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 154656, 154481, 154306, 154131?\n\"Answer: -175*k + 154831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5 - 14) + (-47)\/(-5). Let r = 0 + 0.1. What is the closest to r in 6, 1\/8, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -9*z - 7. Let m = -14 - -25. Let a(p) = -1 - 14*p - 1 + 2 - m. Give 5*a(t) - 8*j(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l + 6*l - l)*(-2*l**4 + 0*l**4 + 0*l**4) - 12 + 12 - 5*l**5.\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*s + 89*s = -87*s + 93*s - 7493 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6405 (base 7) in base 3?\nAnswer: 10002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 327966811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 9712603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 313120231130 + 22?\nAnswer: 313120231212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 249 - 245.82. Sort 2\/5, w, -1\/3 in descending order.\nAnswer: w, 2\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 2*v + 80. Suppose -2*o = -v - 0. Suppose 4*s = 4*j - o, -3*j + 37 = 2*j - s. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.04594902 + 0.04836569. Let n = c + -0.0943. What is n rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-3)*684\/532\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -19*g**2 + 12*g + 30. Let d(s) = 5*s**2 - 3*s - 7. Let k(w) = -9*d(w) - 2*h(w). Let b(l) = -l**2 + 1. Give 5*b(j) - k(j).\nAnswer: 2*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, q: 1, s: 8, h: 2, u: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wxcv when four letters picked without replacement from wcocvocchoox?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1068)\/1780 + 8\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 335*q - 3580. Determine v(9).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 173720?\nAnswer: 2, 5, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 7.1 * 0.03963.\nAnswer: 0.281373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -46 at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 313439 is divided by 199?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 49 and 1314.\nAnswer: 64386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -229*y**3 + 8*y**2 + 4*y + 24. Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 8. Let k be -101*(-3)\/(-75) + 4. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 5 and -1364656?\nAnswer: 1364661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 3*t + 50. Let n be z(-17). Let y be n\/(-3) + (-220)\/(-15). Calculate the highest common factor of y and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31*-5690.579.\nAnswer: 176407.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the first derivative of 28\/3*o + 3*o**2 - 28 + 2\/9*o**3. Find p such that s(p) = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a**4 - 14226*a**3 + 314112*a**2 - 1485984*a + 1829376 = 0 for a.\nAnswer: -4764, 2, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2 - -1) + 2)*1. Let w(k) be the first derivative of -k + 41. Let o(x) = -x**3 + 2*x**2 - 4. What is f*o(h) - 6*w(h)?\nAnswer: -h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*a + 475 = -122*a + 16000. Calculate the greatest common divisor of a and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {x: 1, y: 2, n: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 23*q + 67. Let p be n(-9). Let o = 623 + p. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -683 - -1291. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -11511100 by -2877775.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 721009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9405 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -255609103.0000061 + 255609142. Let u = k + -39. What is u rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10\/15 + (-1982)\/(-6) is divided by ((4 - 10)\/12)\/(2\/(-268)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -1373*n**3 - 8*n**2 + 1457*n. Let o(i) = 2746*i**3 + 20*i**2 - 2915*i. Let q(z) = -2*o(z) - 5*p(z). Find the second derivative of q(a) wrt a.\nAnswer: 8238*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate (-23205)\/(-1001) + (0 - 2) + (-60)\/(-33).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(2\/17)*j**1)\/(j\/(j**(-2\/7)\/j)*j**0) assuming j is positive.\nAnswer: j**(-139\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2658988 (base 10) in base 12?\nAnswer: a82924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -a**4 + 1228*a**3 - a**2 + 33*a + 20073312 wrt a?\nAnswer: -4*a**3 + 3684*a**2 - 2*a + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -648316, -648315, -648314, -648313, -648312?\nAnswer: -648311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*h + 5*j = -58*h - 56*h, -4*h = -11*h + 3*j - 47 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -40853 times -214?\nAnswer: 8742542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -9, 5 in ascending order.\nAnswer: -9, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2547 divided by 239.\nAnswer: -2547\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*t = -2*k - 65*t + 25, -6*k + 52 = -k + 6*t for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2969661096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 167051 + -179?\nAnswer: 166872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -40*b**2 - 728*b - 1525. Calculate i(-15).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*a**3 - 221*a**2 - 896*a\/9 - 100\/9.\nAnswer: (a - 25)*(9*a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**0*x)\/x)**(11\/4)\/(x**(4\/3)*x**(-1)\/x))\/(x**(2\/3)\/((x\/x**(2\/13))\/x*x*x))**42 assuming x is positive.\nAnswer: x**(1958\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 187585.4 rounded to the nearest one thousand?\nAnswer: 188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**2 + v. Let n(b) = 4*b**2 - 4*b. Let j(l) = -n(l) - 3*o(l). Let h be j(0). Suppose h = -y + 6*y - 95. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11800983.\nAnswer: 3, 1451, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.39 + -0.17. Let i = s - 3.02. Let v = -0.2468 + 0.3468. Is v greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102 > 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1782) + sqrt(1782)*-1 + sqrt(220)\/sqrt(160))*6)\/(5*sqrt(44)\/(sqrt(28)\/(2*sqrt(7)))).\nAnswer: 3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**2 + 1. Let a(q) = 2. Let z(h) = h**2 + 12*h + 15. Let p be z(-11). Suppose 0*f = p*f + 8. Determine f*v(i) + a(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13 - -19. Solve -2*o = -2 + n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -124db (base 14) to base 15.\nAnswer: -d471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12 - -21. Suppose -3*l + w = -0*l. What is the second derivative of -k**5 + 5*k**5 + 6*k**5 + l*k wrt k?\nAnswer: 200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*a)*(217 + 350 + 477)*(a + a**2 - a).\nAnswer: -2088*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 5*y = -241, -w - 2*w - 5*y = -177. Suppose 0 = -5*q + 9*q - w. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 92644 and 49381?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -0.2, 1\/3, -1.19, -8 in ascending order.\nAnswer: -8, -1.19, -0.2, 1\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 2809356 and 11.\nAnswer: 30902916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.9836021 kilograms?\nAnswer: 983.6021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-7 - -2)) + 67 + -59?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -22 - -47. Let o = -7 + x. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 237678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47257 - 984*h - 146*h + 47257.\nAnswer: -1130*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be (48\/(-9))\/((-55)\/66)*-50. Let n = v + 327. Let k be (6\/(-15))\/((-8)\/110). Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 425, 876, 1353, 1856, 2385, 2940, 3521?\n\"Answer: 13*h**2 + 412*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = 3*a - 60231, 67*a + l = 63*a + 80299. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 - (-2 - 33 - (339 - 320))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 400a4 - 8?\nAnswer: 40097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 71.45047mg in micrograms?\nAnswer: 71450.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 388081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1069 + 883.8931. Let h = -891.13 + w. Round h to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (m - 2*m + 3*m)*(-2*m - 1 + 1) + 6*m**2 - 2*m**2 - m**2 - 5*m**2 - 11*m**2 + 32*m**2 to o*m + n*m**2 + x and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -1 + (-6 - (8 - 18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 + (0 + (-1 - (-11 - -19)) - -9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 - 12. Let a = i - -8. Let j = a + 2. Sort j, -3, -4 in decreasing order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 PM and 6:26 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -12*n + 5. Let l(j) = 25*j - 9. Determine 3*l(g) + 5*r(g).\nAnswer: 15*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 901287 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -31*n**3 + 33*n + 2. Let p(z) = -59*z**3 + 68*z + 3. Give 4*p(t) - 7*q(t).\nAnswer: -19*t**3 + 41*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 499767738.\nAnswer: 2, 3, 157, 530539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 + -351b6?\nAnswer: -351b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -35*n + 4037. Give f(110).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -f + 3. Let c(b) = -20*b**3 - b**2 - b - 1. Let u(p) = p**2 - 16*p + 37. What is the remainder when u(16) is divided by c(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 81 + -36. Let t = b - 5. Let h = t + -19. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 16367\/90 + 3\/(-75)*-5. Let o = n + -182. Let v = -1\/1875 - 91853\/41250. Find the common denominator of o and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -38, 2, 4, -537 in descending order.\nAnswer: 5, 4, 2, -38, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2644, 5290, 7936, 10582?\nAnswer: 13228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4693920, -4693916, -4693912, -4693908, -4693904, -4693900?\nAnswer: -4693896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27539 - -111151\/4. Let y = x - 240. Is 10 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.338 - -0.4. Let f = 0.338 + m. Let s = -1.2 + 0.2. Which is the biggest value? (a) f (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 350?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -65873 + 390824.\nAnswer: 324951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*74.71.\nAnswer: -224.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 338*i**3\/11 - 75192*i**2\/11 + 758880*i\/11 - 1960576\/11.\nAnswer: 2*(i - 212)*(13*i - 68)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {g: 6, w: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply 35111811 and -3.\nAnswer: -105335433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 132 = 3*p. Suppose -r - p = -42. Solve d - r = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 552230 and 57730.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ana when three letters picked without replacement from {a: 9, n: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 71159190 and 1230?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -2*f - 2. Let m be r(-6). What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5 + -41?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 49*o**3 + 4*o**2 + 34*o - 154. Let r be c(4). Calculate the greatest common divisor of r and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/((a\/(a\/a**8))\/a))\/a**(-2\/3))\/(a**2\/(a\/(a\/(a*a*a**5*a)))))**(-1\/40) assuming a is positive.\nAnswer: a**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = t - 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*z + 3*z = -6522. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*s**2 - 7 + 7)*(0*s + 2*s - 8*s)*(1 - 1 + 2*s) + (0*s**2 - 3*s**3 + 0*s**2)*(-4*s + s + 2*s).\nAnswer: -57*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*m**2 - 8*m**3 + 0*m**4 + 0*m**2 - m**2 + 2*m**4 + 1 to the form a*m**2 + j*m**3 + y + o*m**4 + k*m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes before 10:53 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 231 and 2409.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 0*j - 17 + 34 + j - 7. Let m be p(-3). Let a(n) = -n**3 + 8*n**2 - 8*n + 1. What is a(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/6)\/(11\/55). What is the nearest to -1 in g, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p**3 - 2*p**2 - 4*p - 7. Let n(j) = -j**3 - j - 1. Let g(t) = 4*t**2 - 14*t - 7. Let z be g(4). Calculate z*i(x) - 4*n(x).\nAnswer: 2*x**3 - 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 5*c - 66 = 19, -2*s = 5*c - 55. Suppose -3*i + i + 48 = 0. Let t = s - i. Solve 0 = t*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-1 - -1229) + 80 + -86.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*m**4*n - 322*m**4 + 2*m**2*n + 6240*n wrt m.\nAnswer: -12*m**3*n - 1288*m**3 + 4*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -37539*o + 31980?\nAnswer: -37539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-10)\/(-4) - 1)*(0 - -2). Let g(t) = 7 + z*t**2 + 5*t + 3 - 8 - t. Give g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*n - 22*n - 50 = 0. Suppose -3*w + 2*r - 5*r = -18, -n*w + 4*r = 6. Solve 3*k + w*x = 6*k + 8, k + x + 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 40 = -5*u. What is the third derivative of -197*x + 197*x + 34*x**2 + 12*x**u wrt x?\nAnswer: 720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5699, 27134, 80105, 180380, 343727, 585914, 922709?\nAnswer: 1369880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2051.83 - -2029. Let n = g + 20.9. Round n to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 7*f. Suppose -4*l + f*l - 228 = -4*w, 2*w - 129 = 5*l. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (16\/(-8))\/((-4)\/6). Suppose -n = -z - 1. Suppose 2*w = -z*w + 8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 2*d + 18. Let q be h(-8). Suppose 5*x = 3*c - 4*c, 0 = -q*x - 2. Suppose s - 62 = c*z, -4*z + 3*s - 40 = 7*s. Is -12 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 48 = -r - 2*q, 3*r - 52 = -2*q. Let y = r - 18. Let l(i) = -3*i**2 + i**3 - 2*i + 5*i - 3*i**y. Determine l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1192 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 33, -404061, 2.\nAnswer: -404061, -5, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17 - 774\/81 - (-185)\/333) + (-63)\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(-2 - 5\/((-60)\/27)). Let q(j) = 12*j**2 + 3*j - 7. List the prime factors of q(g).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -m**5 - m**5 + 4*m**5 + (140*m**4 - 41*m**4 + 33*m**4)*(-1 + 2*m + 1).\nAnswer: 266*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2168675*a*b**2*l*o + 218*a*b*l*o - 2*a*b*l + 10*a*b*o + a*l*o + 4*a*l - 2*b**2*l + b wrt b.\nAnswer: 4337350*a*l*o - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18, 59, 148, 303, 542?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (x + 2*x - 7*x)*(-7*x + 125 - 125) in the form s + g*x + n*x**2 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1216 or -817?\nAnswer: -1216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -141818309 or -141818305?\nAnswer: -141818309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 1 = 3*i, -2*r + 50*i - 47*i - 7 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u - 2. Let d = -39 - -55. Suppose -2*f = -f + d. What is the remainder when 54 is divided by s(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -7) + -66 + 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3343 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -406 - -456. What is the remainder when 488 is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 8096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 263260841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**2 - 10*w - 7. Let p be q(-9). Let x(t) = 552830*t. Let l be x(p). Suppose 0 = 3*s - 3394340 - l. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 65 - 32. Let d = -27 + o. Is d greater than 56\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c - 1. Let o be q(-2). Suppose 2*x - 50*y + 49*y = 0, -2*y = -8. Solve o*i - x = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1281*w - 158238*w**3 + 1281*w + 158250*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2300*r - 23776 + 15216 = 62740 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 5 - 34 = 0. Let s = h + 61. Let g = -4 + 12. What is the highest common factor of g and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1700)*2 - (2*sqrt(2448) + sqrt(17)))*1.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -5 (b) -2 (c) 3 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 44711022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -4*p**3 + p**2 + p. Let d be g(-1). What is the third derivative of 34*o - o**d - 34*o - o**2 + 8*o**4 wrt o?\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 28*p**4\/17 - 24278*p**3\/17 + 25982*p**2\/17 - 1732*p\/17 = 0.\nAnswer: 0, 1\/14, 1, 866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, 27, -5, -6 in descending order.\nAnswer: 27, 14, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 547*u**3 + 70*u - 1.\nAnswer: 3282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-21)*q)**(1\/51)\/(q*q**15*q*(q\/(q\/q**(-1\/12)))\/q*q) assuming q is positive.\nAnswer: q**(-1177\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = p - 3*h + 39, -3*p - 5*h - 16 = 0. Suppose 5*q = 25, 0 = p*a + 5*q - 3621 - 25. What are the prime factors of a?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 60085410 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 761 bigger than 761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the third derivative of -k**5\/6 + k**2. Let t be (2\/(-5))\/1 - (-1836)\/90. Let v(o) = 14*o - t*o + 7*o. Calculate v(s(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(132) - sqrt(132)*-2) - (sqrt(132)*-3 - sqrt(132))*6)\/(((sqrt(72) - -1*sqrt(72)*6) + sqrt(72))\/sqrt(6)*2).\nAnswer: 15*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3177 (base 9) to base 16\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 226789733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*z - 38 = -26*z. Suppose 4*k + k + 76 = 4*r, 3*r + 5*k = 92. Let a = z + r. Solve a*y + 0*y = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (288\/432)\/((-4)\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -101 divided by 3?\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 63, 116, 169, 222?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in 1, 6, 0.124, 5, 0.3, 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 17 + 23)*(25 + 46*z**2 + 118*z - 24 - 43*z**2) to d + u*z + r*z**2 and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - 4. Suppose 4*y - 16 = c*y. What are the prime factors of (2 - y\/2) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.580608 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 i, and 1 s when three letters picked without replacement from xggishk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from uukumkmzu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - t - 1440 = 0, n + 5*t = -3*n + 1181. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2077.17799215566 - 0.4\nAnswer: -2077.57799215566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -101, -1\/25, 2, 4300 in descending order.\nAnswer: 4300, 2, -1\/25, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1053635 + -3622?\nAnswer: 1050013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3240034023 (base 5) in base 4?\nAnswer: 122202013321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-3) + (6\/3 - 2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r and 1 n when four letters picked without replacement from lfrfnffrfrrsi?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 681 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*m + 4. Calculate the common denominator of (-1)\/4*(-62)\/(-7) and (-66)\/(-8) - m - 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 56971408*m**5 - 1659*m + 26255 wrt m?\nAnswer: 1139428160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16785\/610974*((-8)\/10)\/(-1)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times 58.7?\nAnswer: -234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (38\/8)\/(495\/(-132)) + (5 - 4).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 8 = -5*m. Suppose -16*k = -9 - 7. What is the nearest to -1\/4 in k, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhphuhhuhhpuuu. Give prob of sequence uuh.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/13, -5, -12\/11 in descending order.\nAnswer: -2\/13, -12\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6100 divided by -305.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1077 - -1077. What is the nearest to 2\/5 in f, 1\/4, 1\/2, -2\/85?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(-1)*r)**(2\/61)*(r*r**(-6))\/r**(-3\/5) assuming r is positive.\nAnswer: r**(-1312\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -8*a - 237. Let y be p(-41). What is the third derivative of -185 - 135*b**2 - 35*b**5 - 91*b**2 + 94 + y wrt b?\nAnswer: -2100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 261379*z**4 + 619899 with respect to z.\nAnswer: 1045516*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*h - 8 = 14*h, 5*s - 3*h = 419. Is 86 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 265774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.039 - 3.961. Which is smaller: s or 149?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -4*t**3 + 4*t**2 + 2*t - 7. Let x(c) = c - 4 - 68*c**2 + 39*c**2 + 31*c**2 - 2*c**3. Calculate -4*r(s) + 7*x(s).\nAnswer: 2*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 5*u = 21, -4*a + 5*a = -3*u + 11. Solve -33 = -a*c + 5*n - 3, -c - 4*n - 11 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -118, -236, -352, -466, -578, -688?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32 + 7. Let w be ((-120)\/v)\/((-4)\/(-50)). Let g = 55 - 31. Calculate the greatest common divisor of g and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.3 + 2.2. Put -5, x, 2 in descending order.\nAnswer: 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*y**3 - 84*y**3 - 659*y + 10*y**2 + 49*y**3 - 11*y**2.\nAnswer: -y**3 - y**2 - 659*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -2.8, -1.1, 3.7?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4030555285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9.3 - 171268.\nAnswer: -171277.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 2) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -4*p - 7. What is z(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*r**5 + 14*r**4 - 92*r + 10 wrt r.\nAnswer: -100*r**3 + 168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 7 = -w - 3, 5 = 5*z. Solve 4*u + 21 = -5*d, w*d = -2*u + 3*d - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7.03 - -0.03. Let u = m + 6.9. Let c be (-4)\/(-3) - (-2)\/3. Put u, c, 0 in decreasing order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -52*b + 21. Let x(y) = -258*y + 106. Give -19*i(z) + 4*x(z).\nAnswer: -44*z + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -37 - -37. Let a = 7 - 5. What is the second smallest value in q, -4, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 7692069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of 1\/18*o**4 + 2*o**2 + 0 - 2\/9*o**3 + 0*o - 1\/180*o**5. Let d(b) = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 + 82 = -5*w. Let j = 27 + w. Let t be ((-16)\/(-48))\/((-1)\/j). Is -1 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -263*j + 41. Let h be w(6). Let u = 2455 + h. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1506 (base 7) in base 11?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 407 + 305 = 8*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 272 - 1085\/4. Let c = -0.3 - -0.5. Sort c, i, -1\/5.\nAnswer: -1\/5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -75\/4 - -545\/28. Let t = l - 3\/14. Let m = 22 - 25. Which is the third smallest value? (a) 4 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*f - 37 + 37 + (3*f - 2*f + f)*(-4 + 0 + 2) - f + 0*f + 2*f to the form s*f + b and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, t: 2}. What is prob of sequence tzt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3736.00021116 - -3736. What is y rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32.3 times -62001?\nAnswer: 2002632.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-24)*-2*92\/(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -3 + 5. Put -2, 1, 5, b in descending order.\nAnswer: 5, 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 172793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -50 + 37. Let m(o) = -4*o**2 - 20*o - 15. Let x(v) = -1. Let a(b) = -m(b) + 2*x(b). Let i be a(c). Calculate the highest common divisor of 39 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 226335.7 to the nearest one hundred.\nAnswer: 226300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -345 + 118 + 1372*z + 78 + z**2 + 113 - 1372*z.\nAnswer: z**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 710 and -4.\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 399874 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 8:44 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.1 + 6.1. Let o = -38\/5 + 61\/10. Which is the biggest value? (a) o (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (2 + (5*(sqrt(1539) - 1*sqrt(1539)) - 5*(sqrt(1539) + -2*sqrt(1539))) + -2)**2*-4.\nAnswer: -153902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9069, -9077, -9097, -9135, -9197, -9289, -9417, -9587?\nAnswer: -9805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3*s**2. Suppose 1 = b - 2. Let v(q) = q - 3. Let r be v(5). Let g(z) = -6 + z**r + 3 + b. Give g(n(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 9 * 0.2558613.\nAnswer: 2.3027517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -220 + 219 + 2 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 2*k + 8 = 0, k - 17 = -2*o + 4*k. Let n be 18\/(-30) + 6\/o. Suppose -2*a - 6 = -m - m, -9 = -3*m - 4*a. Solve -t = -m - n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 equal to 1720\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7787, -7779, -7767, -7751, -7731?\nAnswer: -7707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -18566202.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*o - o. Suppose 2662 = 62*m + 2414. Solve o = 3*b - 5*b + m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 - -12.22. Let q = -0.42 + d. Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4848247655 to the power of 1\/3, to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1612 + 62*z**2 + 2*z - 6*z + 4*z + 1613.\nAnswer: 62*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -359 - -4661\/13. Let i(y) = -26*y. Let o be i(-1). Let j = -26 + o. Are f and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 12 + -9. Suppose -3*x = 5*j + 3, -y*x - 5 = -5*j - 2. What are the prime factors of (j - -1)*(22 - 8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*i**3 - 165 + i**4 + 299 - 210 in the form z*i + x*i**2 + s*i**3 + h*i**4 + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -2*u - u + 2*u**4 - u**3 - 4*u**2 - 2 + 4*u**2 as r*u + x*u**2 + z + l*u**3 + g*u**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:17 PM and 4:27 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llklknlllnnlkllnlllk?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60893*y + 61020*y - 121882*y.\nAnswer: 31*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 33.37 - 33. Let c = 83558180 - 83558180.36999947. Let h = t + c. What is h rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -243\/299 in 0.4, -0.03, 4, 1, -17, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lxuluuuuuxlxxxxxux. What is prob of picking 1 l and 1 x?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 33531991 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x - x - 2*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000004190726 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 24 = -5*g, -5*i = 3*g - 2*g + 18. Let k = 0.4 - 0.3. Let v = 0.1 - 2.1. What is the nearest to k in g, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 118 - (1 - -2 - 7). Let w be (-1 - 0) + p + 4 + 1. Let y = 61 + w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**3 - n**2 + 12*n - 12. Let k be w(1). Which is the second smallest value? (a) k (b) 0.4 (c) -5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-7\/3)*((y**1*y)\/y*y)\/y)\/(y**12*y**(-6)) assuming y is positive.\nAnswer: y**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 102648707 + -2?\nAnswer: 102648705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -275 - 44*r**4 + 275 + 156*r**3 - 164*r**2 + 56*r - 4*r**5 = 0. What is r?\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6358038 divided by 4?\nAnswer: 3179019\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 4*l + 56. Let v = 61 + l. Let f = 36 - 16. Calculate the greatest common factor of v and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from ldflfxxlxxlxx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -459 or -225?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + s + 96 = 0. Suppose 43*y - s*y + 11155 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2275988 divided by 1012?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(170) + -2*sqrt(170) + sqrt(170))*-3)\/(sqrt(1000)*-3) + ((0 + sqrt(272))**2 + sqrt(17) + sqrt(51)\/(sqrt(3)*1))*2*4.\nAnswer: 16*sqrt(17) + 2176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is s in -3*s**3\/5 - 65754*s**2\/5 - 4260507*s\/5 + 18094284\/5 = 0?\nAnswer: -21853, -69, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*1746299.\nAnswer: -1746299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -9802.5 to the nearest 100.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 4\/9, 26, -13, -4, 0, 4\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 10960054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 10*h - 47. Let c(i) = -29*i + 155. Determine -8*c(g) - 23*p(g).\nAnswer: 2*g - 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2500 - -1?\nAnswer: -2488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -3, -112, -933 in descending order.\nAnswer: -0.4, -3, -112, -933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -2*l**2 - 3*l - 3. Suppose -423 = 3*i - 417. Calculate z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -6*d. Let u(z) = 2*z. Let g(x) = 10*u(x) + 3*y(x). Let f = -25 + 26. Let t(b) = -f - 6*b + 3 - 2. What is t(g(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 - -7. Suppose f - 4*j - 501 = 0, -1471 - 1053 = -h*f + j. Is 30 a factor of (-2)\/12 - f\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 942 * 0.3.\nAnswer: 282.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -930 = -3*v + 2*w - 1091, -w - 106 = 2*v - 3*w for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -350281 = -60*c - 46261. What are the prime factors of c?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -10*a - 30. Calculate s(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 0.1 (b) -2 (c) 5\/6 (d) 0 (e) -432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/13 (b) 1809 (c) -5\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 + 56*x**2 + 239*x + 84. Give z(60).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = a - 4, -4*n + a = -0*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/s**(2\/49)*s*s\/(s*s*s\/s**7)*((s\/((s*s**2)\/s))\/s)\/s**13 assuming s is positive.\nAnswer: s**(-394\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, 0.16, 11, 0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*q - 16*q - 3 = -2*g, 5*g = 5*q - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -8387168 divided by -4193584\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gkbssgsiksigisu. Give prob of sequence isu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42 - (-33231)\/792) + 3\/(-120).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/2265 and 73\/3.\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -54.88 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 221*f - 1618*f = 16021 - 6242 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1606948*p - 8*p**3 + 66*p**3 + 1606957*p.\nAnswer: 58*p**3 + 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-6\/11)*p**(-3\/2)*(p\/p**(-17))\/p**(-2\/13) assuming p is positive.\nAnswer: p**(4607\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 26546 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -100 (base 3) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -19034 or 475?\nAnswer: -19034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 - 3*p**2 - 5*p - 6. Let b(k) = -k**3 - k + 1. Calculate the remainder when h(5) is divided by b(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = -2*j + 8, 52*s - 55*s - 4*j + 16 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(-30)\/l)\/l**34)**(3\/17))**(-2\/121) assuming l is positive.\nAnswer: l**(390\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 5*c + 21. Let r(q) = -q**3 - q**2 + q - 3. Let s be r(0). Let v = -8 + s. Let l(h) = -h - 4. Determine v*l(y) - 2*n(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000019664 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4300138612 - -1\nAnswer: -4300138611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - -42 - (122 + 3 - 103)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 10*o**2 - 27*o - 25. Suppose 3*c - 91 = 2*a, -c + 9 = 3*a - 25. Calculate the remainder when c is divided by t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -2755 (base 12) to base 7.\nAnswer: -16130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2029607 or -2029610?\nAnswer: -2029610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 483688504 + 10589.\nAnswer: 483699093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (7 - 1) + 12\/(-6). Let z(f) = f - 2. Let c be z(k). Let x(y) = -y**2 + 20*y + 1. Let p be x(20). Is p less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46224 divided by -6.\nAnswer: -7704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 255841, 255871, 255901, 255931, 255961?\n\"Answer: 30*n + 255811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bpobbpofopnnoon.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -2087475 divided by -975?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 5, t: 2}. What is prob of picking 1 t and 1 w?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.02, 0.5, -0.1, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 15*l - 25*l**2 - 23*l**4 - 20*l + 161*l**3 + 0*l**4 - 812*l**2 + 80*l**2 wrt l.\nAnswer: -552*l + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 4865, 9713, 14537, 19337?\n\"Answer: -12*t**2 + 4884*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 191\/18845340 and -89\/380.\nAnswer: 18845340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 + 15 = 6*r. Let h be r + (6 - 0) - -2. Solve -16 + 0 = -2*p - 5*z, 0 = 2*p + z - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -6*j**2 + 1969*j - 340. What is l(328)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + c**3)*(3*c - c - c) + (c**4 + 7*c**4 - 3*c**4)*(-17 + 13 - 33)*(-1 - 3 + 5).\nAnswer: -184*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -3412 > -3246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let g = -33 + 81. Let m = 83 - g. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -g*k**3 - 18595*g*k**2 + 3*g*k - 394235*k**3 wrt g?\nAnswer: -k**3 - 18595*k**2 + 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2736 = -40*v - 64*v + 161*v. What is the highest common factor of v and 5532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31485622?\nAnswer: 2, 7, 19, 41, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 6327497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**3 + 6*u**2 + 9*u + 5. Let v be m(7). Let k = v + -1. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*q + 102*q + 25*q + 1029 = -643 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/5)\/(12\/40). Suppose 10*c - 6 = f. List the prime factors of (-9 - -32) + (-1 - c).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1100709.\nAnswer: 3, 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 - 55. Let v = u - -45. Suppose k = -4*p + 7, 2*k - 2*p = v + 4. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 5) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*o - 2*o + o)*(-o + 89*o**2 + 97*o**2 - 184*o**2 - 21*o**3).\nAnswer: -84*o**4 + 8*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 165 (base 7) to base 6\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) 3901 (c) -2\/23 (d) -2\/3 (e) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 5*n + 4*p - 18, n - 6 = -p. What is the derivative of x - 3*x - 2*x**4 - 3 + n*x wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13.3191 + 12.575. What is s rounded to two decimal places?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1899817.1 rounded to the nearest 1000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 78010 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 2*l + 2. Suppose -6*r - 38 = 4. Let j(d) = 8*d + 35. Let y(q) = 12*q + 50. Let i(k) = 7*j(k) - 5*y(k). Give r*m(o) - 3*i(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u + 4*u - u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f**2. Let s(c) = 1904*c + 8568. Let i(b) = -b + 4. Let a(t) = -2142*i(t) + s(t). What is a(d(y))?\nAnswer: 8092*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -1\/41824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-2 + -6*-1*sqrt(1008) - 3*(sqrt(1008)*1 + 5))**2.\nAnswer: -46805 + 6120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -91 + 166. Suppose 6*z - z = x. Let y = -598 + 598.2. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -34564\nAnswer: 1\/8641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 + 4*v - 1. Let l = 0 + 2. Let u be l\/8 - 3\/(-4). Let k(x) = x. Determine u*q(n) - 2*k(n).\nAnswer: n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*j - 7. Suppose 0 = -2*o + 5*y + 6, 5*o + 5*y = -9 + 24. Factor 10*w - 2 - 4 + o - 2*w**j - w**2.\nAnswer: -(w - 3)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -131.\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express n**2 + 3*n**2 + 10*n**3 - 6*n**2 in the form r*n**3 + w*n**2 + u + t*n and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5678221.0647 - -5677707. Let d = q - -514. Round d to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p = -3 + 139. Let a(y) = 10 + 2*y + p*y + y**2 - 40. Is a(-22) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.052 and -10.\nAnswer: -10.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-25)*v*v**(-3))\/(v**(-8))**(-28))**(-17) assuming v is positive.\nAnswer: v**4250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4333 + -4329. Let k(t) = t**3 + 6*t**2 - 9*t - 8. Let a be k(-7). What is the greatest common factor of a and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 30976, 61898, 92820?\nAnswer: 123742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200 + 110111112102020?\nAnswer: 110111112101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.8 - 0.5. Let i = g - 0.8. Let s = -2\/27 + -5\/54. Which is the second biggest value? (a) i (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 54 - 50. Let m = -3 - -2.6. Let y = 6 + -9. Which is the third biggest value? (a) m (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9380 + -9379.95882. What is d rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence whwh when four letters picked without replacement from wwwhwwwwwwh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13.1 - -13. Put -2, 3\/5, s in descending order.\nAnswer: 3\/5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 20 = -3*x, 0*x - 8 - 4 = 1256*u - 1259*u - x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-1)*(1 - 2). Let a be 6*((-7)\/(-2) - n). What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(208) + sqrt(208))\/(sqrt(64)*-2).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35616 divided by 4.\nAnswer: 8904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -4 - 5*u**2 + 15*u**2 - 11*u**2. Let x(i) = -5*i**2 + 20*i - 30. Let c(w) = -4*w + 1. Let m(y) = 5*c(y) + x(y). Calculate -4*m(g) + 25*n(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/10)\/k**14)**(-18) assuming k is positive.\nAnswer: k**(1269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*v + 66756 = 66486 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2024 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1573\/5 + -312. Let i = -9 + 13. Do i and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 3:38 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 186703285 to the nearest integer?\nAnswer: 13664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4.685 - 3.278. Let a = w + -1.57. What is a rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 4*z - 44 = 0, 0 = g - 4*z - z - 32. Let p = g - 7. Suppose t = p + 10. Solve -2*y = -3*m - y - 5, -2*m + t = 3*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -439 by -9460.\nAnswer: 439\/9460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the first derivative of -3\/5*x**4 + 8\/3*x**3 + 12\/5*x + 1\/15*x**6 - 19\/5*x**2 + 157 - 4\/25*x**5. Let s(j) = 0. What is j?