diff --git "a/data/dm_maths/full_data_1/1328_11255.jsonl" "b/data/dm_maths/full_data_1/1328_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1328_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand 2*x**3 - 2*x**3 + 2*x**5 + (0*x**3 - 6*x**3 - 5*x**3)*(0*x**2 - 3*x**2 - 4*x**2).\nAnswer: 79*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/(6\/(-144)). Suppose -5*p = -p - z. Let u(i) = -7*i - 11 + 5 - p*i - i**2. Determine u(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/147 + 32\/49. Put 0, -0.4, 2, w in ascending order.\nAnswer: -0.4, 0, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1) + 2 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 86.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.08 (c) -0.3 (d) 1\/3 (e) -2 (f) 1.248 (g) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130663.359 rounded to the nearest 100?\nAnswer: 130700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11334021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -300.93 + 294. Let r = o - -2.87. Let v = r - -4. Round v to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1116061298 + -59?\nAnswer: -58.8883938702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/120 + g**5\/60 + g**4\/24 - 2*g**3\/3 - 2*g**2. Determine k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 + 8*p + 15\/2 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291672?\nAnswer: 2, 161459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 45 + 13 = 0. What is the derivative of 27*v**4 + 20 - 25*v**c - 1 + 6 wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:53 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108326 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -363 - -363. Let k be (-3 - -8) + 0\/(-1). Solve -k*v + v = u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 547*u**2 + 268*u**2 - 809*u**2 - u.\nAnswer: -1088*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10.65 + 197\nAnswer: 207.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 19*d - 84. Let b be m(7). Let r = -1.1 - 2.9. Let a = r - -7. What is the third smallest value in a, -0.3, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjiiiiijj. What is prob of picking 2 i and 2 j?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*j**2 + 263*j**2 - 240*j**2 + 327*j**2 + 346*j**2 in the form h + i*j**2 + s*j and give i.\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2554 + -2541. Solve 0 = -3*d - 3, 0 = -2*b - 4*d - d - s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 61*c**3 + 2*c**2 - 1. Let a(j) = j**3 + j**2 + j + 1. Let n be a(0). Let f be k(n). Calculate the remainder when 16 is divided by f\/16 - (-4)\/32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56b5 - 6?\nAnswer: 56ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*q - 464*q + 179 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 9*z + 450*z**2 - 9*z - 452*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44533 + 22?\nAnswer: -44511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let r = -791\/8 + 2483\/24. Find the common denominator of r and f\/22*(-78)\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.4 (c) 298 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 84 = l. Factor l*x**2 + 24*x - 25*x**2 + 28 + 9*x**2.\nAnswer: -4*(x - 7)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:31 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16367058 to the nearest integer?\nAnswer: 4046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 166*b\/3 - 260.\nAnswer: -2*(b + 5)*(b + 78)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.980977 millennia to centuries.\nAnswer: 59.80977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 16. Sort -5, -4, b, 2 in ascending order.\nAnswer: -5, -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -23*j**7\/42 + 7*j**3\/3 - 19*j + 2. Let z(l) be the first derivative of w(l). What is the second derivative of z(d) wrt d?\nAnswer: -460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u. Let z(t) = 2*t**2 - 1645*t. Calculate c(z(o)).\nAnswer: -10*o**2 + 8225*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015904731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 22 - 8. Suppose 131 = l*a + 43. Let n = a + -37. Calculate the remainder when 41 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 9*l**2 + 2*l. Suppose -12 = 4*p - 5*t - 33, 3*p - t = 24. Calculate o(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5637, -11273, -16909?\n\"Answer: -5636*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v\/(v\/v**(1\/8)*v*v*v))*v)\/v**(1\/4))**48\/((v**1*v)**(-18)*(v**0)**43) assuming v is positive.\nAnswer: v**258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82639*a**4 - a + 0*a + 1 - 1 - 82598*a**4 - a**3 to the form q*a + o + i*a**3 + m*a**2 + d*a**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 + 7 + -9). Suppose 27*i - 39 = 14*i. Factor -8\/3 - 1\/6*r**4 + r**i - 1\/6*r**2 - m*r.\nAnswer: -(r - 4)**2*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2264 - 2080. Let x = -90 + 217. Let k = u - x. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*f + 18 = 5, 5*k + 10 = 5*f. Let w(y) = 199*y**3 - y**2 - y + 2*y + 99*y**k. Is w(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117995112 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-2\/5)*f\/(f\/(f**(2\/17)*f))*f\/(f*(f*f\/(f**(-2\/11)\/f*f))\/f)*f*f*f**(-11)\/f assuming f is positive.\nAnswer: f**(-8101\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*i - 54 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 1:19 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 3*r**2 - 5212 + 5207 + 24*r**3.\nAnswer: 24*r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 395, -1\/3, 0.11, -3, -2 in increasing order.\nAnswer: -3, -2, -1\/3, 0.11, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 3*o + 3*o + 36 - o**2 - 5*o**3 - 4*o**2 to the form c*o**3 + h*o**2 + u*o + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600 is divided by 514.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/(285\/114)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r + 3. Let d be x(-6). Suppose -d = 2*j - 7. Suppose -2*h + 2*a + j*a = -56, 4*a = -h + 16. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Suppose 3*p + 4*v = 4*p + 5, -3*v + 18 = 4*p. Let j(o) = -2*o - p - 1 + 4. What is s(j(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 238712927 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106\/6521 - -834865\/3599592. Find the common denominator of j and -43\/1518.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 15*z. Suppose 7*c = 3*c + 5*b + 632, 0 = -5*c + b + 769. Suppose 4*p + 41 - c = z. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3042546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3342 - a69b?\nAnswer: -7359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(7260)*2)\/sqrt(5).\nAnswer: 46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/58*-2*(-8)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 31*j - 60. Calculate the smallest common multiple of 10 and d(-22).\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -126*l + 65*l + 62*l - 12, 0 = -5*l + 7*g + 47 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 293643?\nAnswer: -293647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.026.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 403132\nAnswer: 1\/403132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/858 and 36\/3775?\nAnswer: 3238950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2. Suppose 3*m + 0*m - 6 = 0. Let d(n) = 0 - 3 + 3 - n**m. Give t(d(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = 2*m + 6*x, 4*m - 5*x = 52. Suppose -14 = -2*f - m. Suppose 4*h + 2*i = 60, -18 = -h - 0*i - 2*i. Solve -f*s + p = -h, 4 = 4*s - p - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344076 is divided by 2024.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l + 24*l**2 - 23*l**2 + 19 - 21 + 59. Let p be n(26). Solve -i + p = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(25)\/sqrt(5) + sqrt(5) + 0) - (sqrt(605) + -4 + sqrt(605) + -3 + sqrt(605))**2*-6.\nAnswer: -2772*sqrt(5) + 32964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21122034 + -22?\nAnswer: -21122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51108 is divided by 1345?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10614, -3, 76 in ascending order.\nAnswer: -3, 76, 10614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000945 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (2 - 1)) + 0. What is the nearest to -2 in w, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3038 + -1155. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17382801.86 to the nearest 100.\nAnswer: -17382800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = o + 16, 0 = 95*j - 98*j + 10 + 41 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2\/9))\/y)**(1\/72)\/(y**(-2\/13)\/y**(2\/3)))**25 assuming y is positive.\nAnswer: y**(86725\/4212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/6, 3\/5, 0.33365, -133?\nAnswer: 0.33365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 8*b**2 - 6*b + 4. Is 55 a factor of r(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -16, -2, -5\/4 in ascending order.\nAnswer: -16, -2, -5\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-3))\/(10\/(-12)*(-2464)\/440).\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -907, -4473, -10697, -19579, -31119?\n\"Answer: -1329*w**2 + 421*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -6. Let d = -3 - a. Let w = d - -0.1. What is the third smallest value in w, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15811731*b**6 + b**4 - 2*b**2 - 283489*b wrt b?\nAnswer: -1897407720*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.2. Let q be (-2)\/8 + 30\/56. Let b be 70\/60 + (-4)\/6. What is the nearest to 2 in b, q, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 280*c**2 + 2646*c + 5364.\nAnswer: -2*(c - 149)*(c + 3)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/1*(-2)\/3*448\/(-784).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -30, -32, -20, 12, 70?\n\"Answer: l**3 - 2*l**2 - 11*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -350 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 212903457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 287?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -3, 446, -4 in decreasing order.\nAnswer: 446, -3, -4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30717495 and 270.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let m(l) = -460*l**2 + 20*l - 5. Let s(p) = -14720*p**2 + 644*p - 161. Let j(d) = -161*m(d) + 5*s(d). Give y(j(u)).\nAnswer: -211600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*l - 3*l - 256, 0 = -2*j. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -7027?\nAnswer: -7026.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:02 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*q + 323 = 0, q + 89 = c + 4*q. What is the remainder when 1311 is divided by c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1001, -1998, -2993, -3986, -4977?\n\"Answer: g**2 - 1000*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 8. Let r(f) = -f - 1. Let v(y) = -k(y) + 2*r(y). Let l be v(7). Let n be 9\/60 + l\/(-4). Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s. Suppose 4*x = -l - 6, 0 = -4*l + 3*x - s*x + 14. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrkkkkkkxk. Give prob of picking 1 r and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)**(-33)\/(g**(1\/2)*g)**(2\/49))**(4\/15) assuming g is positive.\nAnswer: g**(2152\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/39 and 129\/243100.\nAnswer: 729300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057474 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -19*r - 71*r + 19*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:32 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -195, -614, -1419, -2736, -4691, -7410, -11019?\n\"Answer: -21*z**3 - 4*z**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*1*(-24)\/(-60)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + -3.3067309?\nAnswer: 78.6932691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(10*i**4 - 7*i + 7*i) + (-3*i + 2*i + 2*i)*(3*i**3 + 0*i**3 - 5*i**3) - 2*i**4 - 40 + 40.\nAnswer: 26*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3 + 3)*(-4 + 2 + 4 + (-1 - 3 + 2)*(6 - 1 - 3) + 2 - 2 + 3).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -157, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1 - (28 + (-38 - -1) - -10)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 5 (b) 2 (c) -1\/164 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35\/26 - -2\/13. What is the closest to -0.7 in b, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3 + 16136*p**2 - 2512502*p + 25682404 = 0?\nAnswer: -8221, 11, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10830 - -25*18\/45.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 51. Let u be 20\/3*18\/4. Suppose -17 = -3*n - 4*h, 4*n - 6*h = -4*h + u. What is the remainder when v is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37808 <= -37808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 + 69 = n. Suppose n = f + 4*f. Let h = f - 36. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1675 and 1202918.\nAnswer: 30072950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**4 + 960*a**3 + 4716*a**2 + 3760*a = 0.\nAnswer: -235, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 1\/2*y**2 + 3\/2*y.\nAnswer: (y - 1)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29141.3 - 15957?\nAnswer: -45098.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 152236*s**2\/9 - 50746*s\/9.\nAnswer: 2*s*(s - 25373)*(3*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 2, s: 8, x: 2, i: 3}. What is prob of sequence is?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9555 divided by 105?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/9 + 12*t**3 - 280*t**2\/9 - 2000*t\/3 = 0.\nAnswer: -6, 0, 10, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(156\/75 - 2). Which is smaller: t or 5\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 53 = 6*b + 7 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-5)*16130\/19356?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 + 4*x - 4. Let t be z(-5). Differentiate 3*f**2 - t + 0 + 3 - 1 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 1 - 11, -2*y - 5*z + 9 = 0. Let n(d) = -d**2 - 7*d - 2. Calculate n(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*z**3 + 21*b*z**2 + b*z - 11681*z**3 + 2367057*z wrt z?\nAnswer: -6*b*z + 42*b - 70086*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-15) + (69207\/(-12483))\/17 and 53\/7?\nAnswer: 9709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 12571?\nAnswer: -5\/12571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75799928 is divided by 3578.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3990 is divided by 1330.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3723767017 and -0.5?\nAnswer: 3723767016.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 815896, 3263603, 7343122, 13054459, 20397620?\n\"Answer: m**3 + 815900*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563151 (base 7) in base 14?\nAnswer: 10bad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196700 and 25340?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6919401?\nAnswer: 3, 19, 233, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -91*w**3\/3 + 5*w + 5682. Let h(x) = -45*x**2 + 3. Determine -7*h(j) + 4*s(j).\nAnswer: -49*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 23*o**2 + 23*o - 17. Let h be s(22). Put h, -3, 4, -5 in increasing order.\nAnswer: -5, -3, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 438.1?\nAnswer: 131.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5837 and 6?\nAnswer: 35022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.85? (a) 0.5 (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7988197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + (-16102)\/332)*(-2)\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msk when three letters picked without replacement from msssnkgqqqn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1482 - 1?\nAnswer: -1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*x + 26*x - 106*x)*(2 - 1 - 3).\nAnswer: 248*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Suppose 5*s - h*g - 12 = 0, -3*g - 1 + 3 = -s. Let w be 2\/(-4)*(3 + -3). Solve w = -3*u + 8 + s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 4*j**2 + 2*j - 2300*j - 98*j**2 + 2300*j + (-1 + j + 1)*(-3*j + 0*j + j) as a*j**2 + c + u*j and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3 = -5*n + 7*q, -3*n + 5*q = -17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -66. Suppose -4*x + 408 = 2*s - 1602, h = -4*s - 4*x + 4028. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -815347.1 - 2.\nAnswer: -815349.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/29? (a) -2\/9 (b) 7\/3 (c) 0.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*q - 101. Calculate the smallest common multiple of 4 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 96169, -86 in decreasing order.\nAnswer: 96169, -3\/4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 1.5, -2\/11?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 + 102779*q**2 - 2466669*q\/4 + 1849995\/2.\nAnswer: -(q - 411110)*(q - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1\/2, 36, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 1100156.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 5*r)*(3*r**2 - 4*r**2 + 0*r**2) - 14*r**3 + 7*r**3 - 2*r**2 + r**2.\nAnswer: -9*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 4?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.017+770840\nAnswer: 770840.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000301532954 to 6 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (969\/(-342))\/(1\/6). Let j(w) = w**3 + 15*w**2 - 31*w + 19. Calculate j(o).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 2*z**2 - 4*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5))**(19\/5)\/((h**(2\/9)\/h)\/h**(2\/13)))**(1\/66) assuming h is positive.\nAnswer: h**(-1057\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 6:49 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p. Let t(h) = 114*h**2. Give t(l(q)).\nAnswer: 1824*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 2115?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 + 5*o - 3. Let b be c(-4). Suppose -2*i + 16 + 10 = -2*h, -3*h = 5*i - b. Calculate the remainder when 38 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29792392079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*k + 601*c**3 - c**2 - 5223*c*k wrt c.\nAnswer: -12*k + 3606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12281*v - 4136362 = 17477*v for v.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 83. Let d = -33 + t. Solve -d*j + 12 - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120020 (base 3) to base 9.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 2*q + 3*q + (-1 - 1 + 1)*(3*q + 13304 - 6705 - 4673) to w*q + x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19345903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, 3, -295, -3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92995236 or -371980947\/4?\nAnswer: -371980947\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 3:46 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let j = 6 - y. Let z = 7.7 - 8. Sort j, z, -3\/7.\nAnswer: -3\/7, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-825)\/(-1125)*(-146)\/803?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1533880 and 98960?\nAnswer: 3067760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3420*u**2 + 6533*u**2 + 217*u**2 - 2112*u**2.\nAnswer: 8058*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -886*j + 2683. Calculate m(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -18 - (-1 - -2)) + -2 + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366840 divided by 136684?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 6. Let g be (-1 + 9)*(-8)\/(-16). Suppose 0 = -g*u + 11 - 3. Solve 3*z + u = c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -20. Let a = 15 - 11. Let g be 1*a\/m*9. Solve -2*q = -g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 4}. What is prob of sequence ulll?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 694894085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170 (base 8) to base 5.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5386.477 weeks to microseconds.\nAnswer: 3257741289600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -100*l. Let x(d) = -15441*d. Give y(x(h)).\nAnswer: 1544100*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 - 58*o**2 - 281*o - 293. Let n(s) = -7*s**3 + 85*s**2 + 422*s + 440. Let m(p) = -8*d(p) - 5*n(p). Factor m(a).\nAnswer: 3*(a + 2)*(a + 3)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37966 + -26154. List the prime factors of n.\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56982480 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 + 8*w + 2. Let y be j(8). Let x(a) = -14*a**2 - 20*a**2 + 41*a**y. Let b(h) = -3*h**2 - 3 + 3. Give b(x(k)).\nAnswer: -147*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 394*x + 107*x - 75 = -646*x - 24162 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 15. Suppose n*h = -h - 3*x - 9, 5*x = -5*h - 5. Let z be (-2)\/h - (-2)\/(-6). Solve 5*i - 4*v - 21 = z, -7 - 5 = 4*i + 4*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*g + 24, -g + 0*g = -3*j + 8. Let k = 1 + j. Suppose 0*s + 20 = 4*s - k*f, -s - 5*f = 20. Solve s = -3*x + 4 + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 37. Let m(y) = -218*y. Give c(m(r)).\nAnswer: 654*r - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6708 to two dps.\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4812823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.45312409 to one dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/328 and (-119)\/(-4)*(9 - (-1090)\/(-120)).\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -760*i**3 + 3*i**2 - 61*i + 58. Calculate t(1).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 0*a)*(-3 + 1 - 2)*(a**2 + 3*a - 3*a)*(57*a + 40*a - 14*a).\nAnswer: -664*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Let d = 0 - -5. What is the biggest value in -1\/7, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4918544 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-2 + (-4)\/8*-2. Let a be 0\/(-4) + (21\/3 - c). Solve -4*x - 2 - a = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 - -161\/2. Let g = 0.33 - -0.07. Let q = -0.3 + g. What is the nearest to q in 2\/3, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4311259.98818 and -16.