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(1\/9)*u**5*(u**(-5\/6))**(2\/7) assuming u is positive.\nAnswer: u**(307\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -10*o + 47. What is t(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 387852313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be 48\/(-6)*(-1)\/1. Let p = 13 + -10. Suppose 2*t - 5 = p*z, -2*t = 2*t - 4*z - 12. Calculate the greatest common factor of w and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**2 - 9*s + 5. Determine n(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of 2 and 26.572.\nAnswer: 28.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -1001011002212 (base 3) to base 4.\nAnswer: -2013102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(10)\/(sqrt(6)\/(sqrt(3)*1)))**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p - n - 382, 2*n - 5*n = -5*p - 486. Let v = p - -101. Solve -4*m + 23 = 3*q, -5*m - v*q + 33 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/((c*c**(-3))\/c*c))**17)**(4\/17) assuming c is positive.\nAnswer: c**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -1037 by -61.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 1900 by 1.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0, -5.7, -0.5, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 430 and 301?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/37*(-3)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 - 7. Let y = d + 0. Suppose -2 = p - y. Solve 5*z = -3*f - p, -z - 3*f + 13 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -709 + 664. Let p be (-63)\/v + -5 + 5. Put -2\/7, -4, p in ascending order.\nAnswer: -4, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v - 2. Let u be r(-2). Solve 3*n = b + 5*n - 6, u = 3*b - 3*n + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 9736 - 1599. Let n = -967 + c. What is n rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*h**2*j*q**2 - 8*h**2*j + 476*h**2*q**3 + 66*h**2*q**2 + h*j*q**3 + 4*h*j*q**2 + 8*h*j + 24918*j*q**3 - j*q wrt q?\nAnswer: 2856*h**2 + 6*h*j + 149508*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*44*7\/14. Calculate the highest common factor of w and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 4*c = -20, -46*c - 4 = 3*x - 50*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 42 = 3*d. What is the highest common divisor of d and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -13*p + 135. What is the greatest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -35*p**3 - 575*p**2 - 2640*p - 2700.\nAnswer: -5*(p + 6)*(p + 9)*(7*p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w + 19319 + 24165. Let t = w - -7329. Let q = t + -7858. What is q rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 51, 115, 199, 315, 475, 691, 975, 1339?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10575697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/10 and 478\/(-180) - (-6)\/(-15)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -106\/3733 or 1.5?\nAnswer: -106\/3733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -4.564, -2, -7, -3.\nAnswer: -7, -4.564, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 + 5. Put l, -3\/4, 0.4 in ascending order.\nAnswer: l, -3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -14*r**2 - 4*r**2 + 1 - 2*r**2 + r**2. Let s = -1 + 0. What is l(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 44370127*c**2 + 127*c - 132420 wrt c?\nAnswer: 88740254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the second derivative of n**3\/6 - n**2\/2 - 115*n + 1. Let c(t) = 8*t. Determine -c(f) + 6*w(f).\nAnswer: -2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11 + 11. Suppose -2*s + 20 = 4*f, -2*s + f + 0 - 5 = b. Suppose 9*a - 4*a + 14 = y, s = y + 4*a + 4. What is the remainder when 11 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 17.966, 1, 2\/11, 4, -8\/19 in decreasing order.\nAnswer: 17.966, 4, 1, 2\/11, -8\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o + 2. Let m be z(1). Is -0.08 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*l + 4*s, -5 = -2*l + s + 2. Let r(o) be the first derivative of 1\/5*o**2 + 2 - 2\/15*o**l + 0*o. Let r(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2*(-2)\/4*1. Let m be 3 + (k - -1) + -3. Solve -4*s = -m*v - 24, -16 = 3*v - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a + 2*a - 3 - 3*a**2 - a**3 + 0*a**2. Let d(k) = 3*k**3 + 8*k**2 - 8*k + 8. Suppose g + 23 = 4*q, 2*q - 4*q + 7 = g. Give g*d(t) - 8*j(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of -j**4\/8 - 14*j**2. Let f(o) = -o**3 + 7*o**2 - 5*o - 2. Let w be f(6). Let u = w + -6. Calculate t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 98 divide 1811458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*w - 587*w + 77*w - 109*w = -45570 for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 120*f**3 + 85*f**3 - 63*f**3 - 2 + 1 + f**2 + 128*f**3 to the form p*f**2 + n*f**3 + x*f + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 574\/(-10)*3555\/(-4977)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 10:22 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 120157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/4, -6, -1\/10, 387, 4, 14, 5?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 192 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**2 + 11904*b - 23792.\nAnswer: -4*(b - 2974)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1012838.83 - -1003139. Let i = s - -9699.73999952. Let r = i + 0.09. What is r rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 256751 * -0.3.\nAnswer: -77025.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 194 - 196. Which is the closest to 0? (a) -0.3 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1716, 6084, 13358, 23532, 36600?\n\"Answer: -v**3 + 1459*v**2 - 2*v + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -314*a**2\/15 - 189552*a\/5 - 3622\/15.\nAnswer: -2*(a + 1811)*(157*a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/(-6)*(-39)\/26. Let q be d\/(-6) - (-4)\/(-12) - 6. Let h(i) = -i**2 - 11*i - 14. What is the lowest common multiple of h(q) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 24730 + 2?\nAnswer: 24732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/8721 and 73\/885?\nAnswer: 2572695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n - 6*n - 8. Put 0, -3, n, 3 in decreasing order.\nAnswer: 3, 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 1 (b) -270 (c) -0.2 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the first derivative of 13*t**2\/2 + 6*t - 21. Let y be f(0). Let d be (-10)\/(-3)*15\/10. Solve d*v - 9 = y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -33 + 37. Solve 0 = -0*p + 4*p + d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r - 8. Let t be z(-7). Let p(b) = 14 + 6 - 24 + 5 - 11*b**2. What is p(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -4\/9*i**3 + 0 - 2\/9*i**4 + 2\/9*i**5 + 0*i + 0*i**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes after 3:23 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -12a992 (base 11) in base 2?\nAnswer: -110010000000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -181953 divided by -16.\nAnswer: 181953\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -32*v - 3. Let j be w(2). Let n = j + 145. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 92 = 45*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 395732844 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 93879 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1771833 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1.11109735 - 82\nAnswer: -83.11109735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 2*f + 8. Let g(d) = -d**2 + 5*d. Let t be g(f). Let n(h) = 6*h**3 - 3*h + 3. Let x(i) = 5*i**3 + 2 + 0*i - 2*i + 0*i**3. Give t*n(l) - 5*x(l).\nAnswer: -l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -785913.9 and -33507304?\nAnswer: 32721390.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 1502a8?\nAnswer: 1502ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -7815 divided by 1\nAnswer: -7815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 17*-0.21\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -0.5 (b) 1 (c) -0.3 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 2010348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 460418763 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 34 - 26. Let x be 1*(1 + 1)*h. Let u be -1*6\/(-5) - 20\/(-25). Calculate the greatest common divisor of x and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**3 - 3*x**3 + x**3 + (5*x**2 - 9*x**2 + 8*x**2)*(-6*x - 1 + 1) + 0*x**2 + x**3 + 0*x**2.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 + -965?\nAnswer: -96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 81891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the second derivative of 44*n**6\/15 + 83*n**4\/3 + 260*n. What is the third derivative of j(r) wrt r?\nAnswer: 2112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1156147012 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 2*d + 16*z = 59*z + 14 + 19, 0 = 5*z + 5 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 18 = 5*n + 12, -6 = 5*x + 4*n. Suppose 0*f + x*f + 220 = y, 4*f = 5*y - 1070. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 2.2, -403, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 732\/14 + 6\/(-21). Let b = -40 + y. Solve -2*x + b = -6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - 0 - (4 - -4 - -3)) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 10 = -5*c, -3*c + 6 = -3914*o + 3918*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1881264 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + ((29 - -5) + -12 + 7 + 12 - 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 38, -1\/3, 4, 149563 in decreasing order.\nAnswer: 149563, 38, 4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -17*t**3 + 17*t**3 - 13*t**5 + (-1 - 2 + 2)*(-t**3 + t**3 - t**5).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 2057070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**3 + 2*z**2 + 2*z. Let s be (168\/35)\/((-4)\/(-10)). Let k be 30\/s - 1\/(-2). Determine l(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 8*v**2 - 5*v - 5. List the prime factors of t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -177.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, z: 3}. What is prob of sequence zzzw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from yffffffffffwf.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -113 divided by -3?\nAnswer: 113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4019427*h - 1232 = 4019515*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 1793 + 916 = -925 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 62*j + 12. Let r be z(2). Calculate the highest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.008407 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**3 - 25*k**2 - 18*k + 101. Let p be v(25). Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 131 times -0.08\nAnswer: -10.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 24 - 20. Solve -9 = -c*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence th when two letters picked without replacement from eeqeqbvebhbetbvqbvb?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 45196*i - 45150*i = 782 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 4, 3\/4, 26\/343, 1 in increasing order.\nAnswer: 26\/343, 3\/4, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 14943465 or 14943466?\nAnswer: 14943466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-120)\/25 - -6)\/((-6)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -3.26718 to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 375 divided by -75.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 6160.467 millilitres to litres.\nAnswer: 6.160467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 311110 (base 5) to base 9\nAnswer: 14833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004982 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/648)\/(18 - 5705\/315)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/470226 and 37\/3270?\nAnswer: 2351130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(1\/5)*(z**(-2)*z)\/z*z**2*z\/z**(-5\/3) assuming z is positive.\nAnswer: z**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -518 + 520. Suppose 4*j - 4*k + h = 14, 2*j = -3*k + 6. Solve 0 = 2*u, -j*r - 2*u = -0*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.1698 - 1.8302. Let u = 7 + -10. Sort u, -0.1, 2\/3, x in descending order.\nAnswer: 2\/3, -0.1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the third derivative of 0*k**6 + 0*k - 1\/30*k**5 + 0*k**7 - 1\/168*k**8 + 0*k**4 + 0 + 0*k**3 + k**2. What is the third derivative of c(o) wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5188954 = 123*d - 5184526 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/3 + (-94)\/(-3). Suppose 0 = -n + 3*s + j, s = n - 29 - 10. Calculate the remainder when n is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the third derivative of j**9\/30240 - j**8\/3360 + j**7\/1008 - j**6\/720 - j**4\/12 - 7*j**2. Let v(g) be the second derivative of m(g). Solve v(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 23951 divided by 12\nAnswer: 23951\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 10 + (0 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 4*d**3 + d**2 - d - 1. Let y be o(-1). Is 162 + -3 + y\/1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 4284, 4285, 4286?\n\"Answer: b + 4283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*s + 7*s + 15*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 11990414 by 733.\nAnswer: 16358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/19? (a) -0.6 (b) -143 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 7*i + 24. Let b(m) = -11*m - 36. Let j(z) = -5*b(z) - 8*p(z). Let d be j(-16). Suppose 4*w - k - 2*k = 423, 428 = d*w - 4*k. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 4*k - 5 + 2, -4*w + 4*k = 0. Let s(z) = -z**2. Let y(i) = -3*i**3 - 3*i**2 - i. Give w*y(g) - 5*s(g).\nAnswer: -3*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2371*n - 2361*n + 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3935 - -5828. Calculate the smallest common multiple of 12 and v.\nAnswer: 7572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 + 5*r - 3. Let u be a(3). Let z = 21 + -83\/4. Determine t, given that 1\/4*t + 0 + z*t**4 - 1\/4*t**u - 1\/4*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/((o*o\/o**(1\/3)*o)\/o))**5 assuming o is positive.\nAnswer: o**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -44*s + 33. Is y(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of 0*y - 1\/120*y**6 + 0*y**4 + 0*y**3 + 13 - 6*y**2 + 1\/15*y**5. Let l(o) be the second derivative of b(o). Factor l(c).\nAnswer: -c**2*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1390.191045 - 1397.191. Let i = -7 - d. Round i to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 154 - 241. Let x = k + 87.0342. Let m = x + -0.018. What is m rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**2 - 14*v + 22. Let z be t(-15). Suppose 25 = -z*k + 12*k - 5*y, 5*k = -4*y + 7. Solve 13 = -3*a + o, a + 5*o = -k*a - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -176 by -8309.\nAnswer: 176\/8309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*r + 5*s - 79 + 58, -2*r - 12 = 4*s for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.186 - -512.814. Let r = 394 - f. Is 0 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 9.377 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the second derivative of -s**5\/40 - s**4\/4 + 5*s**3\/2 - 7*s. Let n(w) be the second derivative of u(w). Determine n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j - 4*j - 20 = 0. Suppose 4*k = g + 124, 2*k + 62 = j*k + 5*g. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 39985 = -5*j, -4*j = 25*v - 24*v - 8017. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (27\/(-1188))\/((-10)\/56) and 51\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 173002\/3 (b) -2\/19 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 4*h**2 + 121. Calculate y(0).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3222621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 3*w - l = -359, -3*w - 3*l + 213 = 0. Let p be (3 - 2*105\/w)\/1. Which is the fourth biggest value? (a) 5 (b) 1 (c) 4\/5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2*c**3 + 4*c**2 - 6*c. Let x(l) = -3 - 22*l + 3 + 23*l. Let b(r) = a(r) + 6*x(r). What is n in b(n) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 222 + -34. Let m = o + -203.6. What is m rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 17*l - 3. Calculate b(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**2 + 0 + 0)*(2*r - 3*r + 3*r) + 3*r**3 + 2*r**3 - 3*r**3 + r**2 - 4*r - 362*r**3 - 11*r + 363*r**3.\nAnswer: 7*r**3 + r**2 - 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of -d**3\/3 + 7*d**2 - 17*d + 74. What is the units digit of n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8317 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 299\/11 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1443\/(-26))\/37*(-1)\/4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 7, v: 3, u: 4, e: 1, y: 4}. Give prob of picking 2 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - (-32)\/(-15))*20\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 - 3 - 1)*(97 - 97 - 203*a + 2*a**2).\nAnswer: -28*a**2 + 2842*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -1116435 + 1117233 = -38*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 3*m + 2*g - 5, 3*m + 5*g - 31 = 0. Suppose 0 = -2*s - m, -4*y + s + 28 + 25 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, d: 3, c: 2, e: 4}. What is prob of sequence iec?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 0)*(-2*t - 3*t + t).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 128227.\nAnswer: 11, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - z - 4 - 3, 2*j + 5 = 3*z. Suppose 2*m = j*m + 4*m. Let l be (3\/(-9) - (-26)\/6) + m. Solve -5*c - 20 = -d, -2*d + l*c = d - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -439 + 867. List the prime factors of n.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1272678991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the first derivative of -j**3\/3 + 1. Let c(y) = y**2 - 5*y + 5. Let w(k) = -2*k + 2. Let l(g) = 4*c(g) - 10*w(g). Determine l(p(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**5\/w)\/((w\/w**(2\/17))\/w))\/(w\/((w*w**(-4\/9))\/w))**(-3\/38) assuming w is positive.\nAnswer: w**(8201\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.16 - -0.16. Let o = 11 - 8. Which is the second biggest value? (a) 1\/2 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*a - 1778*a**2 + 2 - 2062*a**2 - 2.\nAnswer: -3840*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1 + 7*w**2 + 172678*w + 172681*w - 11*w**2 - 345340*w.\nAnswer: -4*w**2 + 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7722?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-20)\/12 - -2)*9. Suppose o*k = -2*s + 270, 4*s - 8*s = -k - 526. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.7 - -2. Let d = -1.09 - -0.868. Let o = u + d. Round o to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - k + 1)*(-376*k**2 + 20 + k**4 + 25 + 374*k**2).\nAnswer: -k**5 + 2*k**3 - 45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -5*j + 10. Let d be ((-2)\/((-6)\/9))\/1. Let r be i(d). Let p(o) = o + 2. Let n(u) = -u - 3. Suppose 2*g + g = -9. Give g*n(k) + r*p(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0\/(-2))\/((-2)\/4*-8). Is 66\/(-1)*(o - 220) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + t)*(262*t**2 - 120*t**2 - 91*t**2).\nAnswer: 51*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 5*k - 2394 = 0, -3660 = -3*u + 10*k - 14*k. What is the smallest common multiple of u and 42?\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 - 2*o - 3. Suppose 20*n = 3*n + 34. Suppose n*h - 9 = -1, -a - h = -9. Calculate z(a).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -2\/31, 0.2, -1.1, -3, -2.\nAnswer: -3, -2, -1.1, -2\/31, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5 + 2a23b?\nAnswer: 2a244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 196.8 + -196.8. Which is the third smallest value? (a) -31\/3 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 752 and 14?\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 222618.1nm?\nAnswer: 222.6181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + 1201102?\nAnswer: 1201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - ((-54)\/297)\/((-12)\/33).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 87 + -93. Let m be (-1)\/c*64\/(-16). Let f = -8 - -9. What is the second smallest value in f, -0.04, m?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1204173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, u: 4, b: 8, r: 3}. What is prob of picking 1 u and 1 x?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -32 + 46. Let v = 14.2 - d. What is the nearest to -1 in v, -5, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6285\/1260 - 6 - -1. Which is the biggest value? (a) 2\/11 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 21*(14\/10)\/(48\/(-80)). Let q = y - -54. What is the second biggest value in 0.5, 0, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) 1\/8 (b) -3.8 (c) 2\/15 (d) -12 (e) 0.5 (f) 57\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16909528 is divided by 213?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/((((((j**(-6)*j*j)\/j)\/j)\/j)\/j*j)\/j)*j)*j)\/((j*(j\/(j*j**(1\/15)*j))\/j)\/j*j) assuming j is positive.\nAnswer: j**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 3*sqrt(275).\nAnswer: -3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1811*b - 2118*b + 28858 for b.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 95, 185, 279, 377, 479, 585?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -19628\/27 less than -726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 313 - 177. Suppose -q = -27 - b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 2*w - 8 = 0. Let q(s) = s**3 - 4*s**2 + 5. Let a be q(w). Solve -4*c - 3*n = n - 8, -a*n = -c - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3608 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from llltlllllllllltlltll?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5905791m in millimeters?\nAnswer: 590.5791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -3*d + 45. Let m be (-9)\/(-4) - 2\/8. Let f be 237\/27 - m\/(-9). What is the greatest common factor of f and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6 or -107\/18?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31*-0.05.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3 - 59*k**2 - 828*k.\nAnswer: -k*(k + 23)*(k + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 477353038 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -725126244 times -3\nAnswer: 2175378732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.5 + -0.5. Which is the closest to -2\/5? (a) o (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -24*o**2 + 3. Let m(u) = u**2. Give m(r(t)).\nAnswer: 576*t**4 - 144*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*f + 0*f - 2*f + f**2 + f + 3*f**3 - 3 to the form n + y*f**2 + j*f**3 + d*f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.23 (b) -2.5 (c) 3\/44 (d) -3 (e) 1925\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -599*o + 2 - 1 - 63*o.\nAnswer: -662*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*a**3 + 2*a**3 + 398 + 696*a**4 - 259 - 175*a**4 wrt a.\nAnswer: 2084*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325534 divided by -325534?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.37 + -4.37. Let d = -23 - -23.07. Let i be 12\/(-8) - 2\/4. What is the third smallest value in d, c, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:16 AM and 8:04 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 738096548.\nAnswer: 2, 7, 17, 43, 36061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-48)\/126)\/(80\/(-140)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes before 10:54 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -48 - -296?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 187087200 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 9.3167 to 1 decimal place.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (12 - (7 - 2)) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -10230653 and -0.3.\nAnswer: 3069195.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssdnnnonoosnon. What is prob of sequence nnos?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 6 - 5*g + 0*g + 6*g. Let p(q) = 1. Determine 6*p(y) - t(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-7 - (6 + -6) - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 7:17 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the second derivative of 0 + 3\/2*w**3 + 1\/20*w**5 + 4*w + 5\/6*w**4 - 5\/2*w**2. Let g be q(-9). Which is smaller: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**3 + z**3 + 2*z**3)*(-6*z**2 + 5*z**2 + 0*z**2) - z**5 + 5*z**5 - 3*z**5 + 629*z**5 - 619*z**5 + 2*z**2 + 0*z**2.\nAnswer: 9*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j**3 - j**2 - 2*j. Let k(u) = u + 27 - 69 + 27. Let t be k(17). Let c be v(t). Solve 4*h = c*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 37*c. Let u(d) = 73*d. Let w(m) = -9*o(m) + 4*u(m). Let z be w(-1). Suppose -43 = -4*p + z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 101 - -3?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.7 - -3.7. Let f = -0.09518 - -3.09483. Let t = f - l. Round t to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 3*h + 5 + 20, 4*x = h - 55. Let a = -4 - x. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1801, -1686, -1909, -2638, -4041, -6286, -9541?\n\"Answer: -28*z**3 - z**2 + 314*z - 2086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 16.5759534 microseconds?\nAnswer: 0.0000000001918513125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3981 - -4202. What is the highest common divisor of 289 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n + 1. Let d be o(-1). Suppose d = -t + 1, -2*f + 14 = 4*t. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 11:42 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -39296\/5 + 8045. Let b = j - 185. Let l = b - 6\/5. What is the second biggest value in -1\/4, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4971, 3174, 11319?\nAnswer: 19464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(3 + (-82)\/28). Let c(t) = -t + 24. Let m be c(h). Factor -3 - 9*l**2 + 3*l - m*l - 9*l + 4*l.\nAnswer: -3*(l + 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/96 and (42222\/4608)\/(-31) - 5\/(-20).\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48\/(-98)*((-24864)\/(-288))\/(-37).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - -2)\/(-6) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1334392206 to five dps.\nAnswer: 0.13344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14 + 446*h**2 - 2*h - 2*h - 445*h**2 to the form k*h**2 + v*h + c and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be -8 + 3632\/504 + ((-12)\/(-21))\/1. Let s = -241\/1326 - -5\/78. Which is the third smallest value? (a) -1 (b) -3 (c) p (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 24966 - 24965. Suppose 4*c - 5*k = 25, 0*k = -4*c - k - 5. Let f = 9 - c. Solve 0 = 5*m + b + f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + (-12)\/10)*(96\/480 - 13\/(-10)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2443020?\nAnswer: 2, 3, 5, 19, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 8*y**2 + 137*y - 152. Determine v(-20).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 146 (base 9) to base 5\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 997244 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add -3006679 and -79436812.\nAnswer: -82443491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15688*r**2 + 15672*r**2 - 547*r + 547*r.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7485.5 - -7508. Let l = -28.053013318 - -50.55301312. Let y = l - t. Round y to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -23*g - 176469 + 175756 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4083 = -7*t + 4*c, -2*t + 9*c + 1170 = 7*c. Solve -573*p + 48 = -t*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -96742875 or -96742876?\nAnswer: -96742876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -29 and 0.51?\nAnswer: -14.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-24)\/(-36)*48\/2. Solve 3*a - q + t = 0, q - 24 = 3*a - 2*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1 (c) 0.5 (d) -5\/3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -36, 1\/30, 18?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 623 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - (0 + 0) - (-13 + 22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by 1756.\nAnswer: -9\/1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8, -14, -82, -220, -452, -802, -1294?\nAnswer: -1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the third derivative of f**4\/24 - f**3\/6 + 46*f**2. Let p = 2 + -2. Give h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**2 + s - 1. Let n(b) = -b**2 + 8*b + 1. Let y(z) = -2*l(z) + n(z). Let t be y(-7). Let m = 35 - t. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 335121673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11 and 11 + (-6 - 2) - (-1 + -92).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10933 (base 16) to base 2.\nAnswer: 10000100100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 34*j**2 + 154*j + 153. What is f(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 4947 by 11.\nAnswer: 4947\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/21)\/(38\/133).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 - 1 - (-42 - -6). Let y(o) = 7*o**2 - 15*o - 5. Let w be y(-5). Suppose -q = 6*g - w. What is the remainder when 67 is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1131950.\nAnswer: 2, 5, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(180)\/(sqrt(1000)\/sqrt(4)))\/(2*-1*sqrt(6) + sqrt(6) - 1*sqrt(486)).\nAnswer: -sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 4:41 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 203473.\nAnswer: 17, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let t(u) be the first derivative of -u**3\/9 - 107*u**2\/6 - 106*u\/3 + 2326. Factor t(m).\nAnswer: -(m + 1)*(m + 106)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -5 + (sqrt(11) + 1 + sqrt(11))**2.\nAnswer: 4*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1366157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -14*j. Let v(i) = -318*i. Give v(n(r)).\nAnswer: 4452*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -253, 0, 3\/5, 1\/5, -7, 8 in descending order.\nAnswer: 8, 3\/5, 1\/5, 0, -7, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 32*p - 12*p + 15*p + 2*p. Let c(z) = -4*z. Give s(c(b)).\nAnswer: -148*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -59 + 61. What is the derivative of -h + 0 + 14*p**4 + 25 wrt p?\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -17ac90 (base 13) to base 12.\nAnswer: -248633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*s - 525 = -14*s + 110*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5\/2 or 148?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17431741.\nAnswer: 17431741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 113, 211, 299, 371, 421?\n\"Answer: -r**3 + r**2 + 102*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**3\/5 + 462*b**2\/5 - 183*b + 456\/5.\nAnswer: -3*(b - 152)*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 979, 976, 983, 1006, 1051, 1124?\n\"Answer: c**3 - c**2 - 7*c + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1038330 is divided by 789?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 5*k - 30. Solve -k = -0*j - 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 140*a**3*l - 91*a**3 - a**2*l + 160*a**2 - 7*a*l + 3*l wrt a.\nAnswer: 840*l - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**2 + 308*z + 7968. Give j(-25).\nAnswer: 893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {d: 8, g: 1, o: 1, y: 1, p: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*b - 107456 - 544 = 0. Let g = 80941\/15 - b. Calculate the common denominator of g and 17\/201.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 192164\/(-53375) - -4 - (-3)\/15*-2. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 AM and 7:12 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -0.199, -0.2, -1 in descending order.\nAnswer: -0.199, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -10, -8, -3\/536, -2\/7, -2\/9?\nAnswer: -3\/536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 + 1111011011100010?\nAnswer: 1111011011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 948534.2 rounded to the nearest 1000?\nAnswer: 949000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand x**4 + 3*x**4 - 3*x**4 + (3*x**4 + 2*x**4 - 4*x**4)*(4 - 2 - 4) + (10*x**2 + 9*x**2 - 6*x**2)*(6 + 2*x**2 - 6).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 2*d - 4. Suppose -5*f - 3 + 23 = 0. Let i be t(f). Suppose -2*r + 3*p = 4*p + 4, 16 = 4*r - i*p. Solve r*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**3 - 4*r**2 - 4*r + 14. Give o(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 250 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.0485 (b) 3 (c) -2\/11 (d) -1\/4 (e) 2\/9 (f) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((sqrt(136) + -1*sqrt(136))*-5*5)\/(5*sqrt(40)\/sqrt(5)*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/2 - (-2)\/1. Let q(y) = -2*y. Suppose -5*j + 242 + 138 = 0. Let z = -82 + j. Let u(p) = -2*p. What is r*q(t) + z*u(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -398 or -1589\/4?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.006762815 to four decimal places.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 4*p - 132 = 134, -4*b + 3*p = -499. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3615 + 66002977?\nAnswer: 65999362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a**3*n**3*x - 6*a**3*n**2*x - 297*n**3 - 62*n**2*x wrt n.\nAnswer: 12*a**3*x - 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -71592\/18733 - -6\/1703. Which is the biggest value? (a) 11 (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 129 divide 92622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4 + (-4 - (-4 - -4)))\/(-1). Let b be (2 - (1 + s))*3. Solve 5*v + 2*p + 13 = 0, 0 = -4*v + b*p + 4 + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(4) - (sqrt(4) - sqrt(8)\/sqrt(2)))\/sqrt(2))**2 + sqrt(18)\/(1*sqrt(9)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -152 - -1061\/7. Let l = -91 - -213. Let n = l - 126. What is the second smallest value in z, 5, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rqvxrkz. Give prob of picking 1 v and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -132341 (base 5) to base 8\nAnswer: -12342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3*j = 4, 3*j + 26 = 4*f + j. Calculate the remainder when (15\/4)\/((-45)\/(-216)) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -440191*c*m**3 - 89922*c*m**2 - c + 2*m**4 wrt m?\nAnswer: -2641146*c + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2*1401141\nAnswer: 2802282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100329070 is divided by 15596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 30 = -2*r. Let u(j) = j - 10. Let t be u(r). Suppose -5*v - 13 = -t*z + z, 0 = -v - 3*z + 3. Which is the nearest to -4? (a) 3 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 + 0 = -4*a + 3*j - 2, -6470*a - 4 = -6464*a - 4*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 64139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 4*h - 5. Let l be s(2). Is 33 a factor of (l - -1) + 212\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -93 - -98. Let h be 5 + 0 - (2 - 0). Suppose -3*k + 6*k = -3, h*g - 7 = 4*k. Solve -g = 3*u + v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4638850534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 33 - 26.5. Let t = u - 6.6. Suppose 3*n - 1 + 13 = 0. Which is the second smallest value? (a) t (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-54)\/(-459)*-17 + (7 - 0). Let t(d) = -d**2 + d - 3. Give t(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(91)\/((sqrt(140)\/sqrt(4))\/sqrt(5)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 6 + 4*z + 2\/3*z**2.\nAnswer: 2*(z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11, -17, -13, 7, 49?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 + 187 = -2*g. Let s(q) = 6*q + 102. Let n be s(-6). Let r = g + n. Solve r = v + 4 - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*a + 18 = 36*a. Let c(h) = 64*h**2 + 6*h - 7. Let m be c(7). What is the tens digit of m\/63 + (-2)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6741 - 7*w**3 - 6741 + 6*w + 4*w**2 wrt w.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3, -49.03, 5, -4?\nAnswer: -49.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -37410*b - 30. Let n be g(-2). Suppose 2*a - n = 9856. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -12*l**3 + l + 1. Let b be n(-1). Is 2\/b - 221\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25496388 a multiple of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -345\/11, -4, -0.3?\nAnswer: -345\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*g - 3*a - 24, 4*a + 6 = -3*g. Find the common denominator of (25\/(-11))\/(g\/(-4)) and 4*49\/112*-3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m**5\/4 - 1277*m**4 - 6445621*m**3\/4 + 98994415*m**2\/2 - 5138000*m - 6599761000 = 0.\nAnswer: -2569, -10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2498)\/(-14) + 68\/119. Let l = -252 + i. Let v = -71 - l. Solve -v*h = -h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of 3985*f**4\/12 + 1591*f**3\/6 - 759*f**2. Differentiate i(a) with respect to a.\nAnswer: 7970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 100*a**3 + 4*a**2 + a - 7. Let i(z) = 198*z**3 + 9*z**2 + 3*z - 14. Let k(j) = -9*b(j) + 4*i(j). Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -2637960 divided by -14820\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 70912*r**3 + 546*r**2 + 10 wrt r?\nAnswer: 425472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -743, -1472, -2181, -2870, -3539?\nAnswer: -4188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*r**2 - 1 + 1 - 20*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 2259.736 and -989.\nAnswer: 1270.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*l + 125 = 5. Is (-19)\/(1026\/l) + 79366\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -15*o**2 + 6*o + 7. Suppose -6*l + 0 = 18. Let d be q(l). Round d to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 21*p**4\/5 - 339*p**3\/5 + 333*p**2 - 2289*p\/5 + 294\/5 = 0.\nAnswer: 1\/7, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d**1\/d*d)**10)**33 assuming d is positive.\nAnswer: d**990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 389*s + 97308 = 398*s. Does 106 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(700)*-2 - sqrt(700) - (-2 + sqrt(700) + -5 - sqrt(700)).\nAnswer: -70*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1650 and 175.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 9*u**3 - u + 1. Let c be ((-2)\/6)\/((-1)\/3). Let r be k(c). Solve m + 2*q + 0*q + 14 = 0, -m - r = q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 5*w**3 - 538*w**2 - 214*w - 126. Calculate k(108).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of -z**5\/20 + z**4 + 13*z**3\/6 + 13*z**2\/2 + 1403*z + 2. Give n(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3932.032l to millilitres.\nAnswer: 3932032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 115070 - 13612?\nAnswer: 101256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -256*a - 274*a - 254*a - 256*a + 1304*a - 281*a.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2527, 5055, 7583?\n\"Answer: 2528*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -2*h**2 + 4. Let y be l(3). Let f be y\/2*(-6)\/7. What are the prime factors of ((-8)\/f)\/(1\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*f**3 + 3*f**3 + f**3 - f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 56 + -65. Let o be w - 177\/(-21) - (-144)\/7. Solve o = 5*d - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4\/49 - 229\/196. Let q = -0.2 + 0.2. Sort q, 2, b.\nAnswer: b, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3355 - -3567. What is the highest common factor of 2014 and i?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the first derivative of 10*r**2 + 8*r + 16\/3*r**3 + 14 + r**4. Factor t(h).\nAnswer: 4*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from poopp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.1 + -3. Let t = -2.1 + 0.1. Which is the smallest value? (a) f (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 - 16*g + 1. Let r(b) = 8*b**2 - 67*b + 9. Let p(c) = -36*o(c) + 4*r(c). Suppose p(m) = 0. Calculate m.\nAnswer: 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p + 5. Let x be u(6). Let n(h) = -x + h + 2*h + 3*h. Let f(q) = q - 2. Calculate -22*f(v) + 4*n(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + -2. Let c be (-74)\/(1 - (-1 - w)). Let j = c - 51. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/49*7)\/(2\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -201 + 97 - 24*l**5 - 22*l**2 + 104 wrt l?\nAnswer: -1440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 714 = -396. Let k = f + -159. Let l = 15 - -7. Calculate the remainder when k is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1071262587 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 - 21*k**2 - 37*k + 19. Let q be u(-19). Solve 3*c - 27 = 3*y, 6 = 4*c + 2*y - q*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -19*s**3 - 11*s. Let d(m) = -6*m**3 - 4*m. Suppose -20*x + 34*x - 70 = 24*x. Determine x*d(c) + 2*w(c).\nAnswer: 4*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -99789 (base 11) to base 14\nAnswer: -3aa32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18.5 - -27. Let d = 9 - u. Let l = 7 - 11. Put l, 3, d in descending order.\nAnswer: 3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -45 + 24. Let c = -16.7 - q. Let u = -4.3231 + c. Round u to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20488, -40976, -61460, -81940?\nAnswer: -102416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/1517*37*-23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13938 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -22*f - 193. Let v be q(-9). Suppose -v*w = 4*l - 42, -4*l + 58 = 9*w - 12*w. Solve -18 = -5*i - l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -134c62 (base 14) in base 13?\nAnswer: -1a4492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 1009761 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 58.5920245 minus 42143?\nAnswer: -42084.4079755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 - -0.08. Let a = -1.08 + v. Let n = -20 - -19. What is the nearest to a in -0.3, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/9*9\/6. Let x be (s\/6 + (-10)\/12)*-1. Which is the third smallest value? (a) -2 (b) x (c) 2\/13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-36)\/15*40\/12. Let a(y) = 9*y**2 - 4*y - 7. Let u(f) = -14*f**2 + 6*f + 11. What is l*a(i) - 5*u(i)?\nAnswer: -2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -5*k - 20724. Calculate the remainder when (-4)\/(-22) + k\/(-121) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 4f3d (base 16) to base 9\nAnswer: 30738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 377\/984 + 11\/328. What is the third smallest value in -0.5, 132, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 + 15 - 8)*(h - 2*h - h - 2).\nAnswer: 8*h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + -1 + -6 - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -353*h**2 - h. Let a(p) be the third derivative of -p**5\/15 - 89*p**2 - p. Give f(a(l)).\nAnswer: -5648*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q + 6. Let h be d(-5). Suppose 60 = -5*y + 4*m, -2*y + 3*m - 41 = -2*m. Let j = y + h. Which is the nearest to -1? (a) -0.5 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 160 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 639563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**3 - 8*w**2 - 10*w - 9. Let v be n(-7). Suppose 3*s - 8*s - 20 = 5*k, 0 = -2*k + 3*s + v. Suppose -3 = 3*u + 3. Is k at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*a**2 + 48552*a - 294662088 = 0. Calculate a.\nAnswer: 12138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -255294109 or -255294107?\nAnswer: -255294109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + p - 10 = 0. Suppose 4*v = -5*q + 52, -p*q + 1 = 3*v - 48. Solve -q*g + 12 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -17167 - -17172. Let x = -31 + 45. Calculate the remainder when x is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a - 3*a + 4*a)*(3*a - 4*a + 2*a) - a**2 + 6*a**2 - 3*a**2 - 2*a + a**2 + 7*a + 6*a.\nAnswer: 2*a**2 + 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 287171 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 - 6 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-16)\/(-2) + -10)\/6*-303. Solve 99 = -q + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 23, 5, -43, -121, -229?\n\"Answer: -15*y**2 + 27*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 5*r = -49, -5*b + 4*r - 184 + 276 = 0. Let u(p) = p**3 - 8*p**2 - 11*p + 3. What is the remainder when u(10) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 276361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d\/((d*d**(-3\/7))\/d)))**17*(d\/(d*d*d**3*d))\/(d\/(d\/(d*d**(1\/9)*d))) assuming d is positive.\nAnswer: d**(-907\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - 11 - -17 - (0 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 0 + 1\/6*d**2 - 1\/6*d**4 + 1\/6*d**3 - 1\/6*d = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2cc05 (base 13) in base 15?\nAnswer: 1a514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7326?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 + 88. Let p = t - 78. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 - 2*x + 4. Let t = -15 - -18. Suppose -24 = -t*y + 4*y + 5*a, 2*y + 12 = -a. Give g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/9, 1.2, 5.46, -2\/19, -0.25?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -2*u**3. Let z(q) = -69 - 144*q**2 + 43*q**2 - q**3 + 101*q**2 + 69. Let i(g) = 11*g**2 + g. Let t be i(1). Determine t*z(l) - 3*m(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000414 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rll when three letters picked without replacement from {l: 10, b: 1, r: 6}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of -y**8\/112 + y**7\/70 + 3*y**6\/40 - y**5\/4 + y**4\/4 - 10*y**2. Suppose h(z) = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 142.000087 + -142. What is v rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 + 5. Let i be p(-3). Let b be (-4)\/(-6)*(-18)\/i. What is the derivative of -3*f**3 + 2*f**b + 2 + 4*f**3 wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the second derivative of -g**3\/2 + 3*g**2\/2 + 45*g. Let u be q(0). Which is the third smallest value? (a) 0 (b) 1\/7 (c) u (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 369\/18 + (-6)\/((-36)\/(-15)). Suppose -8*d = -14 - w. Solve -5*u + r - 2 = d, -u = r + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-48)\/156 + (-19023)\/663?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -14 - -8 - -4 - (1 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 46 + 4755?\nAnswer: 5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/51 and -89\/2074.\nAnswer: 6222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 75\/1092040034 and 25\/22.\nAnswer: 12012440374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 20110020200 (base 3) to base 14.\nAnswer: 34414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-10\/7)\/b**(2\/9) assuming b is positive.\nAnswer: b**(-104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 277158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 8\/5*r + 6\/5 + 2\/5*r**2.\nAnswer: 2*(r + 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 85*v. Let p be c(-1). Let k = -55 - p. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 161\/(-49) + 30\/105.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*g = 96*g - 77 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-8)*(-124)\/93.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 68 and 87431.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 495 + -345. Let g(m) = m**3 - 6*m**2 + 14*m - 33. Calculate the remainder when j is divided by g(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 841 - 1. What is the closest to c in -0.1, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48114?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2040*b**4 + 112*b**3 + b**2 - 144962*b - 1 wrt b?\nAnswer: 24480*b**2 + 672*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16.4 - 16.512. Let f = i - -0.012. Which is smaller: 16 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((-4*((sqrt(84)*-3 - sqrt(84)) + sqrt(84)))\/(5*(sqrt(72)\/sqrt(6) + sqrt(12))) + 2))**2.\nAnswer: 24*sqrt(7)\/5 + 352\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and -512556?\nAnswer: 153766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1844 + 225?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -p**3\/6 + 5*p**2\/2 - 6*p. Let h be s(5). Find the first derivative of h*g**2 + 3*g**2 + 6 + g**2 - g**2 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (60 + -85 - -5) + (1 - -25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 576.9707 - -0.0293. Let o = y - 579.47. Let d = o + 2.4817. Round d to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*p**5 - p**4 + 25*p**2 + 125*p wrt p?\nAnswer: -40*p**3 - 12*p**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.0827748 or -3?\nAnswer: -0.0827748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 190608*c*t**2*u**2 - 9*t**2*u**2 + 1530*t*u**2 wrt c?\nAnswer: 190608*t**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -16045, 5 in descending order.\nAnswer: 7, 5, -16045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -145*c + 44. Let f(n) = 2*n + 9. What is -20*f(u) + 4*k(u)?\nAnswer: -620*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1208.81516 rounded to the nearest ten?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/1219164 and 32\/5385.\nAnswer: 6095820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 - 33 + 5*i**3 + 15*i**2 - 37 = 0 for i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -5*v - 6. Let c be i(-13). Suppose -5 = -4*b + c. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -69 + -10 + -10 + 71.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -2*i**3 + 15*i**2 - 10*i + 20. Let r be d(7). Let s(j) = 39*j**2 + 5*j + 4. Let t be s(r). Calculate the highest common divisor of 57 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 38*s - 1256. Determine i(32).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 83.8 (b) 28.1 (c) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 4*q - 1 = 0, 0 = 2*s + s + 3*q - 48. Suppose 0 = -s*c + 25*c - 4. Suppose -2*n = -n - 5. What is the greatest common factor of c and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 91*p**3*w**4 + 258*p**3*w**2 + 74*p**3 - 924*p*w**4 wrt w.\nAnswer: 2184*p**3*w - 22176*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((2*sqrt(85) - sqrt(85)) + sqrt(85)) + sqrt(85) + (sqrt(85) - 5*sqrt(85)*-1))\/(sqrt(20)*-6*-3).\nAnswer: sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -322 (b) 1\/5 (c) 0 (d) 11 (e) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 - 5. Suppose r*k = k. Let s be (-2)\/9 + (-25)\/9. Which is the smallest value? (a) s (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5\/2)\/((-1)\/2). Let i be (-9 - -7)\/(-5 - 3\/(-1)). What is the common denominator of (-36)\/d - 2\/(-4) - i and -53\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d**2 + 15 + 15 - 10*d**2 - 2*d**3 - 14 - 4*d = 0. What is d?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -9658a + 7aa?\nAnswer: -95890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 166032, -1, 1 in descending order.\nAnswer: 166032, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -36\/11 (b) 2\/9 (c) -38 (d) 2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -24*g**3*i**3 - 621*g**3*i + 2*g**2 - 5*g*i**3 - 45*i**3 + 15*i**2 wrt g?\nAnswer: -144*i**3 - 3726*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 158 and 117153682.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 5*t**2. Let s(j) = -4572099*j. What is s(k(y))?\nAnswer: -22860495*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the second derivative of q**7 - 55*q**4\/3 - 396*q. Find the third derivative of r(b) wrt b.\nAnswer: 2520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-14) + (-165)\/(-308).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 285\/(-30)*(-9)\/((-45)\/(-10)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 6*q**2 + q + 1. Let t(j) = 7*j + 15. Let a(l) = -10*l - 22. Let p(o) = 2*a(o) + 3*t(o). Calculate -f(u) + p(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3672.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4 or 83\/18?\nAnswer: 83\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(-1*sqrt(70)*-6 - sqrt(70))*4)\/((-1*sqrt(1440) - sqrt(1440)) + sqrt(1440) + (sqrt(70) + (sqrt(70)*2 - sqrt(70)))\/sqrt(7)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -219 = 12*h - 135 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 220 (base 6) to base 5\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 432 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -175 + 190. Solve 0 = -7*i + 2*i - z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2155 - 24320?\nAnswer: -22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xcpx when four letters picked without replacement from peeeepepxppxcexe?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 0 + (-8)\/(-28) + (-1248)\/(-336)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -5346*x - 58805. Determine b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 15*s - 3*s - 1 - 10*s. Let f(h) = -26*h + 11. Let a(g) = 9*g - 4. Let o(i) = 7*a(i) + 2*f(i). Give -6*o(z) + 34*y(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3) + sqrt(12))*-5)**2 + sqrt(15)\/sqrt(5) + -1.\nAnswer: sqrt(3) + 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2436711821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 7, z: 2, e: 5}. Give prob of sequence ezz.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (182*y**4 + 1 + 3*y - y**2 - 65*y**4 - 67*y**4)*(4*y + 0*y - 3*y).\nAnswer: 50*y**5 - y**3 + 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from delwzwlzdzezzdz. What is prob of picking 1 e, 1 z, and 1 d?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 0.07, 4, 17?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 - 6*m**2 - m - 120. Give u(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.5, 0.03, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a**3*j**4 + 15*a**3*j - 31*a*j - 103*j**5 - 10*j**4 + 2*j**2 wrt j.\nAnswer: 48*a**3*j - 6180*j**2 - 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6266131542 - 2?\nAnswer: -6266131544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 210 and 166\/(-1577) + (-3994)\/(-38)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 288 = -0*g + 6*g. Let z be g\/16*4\/3. Suppose 23 = 2*s - 5*k, z*s - 12 - 4 = 4*k. Is s != -12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 298778 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.64355 (b) 1\/3 (c) 1\/7 (d) 1\/8 (e) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -114*r**3 + 2 + 34*r**3 + 40*r**3 - 2 + 35*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the first derivative of -77*y**5 + 341*y - 375. What is the derivative of r(d) wrt d?\nAnswer: -1540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 167*x**3 + 246*x**3 + 2*x + x - 25*x**3 + 266*x**3.\nAnswer: 654*x**3 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add 0.265704 and -2839.\nAnswer: -2838.734296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 31 = -11. Is ((-2228)\/(-8) + z)\/(1\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19231 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 15387665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -2*k**2\/23 + 157336*k\/23 - 943944\/23 = 0.\nAnswer: 6, 78662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1539?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:00 PM and 7:14 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 95 = -2*m. Let b = m - 17. Solve 0 = -b*w + 6 - 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 123*a**2 - a + 1. Is k(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1195*w**4 + w**2 - 168*w wrt w?\nAnswer: 28680*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 4\/9 (c) -890371\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -37.14 + -0.86. Let b = 38.88 + r. What is b rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1227764 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18935*x**3 - 53360*x**3 - 3349*x**3.\nAnswer: -75644*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -266 divided by -7\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (1\/7)\/(1992\/(-46480))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 5*r - 2 + 3 = 0, -2*m + 5*r - 22 = 0. Let d(l) = l + 22. Let a be d(m). Calculate the least common multiple of 6 and 1 - (a - 6*6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.9 + -0.3. Let m = y - 0.5. Which is greater: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -148*o**2 + 12*o - 11. Let c(p) = -50*p**2 + 4*p - 4. Let h(u) = -10*c(u) + 3*j(u). Suppose -4*y = -9 - 7. Is h(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 44*l - 227. Suppose -12*d - 420 = -72*d. Let p be i(d). Calculate the greatest common divisor of 108 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 34.7099*11\nAnswer: 381.8089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2972821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -4*m**4 - 23*m**3 - 44*m**2 - 15*m. Let i(a) = 2*a**4 + 11*a**3 + 22*a**2 + 7*a. Let y(k) = -5*i(k) - 3*l(k). Suppose y(w) = 0. Calculate w.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.81 * 2.4.\nAnswer: -4.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-485)\/(-20) + 2\/(-8). Suppose 2*s - i = -0*s. What is the least common multiple of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 - -6. What is the third derivative of -u**2 + 2*u**l - 2*u**6 + 5*u**6 - 3*u**6 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:04 AM and 4:56 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6108626 rounded to the nearest 1000?\nAnswer: 6109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.12 + -5. Let f = -0.1199866 + m. Round f to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * 6786559.\nAnswer: 13573118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.3 - 0.7. Let d = 17 + -67\/4. Which is the closest to d? (a) w (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-46)\/(-10) + (-4)\/(-10). Let d be (-55)\/(-33) + 1 + (-4)\/(-3). What is the second derivative of t**n - 4*t**4 + 4*t + d*t**4 + 4*t**5 wrt t?\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 2*a - a + 4*k, 5*a = 5*k + 25. Suppose -v - 2 = -3*h - a*h, -4*v - 98 = -2*h. Let z = v + 28. Solve f = -3*j + z, 3*j + 1 = -4*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*f - 13 + 15 + 0 + 19*f**2 - 2 as l*f**2 + w*f + c and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 782716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -k**4 - 30*k**3 - 1125*k**2 - 3*k + 1412567 wrt k?\nAnswer: -4*k**3 - 90*k**2 - 2250*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g*z**2 - 16*g*z - 11*z**2 - 3*z + 2 wrt z?\nAnswer: -2*g - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 43331644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6634 + -3912. Suppose 0 = -2*v + n + 4*n + t, 2*n + 4083 = 3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -21*i + 7*i + 21 + 4*i wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 2*v - 5 = -3*j, 0 = 2*v. Solve 2*s + 2 = 3*s, -j*s = u - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fofvv. What is prob of sequence fo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 5:46 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 371338.6 millennia in months?\nAnswer: 4456063200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of p**3*x - 139*p**3 - 104*p*x**2 wrt x?\nAnswer: p**3 - 208*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, -136, -353, -668, -1081, -1592, -2201?\nAnswer: -2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46264 is divided by 493?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 17427.5019 to the nearest 10.\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -149, -156, -165, -176?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1387.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (7*(-12)\/84)\/((21\/7)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 39*r**2 + 3721*r - 43995. What is m(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -77\/2610 and (-143)\/78*(-1 - (-78)\/45).\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 12 = 0, y + k - 52 = -22. Suppose -22 - y = -4*c. What is the remainder when ((-3)\/6)\/(20\/(-1800)) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-25)*v*v)\/v**(-11\/6) assuming v is positive.\nAnswer: v**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 6 = -k + 2*a, -3 = 4*k + a. Let t be ((-6)\/3)\/(k\/18). Suppose 2*g - 76 + t = 0. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-5 - 1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4992 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnzznnnnnn. Give prob of sequence nznz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -91*a**2 + 36354 + 12*a**4 - 35407 + 0*a**4 wrt a?\nAnswer: 48*a**3 - 182*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 55 and 161189435.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 199763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:52 PM and 11:08 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = d - 3*c + 202, 4*d - c = -783. Let h = d - -277. Suppose h = 4*b + 28. Solve -3*m = s + 11, 6*m + s + b = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.37, 54, -2551?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -4. Let q(y) = -6*y**2 - 4*y + 0 + 5*y**2 + 2. Let x be q(-4). Which is the third smallest value? (a) x (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q + 9*q - 2*q + 4)*(-1 + 4 + 11)*(0*q - 6*q - 7*q).\nAnswer: -364*q**2 - 728*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 37 = -23*o + 152 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand o - 5*o**5 - o + (-38*o - 24*o + 40*o)*(o**4 + o**4 + 2*o**4).\nAnswer: -93*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 975 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/48*(-1638)\/210?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 259, 258, 257, 256, 255?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {k: 2, a: 5, h: 1, g: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 309703 - 309703 - 7*i - 9*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -425 (base 7) to base 14\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 11*m**2 - 3. Let n(v) = -104 + 219 - 6*v**2 - 114. Calculate -2*h(z) - 5*n(z).\nAnswer: 8*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = p + 2*t, 4*t = -589*p + 591*p - 44 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 18 - ((-54 - -28) + 31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - v - 15 = 0. Let a = 93 - 49. What is the remainder when a is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/156 - 2\/(-4 + 10)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -66.83937749 to one dp.\nAnswer: -66.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 3 = 3*y, y + 3*g = -0*y - 3. Solve 0*v - 2*v - y*q = 10, q = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -235, -35, 197, 467, 781, 1145, 1565, 2047?\n\"Answer: b**3 + 10*b**2 + 163*b - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 4*f + 49. Determine r(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from evtvvvtttttet. What is prob of picking 1 v, 1 e, and 2 t?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -595.3 - -595.3. Let y = 0.239 + 304.761. Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 - 2*d**2 + 4*d + 2. Let h be 144\/10 + ((-12)\/10)\/3. Suppose 69 - 69 = -u. Suppose -2*v + h = 2*y - 4*y, u = -2*y - 5*v + 14. Determine m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 - 6*b - 1. Let q = -139 - -140. Calculate the least common multiple of q and d(-8).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2592 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -18 + 25. Suppose s + a = -5. Let j = s - -15. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 + -1. Let p = 76 + -93. Let r = -7 - p. Which is the biggest value? (a) 2\/9 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -56475411, -56475399, -56475385, -56475369, -56475351?\n\"Answer: z**2 + 9*z - 56475421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -66400 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 + 2)*(-6 + h + 6) - 2*h - 4*h + 4*h - 2*h + 4*h - h - 4*h - 214 + 214 + 4*h - 4*h + 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3 and 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -72 = 417*u - 405*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 8492058 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2522)\/9 - 32\/(-144). Let p = -176 - g. Suppose 0 = -3*o + o + p. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -2*q**2 + 7*q + 2. Let c(h) = h**2 + 1. Let j(d) = -c(d) - v(d). Let a(r) = 2*r + 43. Let w be a(-17). What are the prime factors of j(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -550749 * -135.6\nAnswer: 74681564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - u + 3. Let c be (-5 - -1 - -2) + -2. Let x be s(c). Suppose -5*k = q - 22, 3*q - 27 = k + x. What is the greatest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 7*u - 5*j - 8, 16 = -2*u - j. Let t(n) = n**2 + 3*n - 8. What is t(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -62812485.\nAnswer: -62812486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1*(-3 - 1) + 100832\/(-3376) + 26. Is j at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-6))**(-3\/31)\/(v**4\/v**15) assuming v is positive.\nAnswer: v**(359\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = -3*n + 6. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 552 and 8211.\nAnswer: 65688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooooooooooosooooooo. What is prob of sequence oo?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 316130778 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1482 minus 1660?\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddaadhyaddyhadyyyy. Give prob of sequence ad.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -18 (base 11) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 + 713*m**2 - 6064*m + 313329. Calculate p(-722).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 26329 times 0.16189\nAnswer: 4262.40181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6635017 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-2*(sqrt(102)*1 - sqrt(102)) - sqrt(102)))\/(sqrt(42)\/(sqrt(112)\/sqrt(4))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9 - -6. Let j be (t + 3)\/(1*-1). Solve j*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wrrrrrrrwrwwrrrrrrrr. Give prob of picking 1 w and 2 r.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 435 divided by -145\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (2 - -2) + -9 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -103301303022 (base 4) in base 12?\nAnswer: -18a04b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p**15*p)\/p)\/p)\/p**(-12))**(13\/6) assuming p is positive.\nAnswer: p**(169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 22.5536238 nanoseconds?\nAnswer: 0.0000000000002610373125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-1 - 7)) + -34 + 28 + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-52)\/312*10\/2\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 17ae - -19?\nAnswer: 17c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 174021.2 * 1\nAnswer: 174021.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1685 - 1685.1. What is the nearest to q in 8, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 124 and 12652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -0*x. Let a(k) = k - 4. Let b be a(6). Let v be (-1)\/b - (-90)\/140. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14905 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3951169106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 37695847, 37695850, 37695853, 37695856, 37695859?\nAnswer: 37695862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -495169, -990372, -1485575?\nAnswer: -1980778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7.85 + -0.15. Let g = 12 - f. Let l = -24 + g. Which is the third biggest value? (a) 2\/5 (b) 4 (c) l (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s + 6. Let y be n(7). Let a(u) = -15*u**2 - 1. Let o be a(y). Let p be (-252)\/o + (-2)\/(-8). Calculate the greatest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**2 - 22*m + 14. Let o be z(22). Which is smaller: 13 or o?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnmmuuuun. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 divided by -251.\nAnswer: -29\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 580079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/1470 and -167\/131070.\nAnswer: 6422430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 667 is divided by 86?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m**2 - m**2 + 6*m**2 + (-m + 2*m**2 + m)*(6 - 1 - 4)*(3 - 6 + 2) in the form r + o*m**2 + p*m and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ptt when three letters picked without replacement from tstptsmstsw.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d. Let p(g) = -5*g - 7. Let n(u) = 2*u + 3. Let s(l) = -7*n(l) - 3*p(l). Give k(s(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 + (0 - 1))\/((-22)\/(-220))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + 13)\/((-3)\/(-2)). Let a(l) = l + 1. Calculate the remainder when 35 is divided by a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-7)\/4 - (36\/16 - 2). Let m be 65\/25 + 0 + p. What is the nearest to -0.1 in m, -2, -7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -232 (base 7) in base 16?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*4*(sqrt(300) + 1)**2 + 5.\nAnswer: -6015 - 400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m + 3. Let d(s) = -2*s - 6. Let u(x) = -14*b(x) - 6*d(x). Let z(f) be the first derivative of -f**2\/2 + f - 2. Let h be z(6). Determine u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrmffisfsfrrmiirrrri. Give prob of picking 2 s, 1 m, and 1 r.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 205913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r**2\/2 - 1368805*r - 374725425605\/2 = 0. Calculate r.\nAnswer: -273761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -8310 + 4*k + 8062 - 3*k as n*k + y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*w**2 + 0*w**2 + 247*w**3 + 257*w**3 - 445*w**3 to the form r*w**2 + h + u*w + t*w**3 and give t.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:42 PM and 8:09 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -33.083 - 0.01?\nAnswer: -33.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (255\/6)\/(-1*(-4)\/8). Let z = -82 + t. Suppose 0 = -2*a + 27 + 15. What is the greatest common factor of z and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 140757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 12*m**3 + 4*m**2 - 13*m**3 + 3*m**4 - m - 3*m**2 to u + d*m**2 + k*m**3 + r*m + i*m**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -5*b**3 - 3*b**2 - b + 1. Let s be j(-3). Is (-3)\/4*s\/(-42) + 92 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, p: 3, s: 3, c: 1, x: 2, r: 1}. What is prob of sequence frx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 506*o - 255*o - 255*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -306234489 by -182391.\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 190 + -122. Suppose 2*a - 38 = -2*p, 4*p = a + a - z. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 21 - 25. Suppose 0 = -2*k - c, -4*k = 2*b + 29 - 207. Calculate the common denominator of -133\/6 and b\/14*((-1)\/2)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3281 - 3241. What is the least common multiple of h and 900?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -698 = -5*r + 1322. List the prime factors of r.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 726 is divided by 117?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-3*sqrt(153)*-2 + -6*(-2*sqrt(153) - sqrt(153)) - (2 + (-2 + -2 + 0 + sqrt(153))**2)).\nAnswer: -175 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 7 = 1. Let n be -2 - 6\/(-15)*y. Put -0.2, -1, n in ascending order.\nAnswer: -1, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1115*v - 94335 + 2937 - 20102 for v.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 + 8*x**2 - 11*x + 12. Let h be m(-9). Let z = h - 9. What is the remainder when 103 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-24*v**4 + 59*v**4 + 38*v**4)*(1 + 1 - 1)*(-2 - 2 + 3).\nAnswer: -73*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 37 - 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*u**2*v + 5*u*v*x + 3*u*x - 89*v*x + 2*x wrt u.\nAnswer: 6*u*v + 5*v*x + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 219 and 15?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**2 + 0*o**2 + 5*o**2)*(-o**2 - 3*o + 3*o) + (-3 + 5 - 1)*((-13*o + 25*o + 11*o)*(-19*o**3 + 38*o**3 + 21*o**3) + 0 + 2*o**4 + 0).\nAnswer: 918*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1721, -1550, -1383, -1220?\n\"Answer: -2*b**2 + 177*b - 1896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-930)\/(-45))\/((-40)\/(-81300))?\nAnswer: 5, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 + 12. Suppose -9*c + t*c + 1034090 = 0. Let o = c + -9617045. Round o to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -245560910 rounded to the nearest 1000000?\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 86705?\nAnswer: 5, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 608511, 1216939, 1825371, 2433807, 3042247, 3650691?\nAnswer: 4259139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17 + -8. What is the smallest common multiple of d and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*k + 172 = 127 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 76 = 5*q, -3*m - 14 = q - 4. Which is greater: q or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 37*s**3 - 3*s**2 + 2. What is q(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/7 of a week in minutes?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1\/18 - 41\/252. Let o = d - 1\/7. Let l = -8 + 10. What is the closest to o in 0.1, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 398\/11 + -36. Put 2\/3, h, -1\/3 in descending order.\nAnswer: 2\/3, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8071 + -6669. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 231744 and 6732?\nAnswer: 7647552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -9*g**2*v*y**3 + 12*g**2*v - g**2 - 3*v*y**3 - 206*v*y**2 + 3*v*y wrt g.\nAnswer: -18*g*v*y**3 + 24*g*v - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -29*d**2. Let z(y) be the first derivative of -y**4\/6 + 5*y + 10. Let l(v) be the first derivative of z(v). Calculate l(s(q)).\nAnswer: -1682*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 + -3 + 11\/4)*4. Let o = 1 - -3. Suppose -13 = -3*m - r, 0 = m - 2*r + 5. Solve -4*t + 7*t = m*l, -3*t + z = o*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00056626011 rounded to seven dps?\nAnswer: -0.0005663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**3 - 10*z**2 - 11*z + 3. Suppose 6 + 4 = 5*n. Suppose -s + 24 = n*s. What is the smallest common multiple of v(11) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 103 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/7588 and -65\/13412?\nAnswer: 3634652","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Express 29*z - 28*z - 20*z in the form f + l*z and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -4*i - 4*x, -4*i + 7 + 39 = 2*x. Solve -9*g + 4*l + i = -5*g, -2*l = 3*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -22*h**4 + 54*h**4 - 2*h**3 - 42 - h + 2*h + 7*h**2 - 16*h**4 + 31 as n + a*h**3 + o*h + f*h**2 + p*h**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2900734499 to the power of 1\/2, to the nearest integer?\nAnswer: 53858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 14 = -f. Suppose -c - f = -3*h, 4*c = 5*c + 3*h + 1. Let q be (-16)\/(-10) + c\/(-10). Solve q = w - 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 546 divided by -14?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 344460299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xmvxvxvvmvm. Give prob of picking 3 v and 1 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 7 - 1 = 0. Let i be n\/6*(-225)\/(-3). Which is smaller: 24 or i?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -346 - -374. Which is greater: 23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 394221.6917 to the nearest one hundred.\nAnswer: 394200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -53526530 * 0.5.\nAnswer: -26763265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 612900.1mg in kilograms?\nAnswer: 0.6129001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -1803 by 2.\nAnswer: -1803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 + 12)*10\/20. Suppose -v + 4*h = -h - p, 2*h + 35 = 5*v. Calculate the lowest common multiple of 10 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-1530)\/289)\/(-45))\/(-2)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -2*p**2 + p - 1. Suppose 13*r + 405 - 2771 = 0. Let m = r + -180. Give d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - -10 - 1 - (-15 + 14) - -3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11424 and 4641?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 546.1, -4\/113?\nAnswer: -4\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6\/41 - -52\/205. Let y be 6\/(-30) - 7\/15. What is the third smallest value in y, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-81)\/(((-6)\/28)\/((-10)\/(1540\/33))).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3523*93.\nAnswer: -327639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -222 (base 4) to base 3.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(5\/8)*k)\/(k\/(k\/k**(4\/7))))\/(k**9\/k**(2\/7)) assuming k is positive.\nAnswer: k**(-429\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 573964.3l in millilitres?\nAnswer: 573964300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2765301?\nAnswer: 3, 7, 11, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 214 = 107*i + 1054 + 441 + 3 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 68.077 or 33\/19?\nAnswer: 33\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 146 + 502 = 3*o. Let d = o - 2806\/13. Suppose -4 = q - 6. Which is the nearest to -3? (a) q (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/326424 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2*6\/(-4) - -3. Suppose -t = 7 - o. Which is bigger: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**2 + 140*d - 144.\nAnswer: 4*(d - 1)*(d + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 5*p + 14. What is the third derivative of -24*f**2 - p*f**2 - 13*f**4 - 13*f**4 wrt f?\nAnswer: -624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -500 by -125.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 90058 > 90058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**0*t*t*t*t**34\/t*t)\/(t\/t**(2\/9)*t**(-18)) assuming t is positive.\nAnswer: t**(488\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the first derivative of n**7\/280 + 3*n**6\/40 + 3*n**5\/5 + 5*n**4\/2 - n**3\/3 + 45*n + 52. Let l(f) be the third derivative of s(f). Factor l(m).\nAnswer: 3*(m + 2)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5092.9 - 5093. What is the closest to 8 in n, 3, -1\/6, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 20 = 10. What is the closest to c in -1\/5, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -26 by -6.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**2 + 364*q + 360.\nAnswer: 4*(q + 1)*(q + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b\/b**(-21))\/b)\/b)**(1\/34))**(-22) assuming b is positive.\nAnswer: b**(-220\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together 1198442 and 94.\nAnswer: 1198536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 - 5. What is the third derivative of 3*m**4 - a*m**2 + 8*m**2 - m**2 + m**4 wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (57 - 11) + (-1 - -1) + -3 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -45*l - 1. Let q(k) = -k**3 + k. Let c be q(0). Let z be (c - 0) + -2 - -1. Let m be x(z). What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 105389318\/75 or 1405192?\nAnswer: 1405192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 2200.814 micrometers to centimeters.\nAnswer: 0.2200814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 2*b**2 + 48*b**3 - 100*b**3 + 6 + 51*b**3 + 8*b. Let j be p(4). What is the highest common divisor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -5 - (-8 - (0 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 + -7. Suppose -p - n*p + 40 = 0. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -2*f + 5*c, 3*f + 37 = -5*c + 9*c. Let u = f + 28. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 2180, 4451, 6936, 9743, 12980, 16755, 21176?\n\"Answer: 18*w**3 - w**2 + 2148*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is 930823546 to the power of 1\/2, to the nearest integer?\nAnswer: 30509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*b**3*p**4 - 2*b**3*p**2 + 223*b**3*p - 27*p**4 wrt p?\nAnswer: -360*b**3*p - 648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, i: 11, g: 1}. What is prob of picking 1 i and 1 g?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 3*y**3 - 18*y**2 - 5*y + 28. Determine j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1453\/4361 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 - 106*w + 1517. Let y be c(17). Solve -y = 6*g - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 6*b + 6. Determine k(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101010 + -100101000010110101?