\nAnswer: 4311243.98818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1075534.52058 - -1075514. Let m = k - -1.52038. Let t = m - -19. Round t to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Suppose -2*k = -2*k - 2*k. Let r be o*(k + 0 - -3). Solve -17 = -x + r*v - 7*v, 5*x + v + 10 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 100, 206, 308, 406, 500, 590, 676?\n\"Answer: -2*k**2 + 112*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*j**3 - j + 8 - 6 - 18*j**3 - 28 wrt j.\nAnswer: 36*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = -d - 4*q, 4*q = -12. Suppose -5*j = d*z + 8 + 52, -3*j - 106 = 4*z. Let s = z - -131. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(486)*1 + sqrt(486)))**2.\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 10, -2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35198.\nAnswer: 2, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027929988 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 139, 0, 5, 306?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 7*i**4 + 7*i**4 + 9*i**4 - 38*i**4 + 9*i**4 + (i**3 - i**3 - i**3)*(3 - 3 - 2*i).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 22. Let o be d(-11). Let j be 24\/9*6\/4. Suppose j*h + 308 = o*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 406\nAnswer: -3\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 320 * -0.178.\nAnswer: -56.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 11. Let v = r - 2. Put -2, v, 7 in increasing order.\nAnswer: -2, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2020163 (base 9) to base 10\nAnswer: 1076142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 13. Let j be s(9). Suppose -7 = p + j. Let r = 93 + p. What is the greatest common divisor of r and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3714 and 5.\nAnswer: 18570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d - 3. Let m be l(0). Let n be (m\/10)\/(21\/28). What is the second smallest value in 3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 34*b + 79. Let q(s) = 28*s**2 - 29*s - 2. Calculate q(o(n)).\nAnswer: 32368*n**2 + 149430*n + 172455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102952 - -102952.52973. Let o = q - 0.53. What is o rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2115*v + 17791 + 41429 = 0 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 10. Let j be g(6). Let c be (j\/(-8))\/(1\/6). Suppose c*l + 15 = 8*l. What is the remainder when 3 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -3*k**3 - 37\/120*k**5 + 6*k**2 + 0 - 5\/4*k**4 - 1\/420*k**7 - 1\/24*k**6 + 0*k. Suppose y(i) = 0. What is i?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {m: 1, s: 1, w: 6, n: 3, d: 5, f: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308 divided by 49?\nAnswer: 2308\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7000581 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d + 964 = 148*d - 1049 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -30*w - 24. Let d(y) = -6*y - 5. Determine 24*d(h) - 5*l(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3250.3 + -3250. Let j = -6 + 3. What is the third biggest value in j, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 607412, 607406, 607410, 607430, 607472, 607542?\n\"Answer: l**3 - l**2 - 10*l + 607422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.4 (c) 13430899 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 43 = 4*q, -2*q + 3*s + 1 + 4 = 0. Calculate the greatest common factor of q and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -542 - 169. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47975*p**3 - 928*p + 1856*p - 928*p + 47977*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1992, 4018, 6042, 8064, 10084?\n\"Answer: -n**2 + 2029*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:39 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-164)\/410)\/(1\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -812634 divided by 6?\nAnswer: -135439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h**4 + 1\/2205*h**7 + 0*h**6 + 2*h**2 + 4\/63*h**3 + 0*h - 1\/126*h**5 + 38. Solve t(n) = 0 for n.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 - m**4\/2 + m**3 + m**2\/2 - 4*m. Let d be c(5). Let b be 0 + -3 - (9 - d). Are b and -6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0740443 days to milliseconds.\nAnswer: 6397427.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.16 + 90.84. Let s = -91 - j. Let k = s - -183.887. What is k rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208651?\nAnswer: 137, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -448, -636, -868?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 36, 52, 72?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 43.1\nAnswer: -8.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1215, 2439, 3663, 4887?\n\"Answer: 1224*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1972\/6)\/((-12)\/(-18)).\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 - 78. Suppose -u - u = -y*k + 14, 0 = -4*k - 5*u - 7. Factor -4\/3*h**3 + 2\/3*h**5 - 4\/3*h**k + 2\/3*h + 2\/3*h**4 + 2\/3.\nAnswer: 2*(h - 1)**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -1\/6, -7\/894, 3, 4, 21, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:29 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -347*k*t**2 + k*t + 8*k - t wrt t?\nAnswer: -694*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 1\/126*r**5 - 70*r**2 - 2\/63*r**3 - 1\/28*r**4 + 0 + 0*r. Suppose j(x) = 0. Calculate x.\nAnswer: -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(5))**2 + (sqrt(40)\/sqrt(4))\/sqrt(2))*-2 + 5*(5 + (sqrt(550)\/(sqrt(11)*-2))\/sqrt(10)).\nAnswer: -13 - 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002470892 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 1001164?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*c = -10, -3*c = -3*o + 62 - 56 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8063 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4071813.48 minutes to weeks.\nAnswer: 403.94975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4 and 31\/125494787?\nAnswer: 501979148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 15 = -5*d, 11*d - 15*d + 8 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 367\/32956 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sts when three letters picked without replacement from ttsts.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j + 5. Calculate the lowest common multiple of (-8)\/(-6)*(-45)\/(-6) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130120 (base 5) to base 14\nAnswer: -1b99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 165 (b) -278 (c) 0.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**5\/7 - 1144*k**4\/7 - 2356*k**3 - 63208*k**2\/7 - 91216*k\/7 - 43360\/7 = 0.\nAnswer: -271, -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowro. Give prob of picking 3 o and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k**2 + 2*k**2 - 2*k**2)*(2 + 2 - 3) - 6*k**2 + 3*k**2 + 4*k**2)*(-71 + 25*k + 71)*(3*k**2 + 3*k**2 - 5*k**2).\nAnswer: 75*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 8*s + 15 = 0. Suppose -s*u + 27 = 6. Let x = 10 - 7. Solve -w - t = u, x = -9*w + 4*w + 3*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/111 and 73\/9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 14\/7476437?\nAnswer: 14\/7476437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = -5*a + 3, 0 = 3*j - 3*a - 36. Suppose j = -0*o + 4*o. Let s = 6 - o. Solve h = s*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3*n - 4*k**3 + 8*k**2*t**3 - 19*k*n*t**3 + 2*t**3 with respect to n.\nAnswer: -3*k**3 - 19*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/15)\/(v*v**(1\/10)) assuming v is positive.\nAnswer: v**(-37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 13*u - 22. Let z be y(-11). Let p be 26\/22 - (-8)\/z. What is the third biggest value in -2, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, -2\/7, 5\/4, -200 in descending order.\nAnswer: 2, 5\/4, -0.1, -2\/7, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5 + 0*j**3 + 0 + 5\/6*j**4 + 5\/24*j**6 - 5*j**2 + 0*j. Determine f so that r(f) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/310 and 5\/11656.\nAnswer: 58280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 261 + -241. Solve p = -3*p - j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -307, -626, -969, -1336, -1727, -2142, -2581?\n\"Answer: -12*b**2 - 283*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 50 - 12*k - 133.\nAnswer: -12*k - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56412 - 6643?\nAnswer: 46436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 10*h + 78. Let j(q) be the first derivative of -h + 0*q**4 + 0*q + q**5 + 0*q**3 - 19\/2*q**2. Find the second derivative of j(w) wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-3260972\nAnswer: -3260977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:10 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79285 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -11. Let q(w) = 2*w + 35. Calculate the lowest common multiple of q(-13) and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 1, g: 3, q: 2, c: 3, b: 1}. What is prob of sequence cbsq?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 17*v**2 + 6*v + 8. Calculate the remainder when n(17) is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 98.2.\nAnswer: 19.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*r - r = 12, -3*h + 4*r - 26 = 0. Let w be (-5 - h)\/(1\/3). Let u(m) = m**2 + m - 4. Determine u(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 12*c**2 + 9*c - 22. List the prime factors of y(-9).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5961833.2 and -1097279?\nAnswer: 7059112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**4 - l**4 - l**4 + (-14*l - 54*l + 13*l)*(2*l**3 - l**3 - 2*l**3) + 16*l**4 - 9*l**4 - 14*l**4 as n*l**4 + i*l**3 + m + q*l**2 + p*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27556\/9 - 332\/9*a - 1\/9*a**2 = 0. Calculate a.\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.7 or 1\/4?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.34069 and 0.\nAnswer: 0.34069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert b374 (base 15) to base 6.\nAnswer: 451301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10382 = 4*u, -10*u + 2*m = -5*u - 13000. Suppose -u = -37*k + 31*k. List the prime factors of k.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r - 1. Let a(g) = 14*g**3 + 28*g - 25. Let t(y) = -9*y**3 - 19*y + 17. Let w(u) = 7*a(u) + 10*t(u). Calculate -10*d(z) + 2*w(z).\nAnswer: 6*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1089 - 1077. Let w be (15\/9)\/((-1)\/(-6)). Is w at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*10\/(-140))\/(6\/7)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -4, 2, -2, 62, -1344 in descending order.\nAnswer: 62, 8, 3, 2, -2, -4, -1344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, 468, 1502, 3064, 5148, 7748?