\nAnswer: -100101000100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 16638097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 20131341 (base 6) in base 9?\nAnswer: 1061427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17 - -3458. Does 39 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 4:15 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 86505316873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 82363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -34 + (-1596)\/665*10\/(-2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15 - 24. Let d be 30\/i*(4 - 1). Let s be d\/(3\/(2 - 26)). Calculate the greatest common divisor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes before 1:14 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 11:04 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the first derivative of 3*p**8\/56 + p**4\/6 + 2*p + 2. Let i(z) be the first derivative of x(z). What is the third derivative of i(c) wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:18 PM and 3:03 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-8\/7)*n**(1\/15) assuming n is positive.\nAnswer: n**(-113\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -8829064 (base 11) in base 8?\nAnswer: -73105623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 PM and 8:05 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 54 = 4*j. Let y be ((-3)\/j)\/(1\/4). What is the smallest value in -0.4, y, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40 + -26. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 10895 = 5*y, 0 = -4*x + 32*y - 29*y + 8716. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37234.\nAnswer: 2, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27 and 59805?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 121 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -57207 (base 9) to base 15\nAnswer: -b437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*z = -145 - 58 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 4*m**2 + 2*m - 1. Let q be 4 - (-2 + (-15)\/(-6))*0. Calculate the remainder when y(q) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the second derivative of 8\/9*w**2 + 9*w - 8 - 1\/6*w**4 - 34\/27*w**3. Suppose q(p) = 0. What is p?\nAnswer: -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from dsydydssiy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 76*h - 27. Let z(s) = 151*s - 49. Give 9*u(w) - 5*z(w).\nAnswer: -71*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.0775 (b) -0.3 (c) -1\/646 (d) -0.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -16 divided by -15260\nAnswer: 4\/3815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1040*n**6 + 190*n**5 + 56*n**2 + 3590.\nAnswer: -124800*n**3 + 11400*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 19*m + 16*m + 500. Sort 13, m, 3 in decreasing order.\nAnswer: m, 13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*c**2\/7 + 1290*c\/7 - 138672\/7 = 0. What is c?\nAnswer: 214, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 21897, 22713, 23527, 24339?\n\"Answer: -v**2 + 819*v + 21079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 53, -39, -191, -403, -675, -1007?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = c - w, 0 = -c + 5*w + 36 - 8. Suppose c*a + 2*v + 3 = 0, -4*a - 3*v = -a. Let p be a + (2 - -1) + -20. What is p rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 5 = 1. Let a(b) = b - 1. Let p(t) = -5*t + 5. Let g(c) = 14*c - 14. Let y(w) = -4*g(w) - 11*p(w). Let i(s) = 4*a(s) + 5*y(s). Give i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59182603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -7498.6184 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -304\/1519 - 18642683\/30380. Let i be ((-60)\/9)\/(2\/(-183)). Let o = x + i. Find the common denominator of o and 29\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1898*y**3\/5 + 707952*y**2\/5 + 11813898*y\/5 + 12448\/5 = 0 for y.\nAnswer: -16, -1\/949, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 383526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -8674*w + 110 = -8696*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -38086, -304213, -1026424, -2432761, -4751266?\nAnswer: -8209981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -7020, -13833, -20622, -27375, -34080, -40725?\n\"Answer: 2*y**3 - 6827*y - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of -77*a**6\/15 + 3*a**5\/4 - 5*a**4\/12 - 39*a**3\/2 + a**2 + 28*a + 14. What is the third derivative of p(b) wrt b?\nAnswer: -3696*b + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*s + s - 3*s**2 - s + 2*s in the form a*s**2 + b + h*s and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -132481, -132310, -132139, -131968?\nAnswer: -131797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 232, -2, -5756.\nAnswer: -5756, -2, 11, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 PM and 11:52 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 597*d**2. Let x(q) = -q. Give x(r(o)).\nAnswer: -597*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -62 + 132. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4816*f + 2818*f - 81918 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -39 - -30. Let s be 618\/r*(-2 - 10\/4). Find the second derivative of -s + 309 + 12*u + 21*u**2 wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ots when three letters picked without replacement from {o: 3, s: 1, t: 1, p: 1, h: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of 0*n**3 + 0*n**4 + n**2 - 1\/90*n**5 + 0*n - 57 - 1\/540*n**6. Factor c(g).\nAnswer: -2*g**2*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 472 divided by -59.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 377 - 612. Find the common denominator of (y\/30)\/(2\/1) and ((-6)\/(-15))\/(8\/114).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 0.215. Let r = 0.085 + c. Let s be (0 - -1)*2\/(-12). What is the second biggest value in r, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -113 + 5698*k**2 + 1054 - 2852*k**2 - 2838*k**2 to the form b*k**2 + w + c*k and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (-76 + 10 - -36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 2*a - 16, 3*c - a + 14 = 3*a. Suppose -2*h = -2 - c. Solve -12*w**2 - 7*w**2 - 13*w**2 + 35*w**h - 3*w**4 = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3835?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0 + 2 - (4 - -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3132*o**6 + o**4 + 5*o**3 - 92*o**2 + 69*o wrt o?\nAnswer: 375840*o**3 + 24*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - -21) + 13 + (-17 - -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4\/(-3))\/((-3 + 0)\/25632). List the prime factors of ((-2)\/(-7) - 0) + g\/14.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 58\/1639443 and -35\/3.\nAnswer: 1639443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -12604822.4 rounded to the nearest 100000?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/98*(-35)\/40)\/((-98)\/28)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 131 divide 255468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 90239 is divided by 45101.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.8 or -354824?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -1888*a**2 + 12*a + 6. Let d(q) = -2*q**2. Calculate j(d(k)).\nAnswer: -7552*k**4 - 24*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.83 - 1.17. Let f be (-2)\/7 + 40\/(-105). Which is the second biggest value? (a) g (b) f (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144478951 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 306\/(-17)*1\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 1193 divide 715726034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 138, 18\/13, 29366?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 93212*j**3*v**3 + 5*j + 4136*v**3 wrt j?\nAnswer: 559272*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/606 and 85\/28508.\nAnswer: 8637924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1842.52 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -195\/58? (a) -0.05 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*j - 26 = -4*h + 27*j, -h + 4*h - 5*j - 162 = 21*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 614891*y**5 + 59023*y - 3 wrt y.\nAnswer: 12297820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 25977*7\/21 + -8. Suppose 4*m - 3*h - f = -2205, -5*h = 3*m - 4849. List the prime factors of m.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 623*k + 46040. Determine u(-74).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1710317, -3420586, -5130855, -6841124?\n\"Answer: -1710269*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*w - 7658 = -7240 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3476994*y**4 - 41532*y**2 - 12*y wrt y.\nAnswer: -83447856*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5637 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is ((-299706)\/(-44) + 11)\/(1\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19 - 9. Let a = g + -2. Calculate the remainder when ((-23)\/3)\/((-2)\/6) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1306718 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 476, -5, 4, 43, 3, -3 in descending order.\nAnswer: 476, 43, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 335*b + 356*b + 204*b**3 + 231*b**3 - 691*b.\nAnswer: 435*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.5 + 3. Suppose -24 = -3*r - 5*i, -r + 5*i = r - 16. Suppose 3*s + 1 + r = 0. Which is the biggest value? (a) s (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = 2*n - 4*n + 5619, 2*n = 5*q - 28119. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/135480 and -161\/372570?\nAnswer: 1490280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -7888.639 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/(-2))\/(3 - 0). Let o be 40\/28 + 0 - (4 - 2). Let m = 184 + -187. Which is the nearest to g? (a) m (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l - 1 + 1)*(-1 + 42*l + 0 - 52*l).\nAnswer: 10*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 8667*h**3 - 5*h**2 + 25*h. Let f(z) = -120185289*z**3 + 69336*z**2 - 346680*z. Determine 5*f(q) + 69336*w(q).\nAnswer: 8667*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10548153 and 975.\nAnswer: 3428149725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -2145.67925 rounded to the nearest 10?\nAnswer: -2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = -5*s + 114. Solve 6*o + s = 4*y + 2*o, -5*y + 28 = 3*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m - 992765*m**3 + 992798*m**3 + m.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7510 - 3546 + 7*i + 31*i - 3964.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4 - -2)*2\/(-4). Let t be (170\/66 + w)\/((-2)\/3). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 - 2*t + 66. Let i be x(7). Let o(l) = -3 + 4*l + 17*l**2 + l**i - 21*l**2 - 7*l. Determine o(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*q**2 - 3*q**2 - 2*q**3 - 3*q**2 + (6*q**2 - 4*q**2 + 0*q**2)*(0*q - q - q).\nAnswer: -6*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 20.9 times 0.4?\nAnswer: 8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*s + 2150 + 790. What is the greatest common divisor of 49 and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-1))**12\/(c**(4\/5)*c\/c**(-6)))**(-11\/8) assuming c is positive.\nAnswer: c**(1089\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 3276087 by 1092029.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -398771 - 519144 + 95115 = -176*o. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 2*o**2\/9 + 26788148*o + 807305482428642 = 0 for o.\nAnswer: -60273333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 4*g - 0*g. List the prime factors of g\/(-2) - (-5)\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 4. Let v be 148\/28 - c\/14. Suppose -i = v*k - 173, 0 = k + 5*i - 20 - 5. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(6*(1*sqrt(153) + sqrt(153)) - ((sqrt(153) + 1*sqrt(153))*3 - sqrt(153)))\/(sqrt(63)\/(sqrt(3136)\/sqrt(7) + sqrt(7) - sqrt(7)))*-3.\nAnswer: 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + -1130?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4007 and 36063?\nAnswer: 36063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 99\/4 of a meter?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10974 + 10974 - 17*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**3 + 11*d**2 + 8*d - 20. What is q(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 83 = i, 6*p - 11*p - i + 139 = 0. Calculate the remainder when 95 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 - 6*o**2 + 7*o + 1. Let c be k(-7). Let h be c + 6\/9*3. Suppose -6*j = -h*j - 33. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 580.0372 nanograms?\nAnswer: 0.0000000000005800372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -12033651 (base 8) in base 10?\nAnswer: -2635689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -2*b**2 + 4*b. Suppose -1147 - 245 = 8*r. Let f = r - -177. Calculate i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -536 = -3*k - 167. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2802, -5561, -8344, -11151, -13982, -16837, -19716?\nAnswer: -22619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 40\/243 and 4\/(-6)*3 + (-1178)\/(-912)?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 21\/4, 3, 32, 17, 3\/2, 0.3?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 4 - 32 = 0. Let a(d) = 6 - x - 2*d + d. Let j(f) = 10*f + 3. Let r(s) = 6*a(s) + j(s). Give r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1 - 1)*(-36)\/(-144). Let x = 4 - 8. Which is the nearest to 4? (a) 1\/5 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 647 and 130370.\nAnswer: 131017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1169 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -149*a*f**3 - 26202684*a - 9517*f**4 wrt f.\nAnswer: -447*a*f**2 - 38068*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate n**3*t**2*z - 5*n**3*t - 326*n**3 + 72291*n**2*t**2*z + 11*n**2*t**2 + n - 7 with respect to z.\nAnswer: n**3*t**2 + 72291*n**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 - 7. Suppose f*x = 14 - 2. Let b(s) = -3*s**2 + 310*s - 100. Let k be b(103). Solve 5*i - 31 = k*d - d, 0 = -x*i + d + 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -2*r + 3. Let k be r\/(-3) - (-40)\/12. Let u(h) = h**2 - 2*h**2 - 4*h - h**2 + k - 8. What is u(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = -3*l - 5*h, 0 = 3*h + 12. Let i(d) = 47*d - 7 - 26*d - 22*d. Let j be i(l). Calculate the greatest common divisor of j and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 - 2)*(3*a**3 + 9*a - 9*a)*(6*a - 3*a - a).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-240)\/(2520\/84))\/(12\/14)*72\/14.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(68)*3 - 1*sqrt(612)*5.\nAnswer: -24*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -663, -2929, 0.07, -3 in ascending order.\nAnswer: -2929, -663, -3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is w in 3*w**2 + 651*w + 9648 = 0?\nAnswer: -201, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000616463951 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*c**3 - 4*c**3 - c**3 + (3*c - 3*c - c**2)*(0*c - 4*c + 2*c) + 9*c**3 - 1 + 65*c**3 - 26*c**3.\nAnswer: 48*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -22*i**2. Let r(t) = -10 - 17 + 50 - 5*t - 25 - 4. Calculate r(h(b)).\nAnswer: 110*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.102 (b) 5 (c) 0.1 (d) -2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of -v**5\/60 - v**4\/4 - v**3\/3 + 5*v**2\/2 + 6. Let m(g) be the second derivative of a(g). Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v - 2. Let x be t(-10). Suppose -x + 60 = 5*b + 2*p, -2*p = -4*b + 38. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -238*t - 320. Let m be d(-6). Which is smaller: m or 1109?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -176 in 69\/4, -5, 0.2, 1\/3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 AM and 10:21 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**5\/o**(-6))**(-47) assuming o is positive.\nAnswer: o**(-517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12897 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 202820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -2*d**5\/7 + 678*d**4\/7 + 812*d**3 - 45788*d**2\/7 - 5682*d\/7 + 45110\/7 = 0. Calculate d.\nAnswer: -13, -1, 1, 5, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ikd when three letters picked without replacement from kqqieqskqdqiddskqqqd?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (140\/(-308))\/((-255)\/(-153)) - 23\/(-165)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -13, -11, 7, 47, 115, 217?\n\"Answer: a**3 + 2*a**2 - 11*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 3538*u + 180346. Give s(-51).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 2*b. Solve -4*s - 5*d + 25 = b, 7*d - 2*d - 25 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1635 and -15.64?\nAnswer: 25571.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 161702771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -106, -210, -314?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -34\/1659 and -56\/27?\nAnswer: 14931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 357, 0.4, 1, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3406 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 79 = 299. Let y = t - 33. Solve -8*w + 6 = -y*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2367\/8 - 83213\/280. What is the common denominator of r and 4\/21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53878?\nAnswer: 2, 11, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 19770.0975 to the nearest integer.\nAnswer: 19770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 220 by 110.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 10 = c. Let n = 3 + -2. Let i = n + 2. Calculate the remainder when i is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 31 - q**2 + 14*q + 36 - 67 wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*i + 106*i - 840 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*a - 481*a**2 - 483*a**2 + 1450*a**2 - 477*a**2 to the form z + i*a + o*a**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 33.5 + -34. Which is the third biggest value? (a) 1\/3 (b) w (c) 3 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pttt when four letters picked without replacement from pttpptpppt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 491201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) 0.254 (c) -1239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 127*v + 2929 = 11438. What is the remainder when v is divided by 50?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 4, i: 2, w: 1, g: 1, a: 2}. What is prob of picking 1 i, 1 g, and 1 w?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 40 + 2*s**2 + s - 42 - 3*s**2 + 0*s**2 in the form r*s**2 + h*s + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -39837*h**2. Let b(m) = 2*m**2. Give b(x(j)).\nAnswer: 3173973138*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/3 - (-44)\/(-12). Let x be (-2)\/n - (-30)\/(-12). Let m be x\/((-9)\/6 + 1). Solve m*o = 2*q - 8 - 8, 0 = -2*q - 2*o - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/((n*n\/(n*n\/n**(-2)))\/n))\/n)\/(n**(-5)\/n))\/((n*n**5)\/n**(1\/6)) assuming n is positive.\nAnswer: n**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -43, -84, -125, -166?\n\"Answer: -41*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**3 + 7*v**2 + 9*v - 7. Let j be b(8). Let x = 7 + 5. Suppose 5*q - 8 = x. Solve -q = -3*f - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 636152 (base 12) to base 3\nAnswer: 2221112211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 3584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 39472318 divided by 6\nAnswer: 19736159\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5 - (-50)\/100)\/((-18)\/8). Which is smaller: -328.2 or w?\nAnswer: -328.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -433*t**4*x**2 + 4*t**4 + t**3*x**2 - 81*t**2 - 9*t*x**2 + 3*t*x wrt t?\nAnswer: -10392*t*x**2 + 96*t + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -18175\/4 + 4544. Sort -2, -7, -4, x in descending order.\nAnswer: x, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 + 7*m**2 - 5*m + 2. Let v be c(6). Let r = 4 + v. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237606 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(98)*-2*4 + -3 + 2*sqrt(98))**2)*4*4.\nAnswer: 4032*sqrt(2) + 56608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z - 10215 + 10215 + 17*z**3 as w*z**2 + g + t*z + u*z**3 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 - o**2 + 7*o + 5. Let z be f(4). Let h = z + -78. Solve -12 = 2*t - 4*x, -t = h*x - 2 + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:52 AM and 1:56 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16 + 20. Suppose r + r = -p. Which is the third biggest value? (a) 0.5 (b) r (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-1*sqrt(136) - sqrt(136)) + sqrt(136) + (sqrt(136)*-1 + sqrt(136))*-5)\/(-2*-1*sqrt(72)*2).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 133 divide 41750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from {u: 3, g: 4, y: 1, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 172194 is divided by 205.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/504 - 4\/(-18). Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 4 + 9 + 2*d**2 - 4*d - 4*d - 3*d**2. Let p be n(-9). Sort 2, -3, p in decreasing order.\nAnswer: p, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffrrfggrr. Give prob of picking 1 r and 1 g.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b and 1 w when four letters picked without replacement from {w: 4, b: 4, n: 12}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -3*a - 5. Let t(n) = 2*n + 3. Let l(v) = -5*t(v) - 3*z(v). Let i(s) = 21*s**2. Determine l(i(p)).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 73508 or 73657?\nAnswer: 73657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3*((-8)\/(-12) + 2)*6. Let s be (1\/2)\/(94\/v + 2). Suppose -8*c = -116 - s. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12, -18, -18, -12, 0, 18?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 801113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11798381?\nAnswer: 7, 1685483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gcannce. Give prob of picking 1 n and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 36.35446g in milligrams?\nAnswer: 36354.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (6 - -1) + -3 - 10. Let x be 4\/k + (-15)\/(-9). Solve d - 17 = 3*w + 2*w, -x = d + w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lvvd when four letters picked without replacement from {v: 2, d: 2, s: 11, l: 4}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + h - 700, -5*m - 5*h - 850 = -0*m. Let j = 1763 - m. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, z: 1, x: 1, a: 9}. What is prob of sequence ozox?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 11610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + 4516?\nAnswer: 4515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3956 and 73616.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1424150640 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 18699 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - 12995 = -47*l - 16675 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 64209 and -0.052.\nAnswer: -3338.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(3\/10))\/(g**(-8\/9)*g) assuming g is positive.\nAnswer: g**(53\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 570\/(-950)*950\/(-48) - (-26)\/(-2)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 3*m**2 - 327*m + 951. What is c(106)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 2488605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25 + -15. Let v = 16 - 14. Suppose 0 = v*h - 7 - 213. What is the highest common divisor of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 5*c + 388 - 1208, 4*c = 3*d - 1230. Let v = -266 + d. Calculate the lowest common multiple of 9 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2236948?\nAnswer: 2, 7, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 0*z = z - 11, z + 4 = 0. Let n = v - 1. Suppose -21 = -n*w + w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, h: 3, s: 3}. Give prob of picking 1 h and 1 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 + -71?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3835?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -2*f - 8. Suppose -5*r + 2*u = -u - 12, 20 = -5*r - 5*u. Put f, r, 1 in increasing order.\nAnswer: r, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2 - 2 + 3)*(3*g - 6*g + 2*g) - 3*g - 216 + 216 + 0 + g - 2*g + 1)*(6 + 2*g + 0 - 11) to the form p + f*g + d*g**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*x = -2*p - 22, -5*p + 584*x - 391 = 586*x - 285 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of -9*m - 1\/2*m**3 + 0*m**2 + 0. Let c(j) = -12*j - 32. Let g(l) = l + 3. Let a(f) = 3*c(f) + 32*g(f). Determine a(p(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 3)*(-2 + 1211844*g - 1200189*g + 1 + 1).\nAnswer: 11655*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 19 = j + 4*q, -3*q = 5*j - 29. Let g = -2 - -3. Differentiate -62*v**2 - g + 11*v**j + 62*v**2 wrt v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.64 - 8284.3?\nAnswer: -8284.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add together 86096 and 4174863.\nAnswer: 4260959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s**4 + 680*s**3 + 7714*s**2 + 24312*s + 7272 = 0. What is s?\nAnswer: -101, -6, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -23 + (-27 - 1) + 27 + 1 + -6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*b = -0 - 1, -4*b + 14 = 2*z. Solve -a + 3 = 0, -z*s = -0*a - 2*a + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.28 + 17.72. Let p = -19.2 + n. Let j = p + 2.2. What is the closest to 1 in -6, j, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 3*d**2 - 6*d + 1. Calculate o(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 107, 271, 443, 623, 811, 1007, 1211?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 57842643659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1699916324?\nAnswer: 2, 151, 2814431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 955 + 1591 - 92 = -78*w - 1992 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 10271, 10290, 10309, 10328, 10347, 10366?\n\"Answer: 19*l + 10252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 434857 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/25))**1 assuming h is positive.\nAnswer: h**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -135 - -76055072?\nAnswer: 76054937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1.702*0.3\nAnswer: -0.5106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5417\/5 + 1085. Let o = -2148\/5 + 430. Solve -16\/5*w - u - o*w**3 - 2*w**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13475 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 376270.\nAnswer: -1\/75254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 172, 131, 70, -5, -88, -173, -254?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of -g**8\/2240 + g**5\/60 + g**4\/6 + 3*g**2. Let k(z) be the second derivative of l(z). Differentiate k(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 6651 = 5*f + s, 4*s = 2*f - 2638. Let v = -945 + f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 946541.9 litres?\nAnswer: 946541900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -365711642, -1 in descending order.\nAnswer: 4, -1, -365711642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1915459.5 + 1915439.4999975. Let c = h - -20. Round c to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5\/((-10)\/(-6)) + 0. Suppose 4*d - 32 = -2*c, c + g*d = 4*c - 57. Solve -3*j + 0*j = -12, -5*j = -2*y - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 710.2289 centuries in decades?\nAnswer: 7102.289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 56*d - 2. Suppose 5 = -0*t + 5*t. What is the tens digit of g(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.060175731 and 0.5.\nAnswer: -0.0300878655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*z + 1476 + 1678 = 0. Suppose -4*h + 9*h - 430 = 0. Let s = h - z. Calculate the remainder when 18 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (352\/120 + -3)\/((-9)\/225)*(-15)\/(-1175).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -462156*i**2 + 96688*i + 128 = 0. Calculate i.\nAnswer: -8\/6081, 4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(684) + 2 + 2 - (4 + sqrt(684) + sqrt(684)*1 - sqrt(684)))**2 + (1 + -1 + sqrt(684) + 2*sqrt(684)*-3)**2.\nAnswer: 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/c**(1\/23))\/((c\/c**(-22))\/c))**(-2\/63) assuming c is positive.\nAnswer: c**(922\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -51*b - 1494. Give k(-30).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -4313 (base 12) to base 6.\nAnswer: -54023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of n**7\/735 - 19*n**5\/70 + 2*n**4\/3 - 33*n**2 + 48*n. Factor c(b).\nAnswer: 2*b*(b - 7)*(b - 1)*(b + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 e, and 2 z when four letters picked without replacement from {b: 3, g: 2, x: 1, z: 3, e: 1, a: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -4, 32, -0.3, 0, 301?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of -s**4\/2 - 5*s**3\/3 - 2*s**2 - 3. Let t be p(-4). Suppose t = -4*i + 4*v, 3*v - 10 - 17 = 2*i. Which is smaller: i or -20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5 + (6\/(-6) - 12). Let x(a) = -a**3 - 8*a**2 - a - 12. Calculate x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 7*t. Let y(j) = j**2 + 3*j + 2. Let r be y(-4). Let o be r\/15 + (-4)\/5. Is o at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -420927, -420925, -420923, -420921, -420919, -420917?\nAnswer: -420915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (24\/15)\/(6*(-7)\/105)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 88662 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes after 1:54 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*j, 2*j - 5*j = -3*y + 36. Suppose -407 = -y*a - a. Suppose -h + 1 = -a. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -95*k + 12*k - 830 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s**3 + s**2 - 2*s**3 + 6*s**2 + 8*s**3 to x*s + p + d*s**2 + u*s**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-37380)\/252*444\/(-740).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + -11 + 22 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*o - 1441 + 1417. Let c be ((-9)\/o - 2) + -2 + 9. What is n in 0 + 0*n**2 - c*n**3 + 1\/2*n = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3497*n**2 + 1253214 - 1253214 + n**3 + 2*n.\nAnswer: n**3 + 3497*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -74901, -149998, -225261, -300684, -376261, -451986?\nAnswer: -527853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 + 8*b + 1. Let f be 2 - (-1 + 2 + -2). Suppose f*j = -2*j + 185. What is the remainder when j is divided by s(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ogxiiua. Give prob of sequence ixa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be -4*(-2)\/(-2)*20\/(1120\/(-42)). Solve -z = -7*u + l*u + 3, -2*z - 1 = -3*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 142539 - 54532 = -f. Let k = -159007 - f. Round k to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 218382 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4.2 + -4. Let n = 32 + -35. Which is the smallest value? (a) h (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2392 divided by 11\nAnswer: 2392\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3008 divided by -19.\nAnswer: 3008\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -26*g + 7. Let f(d) = -17*d + 5. Let a = -342 - -335. Determine a*f(v) + 5*h(v).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 300 = -0*a - 5*a. Let o = a + 89. Suppose -4*j = -3*d + 19, 4*d - o = -3*j + 13. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((252\/35)\/(4\/(-6)))\/((-38)\/95)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.46 + -0.26. What is the closest to -1 in 7, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00108209923 to seven dps.\nAnswer: -0.0010821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(150\/(-20) + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 - 11*v**2 - 100*v + 385. What is w(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 2*b. Let s(t) = 7786*t - 24. Let w(c) = -15571*c + 42. Let d(k) = 7*s(k) + 4*w(k). Calculate p(d(z)).\nAnswer: -15564*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1641464583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 719*g - 22. Let d be a(2). Suppose 183*u = 189*u - d. Does 48 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -99 - -62. Let d = j + 36.99724. Round d to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 3 y when four letters picked without replacement from yymyyyyyaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44047350?\nAnswer: 2, 3, 5, 97883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 614503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -5*v + 8. Let c be q(-3). Let j be 1\/(c\/(-12) - (-6)\/3). Let f = 30 - 6. What is the greatest common divisor of j and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 - -657326?\nAnswer: 657327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -234*s**2 - 382589 + 382589.\nAnswer: -234*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 33624287 to the nearest integer?\nAnswer: 5799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -106.3263 + 0.6063. Let d = 102 + m. Round d to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 + 11*a**2 - 10*a + 6. Let t be i(10). Let y(u) = u**2 - 4*u - 3. Let o be y(t). Calculate the greatest common factor of 72 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 - 15*q**2 + q - 15. Let u be (-87)\/(-15) + 24\/(-30). Suppose 3*v - 4*z - 88 + 35 = 0, z = u*v - 77. Let d be h(v). Solve d*t = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-x - 2*x - x)*(-237 + 327 - 251) + 10 + 3*x - 2*x - 6 to the form t + q*x and give q.\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 28\/57 and -24\/2069.\nAnswer: 117933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -48*u - 6. Let v(f) = -23*f - 3. What is -5*v(p) + 2*z(p)?\nAnswer: 19*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 25219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -2*h**3\/15 + 186874*h**2\/15 + 1308196*h\/15 + 124592 = 0. What is h?\nAnswer: -5, -2, 93444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*l**2 + 15*l**2 + 3*l**5 - l**5 - l**5 - l**5 + 3*l**5 + (3*l - l + 0*l)*(-l**2 + l**2 + l**4).\nAnswer: 5*l**5 + 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 + 2. Let b = 0.06 + -0.36. Let t = 12 - 16. What is the closest to i in t, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3638488 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 14 = 2*k, 2*u + 0*k + 4 = 4*k. Calculate the remainder when (-9)\/6 + 46\/u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 24 (b) 2\/51 (c) -1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(78)\/sqrt(2))\/sqrt(3).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 122.2276 centuries to millennia.\nAnswer: 12.22276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + u + 228 = 0. Let a = u - 20. Calculate the remainder when a is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 734 - (3 - 9\/1). Let d = o - 2195\/3. Factor 10\/3 + 5*r**2 + d*r.\nAnswer: 5*(r + 1)*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 9.59.\nAnswer: -9.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -5*f**5 + 1490*f**4 - 169920*f**3 + 9020160*f**2 - 209018880*f + 1343692800 = 0. What is f?\nAnswer: 10, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of f**3*i**3*j + 535*f**3*i**2 - 1250*f**3*j - 2*f**2*j - f*i**2*j + 5*f*i*j wrt i?\nAnswer: 6*f**3*i*j + 1070*f**3 - 2*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - f = 6. Sort -0.4, f, 2\/3.\nAnswer: f, -0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 3:51 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11369 + -11370. Put 2, j, -4, 10, -2 in descending order.\nAnswer: 10, 2, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 13*l**2 + 1247*l + 1250. What is b(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8 + 8 + 15*d)*(-d**2 + 3*d**2 - d**2)*(0 - 2 + 0) to the form f*d**3 + x + b*d + g*d**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d = 64 + 391. Suppose -41*h + 140 = -d. Solve 4*r + h*y + 9 = -3, 4*r + 3*y + 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10874 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/4 in -3\/8, -2\/59, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 0, 2*d - 3*d - 6 = -3*m. Suppose 6*x = m*x. Solve -u + x = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-4 + 15 + -6 - (6 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 4*r + 3892 = 0, 4*c - 2*r = 4577 - 1453. What is the highest common factor of c and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 878 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 101, 18, 4, -2 in decreasing order.\nAnswer: 101, 18, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add together 66111 and 10.\nAnswer: 66121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f**2 - f**2 + 0*f**2)*(-3 + 1 + 3)*(-2*f**2 + 2*f - 2*f).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 110100110111110010101 (base 2) to base 4.\nAnswer: 12212332111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -11111011011 (base 2) to base 6\nAnswer: -13151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-28 - 31) + 28 + 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -160, 10, 478, 1394, 2908, 5170, 8330, 12538?\n\"Answer: 25*n**3 - n**2 - 2*n - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28*(-25)\/875 + (-2264)\/20.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(32\/(-44))*(-32)\/4. Let y be (-4)\/w + (-9)\/11. Let a(d) = 14*d**3 - 2*d - 1. What is a(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 13\/21 - 3\/9. Let n = 0.5 + -1. Let g be 1\/((7\/(-147))\/((-6)\/42)). What is the closest to d in n, -4, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.93 + -0.42. Let n = z + 1.35000439. Round n to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/19 and -1*(-3)\/6*237\/12?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + 4*m**2 + m - 4. Let r be u(4). Sort r, 1, -2 in increasing order.\nAnswer: -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 22.46 and -64.\nAnswer: -41.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -3*j**4 + 375*j**3 - 7719*j**2 + 45525*j - 38178 = 0.\nAnswer: 1, 9, 14, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 - 14) + (-4 - (-5 + -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**6*g*g\/(g\/g**5*g)*(g**(1\/3)\/g*g)**25*g**0*g**(-3)*((g\/(g\/(g**0*g)))\/g)**44 assuming g is positive.\nAnswer: g**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1027)\/(-52) + 1\/4. Let t = q - 20. Suppose t*k - 8 = -2*k. Solve 0 = -u - 6 + k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 322*k + 18*k.\nAnswer: 340*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*w**3 + 4*w**3 + 2*w**3 - 2*w**3 - 3*w**3 + 4*w**3 + (-6 + 6 - w**3)*(0 - 1 - 1) + w**3 - 5*w**3 + 3*w**3 to m*w + x*w**3 + u*w**2 + f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2927 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.2 - -8.2. Put k, -2, 1, 0.4 in ascending order.\nAnswer: -2, 0.4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/90 and -76\/549?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 - 3*x**2 + 3*x - 3. Give t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 63\/12*4\/(-6)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wroxrxlrrl. What is prob of picking 1 w, 2 l, and 1 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2485973*c**2 - 956021*c**2 - 338345*c**2 + 4*c**3.\nAnswer: 4*c**3 - 3780339*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -21368, -85422, -192164, -341588, -533688?\nAnswer: -768458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 - -b450b?\nAnswer: b4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 166 and 4.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (0 - (-5 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by -8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24, 16, 8, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.03824 + -17.16024. Let s = o - -17. Let w = 0.178 - s. What is w rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/n**(8\/9)*n*n*n**(-8\/3)*n assuming n is positive.\nAnswer: n**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -6*n**2. Let r(p) = 8*p. Let g(v) = v. Let u(z) = 18*g(z) - 2*r(z). Determine d(u(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kje when three letters picked without replacement from kje?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1*-0.10291\nAnswer: -0.10291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bbggxbbbgbbbbgbbggb.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**35\/u*u)**(-18\/13) assuming u is positive.\nAnswer: u**(-630\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2423 - 18?