\n\"Answer: -r**3 + 273*r**2 - 312*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3011 - 3012. Let i(c) = -c**3 - 4. Let y be i(0). Sort 0, l, y, 2 in ascending order.\nAnswer: y, l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -402, 7, -698 in increasing order.\nAnswer: -698, -402, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c + 12. Calculate the remainder when 31 is divided by q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -289*z - 595. What is the thousands digit of p(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1522 + 32141543574?\nAnswer: 32141543574.1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 3:29 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 + 235. Let y = n + -43.9. Which is the closest to y? (a) 4 (b) -0.29 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = 0. Let a = 18 - 13. Suppose a*b = -u*b + 65. Solve 3*i - 1 = -b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -7*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018488 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 3:43 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*b + 128, -5*d = b + 195 - 41. Is d at least -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/((-20)\/4) + -246. Let d = -42 - y. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93190873?\nAnswer: 93190873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 j when three letters picked without replacement from {a: 7, j: 3, b: 1, p: 1, o: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-1 - -10) + -5) - -900. Suppose -5*n = -5*x - 1500, -3*x + l = 8*n - 5*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/10*(-294)\/63. Calculate the greatest common divisor of v and 1099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 9 = -o - 2*h, 0 = 3*o + 5*h - 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11040 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003483278 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, 371, 986, 1601, 2216, 2831?\nAnswer: 3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/8 + (-1)\/4. Let p(q) = q**2 + 5*q + 9. Let l be p(u). What is the second derivative of 4*v - 6*v - 3*v**4 - l*v + 0*v**4 wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 17, -1\/15, 3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from aararraaaarararaaa.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*y + 2, -5*y = -2*p - 2*y. Let o be (-7)\/(-4 + p) - 2. Let s(n) = n**2 - 2*n + 1. Let m be s(o). Solve 0*u - 4*u = m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 558 - 1618\/3. Calculate the common denominator of q and 19\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 4 + -3 + 2. Let r be 1\/(-5)*(z - (-188)\/(-24)). Is 1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4*b + 5. Let h be n(4). Let r be (-7 + h)*4\/(-2). Solve -4*g - r - 5*g**4 + 2*g**4 + 4*g**3 + 7*g**2 + 0*g**4 = 0 for g.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + 0 + (6*(-2 + sqrt(272)) + 2)*-1))**2.\nAnswer: -14400*sqrt(17) + 248400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 22*s - 32. What is the units digit of w(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:29 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from rlllrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620 divided by 6?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 44*n - 286. Let j be p(7). Suppose -2*m = g - j, 4*g - g = -m + 16. Which is the closest to 0.1? (a) m (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 20 = 2*h, -4*s + 2*h = 3*h + 20. Let w = -8 - s. Sort -0.5, w, 4 in decreasing order.\nAnswer: 4, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 107376*a**3 + 1441200672*a**2.\nAnswer: 2*a**2*(a + 26844)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1208*d - 9660. Calculate f(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from ycyyrcyycr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1)*35\/(-2). Is 11 a factor of (1 - -1) + (1 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 take away 51?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9760085 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 137327372 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -527 + 543. Let c(b) = -s + 5 + 148*b - 147*b. Calculate c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 - 1.66. Is t greater than or equal to 1163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560153 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 23. Let t(v) = 425 - 147 - 293 - v**2. Calculate -5*b(w) - 8*t(w).\nAnswer: -2*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 124*r = -374325. List the prime factors of r.\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/((l**(-1\/9)\/l*l)\/l)*l)*(l\/((l*l\/((l*l*l**(2\/13)*l)\/l)*l)\/l))\/l)\/(l**(-2\/7)*l**(-4)\/l*l) assuming l is positive.\nAnswer: l**(1088\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5620.2 + -19188.9875.\nAnswer: -24809.1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/((u\/((u**(-3\/7)\/u)\/u))\/u))\/u*u*u*u))\/u*u**(4\/5)\/u)\/(u**1)**46 assuming u is positive.\nAnswer: u**(-1672\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 15*c = 85878. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.9600555 + -39.96. What is s rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.5 (b) 5 (c) -2 (d) -0.03 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2731379270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-1)*(27\/(-3) - -13).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3341.5, -3\/73 in decreasing order.\nAnswer: 3341.5, 0.5, -3\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlbdjjdvjlbbvbddj. Give prob of picking 1 v, 1 b, 1 l, and 1 d.\nAnswer: 16\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1031 + 30113?\nAnswer: 25042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 - (-59 + -3 + 40).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(5\/3)*m\/m**(-19) assuming m is positive.\nAnswer: m**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106.3 + 102.3. Which is the biggest value? (a) -1\/10 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 30*w + 192 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 7:31 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3429)\/6*280*-1. Suppose -21*b + 14*b - t = 0. What is b rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + 3*m**5 + (6*m**4 - 2*m**4 - 2*m**4)*(-5*m + 2*m + 4*m) + (-2*m - 3*m + 6*m)*(4*m**4 - 4*m**4 + 2*m**4).\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1021?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510087 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64059384 + -0.07.\nAnswer: -64059384.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 186, 219, 252, 285, 318, 351?\n\"Answer: 33*t + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Let m = -261\/7 - -37. Which is the third biggest value? (a) 2 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1469 - -1478. What is the second smallest value in -0.2, b, -0.7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9174, 3, 1, -24, 0, -4, -5 in descending order.\nAnswer: 3, 1, 0, -4, -5, -24, -9174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -793 + 38*q + 7*q - 44*q + q in the form f*q + x and give x.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38712 divided by -6?\nAnswer: -6452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -35\/2*o**2 + 0*o**4 - 1\/3*o**3 - 3\/5*o**5 + 0*o + 131. What is the second derivative of a(q) wrt q?\nAnswer: -36*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 + 6 = -3*k, 0 = -5*k + 2*i + 24. Which is the second smallest value? (a) k (b) 0.08 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - v - 5 = 0, -101*f - 5*v = -97*f - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1036\/222*(-9)\/8)\/(13\/(-520)*-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 103 + 6?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 471*w + 3348. What are the prime factors of h(10)?\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 6*k + 2. Let q(x) be the first derivative of -x**3\/3 + x**2 + x + 7. Determine -3*j(v) + 8*q(v).\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, 21, -167?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m - 47. Let d be f(7). Let h be ((-46)\/(-25) - 2)*d\/12. Which is the third smallest value? (a) 20 (b) 4\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {c: 5, y: 7, h: 1, r: 2, p: 3, w: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 425*m + 2124. Let s be w(-5). Is s < -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 = 4*y - 7*y, 6*y = 5*p + 33. Let w(s) be the first derivative of -29 + 5\/11*s**2 - 4\/11*s + 8\/11*s**y. Let w(o) = 0. What is o?\nAnswer: -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x - s - 17 - 7 = 0, -5*x + 2*s + 5 = 3*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 418388269 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = 20. Suppose -3*a + h*a = 1. Let b(k) = 2*k**2 + k - 1. What is the units digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 + 132. Let w = -15719\/79 + 199. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 9794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 246*t - 27. Let j(d) = 49*d + 1. Let b(z) = 5*j(z) - k(z). What is b(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnjn when four letters picked without replacement from nnnjnnnnj?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-12)\/(-46765)) + 1. Let o = d - 3902. Find the common denominator of 47\/14 and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108.66 - 109.06. Which is the nearest to -1? (a) h (b) 2\/11 (c) 7\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biippfpipjfb. What is prob of sequence ppf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.320248m to nanometers.\nAnswer: 2320248000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (1 + -2)\/(((-7)\/(-14))\/(-1)) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 2. Let w be z(-1). Let t = -0.2 - -0.1. Let q = 0.16 - -0.14. What is the nearest to t in q, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*m - 24 = 3*m, 0 = -2*m. Suppose 0*x = 2*x + 3*p - 2, -5*p = x + y. Find the third derivative of -3*o**6 - 4*o**6 - o**x + o**4 - 9*o**2 wrt o.\nAnswer: -840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144638245 to the power of 1\/2, to the nearest integer?\nAnswer: 12027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + n = -5, 165*s + 15 = 170*s + 5*n. Let y be (-10)\/(-10) - 2\/(-2). Solve 2*d + s = -y*i + 4, -d - 3 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*k**5 + 5*k**4 - 2*k**3 + 2*k**2 + 22836*k + 5 wrt k.\nAnswer: 5920*k**3 + 60*k**2 - 12*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -151, -106, -23, 110, 305, 574, 929?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 14. Suppose 6*u + 37 - 1 = 0. Let i be j(u). What are the prime factors of (-158)\/i*(4 + 0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0 - 1\/4*l**4 + 1\/60*l**5 + 0*l + 0*l**3 - 4*l**2. Determine n(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 73531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -5, 9, -104?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/2*((-2 - 3) + 3). Let v be (-4)\/y + 4\/(-10). What is the closest to v in -1, 0.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17016003 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3*g*u + 3412*d**3*g*z - 5*d**3*u*z - 29*d**2*g*u*z + 2*d**2*g*u - 4*d**2*z - 2*d*g - 9*g wrt d?\nAnswer: 24*g*u + 20472*g*z - 30*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4\/13 - 4868*f**3\/13 + 4536006*f**2\/13 - 70448888*f + 139505080 = 0?\nAnswer: -3190, 2, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, -4, 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-6))\/(12\/(-1188)). What are the prime factors of -1*(5 + -1 - u)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:09 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/2*(-2)\/(24\/9). Solve 3*r + 2*r - 4*v = -13, 0 = -v - l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 9 + 54 - 43. Determine l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**(-6)))\/b))**32*(b**4\/b)**25 assuming b is positive.\nAnswer: b**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 11:19 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21*(-1 - 6). Let c(z) = -9999*z**2 - 2*z. Let n be c(s). Round n to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {a: 2, k: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 838*a**2 + 95*a - 22. What are the prime factors of o(6)?\nAnswer: 2, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8388 rounded to the nearest one hundred?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {a: 2, o: 1, h: 4, y: 4, w: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -278640\/7 (b) 20 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -592104840 to the nearest 100000.\nAnswer: -592100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -19, -0.17, 0.2, -2\/295?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2165670\/825)\/(-26) + 101.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.86427628 rounded to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 187 = 130*l - 135*l, 4*l + 86 = 2*l + 4*u for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w + 1. Let b be f(2). Let d = b + 16. Suppose 0*x - d = -x. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 - 7*p**2 + 4*p + 3. Let l(v) = 4*v**2 - 5*v**3 - 2 + 2*v**2 + v**3 - 4*v + v**3. Let k(c) = -3*l(c) - 2*y(c). Factor k(i).\nAnswer: i*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -191 * 0.2.\nAnswer: -38.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*((-2916)\/(-54))\/6696.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 292057875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.94 (b) 3\/5 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/64561 and 71\/42105?\nAnswer: 968415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + 5 + 0 + (0 + -2 + -2*sqrt(175) + 5)**2 + -3.\nAnswer: -60*sqrt(7) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -959, 1.\nAnswer: -959, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8339687 - 7714.\nAnswer: -7714.8339687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 9 + 31\/(-7))\/(4\/(-7)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190 - 27. Let m = 306 + z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(1305\/232)*(-5)\/(-2). Suppose -2*f - 3*f = -290. Let t be (3\/f)\/((-18)\/b - 5). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3\/3 - 8*k + 2. Let t be n(6). What is the tens digit of t\/(-8)*(-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 4, -i + 13 = 4*v. Let x be 1\/v*(-16)\/(-4). Let r(m) = m**x - m + m. Let t(g) = -g. Give t(r(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98)\/sqrt(2)*-6)\/(sqrt(28)\/(sqrt(4)*-3) - -4*(sqrt(7)*1 - sqrt(7))).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 22*k + 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/764 or -1?\nAnswer: -9\/764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 399239999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1575823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 - q - 18. Let h be u(0). What is the units digit of 6\/h - 182\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Suppose 0 = -3*x + 6 + 9. Suppose 0*j + x = 5*j. What is the remainder when (-7)\/j*(-12)\/3 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 2*b**2 + 2*b + (b - 3*b + 0*b)*(7*b - 3*b - 2*b) - 19032*b - 239*b**2 + 19032*b + (1 - 1 + b)*(1 - 2*b - 1) to f*b + o*b**2 + l and give o.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 3*f - 7 + (-3 + 5 - 3)*(1 - 1 + f) + 2*f + 3*f - 3*f)*(-2 + 3 + 1) to the form y*f + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2245 - 2083. Suppose 7*o - 21 = 4*o. Suppose -g = -o*z + z. What is the highest common factor of 54 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 512 = v. Find the common denominator of 103\/78 and -10*(-20)\/v*(-2)\/(-4).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70993*u - 10 = 71072*u - 1017 - 99 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*h + 10 = 0, 2*w + h - 3 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/5))**(3\/10)*w**(2\/9)\/w**21 assuming w is positive.\nAnswer: w**(-9161\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 9*z = -6*z - 3*z + 720 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/((sqrt(144) - sqrt(9))*1).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3 - 2782*a**2 + 466400*a - 20180864 = 0?\nAnswer: 88, 2606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1716 by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*j + 1 + 120*j**3 + 1 + 18*j - 8*j + 92*j**2 + 50*j**4 = 0. Calculate j.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**3 + 728*t**2 + 53*t + 4734. Calculate k(-91).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(16\/504) - (5 + (-12 - -1)). Solve -5*p = w*t - 65*t + 22, -5*p - 5*t = 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21354969 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/30 - w**4\/12 - w**3\/6 + 2*w**2. Calculate the remainder when n(-5) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 556244 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by 112.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*r**7)\/(((((r**(-6)\/r)\/r)\/r)\/r)\/(r*r\/(r*r\/r**9*r))))**(-7\/5) assuming r is positive.\nAnswer: r**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 651826.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from znnkttnntknh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44994215*n**2*o**3 + 579*n**2 + 2*n*o**2 - 335*n*o wrt o?\nAnswer: 269965290*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*w + 21, 4*z + 0*z + 20 = 0. Let n be (-184)\/(-138) + -13*(-4)\/(-30). What is the nearest to n in w, 0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11146467509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -975 + 677. Let d = 298.00562 + n. What is d rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, t: 8}. Give prob of sequence tz.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069432751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/2)\/((-848)\/212)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -84. Let l be 18\/10*165\/198 + -1. Sort a, 0.44, l.\nAnswer: 0.44, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -2.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from {i: 2, h: 4, t: 1, u: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -112. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144768 and 442?\nAnswer: 2461056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 179495 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 + -283 + (-29 - -14) + -130.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 6*u - 4. Let c be w(-3). Let g(j) = j**3 + 4*j**2 - 6*j + 1. Let y be g(-5). Suppose -c = 7*v - y*v. Put v, 0, 2 in descending order.\nAnswer: 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 - p + 2. Determine j(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/111))\/f**(-44)*(f\/f**27)**(-14) assuming f is positive.\nAnswer: f**(45401\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 196*w + 755. Let p(l) = -24*l - 93. Let z(s) = 2*o(s) + 17*p(s). Give z(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708\/456 - 52\/988\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/130 and 31\/520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 3*o**2 - 3*o - 1. Let w be y(-2). Let f = 91 - 65. Calculate the remainder when 64 is divided by (w - 3)\/(((-16)\/f)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 + -5.6. Let l = 5 + -3. Let h be l*(-2)\/(-20) + -1. What is the closest to 1\/3 in 0.3, c, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38206464 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-i**2 - i**2 + 0*i**2) - 2*i**2 + 1 - 1 - 14*i**2 + i**2 - 8*i**2 - 2*i**2 - 2 - 2*i + 3 - 3.\nAnswer: -27*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/5)*x*x**(-16)*x\/(x\/(x**(1\/6)\/x))*((x*(x*x**(2\/9)*x)\/x)\/x)\/x assuming x is positive.\nAnswer: x**(-1423\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 160088*n**2 + 9*n + 160082*n**2 + 3.\nAnswer: -6*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v - 6, 2*v + 8 = 2*y. Suppose y = z - 3. Let r(p) = p + 1. What are the prime factors of r(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 6*g - 24 = 0. Suppose 3*o - 576 = -g*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 - 150. Solve 4*f = -2*i + 5*i + 3, -o*f + 2*i + 2 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*b - 138*b = -2055 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n**2\/9 + 1060706*n\/9 + 101020\/3 = 0. What is n?\nAnswer: -2\/7, 75765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 2. Let n be d(-2). Suppose -f - n*y = -5*f + 6, 4*f + 4*y - 24 = 0. What is the first derivative of -5 - 8*r**3 + 2 + r**f + 3*r**3 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 7826.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98174 = -9539*x - 998811 for x.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a0579 (base 12) in base 9?\nAnswer: 1714503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 80*k + 3*k**2 - 8*k**2 - 80*k.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**5\/20 + 5*l**4\/12 - l**2 + 11*l. Let u(v) = -v**2 + v + 3. Let j be u(4). Let f = -4 - j. Determine w(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4d (base 16) to base 10\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/4 - v**3 + 3*v**2 + 3*v - 8. What is t(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 7*y**3 - 2*y**3 + y**3 + 3*y**4 - 5*y**3 as a*y**2 + b*y**4 + f*y + c*y**3 + p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5931 - -0.4931. Which is smaller: 40\/81 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*g - 9*g + 191747 = 0, -g - 47928 = -f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 653.4 + -1158. Let l = i - -505. Is 42 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -10 (c) 0.4 (d) 1700 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {i: 2, w: 6, e: 2, r: 1, o: 3, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 437 = -525 + 408 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0*r**3 - 20*r**2 + 48 + 61 - 129 + 4*r**3. Let n(h) = -h**2 - 1. Determine 20*n(w) - y(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, -1.04, 61, 184, -1\/5, -2\/3?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-76) - (-2)\/(-8). Let n be (40\/50 - 32\/8) + 4. Put z, -3, -1, n in increasing order.\nAnswer: -3, -1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 2, a: 1, p: 1, v: 2}. Give prob of sequence ap.