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (83\/21 - 4)*(-3)\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2 and 2443262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4565*i**6*m**2 + i**3*m**3 - 23*i**2*m**3 + 10*i**2*m + 2*i*m**3 + 2 wrt i?\nAnswer: -547800*i**3*m**2 + 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 795 divide 192211125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r = 37 - 2. Let o(f) = 3*f**2 + 6*f + 13. What is the tens digit of o(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 212 and 121264?\nAnswer: 121264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 43 + -7. Suppose 176 = 5*k + u. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*z + 13*z - 32*z + 9*z**3 + 7*z.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -3*f**2 - 7*f + 12. Calculate c(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/14 and -97\/216.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**3 - 3*d**2 + 4*d - 3. Let i be (-1)\/(1 - (-8)\/(-10)). What is the remainder when n(i) is divided by 1*-4*14\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 + 2*h)*(-8066271 + 1541*h**2 + 8066271).\nAnswer: 3082*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 3*h = 11, 2*b + 0*h - 211001 = 4*h - 210999 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 694875297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:09 PM and 12:58 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express p**2 + p**2 + 0*p**2 + 2*p**4 - 2539 + 2846 in the form o + h*p**4 + l*p + r*p**2 + a*p**3 and give o.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 658658 + -355945. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v + 3*v + 0*v - v + v - v + (-2*v + 0 + 0)*(0 - 3 + 4) + (-v - v - v)*(2 - 3 + 0).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the third derivative of -l**6\/120 + l**5\/30 + l**4\/12 - l**3\/6 - 2*l**2 - 6*l. What is j(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g. Let c(b) = -5117*b + 28. Let m(o) = -240502*o + 1330. Let q(n) = -190*c(n) + 4*m(n). What is q(a(f))?\nAnswer: -20444*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2*n**2 + 20*n - 19. Let u be f(1). What is the hundreds digit of (-313)\/((u - 1)*2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 26*i - 141 - 1627. Suppose -i*q + 36 = -59*q. Which is the nearest to -2\/5? (a) -0.1 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2072903 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {f: 2, z: 1, s: 4, e: 2, a: 1, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 850*o**3 - 170*o**2 - 170*o - 170. Let a(l) = -3*l**3 + l**2 + l + 1. Calculate -340*a(q) - 2*k(q).\nAnswer: -680*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17367, 17258, 17111, 16932, 16727, 16502, 16263, 16016?\nAnswer: 15767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -9.14 less than -1845?\nAnswer: -1835.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7743 + 7744. Let z be (6\/5)\/((-63)\/(-30)). Which is the nearest to -4? (a) q (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 14*c - 2. What is the units digit of l(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.971 - -0.029. Let x = d + -4.1. Round x to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 1\/12, 3.4, -37, 2, -3 in decreasing order.\nAnswer: 3.4, 2, 0.1, 1\/12, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 - 4*i**2 + i - 2. Let o be p(4). Suppose 44 = -o*m - 36. What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 4*u + 131 = -3*u, 3 = -3*u. Calculate the remainder when 130 is divided by l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17351.\nAnswer: 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 12*g**2 - 1. Let i(o) = 3*o. Calculate q(i(k)).\nAnswer: 108*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-4*sqrt(2499)*-1 - sqrt(2499)))\/((sqrt(3) - sqrt(27)*-3)*-1*5).\nAnswer: 21*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 - 49*h**2 - 5*h - 230. Calculate n(-49).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -419a182 - -7?\nAnswer: -419a176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -28538 - -42259. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 1092*c = -1091*c - 817077, -m + 272355 = c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19951 = -4913*n - 2121 - 36884 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*k**6*y**2 + 256653*k**3*y**3 - 130243*k**2*y**2 - 6*k*y**3 wrt k.\nAnswer: -480*k**3*y**2 + 1539918*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n**2 - 167*n + 1074. Let c be j(-90). Which is greater: c or -97?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 61*d + 371. Let g be 3 - (9 - (-9 + 9)). Let b be u(g). Solve b*v + 11 = -3*h, -4*v = -3*h + 19 + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 90 + -91. Which is the third biggest value? (a) -58 (b) -4\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 - 4*v**4 - 60*v**3 + 0*v**4 - 14*v**2 + 62*v**3 + 11 - 2*v to b*v + j*v**3 + g + h*v**4 + x*v**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus -0.08?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*m**2 - 2*m**2 + m**2)*(4 - 5 + 4) to the form y*m**2 + f*m + p and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -52\/3 and -95\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 274 - 26 + 507 - 141 + 2*b in the form g + n*b and give g.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.033 + 2.533. Let m = 6.5 + j. Let r = -0.09 + -4.91. What is the third smallest value in r, m, 4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/15*(-200)\/(-42) - -6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -666 + 670. Is j\/(3\/(-4824)*-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -4*h + 1. Let z(c) = -c**3 - 9*c**2 - 7*c + 9. Let k be z(-8). What is p(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -5*v**2 + 5*v. Let o(l) = -4*l**2 + 6*l - 1. Let b(q) = -6*n(q) + 5*o(q). What is the derivative of b(p) wrt p?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51564 + -27.2.\nAnswer: 51536.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 = -5*o - 4*k + 6 - 2, 0 = -3*o + 2*k - 32214 + 32225 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, 2761, -33, 32 in ascending order.\nAnswer: -33, 0, 1, 32, 2761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -3*l**2. Let m(x) = -8*x**2 - 32*x + 256. Let h(z) = m(z) - 3*n(z). Suppose h(p) = 0. What is p?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 12:25 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmrmrrmmmrmmmmmmmmm?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 + (-15 - (3 + -22)) + -123 + 11.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1005 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -178, -232, -94, 302, 1022?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16*n**2 + 4*n**2 + 2*n**3 + 0*n**3)*(5*n**2 + 0*n**2 - 3*n**2).\nAnswer: 4*n**5 - 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 4*c + 4601. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1)\/s**(-10))**(19\/2)\/((s\/((s**9*s*s)\/s))\/s**(4\/7)*s**(6\/11)*s**0) assuming s is positive.\nAnswer: s**(14557\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 15 + (2\/(-2))\/((-3)\/(-9)). Suppose -b*u - 13*u = -25. Is -2\/561 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 63*w + 3 - 73*w + 9 + 0 wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15310, 61183, 137622, 244627?\nAnswer: 382198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 7, o: 1, b: 4, f: 2, n: 2}. Give prob of sequence eeob.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4522385489\/3960558 - 1820\/282897. Let u = 182878\/189 + 4832\/27. Let g = q - u. Calculate the common denominator of -10\/7 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 92, 92, 94, 98?\n\"Answer: z**2 - 3*z + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 + 19. Let s be (-35 + 18 - -8) + 47. Sort 4, l, s in descending order.\nAnswer: s, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4286887 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**2)**(-1\/8)\/(f*(((f*f\/(f\/f**(-1\/4)*f*f)*f)\/f)\/f)\/f*f*(f*f\/f**(-15))\/f*f) assuming f is positive.\nAnswer: f**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 144014 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be (176\/(-64) + 26)\/((-90)\/16). Is v > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7255*w + 520 = -7190*w. Solve -4*s - 2 = -2*c, -c - w = -5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24892 + 25796 + m**2 - 50688.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 1 + sqrt(3))**2 + sqrt(27) + 2.\nAnswer: sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*c**2 - 3*c**2 + 173*c - 218*c + 8*c**2.\nAnswer: c**2 - 45*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1445 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0047118123 rounded to five dps?\nAnswer: -0.00471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.2 - -0.3. Let x = s + -6. Let v = 0.2 + -0.3. Which is the third smallest value? (a) x (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 51369, 102653, 153937, 205221, 256505?\nAnswer: 307789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-10) - (-6)\/(-30) - (7 - (-1185)\/(-75)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 - 5*j**2 - j - 7. Let q be s(5). Let d be (6\/q)\/((-1)\/(-2)). What is the units digit of 8 - (1 - 0)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 - 11*w + 28. Let r be d(6). Let u be (-56)\/(-6)*((-155)\/r - 4). Suppose -u = -5*a + 3*n, a - 146 = 3*n + 2*n. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes before 12:54 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 5*h**4 + 58*h**3 + 136*h**2 + 77*h - 3. Let b(u) = 60*u**4 + 695*u**3 + 1630*u**2 + 925*u - 35. Let l(j) = 3*b(j) - 35*v(j). Factor l(k).\nAnswer: 5*k*(k + 1)*(k + 2)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cucicficiucuiiucu. Give prob of sequence fi.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 + 10 = 9*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11\/((-22)\/(-192)) - (96 + -96) and 5364.\nAnswer: 42912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 4*q**3 + 7852*q**2 + 147744*q = 0.\nAnswer: -1944, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 126 = -11*g. Let i be 58\/30 - (-3)\/45. Solve -b + g = 3*o + 2*b, b = -i*o + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 338 or 335?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 2. Let s = -4 + y. What is the remainder when (-24)\/(-3)*(-2)\/s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, -0.3, 1, -4, -1093, -2 in increasing order.\nAnswer: -1093, -4, -2, -0.3, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2805317461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 PM and 11:38 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 217182.\nAnswer: 2, 3, 7, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.340213 * 0.5.\nAnswer: -0.1701065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1598, -2033, -2762, -3785, -5102, -6713?\nAnswer: -8618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 1\/386789 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2992, 3001, 3024, 3067, 3136, 3237, 3376?\n\"Answer: g**3 + g**2 - g + 2991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1751*k**3 - 3*k**2 - 439 wrt k.\nAnswer: -10506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 14 (base 8) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 382, 448, 526, 622, 742, 892, 1078?\n\"Answer: f**3 + 59*f + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-297)\/6 - 0)\/(((-64)\/8)\/16). Calculate the greatest common divisor of 4257 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4e - -9ae?\nAnswer: a0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 812088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/7, 0.04, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3498.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/5 in 2\/15, 106, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4, -42, -140, -328, -636?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/8, 2\/11, -0.23, 2\/159, -17 in ascending order.\nAnswer: -17, -0.23, 2\/159, 2\/11, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -v**3\/6 - 65*v**2\/3 + 45496*v - 1340880 = 0.\nAnswer: -604, 30, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2 + 2*p + 8. Let y be m(4). Solve -t + s - 1 + 8 = y, 0 = -2*t - 4*s - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2 + 11*b + 18. Let i be ((-16)\/(-20))\/((-5)\/50). Determine q(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(2\/11)*y*y**(-1\/2)\/y*y)\/(y\/(y\/(y**(2\/3)*y))*y)**(-3\/11)*(y*y**(2\/3))**(-33\/4)*y**(2\/11)*y*y**(-1\/8) assuming y is positive.\nAnswer: y**(-905\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 36240999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -254*b = 21*b + 53 + 222 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-648 - 383 + 730)*(0*f**4 + 10 - f**4 - 33).\nAnswer: 301*f**4 + 6923","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -7 + (8 - (4 + 7)) + -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 4*y - 16 = 0, -2*r + 2 = 3*y - 5*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 4*f**2 - 8*f + 18. Let g be n(5). What is the smallest value in -4, -12, g?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that d**5\/5 + 24*d**4\/5 + 10*d**3 - 240*d**2 + 225*d = 0.\nAnswer: -15, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -15849, -16520, -17191, -17862, -18533?\n\"Answer: -671*h - 15178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-2)*o)**30\/((o*o**(-2\/5)*o)\/(o*o*o**(-4\/7))) assuming o is positive.\nAnswer: o**(4194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -221*x**3 - 44*x**4 + 37*x**4 + 169*x**3 - 2*x**2 in the form p + n*x + h*x**3 + j*x**2 + w*x**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 84*r + 230*r**3 - 25*r**2 - 229*r**3 - 101*r + 2601.\nAnswer: (r - 17)**2*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2 - (2 + -6)) + 1. Suppose 5*b = -p + 64, 0 = -m*b + p + 4*p + 44. Calculate the greatest common factor of b and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -171.2059499 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3831.2372 rounded to the nearest ten?\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6906546.\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -7*f + 118. Let u be g(16). Suppose -3*s - 3*m - 145965 = 0, -2*s - 3*m = -u*m + 97285. Round s to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 152\/8 - (396 + -412).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11266 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6563*k**2 + 6546*k**2 + 0*k + 0*k.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2255 and 880?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*y + 29 = -862. Let f = 178 + y. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*((q\/(q*q\/(q*q**6))*q)\/q)\/q*q*q)\/q*q)\/q)**15 assuming q is positive.\nAnswer: q**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 + -11222110211?\nAnswer: -11222110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -580*t + 42 = -566*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the third derivative of 0*o**4 + 0*o**3 + 1\/60*o**6 + 0 + 9*o**2 - 2\/15*o**5 + 0*o. What is the third derivative of h(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 82\/76 - 1\/2. Let t = j + -337\/57. What is the common denominator of t and -30\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 258214 is divided by 174?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -1\/2 (b) -4 (c) -60.644\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 0.0442304km?\nAnswer: 44230400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -3\/259, -2, 2\/9, 0.07, -5 in increasing order.\nAnswer: -5, -2, -3\/259, 0, 0.07, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/(a\/(a*a**14*a))*a)*a*a**(-29))\/(((((a\/(a*a*a**27*a))\/a)\/a)\/a)\/a*a*a**28\/a))**29 assuming a is positive.\nAnswer: a**(-1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p + 77. Let r be z(-21). List the prime factors of 3\/(-6) - (4 + (-4669)\/r).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tog when three letters picked without replacement from tgggottkttkttggth?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(200) + 3)*-5.\nAnswer: -50*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i + 7 - 1. Let p(s) be the third derivative of s**6\/120 + s**5\/20 + s**4\/12 + s**3\/6 - 6*s**2. Determine p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 - 5*u**2 - 7*u - 1. Let a be o(-3). Put 5, 9, 3, a in descending order.\nAnswer: 9, 5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -148*b + 31517. What is h(213)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 13, t: 3, n: 1}. Give prob of sequence nl.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 78296631 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -61581 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (6*(5 + -3 + sqrt(242))*3)**2.\nAnswer: 14256*sqrt(2) + 79699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 706626 and 2934.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.20471655 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 671457*l**2 - 1342885*l**2 + 671422*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 517*(-17)\/(-8228)*44?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**3 - 6*w**2 + 5*w - 10. Let l be f(-7). Suppose n = -n + l. List the prime factors of (-35 - -115) + (-2)\/(n*1).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 75 - 374\/5. Let f(y) be the first derivative of -2 + 0*y + 1\/5*y**4 + 2\/5*y**3 + s*y**2. Factor f(j).\nAnswer: 2*j*(j + 1)*(2*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = -7*c + 35. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 32222414 + -30?\nAnswer: 32222334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 3*(1 + 10\/15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence umm when three letters picked without replacement from {k: 1, b: 1, u: 1, i: 2, m: 2, q: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -4492.9135 rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2116? (a) -2\/21 (b) 5 (c) 54 (d) 1 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from afwoyaoayaaoafaaba?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 12 = 5*a - 3*x, -4*a + 4*x = -24. Suppose k + a*k - 24 = 0. Find the third derivative of -2*s**3 + 4*s**2 + 2*s**3 + 11*s**k wrt s.\nAnswer: 1320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 81 = -14*n + 291. Let x(r) = 8*r**2 - 3*r - 5. Let k be x(-4). Calculate the greatest common factor of k and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 + 17*c**2 + 16*c + 16. Let r(n) = n**2 - 4*n - 6. Let t be r(-3). What is the units digit of u(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 321*c - 17. Let j(s) = 80*s - 4. Calculate 6*f(m) - 26*j(m).\nAnswer: -154*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 747325*l - 747301*l + 1008 = 0 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.01? (a) -2 (b) -3\/2 (c) 2\/23 (d) 4 (e) 2\/33 (f) 5210\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -954687 + 398687. What is g rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 11:09 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(60) - ((2*sqrt(720))\/sqrt(12) + sqrt(60))) + sqrt(2940)*-6)\/(sqrt(432) + 2*sqrt(432)*1 + -4*(sqrt(432) - 2*sqrt(432) - sqrt(432))).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -522406.5 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g - 2. Let c be d(6). Suppose -3*n + c = n. Is ((-2)\/(-6))\/(n\/2019) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.021 (b) -0.1 (c) -0.015 (d) 2 (e) 7 (f) 4\/17 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 23*x - 17. Let u(q) = 15*q - 11. Let c(y) = 5*p(y) - 8*u(y). Let a be c(-2). Calculate the highest common factor of a and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 104 divided by -8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-52)\/16)\/((-2)\/8). Let u = d - 8. Factor 0*r**4 - 6*r - 6*r**4 + 0*r**u + 4*r**3 + 4 + 2*r**5 + 4*r**2 - 2.\nAnswer: 2*(r - 1)**4*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -322 times 0.1?\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 68262179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 427073 = 8172*o - 8163*o + 2894. List the prime factors of o.\nAnswer: 7, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1148443 by 3.\nAnswer: -1148443\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 618272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -7*n - 21. Let o(i) = 3*i + 10. Let m = -4121 + 4127. Give m*a(l) + 13*o(l).\nAnswer: -3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -28040 = 476*w - 3764 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 + -15. Suppose -w*h = 0, 5*j - 4*h - 20 = -5*h. Solve -3 = -j*l - 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes before 8:20 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/39 and 22\/7413?\nAnswer: 96369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3059 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 {w: 8, g: 2, b: 2, k: 3, z: 4}. What is prob of picking 1 g, 1 z, and 1 k?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 62142*r*u - 149*u + 354 wrt r.\nAnswer: 62142*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -664 - -662. What is the closest to 0 in j, 34, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22768105 is divided by 95.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -47180.62 + -0.8.\nAnswer: -47181.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 49444152 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 11*i**2. Let h(l) = 10 + l**2 + 3*l**2 - 10. Calculate x(h(f)).\nAnswer: 176*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*u - 40460 = 59*u. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + m**2 + 6*m**3 + 8*m**2 - 4*m**3 in the form v + s*m**2 + p*m**3 + n*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -2*z**2 + 4*z - 7. Let n(p) = p**2 - 4*p + 8. Let w(m) = -5*n(m) - 6*s(m). Let u(o) = 7*o - 2 - 8*o**2 - 6*o + 4*o. Give 6*u(r) + 7*w(r).\nAnswer: r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -a6 - 180?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.5? (a) -23 (b) 1\/4 (c) -9 (d) -0.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 2 c when four letters picked without replacement from icuiuuiiuiiuiic.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 898 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**2 - 14*a + 6. Let j be m(14). Let o be (2 - j)*-1 - -20. Suppose -6*u = -8*u - o. Is -1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/2*10*28\/4. Let g be 30\/(-4)*-4 - (-4 + 1). Are t and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1ba + d4c72?\nAnswer: d4e3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16 and 1846044?\nAnswer: 7384176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 6437396148*w + 6*w**2 - 6437396148*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = -4*t - t. Which is the closest to 0.2? (a) -3\/2 (b) -2\/19 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 137*u**2 + 34*u**2 - 85*u**2 - 85*u**2 + 19 - 37*u in the form x + z*u + r*u**2 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5444.\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 5, 2*h - 14*f = -11*f + 189. Suppose -h = -8*x - 95. Put -2, x, 1, -3 in descending order.\nAnswer: 1, x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 133 divide 5140187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 364 and 16772.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 + 0)\/((-1)\/8). Solve -3*a + x + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -9332?\nAnswer: -1\/9332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 56 = 62. Suppose -3*h = a - 2 - 237, 3*a = -b*h + 249. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3402 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 427424*c**6 + 282953*c**2 wrt c?\nAnswer: 51290880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -126, -212, -266, -288, -278, -236?\n\"Answer: 16*h**2 - 134*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 15004 = -5702*n - 11201 - 87835 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1902*t - 4444*t + 129 - 4 + 2039*t wrt t.\nAnswer: -503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -37*w. Let f(i) = -194771*i**2. Give s(f(o)).\nAnswer: 7206527*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 1 - (16 + -16 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 114777.3 take away 655996?\nAnswer: -541218.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 19998969 at least as big as 19998970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.4 - 2.6. Which is the third smallest value? (a) w (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -2\/9, -0.3, 48, 0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*g**2 + 50*g**2 + 28*g**2.\nAnswer: 67*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 309 + 24. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z + 28 - 89 = -w - 0*w, 2*z + 0 = -3*w + 27 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 819*h**3 - h**2 - 5*h + 4. Let n(m) = 3*m - 23. Let q be n(8). What is the tens digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -5410, -5409, -5408?\n\"Answer: c - 5411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18 + -22. Calculate the common denominator of (182\/48 + k)*-26 and 55\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5270 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 98664869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/14)\/(7\/14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 55 (b) 4 (c) 28\/27 (d) 1 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 693945227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -a - 4*b + 120, 4*a = b + 179. Suppose a*h = 67*h - 46. Let q be 4\/6*3 - -2. Sort q, -2, h in ascending order.\nAnswer: -2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -63510342\/13 at least -4885412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.34422 + -0.405226. Let l = 0.061 + g. What is l rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 26 + -21. Sort 1, x, -5 in descending order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 9*a - 2. Suppose -1 = -0*x - 5*x - 3*n, 3*n + 3 = -3*x. Let r(p) = -28*p + 7. Give x*r(g) + 7*b(g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 31, 35, 41, 49, 59?\n\"Answer: o**2 + o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.053 + 11.153. Let h = a + -10.1. Let t = 39 + -45. Sort -0.5, t, h in ascending order.\nAnswer: t, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -101538 divided by -1?\nAnswer: 101538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 6206 a factor of 1495207825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1080 and 1728.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -39, -11, 5, 0, -1 in ascending order.\nAnswer: -39, -11, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 291f17 (base 16) to base 7.\nAnswer: 31622645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 6896659064914 from 4.\nAnswer: -6896659064910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 - (10 - (0 - 0)). Suppose -570*p = -565*p - 48645. Is y\/(-44) - p\/(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 34, -5, -3, -4, 2798, 5, -2 in increasing order.\nAnswer: -5, -4, -3, -2, 5, 34, 2798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32843, -34909, -36975, -39041, -41107?\nAnswer: -43173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5036119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 34 - -116625?\nAnswer: 116662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 22 + 56. Let h = j - 62. Suppose 13 = 4*c - 7. What is the remainder when h is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 12*s**2 - 2*s - 20. Let b(y) = 13*y**2 - y - 11. Determine -3*b(o) + 2*f(o).\nAnswer: -15*o**2 - o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -69.33 - -69.33. Let r = 34 + -66. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + -2 + -7 - 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 207*h - 80*h = 101*h + 292*h - 18886 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 o and 1 c when four letters picked without replacement from ccoozddcozczzzcdc.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -23*u**2. Let k(o) = -2*o + 8. Calculate k(x(v)).\nAnswer: 46*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 4*z + 36, -7*z + 6*z = l + 7. Calculate the common denominator of -5 - (l\/(-60) - (-662)\/60) and (-1 + (-20)\/(-18))*56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275)\/sqrt(5))\/sqrt(11) - (sqrt(5) + 1)*4.\nAnswer: -3*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i**3 - 16*i**2 + 29*i - 40. Give j(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 778 divided by -597\nAnswer: -778\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(((sqrt(1300) - (sqrt(1300) + 4)*-3) + -5 + 2*sqrt(1300))*5)**2.\nAnswer: -7027350 - 126000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -5*d - 74. Let p(l) = -l**2 - 15*l + 14. Let j be p(d). Suppose -5*r + 5*x + 10 = 0, -4*r = -x + 5*x + 8. Is r less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40\/(-70)*(9\/12)\/((-12)\/(-280))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3091, 9363.\nAnswer: -3, 3091, 9363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6 - 5)*5 - -165. Let h = 174 - m. Solve 4*d - h - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 113587 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -6) + (-1 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2029 + -1876. What is the greatest common divisor of 68 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 2*z - 4 = 4, -4*v + 2 = 5*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 3*h, 173 = 4*w + h + 118. Calculate the remainder when 40 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -935?\nAnswer: -4\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 251938 divided by 206?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/8 - 33\/(-4). Suppose s + 1 = -l + 8, -2*s + l + 17 = 0. Calculate the highest common factor of s and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 11551*c + 34. Let r(x) = -x**2. Calculate a(r(t)).\nAnswer: -11551*t**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 12948 by -6.\nAnswer: -2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-222)\/315 - (-28)\/210. What is the third smallest value in -0.4, c, -0.1, 24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.03 + 3.43. Which is the smallest value? (a) 1\/9 (b) g (c) 32 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3603612 to the power of 1\/2, to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 14*t**3 + 11*t**2 - 4*t - 11. Let j(o) = 5*o**3 + 4*o**2 - o - 4. What is 4*h(y) - 11*j(y)?\nAnswer: y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -203077 or -203076?\nAnswer: -203076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -575*x - 623. Calculate k(-2).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -618 + 622. Let d(s) = -19. Let m(i) = i - 25. Let c(f) = z*m(f) - 5*d(f). Let w(y) = 5*y - 6. Let n = -4 - -7. Give n*w(p) - 4*c(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - 7. Let h be 62\/x + (-8)\/(-40). Let t(j) = j**2 + j - 5. Does 13 divide t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 180*b - 14935. Calculate i(83).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -23*u**3 + 14*u**2 + 134. Let z(m) = -8*m**3 + 5*m**2 + 45. Calculate -6*d(p) + 17*z(p).\nAnswer: 2*p**3 + p**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 - -5.2. Let t = l - -1.3. Let n = -3.05 - t. Round n to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + c = 213, 0 = -4*d - 5*c + 9 + 192. Let v(s) = -7*s**2 - d + 54. Let y(b) = -3*b. Give y(v(a)).\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-1316)\/(-91)*13*((-5)\/2)\/((-70)\/14)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(8) + 1 + sqrt(2)*-1 + 5)*-4 - -1*(sqrt(24)\/(sqrt(36)\/sqrt(3))*5)**2)*3.\nAnswer: -60*sqrt(2) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: f (base 16) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -53436*l + 2229 + 112115*l - 55435*l wrt l.\nAnswer: 3244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*j**2 - 2*j**2 + 0*j**2 - 3703.\nAnswer: -2*j**2 - 3703","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 4 + 1)*(2 + o - 4 + 0)*(-o**3 + 0*o**3 + 0*o**3) to the form x*o + y + r*o**2 + p*o**4 + f*o**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*u + 40 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-15)\/(u**(-3\/20)*u) assuming u is positive.\nAnswer: u**(-317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -84170493, -168340983, -252511473?\n\"Answer: -84170490*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 631 - 552. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 120\/(-180) + -1 + 10\/6. Let g be ((-61)\/(-122))\/(2\/48 + r). What is the greatest common divisor of g and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2535 + 1753. Does 2 divide ((-5)\/2 - -1)\/(51\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 520 and 49140?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*i - 2*i + i + (2*i - 4*i + i)*(-1 - 1 + 0) + 3*i + 2*i - 3*i + 1 - i - 1)*(-4*i**3 + 2*i**3 + 0*i**3)*(0 + 1 + 0).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 27864 and 6966.\nAnswer: 27864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 59 - 47. Suppose 0 = 5*n - 5*l, -l = -2*n + 4*n - f. Solve -n = -w - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 4*u - 2277 = 0, -3*y - 459 = -4*y + 2*u. Suppose -d - 449 = -5*b, 2*d + y = 2*b + 3*b. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a + 13 - 2*a - 22 + 16. Suppose 0 = 2*y + 11 + 9. Does 6 divide l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5749761 is divided by 379.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11055178 - -11055177.773683122. Let c = b - 3.773683732. Let a = -4 - c. What is a rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 1\/3, 142?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 154 and 679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -7179 - -7211 - (0 - 60)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(171) + -3*(sqrt(171) + sqrt(171)*1))*-2)\/(2*sqrt(324)*-4 - sqrt(324)))**2.\nAnswer: 475\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -39191 + 39223. Calculate the remainder when z is divided by (8\/(-6))\/(4\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*g + 42 - 242 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2938258\/681 + -12944\/3. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -19.4*0.351\nAnswer: -6.8094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of 0*x**6 + 0*x**3 + 0*x**5 + 5\/4*x**4 - 2*x - 13\/14*x**7 + 0*x**2 + 11. Find the third derivative of z(a) wrt a.\nAnswer: -2340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z - 5*s + 3387 = 3422, -4*s = 6*z + 46 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*t = 95 - 779. Are t and 275\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 260 (base 14) to base 6\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 96271 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that x**2\/2 - 30*x + 112 = 0.\nAnswer: 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 11, g: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2690321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 56326186481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -98*j - 10776. Let k be l(-110). Solve -6*m + m = k*d - 13, -3*m = -5*d - 30 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3500) + sqrt(3500)*-1*1)\/(1*((sqrt(175) - (-2*sqrt(175) + sqrt(175))) + sqrt(175) + sqrt(175))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/5? (a) 1\/7 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(10)*4)\/(sqrt(180) + sqrt(180)*1 + sqrt(180) - sqrt(180)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -258\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 363 * 12089.\nAnswer: 4388307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -8*d - 1. Suppose 26*z + 43 + 162 - 49 = 0. Give u(z).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16532 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 316 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -2823.9149 to the nearest integer.\nAnswer: -2824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -1112 (base 3) to base 15.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*f**3 + 38*f**3 - 7*f**3.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*i + 3*i - 4*j, 2*i = 2*j + 4. Suppose 345 = 5*l - i*c, 0*c - 3*c = -5*l + 340. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -48*c**2 + 21*c. Let a(h) = -7*h**2 + 3*h. Let o(p) = -27*a(p) + 4*g(p). Find the second derivative of o(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -1\/10 (b) 19 (c) 3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 7 by 2099.\nAnswer: 7\/2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add -2241.83 and -13377.6.\nAnswer: -15619.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve d + 3*d + 29 = -5*i, 4*i = -20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 375911434?\nAnswer: 2, 187955717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 163 and 6683?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 700\/560 - (-1)\/(-2). What is the closest to -5 in h, -0.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/63)\/((-216)\/(-252)). Let r(u) be the first derivative of -2\/9*u - w*u**3 + 2\/9*u**2 - 3. Factor r(f).\nAnswer: -2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -6260 and -0.2?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 599\/318 + 15\/53. Let k be (-4)\/12 - 25153\/(-9). Let n = -2798 + k. Calculate the common denominator of n and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/(-4) - -1)*6. Let t(n) = -n**3 + 5*n**2 + 5*n + 1. Let i be t(6). Let b = -8 - i. Are f and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -268, -555, -842?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -8. Suppose -3*y + 9 = -c. Solve -y*p = 15 + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c**(-3)\/c*c)\/(c\/(c*c**4*c)*c)*(c**5*c)\/(c\/(c*c*c*c**(-4\/5)*c)*c*c) assuming c is positive.\nAnswer: c**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -242 (base 9) in base 15?\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 - (-49126)\/3465)\/(28\/10).\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3638 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -8. Let c(k) = -2*k**3 + 4*k**2 - 3*k + 2. Let y be c(p). Let u be (2\/(-2) + -1)*y. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*u + u**2 - 370*u**3 + 371*u**3 + 6*u + 1 to v*u**3 + a + f*u**2 + m*u and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 57*q + 3*m + 261, 4*q + 4*m - 216 + 204 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 4*g**2. Let t(f) be the first derivative of -11 + 0*f**2 + 0*f - 4\/3*f**3. Determine o(t(h)).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = 2*o + 2*j + 39, 0 = -5*o + 5*j - 225. Let v = o + 20. Let g = 45\/2 + v. Which is the fourth biggest value? (a) -0.05 (b) -2 (c) g (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Multiply -48 and -34.\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 2*k + g = -1, 4*g = 12. Find the second derivative of 0*o + o**4 + k*o - 4*o - o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -7*k + 60. Let t be r(-22). Suppose -3*j = 3871 - t. Let w = -8509\/7 - j. Calculate the common denominator of 7\/11 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, j: 2}. Give prob of picking 3 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 554529457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -482840 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 308439897 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16*f**3*j**4 - 7*f**3*j - 2*j**5 + 28 wrt j.\nAnswer: -192*f**3*j**2 - 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18414 divided by 2.\nAnswer: 9207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -j + 8*j**4 - j**3 + 12 - 7*j**4 - 5 + j**4 to w*j**3 + u*j**2 + v*j**4 + s*j + p and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i + 1. Suppose 0 = -2*s + 1093 - 1061. Let v(g) = 12*g - 16. What is s*r(p) + v(p)?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2162 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -47*z**3 + 40*z**2 - 17*z + 59. Let y(p) = -16*p**3 + 14*p**2 - 6*p + 20. Let t(g) = -6*f(g) + 17*y(g). Differentiate t(c) wrt c.\nAnswer: 30*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**4 + 23*g**3 - 180*g**2 + 592*g - 704.\nAnswer: -(g - 11)*(g - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0149470165 rounded to 6 dps?\nAnswer: -0.014947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 522589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 454*n + 153445. Give g(-339).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 76281 and 4674240.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaaaaawaawa. Give prob of sequence awa.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(90)\/sqrt(5)*6)\/(-2*(sqrt(294) + sqrt(294)*1)).\nAnswer: -3*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes before 12:30 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 5513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13.8 in 88\/29, -1\/4, 2?\nAnswer: 88\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 62704 + 25171. Suppose 0 = -z + 2*z - 125. Suppose -4*h + r = -z. What is h rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.5966 + -1.4034. Sort -788, 0.3, -1, g in ascending order.