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from eeyyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2110 by 211.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j**2 - 2*j**2 + 2*j**2)*(j + 2 - 2) - 89*j**3 - 101*j**3 + 7*j**3)*(j**2 + 2*j**2 - 2*j**2).\nAnswer: -185*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2. Let y(q) be the second derivative of -1\/2*q**3 + 4*q + 0 + 0*q**2. Give w(y(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 9*t**2 - 5*t - 17. Let q be 5\/(-20) - (-99)\/12. What is the units digit of z(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w. Let v(b) = 6*b. Let j(q) = -11*v(q) + 4*x(q). Let s(r) = -17*r. Let o(f) = f. Let d(m) = 5*o(m) - s(m). Calculate d(j(a)).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 82.3. Let r be -2 + (0 - (-43)\/15). Let q = -8\/15 + r. What is the biggest value in n, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/122016 smaller than 1\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 2\/3, 4\/13, 3, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106.4707619 - 19.52924165. Let h = a + 126. What is h rounded to seven dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 4 - 1 + 0 - 1. Let p be d(3). Let v = 1537\/9 + -171. Sort v, p, 2\/3 in increasing order.\nAnswer: p, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 36 (b) -0.1 (c) 3 (d) 2 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 91. Let q = f - 44. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1382*w**4 - 9*w**3 + 28*w - 2942. Let a(c) = 691*c**4 + 4*c**3 - 12*c + 1472. Let b(o) = 7*a(o) + 3*x(o). Find the first derivative of b(k) wrt k.\nAnswer: 2764*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*n**2 - 52*n**2 + 2*n - n to w*n + s*n**2 + o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4332 in -0.3, 1\/6, 0.055, 4\/5, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Let z be 1*((0 - -3) + 1). Let o(f) = 2*f**2 - z*f**2 + 3*f**2. Determine u(o(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8507, 34145, 76885, 136733, 213695, 307777, 418985?\n\"Answer: m**3 + 8545*m**2 - 4*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 18*c**2 - 18*c + 20. Let f be m(17). Factor 4*g - 73*g**2 + 169*g**2 + 32*g + 196*g**f + 72*g**2.\nAnswer: 4*g*(7*g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.837 * -5\nAnswer: -19.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 27, 4 in descending order.\nAnswer: 27, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooodoookosoesk. What is prob of sequence ooo?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325412 is divided by 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1273\/(-323) - -4) + 270\/34. Solve r*u + 35 = -21 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4*7\/6)\/(2\/(-1461)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.2572931346 and -0.693.\nAnswer: -3.9502931346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17436 - 42287.9.\nAnswer: -59723.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721 (base 16) in base 9?\nAnswer: 8108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 111. Suppose 0 = -d*l + 5*l + 25. Suppose 2*z + 9*m = l*m + 2, -3*z + m = 32. Put z, 5, 0 in descending order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -111, -277, -509?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -155.57. Round y to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g + 3*o - 118, -g = -2*o - 21. Suppose -q = 4*v + g - 4, -5*v - 27 = -2*q. Put q, 5, -10 in descending order.\nAnswer: 5, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32531 (base 13) in base 12?\nAnswer: 44782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*k - f**3 + 14*f**2*k + 1991*f**2 + 697142*f*k - 54*f + k + 3 wrt k?\nAnswer: -f**3 + 14*f**2 + 697142*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3*c**4\/4 - 2*c**3 + 7*c**2\/2 + c. Is d(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 7:08 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27195 and 382935.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 2650*n + 351125.\nAnswer: 5*(n + 265)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 563, -235, -4, 0, -5, 5 in descending order.\nAnswer: 563, 5, 2, 0, -4, -5, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/4))**(3\/2)*q**(-2\/33)*q**(-2\/21))**(-7\/4) assuming q is positive.\nAnswer: q**(789\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/(h\/(h**3\/h)*h))**(-2\/63)*(h*h\/h**6*h*h**(-2\/3)*h*h)\/((h*(h**5*h)\/h)\/h*h**(4\/7)\/h*h*h) assuming h is positive.\nAnswer: h**(-527\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0504 and 0.3378958409.\nAnswer: 0.3882958409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = -0*x. Let u = x - -5. Suppose j - 21 - 10 = u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57495, -230113, -517779, -920469, -1438159, -2070825, -2818443, -3680989?\nAnswer: -4658439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -28 (c) 7.1 (d) 0.01 (e) -8 (f) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -7\/40*a**6 + 0*a + 1\/6*a**4 + 24*a**2 + 11\/6*a**3 + 0 + 1\/30*a**5. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9) + 7\/(-3). Let l be j\/6 - 28\/(-3). Let v = 80 - 44. Calculate the greatest common divisor of l and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1573)*-1 + -4 + 1 + 1*sqrt(1573))*3 + 5 + 5)**2*-4.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -7.3, 15, -1.3 in increasing order.\nAnswer: -8, -7.3, -1.3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -626 (b) 3 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46038*y**2 - 113688*y.\nAnswer: 92076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11848889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/297)\/(19\/(2299\/198)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 8 - 18) + -10 + (-1 - 5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -640.5 - -635.5. Let k = 64 - 52. Put p, k, 1 in descending order.\nAnswer: k, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = a + 5, -13 = -2*a - 5*n + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 7 - (-1 + -26). Suppose 0 = -c - 3*t + f, 4*c - 5*t = 154 + 34. Calculate the remainder when 82 is divided by c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/11)*z**(7\/5) assuming z is positive.\nAnswer: z**(67\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -90369369.\nAnswer: 451846845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76146 + 3?\nAnswer: 76150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-3))\/(24\/9 + -2). Let k = 148 - 144. Let u(t) = -t**2 + 6*t - 6. Let h be u(2). Sort p, k, h in decreasing order.\nAnswer: k, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**4 - f**3 + f**2 + f + 1. Let a(n) = -14*n**4 - n**3 - 14*n**2 + n + 535. Let i(s) = a(s) - y(s). What is the first derivative of i(x) wrt x?\nAnswer: -44*x**3 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -127, 118 in ascending order.\nAnswer: -127, 1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 79 - 3688 = 0. Let r = z - 2140. Let d = r - -1557. What is d rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 + 17*t**3 + 0*t**3 - 98*t**2 + 7*t**2.\nAnswer: -t**3 - 91*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u. Let i(z) = -5*z. Let a(m) = 8*i(m) - 3*r(m). Let n(b) = -8*b**2. What is a(n(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2 + 0*j**3 + 9*j - 3*j**3 + 3938 - 7*j**3 + 26*j + 8*j**3 with respect to j.\nAnswer: -6*j**2 + 2*j + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 11*v + 3036 = 0. Do -1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let t(n) = -5*n**2 - 7*n - 9. Let g(b) = 3*l(b) - t(b). Let r(w) = 4*w**2 + 9*w + 9. Let i(y) = -3*g(y) + 4*r(y). Factor i(p).\nAnswer: (p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(3\/7))\/f)\/(f\/f**2*f*f))**11\/((f**(1\/3))**(-10\/7)*(f\/(f*f*f**0))**40) assuming f is positive.\nAnswer: f**(718\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -869, -1942, -3441?\nAnswer: -5366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - s - 1. Let q(x) = -x - 1. Let o be q(-2). Let k(t) = 2*t**2 + 6*t + 6. Let m(z) = o*k(z) + 6*r(z). Let l(w) = -3*w**2. What is m(l(u))?\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t - 2. Let w be z(-4). Suppose -5*r + w = -2*g + 51, 10 = -2*r. Calculate the smallest common multiple of -24*(-2 - -4 - 10\/g) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134746.\nAnswer: 2, 89, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6041522.75 to the nearest 100000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 3*c - 1. Let t be m(3). Let k = t - -13. Let h be k\/(-8) - (-34)\/8. Solve -4*a = 3*n + 8, h*n + 3*a - 2*a + 2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78646504 to the nearest integer?\nAnswer: 8868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281901007 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*v = 26, -7*k = -9*k - 2*v + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3. Let y be 1*-2 + 6\/2. What is a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(3\/4))\/a**(-41))\/(a**(2\/29)*a)**(4\/11))**(-2\/67) assuming a is positive.\nAnswer: a**(-53415\/42746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1600 and 127\/34950760?\nAnswer: 1398030400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3 - 4*z**5 + 6*z**2 - 20*z**2 + 0*z**5 + z**5 - 2*z**5 + 10*z**5 + 32*z**3 - 32*z**3 + (z**3 - z**3 + z**3)*(-2*z**2 + 1 - 1).\nAnswer: 3*z**5 - 14*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-3))\/((-4)\/6). Suppose 140 = -u + x*u. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214\/6 - 3\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 400, 399, 398, 397, 396?\n\"Answer: -a + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 156 (b) -1815 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*z**2 - 13*z**2 - 4*z**2 - 4 to q*z**2 + h*z + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 142 + 62. Let u be ((-80)\/(-15))\/(34\/s). Let v(t) = -t. Let z(d) = 3*d - 8. Let f(p) = -2*v(p) - z(p). Let k(q) = -3. Give u*k(g) + 3*f(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.671 to 0 dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.04266, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(3*(-3)\/480). Let b = v - -268. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1541.\nAnswer: -5\/1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-259)\/(7770\/320) - 16\/(-1). Factor 2\/3*d**5 + 14\/3*d - t*d**3 - 4\/3*d**4 + 8\/3 - 4\/3*d**2.\nAnswer: 2*(d - 4)*(d - 1)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -41?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g - 2 + 2 + (7*g - 53 + 24 + 27)*(49 + 80 - 18) to the form s*g + f and give s.\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 3ec35ca?\nAnswer: -3ec35cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-2)*2 + 0. Let l be (-2)\/(-5) + j\/60. Let k = -1 + 1. Which is greater: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 3. Let v(n) = -43*n**2 - 3*n + 13. Give -5*u(s) - v(s).\nAnswer: 28*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 28*a + 75. Let r be c(-25). Suppose 3*l - 4641 = 5*m, r = l - 17*m + 14*m - 1547. What is the greatest common factor of l and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 833 in 5, -0.1, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7232350?