\nAnswer: -788, g, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*u + 44 = 7*u. Is 1\/(-4) - (20245\/u - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 16*d - 13222 = -4*q + 1610, -d = 4*q - 912. What is the greatest common factor of d and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -20*g**2 - 55*g - 11. Let z(m) = 341*m**2 + 930*m + 186. Let s(y) = -186*q(y) - 11*z(y). Let i(c) = -10*c**2. Give s(i(l)).\nAnswer: -3100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 15, 18, 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(y*y\/(y\/(y\/(y\/y**(-8))))*y)*y**(2\/11)*(y**(-3))**(-26) assuming y is positive.\nAnswer: y**(937\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:32 PM and 9:04 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (5 + 1)*((-100375)\/(-165))\/(-73)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - b + 3, 2*c + 3*c = -4*b - 6. Let a be (c\/45)\/((-16)\/24). Let k = -2\/5 + a. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 5*t = 349, 5*c - 20*t - 880 = -9*t. What is the remainder when 8225 is divided by c?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -9 + 7 + (-24)\/(-12). Let f be (-2)\/6 - (-7)\/3. Suppose 0 = f*b - 2 - 2. Solve -b*p + 14 = 4*k, -3*p - 2*k + 5 = -l*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*h + 1435 = -21*h. Suppose h = 102*x - 101*x. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 102 - 100123?\nAnswer: -100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -453 + 698. Let w = f + -265.4. Let n = w + 21. Does -0.3 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (4\/5)\/((-1)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -283*w - 225*w - 414*w.\nAnswer: -922*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5.9 + 5.5. Let l = -629 + 629.1. Which is the nearest to l? (a) z (b) 15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -b + r, -3*b + 111 = 4*r + 40. Calculate the least common multiple of 15 and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 12:29 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*r**5 - 52*r**2 + 52*r**2 + (-r + 2*r + r)*(3*r**3 - 3*r**3 - 3*r**4).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 47\/4 of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8*(3\/12 - 1). Let j be (0 + -1)*(y - -1). Suppose j*a + 6*f = f - 10, -24 = -3*a + 3*f. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -19, 270, 757, 1442?\n\"Answer: 99*x**2 - 8*x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 6*z - 2*z - 36 = 0, -39 = 4*o - 5*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.44 - -0.04. Let t = 2 - 1. Let g be 435\/2088 + (-14)\/16. Which is the second smallest value? (a) g (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 o when three letters picked without replacement from {o: 12, h: 2, j: 5}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 8271266837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*d**2 - 46*d + 2135?\nAnswer: -6*d - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*b, 4*f - 4*b = -0*f. Solve 11 = -4*w + f*r, r + 4 = -3*w - r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.07 + 6.93. Let s = -7.5 + z. What is the closest to -0.1 in 2\/7, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v**4 - 2*v + v**4 + 3*v**4)*(-131 - 64*v + 131).\nAnswer: -64*v**5 + 128*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1953, 2, 9 in increasing order.\nAnswer: -1953, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -445 - -1617. Suppose 12*u = 5156 - p. Does 12 divide (1 + (-6)\/4)\/((-2)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18398 is divided by 15595?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**2 + 28*s - 55. Calculate k(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -a**4\/6 + 859*a**3\/6 + 21079*a**2\/6 + 99689*a\/6 + 13245 = 0. Calculate a.\nAnswer: -18, -5, -1, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -126*(-46)\/12075*15\/(-9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 72\/(-9)*(-1023)\/12. Suppose -188 = -5*b + y. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2 + (2 + 3 - -1). Suppose 3*v + 2*v + 10 = -s, -i*s + 3*v + 6 = 0. Suppose s*k = k - 5. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 455165 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -48*l - 21. Let z(c) = -c + 7. Let m(k) = -6*u(k) - 18*z(k). Let x(r) = -6*r**2. Calculate x(m(w)).\nAnswer: -561816*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together 2495923 and 375793323.\nAnswer: 378289246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 - -1c5?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2067*m**6 + 713*m**2 wrt m?\nAnswer: 248040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5538 and 6.\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and -0.28?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 128 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 13*s**3 - 4*s**2 - 7*s - 4. What is q(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 303 = 43*y + 15. Which is smaller: y or 68\/13?\nAnswer: 68\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -629414.2 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 17071795 to the power of 1\/2, to the nearest integer?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d + 81 = -2*d. Calculate the remainder when 52 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/125)\/((-15)\/150).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -10043 - 100?\nAnswer: -10143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 3*m**3 - 107970*m**2 + 971352096*m + 1943136096 = 0. Calculate m.\nAnswer: -2, 17996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 15 by 29.\nAnswer: 15\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 + -1. Let z(b) = -b**2 + 95*b - 681. Let c be z(8). Solve -a*w + 2*g + 6 = 0, 5*g = -0 + c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 6*h - 10. Sort 0.3, h, -8 in increasing order.\nAnswer: -8, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, u: 9}. Give prob of sequence uu.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 3*q = 8*q - 505, q + 4 = 0. Suppose c*v - 110*v = -25. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 680.0567 nanometers in meters?\nAnswer: 0.0000006800567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -175800, -351616, -527432, -703248, -879064, -1054880?\nAnswer: -1230696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7394429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 + 2*w**2 - 2*w - 3. Let h = -10 + 7. List the prime factors of s(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 + -12. Which is smaller: -7\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 832 a factor of 41480192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 - 1 = 7*f. Calculate the common denominator of (-3)\/(-6) - 4\/22 and (-134)\/f*(43\/20 + -2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 23816 and -3.8.\nAnswer: -90500.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-91149)\/46)\/((-3030)\/3028 + 1). Suppose 2*s + 9*o = 6*o - w, -4*s = o + 5999997. Round s to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 25*k. Let z(f) = 2*f - 10. Let g be z(6). Let s(b) = -11*b**2 + 5*b**2 + 7*b**g. Calculate s(m(o)).\nAnswer: 625*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1079 - -0.0921. What is the nearest to 1 in 53, w, -0.4, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from nmnnrrnr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -3903 + 7815 - 231*v - 3908 as n*v + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 9*i**2 - 8*i - 4. Let p(l) = l - 10*l**2 - 4*l + 6*l + 6*l + 3. Let d(q) = -4*k(q) - 3*p(q). Let y(v) = 5*v**2 - 4*v - 6. What is -4*d(c) - 5*y(c)?\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -236*o + 39. Is j(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(2\/13))**(1\/14))**11*(f**(-7)*f**7)\/(f**(-7)\/f*f**(-2\/3)) assuming f is positive.\nAnswer: f**(2399\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 5*-93161\nAnswer: -465805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.065 + 0.475. Let v = r - 0.4. Which is the second smallest value? (a) -5\/6 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 3*f + 3. Let w be o(-2). Let t = w - 0. Let l(k) = 3*k + 4. Let s be l(t). Sort -1, 3, s in ascending order.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.376436965 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -27 - 689*t + 675*t**2 + 10 + 7 + 1045*t**2 + 9 wrt t?\nAnswer: 3440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 13*j + 27 = 0. Solve 6 = -w + j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 + (0 - -12)\/(-1). Let j be (-963775 + 25)*8\/b. Round j to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/4)\/(2\/8). Let r(n) = -4*n**2 + 61*n - 15. Let h be r(15). Suppose h = 53*q - 57*q. Solve j*u + q = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 206\/(-3) - (1 + 15\/(-9)). Let s = 17 + z. Let p = s - -108. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 42 (c) 7 (d) -3 (e) 10683\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(1\/7)*t)\/(t*t\/(t*t**(4\/3))*t))**(3\/22)\/((t**(-1\/3)\/t)\/t**(-1\/3)*(t*t\/(t*t**0))\/(t**0\/t)) assuming t is positive.\nAnswer: t**(-72\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 1029*w - 15492. Determine r(15).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3, -222, -0.1, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 0)*(0 + 1 + 7 + 4 - 3 - 2 + (-1 + 1 - 1)*(5 - 3 - 1))*(-1 + 28*i - 36*i + 3) + i + 5*i - 3*i.\nAnswer: 51*i - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -115291260 - -13.\nAnswer: -115291247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - 2) + (-1 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**2 - 3. Let q = 22 - 31. Let x be 2 - (q\/(-3) + -1). Give m(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 9:43 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -3138, -5992, -8846, -11700, -14554?\n\"Answer: -2854*b - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 38788.81 centuries in years?\nAnswer: 3878881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 294993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -25 less than or equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77198 is divided by 114.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 60, -1, -504, -5, 1 in descending order.\nAnswer: 60, 1, -1, -3, -5, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*t = -17*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -1088.49 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60*s**3 - 3*s**3 + 4*s**3.\nAnswer: 61*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -295 - 95b?\nAnswer: -bf0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/19, -395, 3\/8, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 7522, 1837 in descending order.\nAnswer: 7522, 1837, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 148 + -141. What is the lowest common multiple of z and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371707 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(114)*-1)\/sqrt(6) - sqrt(228)\/(sqrt(12) - (sqrt(12)*-3 + sqrt(12))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = h + 4*l, -4*l = 5*h - 8*l - 8. Suppose h*j = 5*m + 33, 3*j - 27 = 4*m - m. Solve -4*x = -2*t - 16, -4*t - j = 5*x - 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 871.37 rounded to the nearest 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 805*s**2\/3 - 746995*s\/3 - 13920.\nAnswer: 5*(s - 928)*(161*s + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 1 - 4*c + c + 0*c - c + 0*c + 6*c**2. Let d(q) = -q**2 + q + 1. Give 4*d(m) + j(m).\nAnswer: 2*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 3*q**3 - 3*q**2 + 6*q - 6. Is 27 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -253 + 456. Let u = 255.1 - q. Let l = 52 - u. Which is the smallest value? (a) -0.05 (b) -0.4 (c) l (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -5 - 2 - 8*r**2 + 5*r**3 + 5 - 4*r**3 + 14*r + 9*r in the form f*r**2 + p + o*r**3 + z*r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let s = -66213 + 5495561\/83. Let g = 4103\/1660 + s. Find the common denominator of g and 1 + -1 + (-231)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 1\/2. Let j be (2 - 1)*(-7)\/(7\/(-13)). Let f(q) = -q**3 + 12*q**2 + 10*q + 39. Let k be f(j). Is k at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -810052.77 rounded to the nearest one thousand?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Convert -2011211120220 (base 3) to base 15.\nAnswer: -17d206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 - n + 50. Let x be v(0). Calculate the highest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeccxcxcecccex. Give prob of picking 1 c, 1 e, and 1 x.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 + -2. Suppose a*k - 104 - 86 = h, k - 3*h - 58 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**0*(t\/t**6)\/t)**(-8\/17) assuming t is positive.\nAnswer: t**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 24 = -0*p. Suppose 0 = -10*a + 18*a - 32. What is the highest common factor of p and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 - 6*k**2 + 7*k + 14. Let z be r(-4). Let n = z - -119. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2 = 2*h, -5*h - 4*v + 36 = -h. Solve 5*q + 10 = -4*d, -5*q - 3*d = -2*d - h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -11\/2 != 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.4 and -74644470?\nAnswer: 74644469.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -2923*c**2. Let h(j) = -3*j**2. What is t(h(v))?\nAnswer: -26307*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 7 + 1)*((-3*i + 2*i + 0*i)*(-1 + 1 - i**4) - 6*i**5 + 3*i**5 + i**5).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/((n\/(n\/(n*((n**(1\/2)\/n)\/n)\/n*n)))\/n)*n)\/n**2)**(-36)\/((n\/(n\/((n**(1\/3)\/n)\/n))*n)**(-36)\/(n\/(n**(-3)\/n)*n\/(n*n**(-1\/2)))) assuming n is positive.\nAnswer: n**(-217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 111120210 (base 3) in base 12?\nAnswer: 5893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 51\/2 (c) -3\/5 (d) -2\/21 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract -11375663 from -55408993.\nAnswer: -44033330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17 + 11. What is the remainder when 94 is divided by (38\/z)\/(6\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6377, -6325, -6217, -6053, -5833?\nAnswer: -5557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**2 + 5*b. Let n = 2 - 4. Let l = -3 + n. Let q be t(l). Solve 3*c = r - 14, q = 2*r - c + 2*c - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.6 - -1.2. What is the third smallest value in q, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2 - 10*c - 77. Give t(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 3437885 = -m, 340*m - 338*m + 1718944 = 2*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1519\/39 in -2\/69, -2\/13, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 115544.01327 rounded to the nearest 100?\nAnswer: 115500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1202, -3468, -8138, -12808, -17478, -22148?\nAnswer: -26818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 60 + -43 + -22 - -53.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -833846 divided by -4934.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes after 11:04 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14\/45 - 1\/45. Are -1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the second derivative of i**9\/3780 - i**8\/6720 - i**7\/630 + i**6\/720 - i**4\/4 - 3*i. Let a(h) be the third derivative of m(h). Factor a(x).\nAnswer: x*(x - 1)*(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by (10 - 92\/16)\/(2\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -3, -2\/9, 35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 97324 - 97324 - 775*g + (-3*g - 3*g + 4*g)*(-2 + 2 + 2).\nAnswer: -779*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 2 + 7. Which is the nearest to 2\/5? (a) -4\/3 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -542*l**3 - 2753*l**3 + 669*l**3.\nAnswer: -2626*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 170 = -5*v, -11 + 1 = 5*v. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 17\/((-952)\/368).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -274 divided by 1?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -110000000110011100 (base 2) in base 12?\nAnswer: -96024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -40.26 + 32.26. Let j = 4.5 - 0.5. What is the biggest value in j, c, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 11*d + 71 = 0, 4*d = -311664*r + 311663*r + 11 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*z + j, 5*z + 24 = -0*z + j. Let n be z\/10 + (-36)\/(-40). Let n*r**2 + 0 + 0*r + 1\/2*r**4 - r**3 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*d = 2*s + 49*d - 12, -3*d - 2 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 447*r + 1794 - 457*r - 1833.\nAnswer: -10*r - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.39 times -0.7\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 149 = 17. Let d(a) = -a + 12. Calculate the remainder when o is divided by d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*t + 19*t. Suppose -5*g = 5*q - 42 - 13, -2*q + 3*g + 7 = t. Suppose -13*m + 11*m = -q. Calculate the lowest common multiple of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1, 2\/15, 24\/11, -1690\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1881 - 45*n + 100*n - 49*n.\nAnswer: 6*n - 1881","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -29.21202 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (4\/13)\/((-436)\/(-11336))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 4*f**2 + 12*f + 11. Let a be l(-5). Let z = 53 - a. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 2*l - 1 = 3*r, 5*l = -3*r + 13. Suppose h - 1 - r = 0. Let x be 0\/h - (1 - 3). Solve -o = -x, -3*g - 4*o - 2 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l + 5*k = -3*l - 23, -3*k - 15 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 107*j + 254 = 80*j - 43. Let d(g) = -17*g**3 + 2*g**2 + 5*g + 11. Let l(f) = 9*f**3 - f**2 - 3*f - 6. What is j*l(q) - 6*d(q)?\nAnswer: 3*q**3 - q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 103 - 103 + 3*d**5 + (5*d - d - 2*d)*(-3*d + 3*d + d**4).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from ninn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1582 (base 10) to base 13\nAnswer: -949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49004, -49057, -49110?\nAnswer: -49163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 3*i + 75 + 264, 5*u - 422 = 2*i. What is the remainder when u is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 5*b = -440, -2*b - 3*b + 224 = 3*v. Let k(c) = 247*c**3 - 4*c**2 - 417*c + 418. Calculate the remainder when k(1) is divided by v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - j - 290 = 0, -232 = 4*c + j + j. Let k be c\/(-10) + (-5)\/(-25). Suppose 6 = 3*z - k. Let m(l) = -l**3 + 3*l**2 + 5*l + 1. What is m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 5*d. Let q(k) = -9*k + 56000. Give z(q(n)).\nAnswer: -45*n + 280000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 1803*k - 2. Let o be y(3). Let p = -858877957\/30 + 28634667. Let j = p - o. Find the common denominator of 55\/27 and j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 262699714.\nAnswer: 2, 139, 944963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 215 + -75. Let q be (0 + 23)\/((28\/(-20))\/7). Let c = f + q. What is the greatest common divisor of 225 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from gguggugguggguggguug.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*p + 4 - 4 + (-4*p + 6*p + 0*p)*(2 - 3 + 3) + p - 3*p + 0*p + 34 - 34 - 15*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -10. Let j be h*(1 + 6\/4). What is the third derivative of -2*b**2 + 2*b**j - 4*b**2 + 0*b**2 - b**5 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 1\/3, -12\/7, -1\/2, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3528 = 421*w - 457*w. Suppose 3*t = 291 + 1056. Suppose 547 - w = x + 3*s, -t = -x - 2*s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - (-11 - 5026\/(-294)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - 37bb2?\nAnswer: -37baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 118878838 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of -38*h**7\/7 + h**6\/3 + 95*h**3\/3 - 3. What is the third derivative of t(d) wrt d?\nAnswer: -4560*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 23 (base 4) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000264807 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (808 - 80*y - 808)*(y - 2*y + 2*y)*((2 + 1 - 1)*(-4 + 3 - 1) + 4 + 2 - 3)*(-1 + 5 - 2) to j + p*y**2 + o*y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in -1\/2, -42\/5, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a**3 + 2*a**2 + 5*a + 3. Let n be s(-3). Suppose 5*t + 736 = 2*f, f + 302 = -2*t - 2*f. What is the common denominator of (3\/n)\/((-2)\/t) and 46\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-150)\/(-54) - 4\/(-18). Suppose -1 + b = m. Let j be 3\/m + (-1)\/2. Which is smaller: j or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 269 minutes before 7:20 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2 + 8*f + 6. Let v be r(-6). Let y(x) = x**3 + 5*x**2 - 8*x - 8. Let n be y(v). Suppose -21 = -n*h + 35. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -232153\/105 - -2211. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of -6*y**2 - 182 - 27 - 38 + y. Let a(t) = 3*t. What is a(w(i))?\nAnswer: -36*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a + 1. Let k be i(-4). Let t be (-8)\/(-2)*k\/(-6). Suppose -31 = -t*y + 209. Round y to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -842 - -9279\/11. Let y be (6 - 4 - -2) + 4. What is the common denominator of (0 - 3\/y)*(-212)\/(-12) and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/6*(6\/(-4))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 92\/115*(-2)\/(8\/(-210)). Suppose t*f - 37*f + 1470 = 0. Find the common denominator of 97\/18 and ((-30)\/16)\/(f\/120 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1031904300 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14 + 14. Solve -h + k = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -0.2, -0.33, -1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -102 + 100. Let k be -3*(-1)\/1 + l + 3. Solve -y + 22 = k*w - 4*y, -y + 2 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1191087397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*r**3 + 6*r**3 - 6*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together 1602 and -0.3.\nAnswer: 1601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -2*y - 48008 + 115686, 0 = -o + 3*y + 33819. Is 197 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) 21 (c) 6 (d) 7\/6 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -983*n - 1097 + 2742 + 982*n - 818 - 827.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1812, 4827, 9052, 14493, 21156, 29047, 38172, 48537?\nAnswer: 60148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 352635 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.2377 - -47.1423. Let r = -47 + i. Let s = r + -3.38. Put s, -0.07, 0.4 in increasing order.\nAnswer: s, -0.07, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 129 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**2 + q + 1. Let f(g) = 2*g**2 + 3*g + 2. Let b = 6 + -9. Give b*y(i) + f(i).\nAnswer: 5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9 - -23 - 16) + 0 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 11136\/(-406)*3\/(18\/(-21)). Solve 23*d - a = 7*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**2 - 9*w + 2. Let z be o(-9). Suppose -2*m + 8 = 5*t - 11, -z*t + 4 = -m. Let h(k) = 0*k**3 - 5*k**2 + 6*k**2 - 1 - 2*k**t. What is h(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 5*c - 42119996, -c - 21059996 = -2*t + c. Let x be t\/(-39) + (-4)\/26. Round x to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 76888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -154 - -202. What is the highest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 40215.6520079 - 40215.8. Let j = z + 0.148. Round j to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 784 = -32*u + 1264 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 135 + 0 - (0 + 3). Let n = -918 - -786. Let m = n + z. What is the third smallest value in m, -3, -4\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 - 0)*(12\/(-48))\/(-1). Solve 4*q + w - 21 = 0, -8*q + 12*q + 5*w - 25 = t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g + 220. Let z be m(0). What is the highest common factor of z and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -48, -30, -20, -12, 0?\n\"Answer: o**3 - 10*o**2 + 41*o - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/((-252)\/27)*2\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 PM and 7:04 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.27 - 0.03. Let t = 0.31 + -0.58. Let o = t - -0.47. Put j, 0.5, o in ascending order.\nAnswer: j, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lwwwwwwwwwwwl. What is prob of picking 1 w and 2 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.48 and -38.47?\nAnswer: 18.4656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 0.143.\nAnswer: -0.0572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5403913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -28*r**3 + 5*r**2 - 3*r. Let w(d) = -86*d**3 + 14*d**2 - 8*d. Calculate 14*m(h) - 5*w(h).\nAnswer: 38*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0011716167 rounded to six dps?\nAnswer: -0.001172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13 + -9. Factor -6*g - 8 + 5*g**2 - 2*g + g**2 + 8*g**3 + 0*g**u + 2*g**4.\nAnswer: 2*(g - 1)*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/4 in -4, 1\/10, -37327?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 4) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 93701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 390270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8261\/13 - -635. Which is the closest to d? (a) 1\/2 (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1346 = -9*x + 3*h + 1412, -5*h - 14 = x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 2*v**2 + 21*v - 469. Let y be k(11). Let c(p) = -3*p - 6. Determine c(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -176.918*-0.06.\nAnswer: 10.61508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -408 = j - b - 2009, -15 = 3*b. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 25254 and 98398002.\nAnswer: 295194006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - (-10 + 17 - 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10 - 6. Suppose 0 = 5*h - q*h + 25. Let y be (h\/(-20))\/(1\/4). Solve 4*c - a - 3 = 5*c, 2*a + y = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of 3*f**5\/5 - 23*f**4\/2 + 32*f**3 - 33*f**2 + 13*f + 2983. Find d such that k(d) = 0.\nAnswer: 1\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-nine thirds of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ozllfaz. Give prob of picking 1 f, 1 z, and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes after 1:39 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q + 1. Let z(h) = 2*h**2 - 2*h - 5. What is 4*j(o) + z(o)?\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46 + 24 + 379*r**2 + 73*r - 378*r**2 + 22.\nAnswer: r**2 + 73*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14933?\nAnswer: 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1, 7, 31, 77, 151, 259, 407, 601?\n\"Answer: i**3 + 2*i**2 - 5*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -2*j - 4*j. Let r be 2 - 0 - 1\/(j\/84). Suppose 4*x = s - 52, -r - 42 = -4*s - 4*x. What is the greatest common divisor of 90 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/2, 0.4, -1675, 0.1, 1\/4, 4.1 in descending order.\nAnswer: 4.1, 5\/2, 0.4, 1\/4, 0.1, -1675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 563 is divided by 236?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18454562?\nAnswer: 2, 7, 1318183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 3\/2 (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/19 (b) 55 (c) 48 (d) -0.7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qvevqqqn. What is prob of sequence vn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 258 - 2*g - 126 + 390 - 17*g**2 + 2*g.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*w - 3 + 3)*(-2*w + 12 - 12) - 3*w + 3*w + 2 - 3*w**2 as c + i*w + f*w**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 AM and 6:03 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -61, -53, -37, -13, 19, 59?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 307a95 (base 14) in base 4?\nAnswer: 12033013103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1230 and 316920.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, -2, 267158?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 - 17*f + 36. Let q be n(28). Let h = -433 + q. Which is greater: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9*g**3*i**2 + g**3 - 277*g**2*i**2 - 8*g**2*i - 2*i**2 - 179 wrt i.\nAnswer: -18*g**3 - 554*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 47300287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2606*j**2 - 4*j - 3707*j**2 + 4*j to m + c*j + l*j**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 + 3*k - 2. Suppose -56 = -0*v - v. Suppose 6*s = 4*s - v. Let c be 6\/9 + s\/6. What is j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -75, -139, -219, -315, -427, -555, -699?\n\"Answer: -8*m**2 - 40*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -0*v - 15. Let j = -4 - -8. Suppose j*u = -0*u + 12. Calculate the highest common factor of v and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -100.7?\nAnswer: -10.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 96486, 96571, 96656, 96741?\nAnswer: 96826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27744, 112834, 254646, 453180, 708436, 1020414?\nAnswer: 1389114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -41\/5 <= -7967244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 2*g + 37 = 2*y, -3*g + 3 = 0. Let k = 20 + 4. Suppose d - k = -d. Calculate the least common multiple of d and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:48 PM and 9:49 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:09 AM and 4:25 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -678 - -680. Solve 0 = 5*j + 4*z + q, -2*j + 2*z = 5*z - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1582 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 77 + 102. List the prime factors of s.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-7)\/126)\/((-3)\/(-12)). Which is the smallest value? (a) -0.1 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2*v + 14. Let l be i(0). What is the third derivative of -l*h**6 + 32*h**6 - 11*h**2 - 11*h**2 + 4*h**6 wrt h?\nAnswer: 2640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 140*q - 86*q - 1438 + 466 = 0. Solve 23*c = q*c - 40 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 5 - 5*t**2 - 5 + (-4*t - 2*t + 3*t)*(-2*t + 5*t + 3*t).\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 16, z: 4}. Give prob of sequence yyz.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -42.85 + 42. Let u = z + 9.05. Let n = u - 1.3. Round n to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(1\/4)*s)\/s)\/s)\/s**23 assuming s is positive.\nAnswer: s**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (17 - 11 - 3) + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1718136580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + -23b7?\nAnswer: -23b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 6}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8.5 - -8. Which is the biggest value? (a) -0.1 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1976215 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16677)\/(-654)*(-80)\/24?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7453309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 1397*d - 375794. Determine m(269).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(88) - (-3*(sqrt(88)*3 - sqrt(88)) - sqrt(88))))\/((5*2*sqrt(14))\/(sqrt(28) + sqrt(252))).\nAnswer: -128*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6\/1769 - -88504\/15921. Let h(w) = -w**2 + 12*w + 13. Suppose -11*q + 8*q + 30 = 0. What is the common denominator of h(q) and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*j + 122*j = 189*j + 860 - 2950 for j.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -3*(sqrt(68) + 1 + 5)**2 + (sqrt(68)\/(sqrt(8)\/sqrt(2))*2 + 5)*3.\nAnswer: -299 - 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 63239047531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 - 12*n**2 + 20*n + 2. What is the hundreds digit of a(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*x - 331*r + 335*r - 1, 2*x = -x + 314*r + 619 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 64120765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25 is divided by (-2)\/(-1) - -2 - (6 + -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the second derivative of 3\/20*a**5 - 1\/30*a**6 + 0*a**2 + 2*a + 1\/12*a**4 + 0 - 1\/14*a**7 + 0*a**3. Find o, given that r(o) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 - 220 = -2*l. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 18305368*j**2 + 2043*j - 280*j - 18305375*j**2 in the form d*j + k + b*j**2 and give d.\nAnswer: 1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -103, -345, -747, -1309, -2031, -2913?\n\"Answer: -80*i**2 - 2*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2122 (base 4) in base 8?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8\/3 in 2, 0.1, -4\/3, 3, 6671?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*l + 143*l = 13 + 923 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 251899252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 225\/(-54) + 8\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(36)\/sqrt(2) - (-1 + sqrt(18))**2*-3.\nAnswer: -15*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.32 and 763107962093.\nAnswer: 763107962092.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -44 (base 8) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1524 and 117197886?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -88683*x**5 + 4*x - 6732.\nAnswer: -1773660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 72.553 - 72.2. Let u = c - -0.147. Which is smaller: u or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s + 1068 = -417. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/45 of a week in seconds?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -30406.2, -5, 17.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 PM and 10:50 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 14 + -7 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 2*s - 4085 = 0. Let z = 6655 + s. Let r = 85162 + z. What is r rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -1 + -2*sqrt(72)*4*-2)**2*-3.\nAnswer: -55299 + 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 149 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 28 - 24. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -465*a*i*z - 41*a*i + 684*a - 47*i*z + 636*z with respect to i.\nAnswer: -465*a*z - 41*a - 47*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -147239+-1472389\nAnswer: -1619628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -4*s + 12394*s**2 - 545*s**3 - 12393*s**2 + 6*s in the form h*s**3 + q*s**2 + d + z*s and give h.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (30 - (-24 - 47)) + -27\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 924.8437 centuries to millennia.\nAnswer: 92.48437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -520 + 507 - (2 - 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, 2\/7, -2\/7, -3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**1)**(-4)*j*j*j*j*j**2*j*j\/j**(-2\/27))**(-23) assuming j is positive.\nAnswer: j**(-2530\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 54.56193 weeks to microseconds.\nAnswer: 32999055264000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -14748300 to the nearest ten thousand.\nAnswer: -14750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - -6*(sqrt(117) - (sqrt(117)*-1 - sqrt(117)))) - (-4 + 0 + sqrt(117)) - 4*-2*sqrt(117)*6)*-2)**2 + 2.\nAnswer: 6432*sqrt(13) + 2100918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5271 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2113 - -3?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 - 20. Let o = 187174.0499998 + -187171.05. Let i = m - o. Round i to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -302*h**2 + 5881*h + 3179. Determine f(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 8 less than -1.238?\nAnswer: -9.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1360445?\nAnswer: 5, 241, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -56133, -52543, -48953, -45363?\n\"Answer: 3590*f - 59723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of 317*x**2 - 1\/20*x**5 + 0*x + 0*x**3 - 51\/40*x**6 - 2\/3*x**4 + 0. What is the third derivative of q(m) wrt m?\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 3 x when four letters picked without replacement from pmpwxwwwwmwwxmwuxw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(847) + 0 - (sqrt(252) - (5 + sqrt(252) + 1))**2.\nAnswer: -36 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2199 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, f: 1, x: 1, o: 2}. Give prob of sequence ofo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5.405 + -2.01. Let r = i - 3.3. Let n = 0.09583 - r. What is n rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2351912832 to the power of 1\/2, to the nearest integer?\nAnswer: 48497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 236025998 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**3 + 24*p**2 + 128*p - 3. Determine x(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 4, -26, -4.\nAnswer: -26, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 11388791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add -1.0664 and -0.1.\nAnswer: -1.1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q - 3*q - 3*q)*(-972*q**2 + 60*q**2 - 472*q**2 + 12439*q - 12439*q).\nAnswer: 4152*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 31 divided by -1256821?\nAnswer: -31\/1256821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.12 + -0.28. Let m = w + 5. Put m, -0.5, 5 in decreasing order.\nAnswer: 5, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 55*h + 58*h - 7*h + 90 = -0*m, -h + 13 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -y + 5. Let i(u) = u + 7. Let t be i(-5). Suppose 0 = -5*c + l + y*l + 162, 112 = 4*c + t*l. What is the remainder when c is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.07081 or -994?\nAnswer: -994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40798 is divided by 237.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - -9) + -4 + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**2 + 5*x + 4. Suppose -3*c = 5*l - c - 31, 2*l - 1 = 3*c. What is the lowest common multiple of 2 and m(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5788\/11 - 526. Put -8, 3\/7, 0.5, p in decreasing order.\nAnswer: 0.5, 3\/7, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - x + 31 = -2*s, -2*s + 2*x - 14 = 0. Let t be (-8)\/4 - s\/5. Which is the second biggest value? (a) 11 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 + 5*r**2 - 7*r + 30. Let k be d(-9). Let n be (343\/k + 4\/(-22))*-3. Solve -3*u = -2*z - 15, -n = -2*z - 0*u - u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20 - -49 - 16) + (-7 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 318485 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:01 PM and 10:57 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 3*k - 7. Let j be q(5). Let d = -14 + 34. Let u be d\/(-25)*15\/22. What is the closest to -1 in -1\/3, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -67010.75482 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.106 and 3346.\nAnswer: -354.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -4 + (7 - 0 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 17\/3 + (-508)\/(-381). Solve -2*n = 10, 4*q = -n + 8 + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104976 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2350374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2274861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 79998.42ml in litres?\nAnswer: 79.99842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 51840077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 9. Let g be (18\/8)\/(1\/z). What is the units digit of (-9)\/(g\/(-10)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 - 9 - 24)*(-2 + 4 - 3) - 4 - 4 + 6)*(2*y + y + 3*y).\nAnswer: 198*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5c - -1?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -124.5158 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -20781 - -20953. Calculate the highest common factor of 68 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the first derivative of -102 + 1\/3*r**3 + 11\/2*r**2 - 26*r. Factor v(a).\nAnswer: (a - 2)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*t + 2*t - 6. Suppose 2*j = -8, 2*f - 1048 = -2*f - t*j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 807880.