\nAnswer: 2, 5, 19, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-23)\/46)\/((-1)\/866)?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 + 3*j - 1. Let b(w) = -6*w**3 + w**2 - 2*w + 1. Let q be b(1). Let f(s) = s**2 + s - 4. Let t be f(-4). Let d = t + q. Determine y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.19 + 13.841. Let t = o - 12.111. What is t rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22797*-5\nAnswer: 113985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 47*k + 183. Let o be i(8). Which is smaller: -4\/1265 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-30) - 4152\/(-90). Suppose -4*a = -5*p + d, 0 = -3*p - 4*a + 1 + 1. Calculate the highest common divisor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 10*p**2 + 7*p + 12. Let g be m(9). Which is bigger: g or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 105 = -93 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - 4) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3988762 is divided by 1894.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 10. Let m(l) = l - 1. Let g(h) = -h**3 - 7*h**2 - 8*h + 11. Let w be g(-5). Let d be (-4)\/2 + 2*-4. Determine d*m(k) + w*r(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167406*b - 3 = 167403*b. Is 6\/235 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from ooowfoowooofnwow?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = 0, -1430*c + 1423*c + 8*b = -3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -2630 (c) 988 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50209 and 87653?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.7 - -33. Let h = -131 + 398\/3. Let d = h + -13\/9. What is the smallest value in 4, 0.4, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5480 and 73790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -34. Let r be 10\/(-4)*(5 + 0 - 3619\/715). Which is the nearest to 0? (a) 0.6 (b) o (c) r (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmjz when four letters picked without replacement from qzjmqm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -8)*(0 - -1). Suppose 2*t - 19 = -t + 5*b, u*t + 3*b + 25 = 0. Put 0, t, -3 in increasing order.\nAnswer: -3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 151 (b) -2\/5 (c) -208919\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2112 and 23\/5016.\nAnswer: 40128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o - 7 - 3*o - o**2 + 10 + 7*o**2. Let w(b) = -b**3 - 11*b**2 + b - 5. Calculate 5*m(l) + 3*w(l).\nAnswer: 2*l**3 - 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 19*y**2 - 122*y + 58. Let l = 93 + -64. What is the remainder when l is divided by o(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f = 66*f - 149*f + 56 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*n + 2*h - h, -3*n = 2*h - 58. What is the remainder when 45 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 + 3937*m**2*v - m*z - 616*v*z - 27*v + 3 wrt m.\nAnswer: 4*m**3 + 7874*m*v - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + (-221 - (50 - 22)))*((-24)\/(-10) - 2)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2923*u = -2929*u - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**6\/30 + c**4\/6 - c**2\/2 - c. What is x in y(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -1, 17, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 23760 = -39*q. What are the prime factors of q?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488*p - 3 = -1487*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -3, -5, 1\/37, -0.2, 15\/4 in ascending order.\nAnswer: -5, -3, -0.2, 1\/37, 1, 2, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.73 + -0.730037. Round g to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1079276 and 1324566.\nAnswer: 29140452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 0*g**2 - g**2)*(g - 3*g - 2*g + 2*g**2).\nAnswer: -12*g**4 + 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*a = -6, -3*w + 3*a + 11 = w. Let v(d) = -5*d + 13. Let f be v(w). Suppose -28 = -3*g + 5. Solve -2*p = -g + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 3. Let c be (-4 - 2)\/(21\/(-11) - -2). Let r be (-2 - 144\/c) + 20\/11. Solve 0 = -i + 4*u + 18, l*i + 12 - r = -4*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -521152443?\nAnswer: -521152445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 51813, 13.1, 3 in ascending order.\nAnswer: 3, 13.1, 51813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5487*c - 65546. Determine g(-12).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118327104 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47941 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 989\/3. Is k greater than or equal to 10.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2 and -9\/1958?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/(c\/c**(-1\/4))*c*c)**(-2\/29)*(c\/((c**(-3)*c)\/c))\/(c*c*c**3\/c))\/((c**(1\/8)\/c)\/c**(3\/5))**(-19) assuming c is positive.\nAnswer: c**(-32809\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7526 = -2*p + 9398, -2*j - 33896 = -4*p. What are the prime factors of p?\nAnswer: 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 789*r + 18934. Calculate a(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(13 - 5*q**3 - 13)*(-17*q - 11*q + 44*q) + (-2*q**4 - 2*q**4 + 2*q**4)*(-1 + 0 + 2).\nAnswer: 158*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171.64 - -171. Let f = h + 0.57. What is the third biggest value in 0, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 645*u**2 - 8740*u.\nAnswer: 5*u*(129*u - 1748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*u - 101512910 = -101500118 for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -20, -73, -178, -353, -616, -985?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-2))\/k)\/k**23)\/(k**20)**(1\/14) assuming k is positive.\nAnswer: k**(-157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 820930 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 0.2, 942035?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58 and 143592?\nAnswer: -8328336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 311175440, 622350880, 933526320, 1244701760?\n\"Answer: 311175440*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 8*q - 6. Let z be n(-7). Suppose 3*h + z = 4*h. Is 1 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-30) + (-73)\/219. Let d be (-10)\/(-3) - 4\/(-6). Which is the closest to 0.2? (a) -1\/3 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(539) + -2) - -5*-3*sqrt(539))**2 - ((-6*(sqrt(275) + 0 + sqrt(275)) + 5)*6)**2.\nAnswer: -1188657 + 18072*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*u + 2598 = -749, -3*u + 3343 = 5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 386.\nAnswer: 319\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14667545 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w + 4029 = 74*w. Suppose -w = -27*t + 2. Let b(l) = l**3 + 7*l**2 + 7*l + 8. Let m be b(-6). Solve 0 = -0*q + 5*q + m*r, -t*q - 5*r + 19 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8272, 5777, 3280, 781?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9358, 74890, 252764, 599152, 1170226?\n\"Answer: 9362*k**3 - k**2 + k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558732 a multiple of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.6674 kilograms to grams.\nAnswer: 783667.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 992 + -818. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a95 + -16?\nAnswer: 3a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 32*s - 123. Does 7 divide v(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 6, 1\/2, 7\/8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1533\/220 - -113\/20. What is the common denominator of 27\/82 and y?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2608 + -2615. Put b, 0, -8, 2\/9, -0.3 in descending order.\nAnswer: 2\/9, 0, -0.3, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 14. Solve -4 = z*b - 3*b, 4*b = -2*k - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b. Let z(i) = -85*i. Let p(o) = 35*r(o) - 2*z(o). Let j(q) = -q + 1. Let w(t) = -7*t + 6. Let n(x) = -6*j(x) + w(x). Give n(p(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 2 e when four letters picked without replacement from ennnfuuljnuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*j + 2*d, -3*j - 8*d = -4*d - 36 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**3\/3 + 102895510*y**2\/3 + 529374504698965*y\/3 + 2117496372468020\/3 = 0.\nAnswer: -10289549, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 16222247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/8, -0.2, 4.8 in descending order.\nAnswer: 4.8, 9\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + c + 72*c**2 + 8*c**4 - 73*c**2 - c to h*c + o*c**2 + t*c**4 + q + x*c**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5 - 2*c + 5 - 8. Let s(j) = j**4 - j**3 - j**2 - 2*j + 3. Let g(r) = 3*n(r) - 2*s(r). Factor g(d).\nAnswer: -2*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -2325510031?\nAnswer: -2325510034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**5*o**3 - 4*k**4*o**3 + 25*k**2*o**2 - 4*k*o**3 - 2 wrt k?\nAnswer: -540*k**2*o**3 - 96*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/(-35)*((-720)\/84)\/12?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**2 - 2829*d + 2835.\nAnswer: -3*(d - 1)*(2*d + 945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6 + 6 + 0 + 4*o. Let g(j) be the second derivative of j**4\/24 - j**2\/2 + 3*j. Let u(k) be the first derivative of g(k). Determine n(u(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 65046, -2, 8, 2 in increasing order.\nAnswer: -2, 2, 8, 65046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4054 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -212, -136, -26, 118, 296?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:30 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 896 = 2524. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**3 + 33*n**2 + 3*n. Let m(y) = 2*y**3 + 11*y**2 + y. Suppose h - 44 = -5*w, 249*w - 20 = 245*w + 3*h. Determine w*m(j) - 3*c(j).\nAnswer: -2*j**3 - 11*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197*d**6 - d**4*r + 163*d**2*r wrt d.\nAnswer: 23640*d**3 - 24*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 5*i**2 + 15*i - 11. Let p be t(7). What is the second smallest value in p, 4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:48 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o. Let w(r) = -6090*r. Calculate w(d(m)).\nAnswer: -73080*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7 and 2513474343.3815?\nAnswer: 2513474341.6815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 12 + 69 = 0. Let g be (4*1\/(-3))\/((-3)\/y). Suppose 3*s - g*r = -5*r + 36, -3*s + 30 = -r. What is the least common multiple of 6 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59647225 to the nearest integer?\nAnswer: 7723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2100 (base 3) to base 13\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*a - 648*a - 120 + 120.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1490 divided by 298\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*u = 8678, -8683 = -4*o - 6*u + 9*u. List the prime factors of o.