\nAnswer: 2, 5, 19, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 14 - -80. What are the prime factors of y?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*p - 10, x + 10 = -0*p + 4*p. Let d(w) = w - 178 + 178 - 6*w. What is the remainder when 118 is divided by d(x)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 129.\nAnswer: 4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/(-6))\/((-4)\/24). Put m, 9\/40, -0.5 in descending order.\nAnswer: 9\/40, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 6\/(-4)*(-2 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 - 0. Let y = 0.8 + -0.5. Which is the nearest to 2? (a) 2 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -4 (b) 1\/29 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3*(2 - (-15)\/(-9)). Which is the nearest to -1\/3? (a) 4 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*z = 24*z - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 132 and 110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 66 + 12. Calculate the highest common factor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 659278.\nAnswer: 2, 329639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (7 - 4) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -118 + 115.58. Let q = l + 0.02. Round q to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of 3*j**2 - 3*j - 1. Let a be v(1). Factor -28 - a*s**2 + 28 - 2*s - 3*s**4 + 4*s**4.\nAnswer: s*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15, 14, -7, -48, -109?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1324 is divided by 249?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 212 - 20 = 0. Let d = -36 + m. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -13*x - 13. Let l(i) be the first derivative of -i**3 - 3*i**2\/2 - 6*i - 8. Let q be l(-2). Is n(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - s = -12, 7*m + 8 = 6*m + 3*s. Is 11\/10 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*t - t + 3*t + (0*t - 23 - 9*t + 7*t)*(-1 - 2 + 2).\nAnswer: -4*t + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -5*r + 13, r + 4*r = 4*q - 11. Let w be -2 - (-1)\/r - 3. Let m be ((-9)\/3)\/3*w. Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 330 and 189992?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -468*(0 + 2)\/((272\/289)\/(-4)) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 1132750, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i + z + 17 = 0, -2*i - 83*z - 2 = -81*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 35 = -15. Suppose -k*b + 4596 = 7*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/(-126)*30\/(-14)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/20 + 62444\/20. Suppose -o - o + h = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -43*r**2 - 3*r - 2. Give x(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 402433 = -5*c - 16997, -2*f + c = -167777. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*d = -11*d + 33842. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2*b = 26, -3*v = -b - 6 - 12. Let i = -18 - -28. Let c = i - v. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 AM and 3:02 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4.6 or 31?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 39 and 21229.\nAnswer: 63687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 118567 = -5343*t - 3910*t + 544205 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 - 4*p**2 + p + 4. Let h be q(-4). Which is smaller: h or -13\/30?\nAnswer: -13\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -44*0.04\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 24397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, k: 1, o: 2, p: 1, d: 1, m: 1}. Give prob of picking 1 e, 1 m, 1 o, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -11.35113071158 + 2\nAnswer: -9.35113071158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 70177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 146560598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + x - 5*p = 15, 0 = x + 4*p + 12. Let l be x + 2 + (-4)\/(-4). Factor -99*z - 4 + 93*z - z**l + 3*z**3.\nAnswer: 2*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(-1\/5))**11)**34)**(-4\/3) assuming z is positive.\nAnswer: z**(1496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 - 4*p - 4. Let q(j) = 2*j**2 - j - 1. Let t be q(2). Let r be a(t). Solve -k - r - 3 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 32 + -95\/3. Let t = -0.3 - -0.2. What is the closest to a in 1\/2, t, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 41756 and 132?\nAnswer: 125268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (w - 5*w - w)*(-1 - 2 - 8)*(w + 5*w - 4*w)*(-8*w**2 + 13*w**2 + 14*w**2).\nAnswer: 2090*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 2 (b) -0.3 (c) 1.8 (d) 1\/5 (e) 10706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -4 + 4 + 213*h - 242*h. Let o(p) = -6*p**2. Determine f(o(z)).\nAnswer: 174*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -145 - -be?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-2\/5))**(-39))**34\/((h*(h\/(h\/(h*h**(3\/2))))\/h)\/(h**(-2)*h)*h**4*h*h\/(h*h**(-1\/5))*h*h) assuming h is positive.\nAnswer: h**(-8063\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(160) + sqrt(160)*2*-6 + sqrt(160) + sqrt(160))\/sqrt(8) + 5*(sqrt(80) + -1 + sqrt(80) + -1)**2.\nAnswer: -178*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24 - -22 - -4 - (-6 - -30)) + 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 14*t**2 + 5*t - 8. Let h be d(2). Suppose -u + 2*c - 1 + 7 = 0, -3*u - 2*c = -h. Find the third derivative of -u - 5*n**2 + 5*n**3 + 16 wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 - 19. Let p = -0.894 + 0.894. What is the second biggest value in p, 1.2, 3\/2, o?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 11756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 11697 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12472 = 156*q - 203 - 143309. What is the least common multiple of q and 945?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1454 - -1453. Sort a, -371, 5 in increasing order.\nAnswer: -371, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -6*f**3 + f**2 + 66*f + 1. Let l(p) = -5*p**3 + 3*p**2 + 69*p + 1. Give -2*l(q) + 3*o(q).\nAnswer: -8*q**3 - 3*q**2 + 60*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 259 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*d - 49264 = -47479 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fytlg. What is prob of sequence lf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 168 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z = -2*s - 156, 2*z + 1372 = -4*s + 1282 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b + 39. Give x(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24391442 = 254*k + 24*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 8 (b) -1\/3 (c) -1\/2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 671 - 727. Let f = 15 - 68. Let u = f - j. Put 0.1, -0.3, u in decreasing order.\nAnswer: u, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4780000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 1:40 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 565 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -12*u**2 + 3*u - 3. Let m be (2\/4 - 1)*-4. Let x be d(m). Let v = -31 - x. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, n: 9}. What is prob of picking 4 n?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7b - 1ac380?\nAnswer: -1ac42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - 0*(-7 - -15)\/8)\/5. Which is the fourth smallest value? (a) n (b) -5 (c) 2 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8682 or 8681?\nAnswer: 8682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 25*s**2 + 18*s + 18. Let f be l(-1). Suppose 0 = -9*g + 4*g - 80. Let u = f + g. What is the least common multiple of u and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of 3*r**5\/20 + 7*r**4\/12 - 7*r**3\/6 + 5*r. Let u(l) = l**3 + 2*l**2 - 2*l. Calculate 2*t(h) - 7*u(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -491 - -1560. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 5*d - 35, -2*d + w = -6*d + 28. Find the first derivative of 8 - 5 + d + 7 + 13*u**4 wrt u.\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 + 6*v + 6. Calculate the smallest common multiple of 8 and i(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -7*k**2. Let y(a) = 683*a + 1. Determine c(y(f)).\nAnswer: -3265423*f**2 - 9562*f - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 22 = 2*h + 26, -3477 = 4*y + h - 3458 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1704 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 15 and 27199.216.\nAnswer: 407988.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -182379*o*r**5 + 4143*o*r**2 + 2*o*r + o + r**6 wrt r?\nAnswer: -10942740*o*r**2 + 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1098 is divided by 73.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w + 5*z - 52 = 0, 0 = -2778*w + 2775*w - 2*z + 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3249*c**3*k - 938*k wrt c?\nAnswer: 9747*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -15 - -25 - -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 6:58 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 9*u**3 - u - 63. Let z(g) = 2*g**3 - g + 1. Let k(t) = -q(t) + z(t). What is the first derivative of k(l) wrt l?\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55493105 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: What is next in -47454, -94916, -142378, -189840, -237302, -284764?\nAnswer: -332226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.3377 - 0.337710815. Round a to seven dps.\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 2*a = -5*a - 184, 4*a = -j - 59. Let d = -93 - j. Is (d\/(-15))\/(2\/21) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-3)\/v)**33)**(3\/22)\/((v\/((v**(-8)\/v*v)\/v)*(v*v**(-3\/4)*v)\/v)\/(v**(-4\/5)*v*v*v\/v**(-4))) assuming v is positive.\nAnswer: v**(-441\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53 is divided by 159\/9 + (-32)\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of 31*d**4\/12 + 19*d. Let k(l) = -2*l. Give g(k(y)).\nAnswer: 124*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 1009 = -2*l, -5*l + 1032 = 5*v + 17. Suppose -2*r - v = -p - 6*r, -369 = -2*p + 3*r. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w + 3*w - 3*o = 9, 0 = -3*w - 4*o - 1. Let d be -5 + (-3 - (w - 5)). Solve -2*g = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 521 = -3*v + 5*w, -5*v - 1245 = w. What is the remainder when 51 is divided by (-36)\/(-126) - v\/14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2666260.6 less than -2.5?\nAnswer: -2666263.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p = 3*p + 159. Suppose -3*y - p = -50. Let j = 8\/11 - 207\/209. Do j and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -57*k - 98. Let c be p(-8). Calculate the highest common factor of 1611 and c.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the first derivative of 33*c**5\/40 - 3*c**4\/16 - 33*c**3\/8 - 3*c**2 + 3*c\/2 + 253. Solve n(r) = 0 for r.\nAnswer: -1, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 - 7*v - 2. Let p be l(-6). Suppose -3*g = -13 + p. Solve -k - 20 = g*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6427 - -6265.05. Let f = -162 - d. Which is the third smallest value? (a) f (b) -2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*a + 10 - 5*a + 3*a as x*a + p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 + -4. Let s = -0.3 - -0.1. Let r = 0.3 - s. Put v, -3\/4, r in increasing order.\nAnswer: v, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 - 14*h + 62. Let j be k(20). Which is smaller: 183 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 28585 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 4*x + 7 + 21 = 0, -5*n + 2*x = -46. Let r = -1 + n. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -12888, -25897, -38960, -52077, -65248, -78473, -91752?\n\"Answer: -27*x**2 - 12928*x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 45*a**3 + 300*a**2 - 640*a - 5120.\nAnswer: 5*(a - 4)*(3*a + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: ((1\/7)\/(-1))\/(437\/(-3059))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41632 + 1546*p**2 + 20814 - 2*p + 20820.\nAnswer: 1546*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1010 divided by -5.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -4*p + 17. Give q(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.3 - 3.1. Which is the nearest to 0.09? (a) -4 (b) q (c) -1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 4 + 3)*(2 - 4 + 6)*(-1 + 3 - 1)*(1 + 4*x - 1)*(-1 + 0 - 1) as h + a*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1482 a factor of 743099994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3 (b) -4\/11 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -42.818, -0.08 in increasing order.\nAnswer: -42.818, -0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c = 94*c - 2083000. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - (1 - 1)) + (2 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/8*4\/5. Sort -0.07, u, -1\/2 in ascending order.\nAnswer: -1\/2, -0.07, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the third derivative of -u**8\/1512 + 2*u**7\/315 + 59*u**6\/540 + 8*u**5\/15 + 35*u**4\/27 + 16*u**3\/9 - 636*u**2. Suppose z(l) = 0. Calculate l.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.983 + -0.083. Let i = -0.9 + j. Let s = 4 - i. Which is the closest to s? (a) 0.5 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*u - 40 = -2*o, 3*u - 14*o = -18*o + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*t**3 - 10*t**3 - 14*t**3 + (0*t**2 + 3*t**2 - 2*t**2)*(0 + t + 0) - 5*t**3 - 5*t + 5*t to the form h*t + c + g*t**2 + j*t**3 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 53.02 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 4*v + 5. Let y be u(13). Suppose -y = -2*l - l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6*((-8)\/6 + 2). Suppose -q*k - 3 - 1 = 0. Is 7 a factor of (k\/2)\/(2\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.039 + 0.019. Let i = -7.6 + 8.6. What is the smallest value in -1, d, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -623662 to the nearest 100.\nAnswer: -623700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 2*r**2 + 1536*r + 167793. Give b(-132).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 988*u = 984*u - 5*g + 53, -49 = -4*u - g for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -5426.07 to the nearest 10.\nAnswer: -5430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the first derivative of -3*x - 8 - 9\/2*x**2. What is the units digit of u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x**3 - 27*x**2 + 16*x - 120. Let a be n(-28). Let -186*t**3 - 69 + 180*t**2 + a*t - 27 + 9*t**4 + 15*t**5 - 48*t**2 = 0. Calculate t.\nAnswer: -4, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1348 and 664.\nAnswer: 223768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-32)\/(-112) + (7 + -6)*(-33)\/(-7). Solve 0 = -4*v + 20, -w*v + 29 + 0 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 - 4*f**2 + f - 1. Let p be m(4). Suppose -6*a + 4*b + 187 = -p*a, -a + 5*b + 77 = 0. Suppose -2*n + a = n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the first derivative of 1\/4*s**4 + 0*s - 1\/3*s**3 - 1\/15*s**5 + 3\/2*s**2 - 1. Let k(n) be the second derivative of c(n). What is o in k(o) = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v**2 + 0*v**2 - 2*v**2)*(5*v - 5*v + 10*v + (2 - 2 + 2*v)*(-3 + 0 + 1)).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 233026000 rounded to the nearest one million?\nAnswer: 233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 85713 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -4 and 113.0335.\nAnswer: 109.0335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/((w\/w**(-24))\/w*w)*w)\/(w*w*w\/w**(4\/11)*w*w)*((w*w*w*(w*w*w**(-3\/13))\/w*w)\/w)**(-3\/28) assuming w is positive.\nAnswer: w**(-16039\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 16779937 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -2.45633 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 26 - 24. Which is the third biggest value? (a) 4\/3 (b) 4\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 1 - 17 = -5*d, -4*d = -16. Let l(u) = 2*u**2 + 2*u - 1. Let z be l(y). What is the second derivative of -2*o**4 + 2*o**3 + 3*o - 2*o**z wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -42 + 43. Let v(n) = 4*n**3. Determine v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -2*c**4\/5 + 6*c**3\/5 + 2*c**2\/5 - 6*c\/5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -39 - -51. Let r be (a\/3 - 3)*(-4240000 + 0). What is r rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30079?\nAnswer: 7, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 40429*a - 40687*a = -10320 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:25 AM and 3:38 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 69307345 to the power of 1\/2, to the nearest integer?\nAnswer: 8325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) -3\/4105 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.01 + 0.09. Let w = 0.3 + g. Let f = -2 + 6. Which is the second biggest value? (a) 3\/2 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/378 and -17\/30.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 4, -0.3, -3, -2\/19, 0.05.\nAnswer: -3, -0.3, -2\/19, 0.05, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -827, -3303, -7429, -13205?\n\"Answer: -825*p**2 - p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1244, -2920, -5750, -9740, -14896, -21224?\n\"Answer: -z**3 - 571*z**2 + 44*z - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 732506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v + 12. Does 7 divide r(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - 971?\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -364683, -364696, -364755, -364884, -365107, -365448?\n\"Answer: -4*m**3 + m**2 + 12*m - 364692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180) + sqrt(180) + sqrt(180)*1*-3 + (sqrt(30)\/(sqrt(18)\/sqrt(3)) - 1*sqrt(405)) + 2 + 3)*-5)**2.\nAnswer: -3500*sqrt(5) + 25125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-70*r + 36*r - 208*r)*(0 - 3 + 1)*(-r**2 - 1 + 2 - 2) to the form b*r**2 + a*r + j + h*r**3 and give a.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 4*75947.689\nAnswer: 303790.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the third derivative of 0*p - 1\/6*p**3 + 1\/60*p**5 - 5*p**2 + 1 + 1\/6*p**4. Suppose 0*n + 5*n - 4*x = -26, -6 = 5*n + x. Give z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*p + 205 = 63*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 75 = -h - 0*h, -4*h = q - 84. Suppose -207 + q = -5*g. What is the remainder when 34 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = -3*v - 16, v - 3*s - 17 = -29 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6139, -12278, -18417?\nAnswer: -24556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -13794, -27179, -40564?\n\"Answer: -13385*v - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**4 - c**2 + 0*c**2 - 3*c**4 - 2*c**4 + 0*c**4 + c**4 + (-c - 2*c + 2*c)*(-2*c**3 - c**3 + 5*c**3).\nAnswer: -6*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**3 + 9*r**2 - 6*r - 27. Determine g(9).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 53690 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 261 divide 20205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -3*c**4\/4 + 21609*c**3\/4 - 9736200*c**2 + 29160000*c = 0.\nAnswer: 0, 3, 3600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12364?\nAnswer: 2, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:29 AM and 11:56 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/((-21)\/2))\/(3*2\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 36*u + 2. Let n be f(-2). Suppose y + 4*p - 162 = p, -y = -5*p - 154. Let m = n + y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -54642 divided by -6\nAnswer: 9107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -454, -448, -430, -394, -334, -244, -118?\n\"Answer: y**3 - y - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45759\/5 + -9152. Let k = 3 + -3.1. Which is the nearest to k? (a) -2 (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 169, 9 in descending order.\nAnswer: 169, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 3\/2 (c) 2\/269 (d) -1\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -z + 574*g - 572*g + 11, 3*z - g - 68 = 0 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 37*g - 138*g - g**2 + 27*g + 10 + 27*g + 33*g. What is j(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o*o**(-10\/3)))\/o)\/o)\/(o\/(o*o\/o**(-8)))*(o**(1\/4))**(-35) assuming o is positive.\nAnswer: o**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (6 - 5 - (3 + -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (4 - 3)\/(6\/42) + 5616?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(1470)*2 - (sqrt(1470) + 2*sqrt(1470))*6)\/(sqrt(12)\/(sqrt(128) - (-1*sqrt(128) + sqrt(128)))*4).\nAnswer: -420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 33 and 1419?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 2*a**4\/9 + 6*a**3 - 96*a**2 + 312*a = 0.\nAnswer: -39, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5949143t to micrograms.\nAnswer: 594914300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-10)\/4*(-18)\/15. Let f be 28\/w - (-18)\/27. Solve y + f = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (14\/(-49)*(-16 - 6318\/(-72)))\/(2\/(-4))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 4*x**3 - x**2 - 3*x + 8. Let v be y(2). Let q = v + -35. What are the prime factors of 170 + (2 + -9 - q)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 158360927 is divided by 455?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*((sqrt(152) - sqrt(152)*-2) + sqrt(152)))\/(-3*sqrt(16)\/sqrt(2)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/(-10) - (4 + 42\/(-15)). Let f = 193\/20 - c. What is the common denominator of f and -39\/23?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 5*n**2 - 4*n + 2 - 6*n**2 + 0*n - 12. Let k(g) = -6*g**2 - 21*g - 49. Let o(y) = -2*k(y) + 11*x(y). Let p be o(5). Solve q + p - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 135.5 + -135. Let d = -0.018 + 11.018. What is the closest to 1 in 0.4, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -99 - -89. Let h = 6.92 + 0.08. Let o = b + h. Sort o, -5, -2\/9 in descending order.\nAnswer: -2\/9, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 158 - 157.07. Let u = a + -0.09. Let y = 0.84000101 - u. Round y to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -28\/33 and -61\/1458.\nAnswer: 16038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1342769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 37\/1071 + 2\/153. Let p(c) be the second derivative of i*c**3 + 0*c**2 + 0 + 3*c + 1\/42*c**4. Find a, given that p(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 46 (b) 0.2 (c) 4.26 (d) 5 (e) -2\/7 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 159 divide 305573673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 524 divide 21452560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1101011101110011 (base 2) to base 4\nAnswer: 31131303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of u**4\/4 - 2*u**3\/3 - u**2 - u - 57. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h = -24 + 31. Which is the smallest value? (a) -0.2 (b) h (c) 2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1011643, 2\/3, 0.7, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 3*z + 27. Determine m(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7728 = 7*s + 5*s. Suppose -s = -5*n + 66. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -194*u - 193*u - 1 + 391*u. Let w(i) = -3*i**2 + 0*i**2 + i**2. Determine w(x(v)).\nAnswer: -32*v**2 + 16*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -10*x**2 + 24*x - 8. Let v(m) = m**2 - 3*m + 1. Let s(h) = 3*d(h) + 24*v(h). Let u(n) = -4*n**2. What is s(u(y))?\nAnswer: -96*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5075393 and 1789.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -338 = -19*s + 42. Put 2, s, 1, -2 in ascending order.\nAnswer: -2, 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000000458 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 159058.8+-10457\nAnswer: 148601.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-4 + 11 + -2 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*n - 14. Suppose -5*w + g = -25 + 7, 4 = -w + n*g. Let z be (-495)\/(-231) - (-2)\/(-15 - -1). Solve -z*j + w = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the second derivative of b**3\/6 + 3*b**2 - 6*b. List the prime factors of n(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 57*h - 619*h - 150*h - 784*h in the form j + k*h and give k.\nAnswer: -1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y = 5*h - 25, -3 = 3*y - 4*h + 8*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -307 + -120?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10464.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 10 = -4*x, -26*q - 14 = -29*q - 2*x. Let g(s) = 7*s**3 - 6*s**2 + 16. Let d(f) = -f**3 + f**2 + 1. Determine q*d(b) + g(b).\nAnswer: b**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 + 7092*i - 62. Determine h(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1, -1707 in increasing order.\nAnswer: -1707, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5.5 + 5.4. What is the closest to 0 in v, -2, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10112211211222202 + 0?\nAnswer: 10112211211222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.03292 in -4, 5, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -260767.6 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 55 + -44. Suppose r - 4*g = -i, -5*g = -2*r + 3 - 16. Solve 0 = -2*f + r + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of 27*y**5\/20 + y**2\/2 - 3*y. Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175799713.\nAnswer: 175799713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 42.2208463 take away -3050?\nAnswer: 3092.2208463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes before 8:17 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*w + 16*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l = 2*u - 4881 + 4889, 59*u - 12 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + -12 - (234 + -245) - -36) + 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/9, -0.5, 707\/6, -0.3, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22914 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 6:24 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of -7*y**4\/24 - 15*y**2 + 1. Let w(n) = 3*n. Give r(w(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and 9070.\nAnswer: -36280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2923?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, 13, 28, 3687, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -244 + 274. Calculate the greatest common factor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 + 124 = -4*l. Let p = -20 - l. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - 32 + r**2 + 6*r + 2*r**4 - 7*r + 33. Let j(z) = 25*z**4 - 25*z**3 - 25*z**2 + 25*z + 70. Let b(n) = -25*i(n) - j(n). Differentiate b(t) wrt t.\nAnswer: -300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00008806 to six dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 105*z - 86*z**3 - 293*z**3 + 92*z**3 - 40*z - 64*z**3. Let u(b) = -11*b**3 + 2*b. Give -2*q(y) + 65*u(y).\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*n = n - 22. Suppose 0 = -u - 5, -n*m + 53 = -3*u + 28. Solve m*t - g - 16 = 0, -g + 16 = 5*t - 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -8 (b) -4 (c) 119 (d) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/9, -301, -5, -1\/14, 11?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) 0.2 (c) -287 (d) 5 (e) -2\/111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(1\/20)*l*l**11)\/((l\/(l\/l**(-9\/10)))\/((l*l*l**44*l*l)\/l)))**(-12\/5) assuming l is positive.\nAnswer: l**(-3657\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 25.69215 tonnes in nanograms?\nAnswer: 25692150000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5924573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29011211?\nAnswer: 23, 1261357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7342951 and 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 168.9 take away -0.176?\nAnswer: 169.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kknnoaaon. What is prob of sequence knok?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 - 3*i**2 + 2*i + 6. Let j be c(-3). Suppose -2*q + 12 - 2 = j. Sort 3, q, -3 in decreasing order.\nAnswer: q, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 1521*g + 99. Let y(i) = 31*i + 2. Calculate -2*q(u) + 99*y(u).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9\/(-2)*7\/3276*-16. Let o = 7 - 7.3. Sort o, r, 0.3 in decreasing order.\nAnswer: 0.3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 3*c + 1854, 5*c + 3100 = 2*m - 7*m. Let u = -366 - c. What are the prime factors of u?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -58*r + 79. What is the hundreds digit of h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2105 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(243) + sqrt(243)*2)\/sqrt(9) - sqrt(27))\/(-4*sqrt(36)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.9619 and -61.9.\nAnswer: -62.8619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) 5 (c) 884 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 6241 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1\/((304\/(-448))\/(-19)) + 11\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 101.5 + -101. Let x(u) = u**2 - 6*u + 3. Let l be x(7). Let t be l\/14 - 4\/14. Which is the smallest value? (a) 1\/4 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20526925 is divided by 4105384.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 3977 = 2*u - 2*n, 4*n - 2006 = u. Let t = -43671\/22 - u. Calculate the common denominator of t and ((-2)\/14)\/((-2)\/(-109)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of v**2\/2 + 3. Let d(m) = -3*m. Calculate d(g(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) -0.2 (c) -14662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16 and 162\/36*(-1 + (-10)\/(-6)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1260 and 252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -442*m**2 + 1369830*m + 445*m**2 - 1369830*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 19*i + 909. Give n(-48).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -3*a**2 - 11*a - 18. Let h be g(-3). Let y be (-3)\/4 - (h + 184\/16). Let u = -4 + 6. What is the second biggest value in 0.6, y, 0, u?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/19 (b) 0.1 (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4, 0, 5, 1093, -25\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1451 + 1501. Calculate the greatest common factor of 4450 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + 0.5. Let s = -17\/2 + 8. Let f = -0.1 - 0. What is the nearest to s in 1\/4, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/13, -12, -4\/3, 0.0259, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(-6)*1\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1\/5, -2\/37, -1\/30, 418?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 4*u**3 + u**2 + 3. Let y(c) = -4*c**3 - c**2 - 4. Let o be (-1 - -22)*(-3)\/12*(-56)\/42. What is o*x(t) + 6*y(t)?\nAnswer: 4*t**3 + t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*5*sqrt(242)*3 + 4.\nAnswer: -495*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 109, 214, 347, 514, 721?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80*f + 139*f + 52*f + 8 - 297*f - 6 + 122*f.\nAnswer: 96*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 88 and 1360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 37502160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + (-6)\/(-64)*(-4976)\/36?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -129576 + 164?\nAnswer: -129412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 5, -58\/9, -1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 309 = -0*g + g, -2*c + g = -206. Let l = c + -98. Suppose 0 = -5*j + 25, -18 = -3*d - l*j + 13. Solve 0 = d*q + 2*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-236)\/10 - 0)\/(18\/(-45)). Which is bigger: r or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 184649573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 88*r**3 - 89*r**3 - 2*r**4 - r + 28 + 0*r**4 to the form i*r**4 + j*r + g + d*r**2 + y*r**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60192?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1163325017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1 - (15 + 0 + 12 + -17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be -12*(-7 - ((-532)\/88 + -1)). Put m, 0.5, 1, -1\/5 in descending order.\nAnswer: 1, 0.5, -1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1864, -3591, -5194, -6673?\n\"Answer: 62*t**2 - 1913*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1814, -3624, -5434, -7244, -9054, -10864?\nAnswer: -12674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zpkk when four letters picked without replacement from kppppkkpkzzpk.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 459576 by -6.\nAnswer: -76596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -533*u**2 + 3 - 4 - 2 + 259*u**2 + u**3 + 268*u**2 to the form l*u**3 + n*u + s*u**2 + d and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 124.827989 + 0.07.\nAnswer: 124.897989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3 - -7)*-1*(-2)\/1. Suppose -1 = 2*t - z - r, -z + 23 = 3*t. Find the third derivative of -22*i**6 - i**3 - 7*i**2 + i**3 + 21*i**t wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4950 - 54488?\nAnswer: -4b738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 7.29 and 0.12.\nAnswer: 0.8748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -2 (b) -809 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ckcssssxs. What is prob of picking 1 x and 1 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -241.96715 + -0.03285. What is the second biggest value in o, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 4*x**2. Let n(m) = -5152*m. What is q(n(v))?\nAnswer: 106172416*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mml when three letters picked without replacement from {d: 5, m: 7, l: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -15.104 rounded to 1 dp?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*f = -27 - 117. Let j(u) = -u**3 - 6*u**2 - 1. Give j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000761697 to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((105\/28)\/5)\/((-1)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 202473250.\nAnswer: 2, 5, 7, 37, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -356*r + 388. Calculate v(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 4*o + 225 - 8*o + 5*o in the form y + t*o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -50 + 75. Let u = 41 - w. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.02 greater than or equal to 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 + t**2 - t. Let h(u) = 8*u**3 - 5*u**2 + 4*u. Let r(f) = h(f) + 3*x(f). Let a = 61 - 60. What is r(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11892*f - 23778*f - f**3 + 11886*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1122643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 120854*x**2 + 322797?\nAnswer: 241708*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/3*(-48)\/280*5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 * 31.95746\nAnswer: -95.87238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or 18184\/8289?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109 = -4*h + 3. What is the remainder when h is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*c + 14*r + 9 = 132*c, -c - 2*r - 36 = 3 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -3944 != 48\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -118 divided by -118.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -5 - 4 - (8 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 PM and 6:42 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i*i**(2\/3))*i)**(-7\/13)\/(i**(-5)*i\/((i**(-1\/9)\/i)\/i)) assuming i is positive.\nAnswer: i**(263\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1184 is divided by 119?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 2. Let m(j) = -2*j + 17. Let u be m(7). Let p = u + y. Solve 2*f = p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-4) + 2\/4. Let p = y - 0. Let z(v) = -v + 28. What is the remainder when z(p) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2969*a**5 + 8068*a**2 - a - 2 wrt a.\nAnswer: 178140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -41.02 + 41. Which is greater: 2\/3 or z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 2*v**2\/9 + 13400*v\/9 + 616546\/3 = 0.\nAnswer: -6559, -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 71, 145, 223, 305, 391, 481, 575?\n\"Answer: 2*m**2 + 68*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + t + 2*f = 2, -3*f = -5*t - 2. Let n = t - -5. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 128 - 80. Suppose -46*d = -48*d + t. Calculate the highest common divisor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 2 = -3*g, 0 = -4*d - g + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 6*u - 5*u. Let t = -59 + 46. Let x = 11 + t. Put 2, x, u in ascending order.\nAnswer: u, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 5*m**2 + 5*m + 5. Let w(z) = -8*z**2 + z**3 + z + 7*z - 3*z**3 + 8. Let r = 2 - 2. Let d(p) = p - 5. Let a be d(r). Give a*w(x) + 8*g(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1395 and 84465.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l - 41. Let o(j) = -j - 21. Let n(p) = 2*f(p) - 5*o(p). Let x be n(-7). Solve -4*i + 2*i + x = -3*h, 2 = 3*h + 2*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the third derivative of -2\/3*v**3 + 1\/12*v**4 + 0 - 4*v**2 + 0*v. Suppose -4*r - 6 = -2*r. Let b(q) = 5*q - 9. Calculate r*b(d) + 7*w(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3354597, -3354598, -3354599?\n\"Answer: -l - 3354596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4341 - 4341 + 19*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + 217 + 183. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 31, -0.46207, -18?\nAnswer: -0.46207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 4*q = 6*v - 20, 0 = 5*v - q + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 - -6. Let k be (-9)\/(-22) + (-6)\/12. Which is the biggest value? (a) -0.3 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27314.\nAnswer: 2, 7, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -96, -147, -248, -423, -696?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 plus -3.9?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + q)*(-2*q + 0 + 0) + q**2 + q**2 - 4*q**2 + (0 - 3 + 0)*(4*q**2 - 6*q**2 + 0*q**2).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 16017664153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -34, -34657 in ascending order.\nAnswer: -34657, -34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0*v = v - 9, 5*c + 3*v = 24. Solve c*i + 15 = 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 220012 divided by 37?\nAnswer: 220012\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2082*c**2 - 240*c + 30313709 wrt c.\nAnswer: 4164*c - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5031\/19 + 265. Let q = 7\/57 + r. Suppose n + 1\/3*n**3 - n**2 - q = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7414722 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 194*z + 5. Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.45 + 0.55. Let t = 3 + -2.8. Suppose 3*b + 2*u = -17, -2*b - 9 = -2*u + u. Sort b, r, t.\nAnswer: b, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37832 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*t**2 - 8*t**2 + t**4 + 1 - 2*t**3 + 2*t**4 to d*t**2 + g*t**4 + x*t + y*t**3 + i and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 3*d + 28 = 0, -2*z - 6 = 4*d - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -362983 divided by -1.\nAnswer: 362983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:47 PM and 5:39 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 110121110020 (base 3) to base 16\nAnswer: 3c97e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*d = -374*d + 8397 + 11575 + 13184 for d.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 6 = 0, 0*a - 4*m = -17*a + 22*a - 34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3633941l to millilitres.\nAnswer: 363.3941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 5444*s**3 + 3*s**2 - s - 4. Let m be w(-3). Let i be m\/120 - (-14 + 16). Let j = i + 6103\/5. Calculate the common denominator of j and -23\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 + 4*j**2 + 35*j + 186. Let v(g) = 2*g**3 + 9*g**2 + 73*g + 371. Let w(x) = -5*n(x) + 3*v(x). Let b be w(-5). Solve 0 - b = -13*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eborejgr. What is prob of sequence bejg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 2*u**4 - 315*u**3 - 3504*u**2 - 6080*u - 2888. Let i(c) = -2*c**4 + 157*c**3 + 1752*c**2 + 3040*c + 1444. Let z(q) = 5*i(q) + 3*n(q). Factor z(v).\nAnswer: -4*(v + 1)**2*(v + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + -2 + 15 + -2 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:39 AM and 4:33 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5578, -5585, -5592, -5599, -5606, -5613?\nAnswer: -5620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 472379 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5*((-222)\/(-10) + 0). Let a(p) = p**3 - 10*p**2 - 10*p + 1. Let d be a(11). Suppose 0 = f - y - d - 14, 4*f + 3*y = i. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 35449, 35175, 34901, 34627, 34353?\n\"Answer: -274*g + 35723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 14 - (26 - (2 + (1 - -6)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 89 smaller than 266\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5244811178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add -0.058096 and -13467769436.\nAnswer: -13467769436.058096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*y - 75*y**2 - 73*y**2 + 146*y**2)*(y**2 + y**3 - y**2).\nAnswer: -2*y**5 - 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, d: 2, j: 2, l: 1}. Give prob of sequence jdj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (20\/150)\/(15\/((-675)\/105))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 180971*g**6*z**3 + 3*g**2*z**3 + 2*g**2 + 3*g*z**3 - 547*z wrt g.\nAnswer: 21716520*g**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47, 73, 107, 143, 175, 197, 203?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 18, v: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8*((-10)\/(-8))\/(2\/8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 26 (b) 0.27 (c) 3\/8 (d) 1\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33339\/8 + -4173. Find the common denominator of -47\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -258*k - 748. Let p(u) = -3222*u - 9351. Let v(g) = 5*p(g) - 63*w(g). What is the first derivative of v(y) wrt y?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 8, -6, -20, -34?\n\"Answer: -14*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2\/15, -0.115, -0.0167?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 551 = -2*r + 49, -3*r + 5*y = -900. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 6, y: 2, j: 3, t: 1, x: 2}. What is prob of picking 4 o?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -19*n**2 - n + 1. Let d be 2\/(12\/10) + 96\/(-144). What is c(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -12. Let i(p) = p + 11. Let x be i(l). Suppose j - 4 = k, 0 = -5*j + 4*j + 2*k + 4. Solve -2*n = x*n + j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 84 = 5*a - 301, 3*c = 2*a - 129. Let p be (-91)\/(-2) - (-6)\/(-12). Suppose 0*f - p = -5*f. What is the greatest common divisor of f and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 5*t, -4*i - t = -3*t. Solve 10 = -2*q + 2*p - i, 0 = 4*q + 3*p - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1299 a factor of 19572033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -63480\nAnswer: 1\/12696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 + 2*p**2 + 2*p - 3. Let v be u(2). Let x = 0 + 5. Suppose x*h = -15, 2*o + 12 = -5*h + v. Solve -3*t - o*j - 11 = 0, 3*t + j + 7 = -3*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5573 times -0.1\nAnswer: -557.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000317 to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.285 and 2932.\nAnswer: 835.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of q**8\/672 + 7*q**5\/120 + 5*q**4\/12 - 13*q. Let t(l) be the third derivative of u(l). Differentiate t(i) with respect to i.\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*y + 28*y = -45 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*-1*(sqrt(16)\/(sqrt(40)\/sqrt(5)) + sqrt(18)\/sqrt(36) - (1 + (sqrt(88)\/sqrt(4))\/sqrt(11))).\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5.6 - 5.59997. Round g to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -26\/79 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 118048897 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11590 and 170583938?\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04713 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6.9 + 7. Let w = 49\/44 + -15\/11. What is the nearest to y in w, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 3*f**2 + 2*f + 1. Suppose -5*h + 1 = 6. Let r be b(h). Suppose -r*m - 36 = -4*l - 4*m, m = 4*l - 24. What is the lowest common multiple of l and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29449 (base 11) in base 2?\nAnswer: 1010001101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4 and 822.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4875.7 + -4226. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 41873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -12*d - 68. Let s be b(-6). Suppose -s*f + 3*m = f, 0 = -3*f - m. Let t(k) = -2 - 2*k + 0 + f + 1. What is t(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -51 + 62. What is the closest to -1 in -1, y, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 568536553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u. Let w(f) = -f**3 + f**2 + 2*f. Suppose 69*t - 56*t - 26 = 0. What is t*w(l) + 3*x(l)?\nAnswer: -2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12377020 divided by -1.\nAnswer: -12377020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 882895 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-45)\/(-6))\/5)\/(-32*50\/44800)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -6*w - 30. Calculate r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 + 3*c**2 - 5*c + 5. Let h(f) = -f**3 - f**2 - f. Let k(z) = -2*h(z) + j(z). Let o = 180 + -15. Suppose 33*y + o = -33. What is k(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6397*s - 1482 = 6473*s + 2470 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 512194050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 158 = -4*v, -8*v = 2*t - 6*v - 108. Find the common denominator of 8\/6*t\/12 and 89\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-17024)\/2240 - (-6)\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2044, 4159, 6284, 8425, 10588, 12779?\nAnswer: 15004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((2*(sqrt(1573) + 0) - (1 + sqrt(1573) + -1*sqrt(1573) + sqrt(1573))) + 6*(sqrt(1573) + 2)*6)**2.\nAnswer: 57794*sqrt(13) + 2158476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -cb8 (base 14) to base 4.\nAnswer: -213102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -54, 107, -1, 2264 in descending order.\nAnswer: 2264, 107, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2*h**2 - 52*h + 2. Determine v(-28).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4134, -8817, -14030, -19779, -26070, -32909, -40302, -48255?\nAnswer: -56774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -8 + (19 + -1 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvnvvvvvvnnvvnvvvvv. Give prob of picking 2 n and 1 v.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4471 + 17545\/4. Let z = i + 85. Sort 61, -4, -3, z.\nAnswer: -4, -3, z, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 50.20079 - 50.2. Round m to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 10246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 4. Let z(d) be the second derivative of d**3\/3 + 6*d**2 - 13*d. Let q be z(4). Solve q = p*a + a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 19493652 by 1.\nAnswer: 19493652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - -3. Suppose 0 = 3*z + 2*z - 5*h + s, 0 = 4*z + 4*h + 12. Let w be -5 - -5 - z\/(-2). Sort w, 5, 4.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1324306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(3\/4)\/o)\/o*o**(-4\/5))**(-3)*((o\/o**(-3\/4))\/(o**7*o))**(-13) assuming o is positive.\nAnswer: o**(422\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(605) + sqrt(605) + -1)**2 + -3 + 4.\nAnswer: -44*sqrt(5) + 2422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dyyyyydydyy. What is prob of picking 1 y and 1 d?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, -113\/162, 321, 2\/13 in increasing order.\nAnswer: -113\/162, -1\/3, 2\/13, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1803, 1785, 1703, 1515, 1179, 653, -105?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - 111102?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u - 3*u - 33 = 0. Which is the nearest to 1\/6? (a) u (b) -11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5388485 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is x in 2*x**4\/7 - 128*x**3\/7 - 6702*x**2\/7 + 234900*x\/7 = 0?\nAnswer: -50, 0, 27, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply 741777 and -0.052.\nAnswer: -38572.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 31 (base 7) to base 3\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 99*w + 350. Determine p(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 200*d = -343*d - 518*d + 207*d - 114436 for d.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 53 + -266\/5. Let y = -19 - -28. Let m = 9.1 - y. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -37*x**2 + 31*x + 12. Suppose 0*v - 5*d = v + 16, -v = 4*d + 12. Let j(a) = 36*a**2 - 32*a - 12. Let i(q) = v*b(q) + 3*j(q). Let i(o) = 0. What is o?\nAnswer: -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o - 1788 = 1050. What is the remainder when o is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + f + 1)*((1 - 2 + 0)*(-5 + 2 + 4) + 4 - 3 + 1 + 2 - 5 + 6).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 227\/4 + -57. Let b = 413.5 - 413.4. What is the closest to -1 in f, -2, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -41 - -36. Let n = -0.02183 - 0.47817. Put n, -2.1, -4, y in decreasing order.\nAnswer: n, -2.1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38 - -22. Does 3 divide 3\/(-5)*240\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 12*z**2 - z + 217 + 0*z + 24*z**2 - 219 in the form f*z**2 + d*z + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*l + 2*l - 63. Suppose -l*w = -w - 264. Let f = -5 - -32. Calculate the remainder when w is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 AM and 3:51 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 69*y**2 + 6*y - 101. What is the tens digit of h(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 338, 628, 932, 1256, 1606?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 3462, 6493, 9524, 12555?\n\"Answer: 3031*c + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 22, -57, -210, -461, -834?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/1153 (c) -0.0061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 534*k - 5066. What is the units digit of g(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 8, h: 2, w: 4}. Give prob of picking 2 y.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 - (1 + 4))*-1. Suppose 48*s + 15 = 53*s. Suppose 0 = -5*y + j*g + 356, -y - g - s*g = -80. What is the highest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-30)\/8)\/((-12)\/16). Solve -a = -0*a + n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1298, -2, -5 in decreasing order.\nAnswer: -2, -5, -1298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5.4 + 0.4. Let m = -0.19 + 1.09. Let p = m + -2.9. Sort p, j, 0 in descending order.\nAnswer: 0, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 16\/15 or -226228?\nAnswer: -226228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((36\/(-42))\/(-3))\/((-2)\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18*(-2)\/(-14))\/((2414\/(-1491))\/(-17)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 - 2*x**2 - 4*x - 5. Let s be v(-2). What is the greatest common divisor of 15 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -0 + 12. Let h be -20*(2\/5 - 0). Let r = -2516 - -2521. Sort r, h, z in descending order.\nAnswer: r, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-7)\/((-105)\/27) - 44\/55)*778951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 54091495 by -295.\nAnswer: -183361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 + -7. Let z(j) = 4*j**2 - 18*j + 7. What is the hundreds digit of z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132302321311 (base 4) in base 8?\nAnswer: -36627165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-3)*(-180)\/24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ah when two letters picked without replacement from {h: 1, a: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.4 and -17.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -115171, -230350, -345551, -460780, -576043, -691346?\nAnswer: -806695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3671.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 63001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17\/2 + -55\/6. What is the smallest value in m, -1\/9, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -150*y + 150*y - 15741*y**2 + 97*y**3 - 95*y**3.\nAnswer: 2*y**3 - 15741*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 + 5*w - 13. Let u(g) = -g**2 + 6*g - 14. Give 7*c(i) - 6*u(i).\nAnswer: -i**2 - i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(432)*1 - sqrt(432))*2 + sqrt(6)\/sqrt(2) + -2 + sqrt(3) + 2)*1)**2*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of -y**6\/2 + 29*y**5\/15 - 2*y**4 + 4*y**3\/9 + 248. Solve q(f) = 0.\nAnswer: 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6a480 + c?\nAnswer: -6a474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6*(-7)\/(-42) + -139. Let n = 38 - s. What is the lowest common multiple of 44 and n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -5925*d - 491765. What is z(-83)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2*n - 3*n - 308, 4*c = 2*n + 116. Let j = 0 - n. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 PM and 5:26 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -474.458 - 0.15.\nAnswer: -474.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -139 + 203. Is 63 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*v - v = -v - o - 247, -4*v + 4*o = -8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5\/2 + -3. Let d be ((-3)\/(-4))\/(1\/(-4)). Let k = 0.4 - 0.3. What is the nearest to n in d, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*b + g - 19, 4*b + 5*g = 41. Suppose -3*n = 3, b*n = 3*w - 573 - 388. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 2*c**5\/13 + 600*c**4\/13 + 1782*c**3\/13 - 8*c**2\/13 - 2376*c\/13 = 0.\nAnswer: -297, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -5a1c59 (base 14) in base 8?\nAnswer: -13574467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 122347297 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -3 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -s - 0. Suppose 0 = -24*k + 5*k + 342. What is the smallest common multiple of k and s\/4 + 46\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1*(-3 + 4\/(-12)*3). Suppose 3*i + 2 = -4*g - 1, -u*g + 2*i + 22 = 0. Solve -p - g*b = 6 + 1, -p - 3 = b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 45 = 2*p. Suppose -p = -7*w + 4*w. Differentiate l**4 + 2 - w + l**4 wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p = 0, 2*z - 8 = -p - 4*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 20517527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(2*(sqrt(38) - (sqrt(38) + sqrt(114)\/sqrt(3))))\/(sqrt(8) + (sqrt(32) - sqrt(8))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 11) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 402 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 8316 divided by 21\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 325805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 = 19*r - 2*r. Solve -r = c - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**3 + 140*h**2 + 1221*h + 74745. Determine w(-69).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17 + 211*w - 443*w + 217*w + 61 to the form g + p*w and give g.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1925 and 1785?\nAnswer: 98175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 271242979?\nAnswer: 7, 23, 240677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 93932.52 centuries in millennia?\nAnswer: 9393.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 38966 - 22429. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 10*c. Let f(r) be the third derivative of r**7\/2520 + r**5\/6 - 8*r**2. Let q(w) be the third derivative of f(w). Determine q(s(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 + 5.8. Let w = 2 + c. What is the closest to 1 in 0.5, 5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 2 + sqrt(684)*-1 + -2 - 5*(-4*sqrt(1216)*-2 - (3*(sqrt(1216) + -1) - sqrt(1216))))**2.\nAnswer: 4920*sqrt(19) + 1149904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = 5*d + 24. Suppose d*o - 21 = 27*o. Is o\/(1 - 3\/2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 4*a + 104 = 0, b = a - 5*a + 16. Let o = -9 + b. Suppose 2*d - o = -3*d. Solve 5*v + d = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17788, 35304, 52548, 69520, 86220, 102648, 118804?\nAnswer: 134688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**2. Let n(d) be the second derivative of -d**5\/10 - d**4\/4 + d**3\/6 - 3*d. Determine -3*a(s) + n(s).\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -195, 131.\nAnswer: -195, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -128.3 + -23.7. Let h = 151.9 + j. What is the closest to h in -5, 0, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zwyttqwttywzytttw. Give prob of picking 3 t.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 194 + -4923.\nAnswer: -4729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of 19*i**6\/24 + 5*i**4\/8 + 2*i**2 - 10*i. Find the second derivative of q(k) wrt k.\nAnswer: 570*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -35*z**3 + 7*z**2 - 7*z - 5. Let y(d) = -17*d**3 + 3*d**2 - 3*d - 2. Let b(c) = -4*k(c) + 9*y(c). Let v be b(-2). Round v to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -35*f**3 + 2*f**2 + 2*f + 1. Let z be o(-1). Suppose -6*w = -3*w - z. Let t be ((-18)\/w)\/(15\/(-4)). What is the closest to 0 in t, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 341626, 683373, 1025120, 1366867, 1708614, 2050361?\n\"Answer: 341747*w - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4.22 rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1077901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 66\/(-3) + (-1 - (-4)\/2). Let p = -22 - m. Sort 3\/5, 9, p, 4.\nAnswer: p, 3\/5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09411 rounded to 3 dps?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4 and 4\/(-6) + (-26)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o + 2*r + 2*r + 9, -o = 5*r + 11. What is the closest to 2\/9 in 0.3, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 838, 1486, 2134, 2782, 3430, 4078?\nAnswer: 4726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1083916 is divided by 725?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0329136 rounded to 4 dps?\nAnswer: -0.0329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2\/5 - 1381446*a\/5 - 5525752\/5.\nAnswer: -2*(a + 4)*(a + 690719)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -44403 - 4124442?\nAnswer: -4224400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(8\/5)*s)\/(((s\/s**(-4))\/s*s)\/s) assuming s is positive.\nAnswer: s**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4387188485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -91 - -139. Let c = p + -18. Suppose -3*v - c = -3*t, -5*v - 17 = -t + 5. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.4 (c) 33\/4 (d) 0.8884 (e) -45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.8 + 1. Let v = 0.56 + 0. Let d = v + -0.16. Put d, i, 0.1 in descending order.\nAnswer: d, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 3*t**2 + 85*t - 49. Let f be s(-29). Solve -5*l + 12 = -f*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*o**2 + 20*o + 504 = 0. Calculate o.\nAnswer: -9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 52 - -64 - (1 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0, -20588\/5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - -110010?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in twenty-nine halves of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = -2*v + 5*p - 14, -5*v + 27 = 3*p. Solve 5*z - 24 = 3*a, v*z + 0*a + 2*a = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27578141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (88\/2)\/((-109)\/(12644\/116)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fbf when three letters picked without replacement from {q: 1, t: 1, f: 4, b: 3, s: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -69 + 166. Suppose 13*h - 7 = f. What is the remainder when 39*(h\/(-14) - 22\/(-14)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 6 - 3*q + 2*q - 7*q. Let k(r) = 6*r**2 + 41*r - 9. Let c be k(-7). Let d(j) = -j + 1. Calculate c*o(v) + 14*d(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 103 + -89. Let a = 92 - m. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -56?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*(-2)\/4*52. Suppose -y + 2 = -2*n. Let t(o) = -o + 13. Calculate the smallest common multiple of t(-9) and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 30630124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 6 times 0.16\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 3*g**2 + 42*g + 30. What is x(-15)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - q + 20 = 2*g, 4*g + 2*q = 84. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8320970?\nAnswer: 2, 5, 7, 29, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -51992*q + 51997*q - 2*b = 12 - 0, 3*b = -4*q - 3*b + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - -5. Suppose -12 = -2*w - u*w. Let b(i) = 7*i - 4. Calculate the remainder when 19 is divided by b(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10490342?\nAnswer: 2, 41, 127931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -1 + 3 + (sqrt(112) + 1)*2*-3 + 4.\nAnswer: -24*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 times 87550?\nAnswer: -1751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -64.77 - -64.77. Which is the closest to 2\/7? (a) 1\/6 (b) -1.33 (c) 2\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 17283566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/75 and -53\/231060?\nAnswer: 1155300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1228.7372 - -1229. Let z = -0.25 + b. Round z to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -47 - 1. Is n <= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 35 = 5*b, 3*b = 5*n - 4 - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6115 + -6104.91. Round i to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**2 + 6. Let f = 5 + -5. Let g be h(f). Solve c - 8 = g*c + 4*u, 4*u + 8 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7812042397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1874401.899943 - -45184.899909. Let w = j - 1919673.8. Let b = w + 87. What is b rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -3*w**2 + 13*w**3 - 4*w + 3 - 4*w**2 + 0*w - 12*w**3. Let x(n) = -6*n**3 + 36*n**2 + 20*n - 16. Let l(r) = -2*x(r) - 11*z(r). Give l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*o + 1080 + 1664 = 16*o - 51*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 35.118511 to 2 decimal places.\nAnswer: 35.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 1446700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 7, -4, 3 in descending order.\nAnswer: 21, 7, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -3426000 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (-2 + 8 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25626 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*r - 214 + 687 = -1117 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes before 6:09 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*p**3 - 230 - 273 + 503.\nAnswer: 31*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(128)\/sqrt(4) - (-1 + sqrt(32))) + (1 + sqrt(288)*2 + -1)**2.\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 + -6. Suppose h*b = 276 - 72. Suppose -2*s + 0*i + 42 = -3*i, 2*i + b = 4*s. Solve 5*y + s + 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 112 = 103*j - 609 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-14)\/(b\/((b*b**11)\/b)) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-40 + 37 - (80\/(-6))\/4)*0. Solve 19*a + 137 - 118 = s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is q in -2*q**5 + 24*q**4 - 18*q**3 - 44*q**2 = 0?\nAnswer: -1, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -153485 - -3c?\nAnswer: -153447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9.795 + 8.795. Are -1000 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in -10, 7\/62, -0.4?\nAnswer: 7\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q + 4. Let l be r(2). Suppose -l*n = -4*n + 1954. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.5, -0.5, -25, 109, -29\/6?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 44311068 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2*d**3 + 47*d**2 + 26*d + 62. Give m(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -487 + 1311 = 6*i - 1420. Calculate the greatest common factor of 726 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22464650 rounded to the nearest 10000?\nAnswer: -22460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30573 is divided by 111?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2417 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -63523535 + 0?\nAnswer: -63523535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*u**2 + 41*u**2 - 162*u**3 - 129*u**3 + 292*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*(-3)\/3)\/((-2)\/9).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30 + -28. Suppose -14 - 18 = -4*u. Calculate the least common multiple of l and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 - -3 - -10 - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n*n**0))**(5\/6))**(-21)*(n**4*n)\/((n\/(n*n**(-7)))\/n*n)*(n**(-5)*n)\/n**(-2) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -4. Suppose 14*k - 9*k = l. Is k != -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 95, 3, 4, -4, -2, 172 in decreasing order.\nAnswer: 172, 95, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3500059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d + 10*d - 2*d)*(-1 - 10*d + 11*d + d**2 - 3*d**2).\nAnswer: -12*d**3 + 6*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 108879 >= 108883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/5, 8, -135361 in decreasing order.\nAnswer: 8, 3\/5, -135361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-38*t**2 + 108*t**2 - 45*t**2 - 39*t**2)*(2*t - t - 3*t) in the form v*t + o*t**2 + x + h*t**3 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/7, 0.19233, -1, 4, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 27423094*n - 46007587 wrt n.\nAnswer: 27423094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 30 - 30 - (0 + 0 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121)*1*-1)\/(-4*((2*sqrt(11) - sqrt(11)) + sqrt(11))))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - s**2 + 3. Let l be r(0). Let j = l - 3. Calculate the lowest common multiple of 8 and (-1 - j)\/((-1)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5\/2 - 11\/4. Let o = -512 - -517. Sort -0.5, o, z, 3.\nAnswer: -0.5, z, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -70+-42443184444\nAnswer: -42443184514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 615470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a**3 - 2277*a**2 - 384237*a + 18626517 = 0.\nAnswer: -399, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 43.5 - 36. Let f = 8 - p. Let q = 27 + -30. Which is the third biggest value? (a) -5 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -791*n + 15. Determine r(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3239 - -11803. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -88*s**2 - 3. Let g(m) = -145*m + 36*m + 32*m + 36*m + 38*m. Determine j(g(r)).\nAnswer: -792*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -420643 = -y - 2*m, m = -5*y + 134221 + 1968994. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 + 20*m**2 + 2*m + 356. Determine c(22).\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2\/9, -2\/17, 1\/6, 0, -60 in increasing order.\nAnswer: -60, -2\/9, -2\/17, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (352\/(-2288))\/(3\/273)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2, 27814969 in decreasing order.\nAnswer: 27814969, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 5:20 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -71 + 167. What is the highest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/l**(3\/2))**(5\/8)*(l**(1\/5)*l)**(-4\/7))**(5\/12))**(11\/4) assuming l is positive.\nAnswer: l**(-6149\/5376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(99) - (sqrt(11) - 2*sqrt(11)*-4)**2.\nAnswer: -891 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 84 = 2*k, 88 = 5*k + 2*q - 160. Let i be -4 + ((-4)\/(-10) - k\/(-30)). Which is the smallest value? (a) 0.3 (b) 12 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/12 - 200\/3. Let h = j - -67. Solve 0 = -n - 2*k + 13, h = 4*n - n + 5*k - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**2 + 16*w - 12. Let j be x(-9). Suppose 2*h - j = 0, -4*h = -4*c - 0*h + 80. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t - 5. Suppose -5*a + 3 = -4*b, 0 = b + 1 - 4. Let h be x(a). What is the units digit of (h + 4)*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*q - 77 - 70 = 123 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 2*f**4 - 43588*f**3 + 311604480*f**2 - 692877082428*f - 270582214560642 = 0. Calculate f.\nAnswer: -337, 7377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.03 - 0.15. Let h = 47.82 + -48. Let l = h - j. What is the smallest value in 0.1, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1*-1 + 2318\/2501. Let q = 6 - -15. Suppose -3*t + 18 - q = 0. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 693431334?\nAnswer: 2, 3, 19, 675859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0269 rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 270 - 260. Let v(t) be the second derivative of 0*t**2 + 0 + 0*t**3 + 1\/6*t**4 + n*t. Factor v(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -4*p + 59. Determine y(-6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12001011 - -20112112?\nAnswer: 102120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**9\/b**(-6\/11)*b**12\/b**(-4) assuming b is positive.\nAnswer: b**(281\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 416403848 and 19245556?\nAnswer: 4580442328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d - 1. Let r(v) = v**2 - 9. Let h(p) = -r(p) + t(p). Let q be h(6). Let s = -19 - q. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -194, -342, -404, -338, -102, 346, 1048?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the third derivative of f**9\/756 - f**5\/40 + f**3\/6 - f**2. Let j(i) be the first derivative of r(i). What is the second derivative of j(c) wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b in -1920\/7*b**2 - 8\/7*b**4 - 244\/7*b**3 - 900\/7*b + 0 = 0?\nAnswer: -15, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14.04419 - 13?\nAnswer: -27.04419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -93777 and 25.\nAnswer: -2344425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/18 and (4 + (-2807)\/666)\/(60 - 58).\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 3, z: 1, r: 2, i: 10}. What is prob of sequence sizi?\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9870 + -9870.059. Let b = 0.7 + -0.5. Sort -1, b, z in increasing order.\nAnswer: -1, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 137509.\nAnswer: 199, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 + -6. What is the remainder when 7 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/10*1835\/(-2202))\/((-1)\/42)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -33\/1796 and 83\/1190748?\nAnswer: 1190748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the second derivative of i**3\/6 - i**2\/2 + i. Let h(s) = -8*s - 84 - 80 + 169. Let g(j) = j - 4. Let a be g(3). What is a*h(t) - 5*r(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/(6\/(-4))*-4. Calculate the highest common divisor of x and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the second derivative of 0 - 1\/63*t**7 - t + 1\/9*t**3 + 0*t**5 + 0*t**2 + 2\/45*t**6 - 1\/9*t**4. Factor n(s).\nAnswer: -2*s*(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70 - 331 = -3*y. Let h be 30 + -4*(-3)\/6. Let q = -9 + h. What is the remainder when y is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*t = 9*t. Let i be t\/((2 - 8) + 4). Let d(j) = -j + 3. Determine d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 233*n**3 + 4. Let h(c) = 68967*c**3 + 1185. Give 4*h(z) - 1185*y(z).\nAnswer: -237*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2749, -8729, -17973, -30475, -46229, -65229, -87469, -112943?\nAnswer: -141645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1278 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 460 and 4968?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 319759806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 42 and 32438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -4*l + l**3 - 2*l**2 - l**2 + 1 + 2*l**2. Let u be 16\/(-56) - (-158)\/14. Suppose u*t = 8*t + 9. Give i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/6273 and 47\/6202152.\nAnswer: 105436584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of -m**8\/1344 + m**7\/420 - m**6\/480 - 10*m**2. Let k(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 308101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -5*o + 22, 7 = -a - 19*o + 21*o. Let x(l) be the first derivative of -5\/4*l**4 + 5\/2*l**2 - 13 - 5\/3*l**a + 5*l. Factor x(y).\nAnswer: -5*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 37704843 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 570 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 156846485083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 PM and 10:42 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, -18, -39, -56, -69, -78?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -232 + 238. Solve 3*w + 6 = p*w - z, -5*w = -3*z - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c + 7*c - k + 1, 2*k = -2*c + 2. Solve 5*m - 2 + 17 = c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 10, 5*z - 5*l = -0*z + 5. Suppose -2*b - 1 + 0 = -w, 0 = 5*w - z*b - 12. Suppose 5*j = 2*j - 5*q - 11, 8 = -4*j - 5*q. Is w equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 - 6*d**2 + 13*d - 21. Let s be c(3). Is (-37424)\/(-10) + s\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 3*n, 0 = i + 3*i + 2*n. Let h be (i - 0)*1\/(-3). Suppose h = z - 3*z, -2*c = -z - 24. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and -39940.2.\nAnswer: -7988.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 280 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18582 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1236 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the first derivative of c**3\/3 + c**2\/2 - 4*c + 136. Calculate y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(85) + -1*3*sqrt(85) + sqrt(85) + sqrt(85))\/(sqrt(5) + 4*(sqrt(5)*-1 + sqrt(5))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**2 - 12*r + 25. Let y be b(21). Are y and 215 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.4, 3\/7, 0.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9573 divided by -3191.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(1*sqrt(36)\/sqrt(2))\/(2*sqrt(54)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37\/(-26) - ((-14)\/252 - 65\/45).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 4, e: 2, j: 4}. Give prob of sequence dj.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -39646367, -79292734, -118939101, -158585468, -198231835, -237878202?\nAnswer: -277524569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/(-5) + 253\/115. Solve f*k + 8 = -3*g + 23, g - 5 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*d**4 + 2*d - 2*d + (2 + 3 - 4)*(-4*d**4 - 2*d**4 + 2*d**4) in the form a*d**3 + m + w*d**4 + g*d + n*d**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 469 + -788. Let v = m + 448. List the prime factors of v.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-48)\/(-40)*(23 - (-2140)\/(-80)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.78, -3, -2, -1\/4, 8 in decreasing order.\nAnswer: 8, -1\/4, -1.78, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -309*r**3 + 4*r**2 - 206*r + 684447?\nAnswer: -927*r**2 + 8*r - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -4, -33 in increasing order.\nAnswer: -33, -4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 28 = -2*f, -5*r = 26 + 4. Solve -4*n = 2*d - 12, -12 = -4*d - 27*n + f*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2400 and 364605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 13*y + 1. Let x(t) = 12*t. Let g(z) = 3*j(z) - 2*x(z). Suppose 0 = 18*p - 7*p - 88. Is g(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -124 less than or equal to -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 5*l**5 - 505*l**4 + 5570*l**3 + 506990*l**2 - 6060775*l - 6561685 = 0.\nAnswer: -29, -1, 13, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 3*n**3 - 462*n**2 - 933*n - 468 = 0.\nAnswer: -1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2849*g**3 - 2860*g**3 + 5694*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = 6*a - 2. Sort 2, a, 4, -9 in decreasing order.\nAnswer: 4, 2, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.665328 grams to nanograms.\nAnswer: 2665328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 546.3693nm in meters?\nAnswer: 0.0000005463693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71064 = 12*h + 64764. What is the hundreds digit of 82\/123*(2 + h\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1177 and 642?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 2*p = -10, 0*s - s = 3*p + 10. Let z = -53 - -59. Put z, 1, s in ascending order.\nAnswer: 1, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -40.400088 + 40.4. Round j to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -586 and -579 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 + -6. Let i(r) = 3*r**3 - 5*r**2 + 4*r**x - 8*r**3 - 6 + r**2. Give i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 392078964.\nAnswer: 2, 3, 61, 535627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 102939512 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 43311*y + 54. Let l be i(6). Is l\/176 + 4\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -0*z - 2*z. Suppose 0*y = -4*y. Suppose -8 = -z*x - y. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**3 - 4*z**2 - 2*z - 10. What is f(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = -3*k + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 590, 1302, 2014, 2726, 3438, 4150?\nAnswer: 4862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(8\/(-3852)*3). Round w to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 11, 33, 65, 107, 159, 221?\n\"Answer: 5*k**2 + 7*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 829720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -l - 839*l**2 - 204538 + 3482*l**2 + 204538 to the form w + d*l + b*l**2 and give b.\nAnswer: 2643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 96980 divided by 4?\nAnswer: 24245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3 + 2 + 3)\/(-1). Let v = r + 9. Are 1 and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 941052 in 0.1, 1\/2, -2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-24)\/(-14) + 8\/28. Determine z so that 2 + z**l - 2*z**3 - 2 + z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 5115*u = 5110*u + 4 + 3, 3*k = -5*u + 13 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 72905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -31, -13, 17, 59, 113, 179, 257?\n\"Answer: 6*l**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 164*i - 171*i + 35. Solve 3*y + 0*q + 12 = -5*q, -15 = i*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 474796?\nAnswer: 2, 7, 31, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -30a8856 (base 11) to base 9\nAnswer: -11261205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17 and 2227.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 75*z. Let a(d) = -3*d**2 + d + 12. Let g be a(0). Let j(k) = -9*k - g + 12 + 7*k. Give j(s(i)).\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*j - 57 = 24*j. Let n(m) be the first derivative of -4 - 5\/2*m**2 + 1\/3*m**j + 6*m. Calculate n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1355174 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -8*k. Let b(x) = 11*x**2 - 8*x**2 + 0*x**2. Determine b(p(m)).\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 + -9. Let t(h) = -20*h**3 - 3*h**2 + 1. Is t(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2213 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 825*k + 856*k - 15254*k.\nAnswer: -13573*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the second derivative of -5*y**3\/2 + 17*y**2\/2 - 24*y. Let z(v) = 6 + 0*v - v + 4 - 4*v - 4. Give 4*o(j) - 11*z(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}