\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23263448, -46526907, -69790366, -93053825?\nAnswer: -116317284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 - -68. Let d = 87.87 + 5.13. Let m = d + a. What is the nearest to -2\/3 in m, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.3. Let r = -27.97 + 40.97. What is the nearest to 0 in 4, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34701*p**5 - 36675*p?\nAnswer: 694020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(8) - ((-3*sqrt(50))**2 + sqrt(2)).\nAnswer: -450 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/40 and -51\/18050?\nAnswer: 72200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 25 = -3*q, -3*v + 2 = -2*q - v. Let a be q + 3\/(12\/8). Let p(f) = f**2 - 2*f - 6. What is the remainder when p(a) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24231\/11 and -2905 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let d(h) be the first derivative of 17*h**5\/20 + h**4\/8 - 206*h**3\/3 + 238. Let a(n) be the third derivative of d(n). Determine a(j(g)).\nAnswer: -102*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 - 14)*(-3*j - 2*j + 4*j).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 14077*p + 975595. What is y(70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - h + 9 = -9*s, -5*s - 15 = -5*h. Let t be ((-2)\/4)\/(2\/4). Put t, s, 3 in descending order.\nAnswer: 3, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 16) to base 3\nAnswer: -110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(-6)*(3 + 15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 927359916 and 2604.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = 30*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 661*u**7\/6 - 11*u**4\/6 + 10*u + 7. What is the third derivative of w(l) wrt l?\nAnswer: 277620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = -r. Let p be ((1625\/975)\/(70\/(-12)))\/2. Which is the third smallest value? (a) r (b) p (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001193031506 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/((-1)\/((-2)\/2)). Let x(u) be the first derivative of u**4\/4 + 13*u**3\/3 + 7*u**2\/2 - 8*u + 137. Is x(r) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717787566?\nAnswer: 2, 3, 17, 137983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*i + 642*i - 1 = -j, -4*j = -9*i - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -614 - -559. Is -52 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -858, -824, -790, -756, -722?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z + 58 = 21*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248868734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/14)\/((-80)\/280)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -702 + 702.193. Round c to 3 decimal places.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 5, c: 1, f: 2, z: 3, n: 1}. What is prob of sequence nof?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 - 22989 + c**2 + 22989.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from oiiwiwww.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-346)\/(-519))\/(4\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 = x. Suppose w - 3*n - x = 0, -n = 2*n. Solve f - w*f + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5263*v*w**5 - 6*v*w**3 - 134534*v*w - 2*w**2 wrt w.\nAnswer: -315780*v*w**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:00 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2876*u + 112196. Calculate k(39).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22862)\/1491*(-9)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.096021 + -5.\nAnswer: -4.903979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-15) + -4)*-18. Suppose 18*x = 2*x + h. What is the greatest common factor of x and 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 268\/9 + (-4)\/(-18). Suppose 0 = -6*x + 12*x - l. Which is the second biggest value? (a) x (b) -3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 8:15 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (31 - (8 + 2 - 5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -270, -935, -2232, -4371, -7562, -12015, -17940?\n\"Answer: -35*a**3 - a**2 + 5*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwii when four letters picked without replacement from iaaauaanivvaiwnnaw?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4858, -9700, -14532, -19348, -24142, -28908, -33640?\n\"Answer: m**3 - m**2 - 4846*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - g**2 - 4*g**2 - 3*g**2 - 2*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Suppose 0 = -t*q + 6 - 0. Suppose 5*j = 2*r - q*r + 24, 4 = -3*j + 4*r. Calculate the greatest common divisor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/106476 and -53\/40?\nAnswer: 1064760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 10*k**2 - 13*k + 47. What is the remainder when 111 is divided by f(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0177921 + -26.5150879. Let t = -0.02288 - s. Round t to zero dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.661824 millilitres to litres.\nAnswer: 0.001661824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -112102 (base 3) to base 13\nAnswer: -23c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -333*q**2 + 6*q + 2. Let i be p(-5). Let h = i + 2025. Let t = -75863\/12 - h. Calculate the common denominator of t and -117\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6743, -14196, -21653, -29114, -36579, -44048, -51521?\nAnswer: -58998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6337759*q**5 - q**2 + 470*q + 16118 wrt q?\nAnswer: -380265540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-872)\/384*-4 + -9. Let s(z) be the first derivative of t*z**3 + 1\/32*z**4 - 1\/4*z + 10 - 1\/16*z**2. Let s(k) = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/124007 and -27\/9539.\nAnswer: 124007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i + 2. Let j(l) = 7*l + 1. Let q(y) = -6*f(y) + 13*j(y). Let x be 9 - 9\/((-54)\/(-12)). Let c be q(x). Let p(b) = 2*b - 5. Determine p(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k + 1. Let y(f) = f. Determine s(r) - 3*y(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170058663 and 16281?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 261162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) -0.39 (c) -551 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 876\/(-22) + 8\/(-44). Let q = 43 + s. Solve a + 2 = 4*i + 23, -31 = 4*i - q*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*d = 14*d + 52*d - 1824 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + 3. Let x = -10 + 7. Let c(r) = r + 1. Let a(f) = x*c(f) + m(f). Let d(w) be the first derivative of 2*w**2 - 167. What is d(a(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 28040724 divided by 6\nAnswer: 4673454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/30 - -1\/6. What is the third smallest value in -12, t, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, -1\/4, -2.2, 0 in descending order.\nAnswer: 0, -1\/4, -2.2, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 45 = 0. Let q be (-3)\/h*54186304 + 1\/(-3). Suppose -q = -5*r + 2387899. 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: Let k = -3215 - -2197. Let w = k - -1015.5978. Let v = -2.4 - w. What is v rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k - 15*k + 76 - 76 + 49*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*a**5 + 5*a**3 - 18*a - 3 wrt a.\nAnswer: -660*a**3 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271 + 274. Suppose 5*d = 3*a + 9, -3*d = -m*a - 2*a + 1. Solve -d = 4*g - 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 19. Let p be l(-16). Suppose 15 = p*d, 4*g - 3*g = 5*d - 27. What is the tens digit of 61 + (-49)\/21 + g\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 56598372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17*m**3 + m**2 - 7. Determine u(-3).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**2 + 5*a**2 - 10*a**2)*(5369 - 5369 - 62*a - a**2) as n + i*a**4 + t*a**2 + b*a + o*a**3 and give o.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {r: 4, k: 3, l: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -116, 0.2, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = 2*d - 212, -491 = -5*d - 3*j. Suppose -5*o - x = x - d, o - 2*x - 20 = 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-9)*d\/d**(-1\/13))\/(d**5)**(2\/53))**38 assuming d is positive.\nAnswer: d**(-212382\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v. Let n be x(-1). Let p = 15 - n. Suppose 2*t - p + 2 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44438 is divided by 5192?\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5 + 4 + 2*q + (2*q + 2 - 2)*(0 + 2 + 0) + 4*q + 2*q + 0*q as o*q + l and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqcqgcjjqogo. What is prob of picking 2 g and 1 o?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 + -2. Suppose 42 = -s + u. Calculate the common denominator of 65\/12 and 8\/44 - 157\/s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.05 + -1. Let i = d + 0.15. What is the third biggest value in i, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**3 - f**2 + 2*f - 1. Suppose 4*b + 2 - 6 = 0. Let i be g(b). Find the second derivative of -i*x + x**2 + x**2 - 7*x**2 wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -238616.99988 - -238653. Let c = b - 36. What is c rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1792, 1830, 1878, 1924, 1956, 1962, 1930, 1848?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*g**4*h + 133*g**3*h**2 + 2*g**2 + 502*g*h - h**2 - 3*h + 8 wrt g?\nAnswer: 1056*g**2*h + 798*g*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/9 + 4*r\/9 + 1\/3 = 0. Calculate r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.018 and -51.3?\nAnswer: 462.6234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*c**2 + 23*c**2 + 44*c**2)*(-6*c + c - 1 + 2*c) - 7 - c**3 + 7.\nAnswer: -85*c**3 - 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3549671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 2)\/((-3)\/120). Let x be (g\/12)\/(2\/(-3)). Suppose -8 = 2*b - 4*z, 0 = -b - 11*z + 6*z + 24. Put 0.5, b, x in decreasing order.\nAnswer: x, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 316*u**2 + 28874*u - 5498. Give d(390).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 3, 8\/9, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0 + 155\/56*y**4 - 1\/112*y**8 - 37\/70*y**6 - 2*y**2 + 25\/7*y**3 + 34\/245*y**7 - 59\/70*y**5 + 45*y. Solve n(f) = 0 for f.\nAnswer: -1, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 712.066142 to 0 decimal places.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 303.01 - 303. Let i = 0.17 - 0.28. Let k = f + i. Which is the second smallest value? (a) 1\/6 (b) -0.05 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmfjmffmzyz. Give prob of picking 1 m and 1 z.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9261 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h + 23. Let t(n) = n. Let l(p) = -5*t(p) + x(p). Let b be l(20). Suppose 0 = b*y - y - 170. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*x**2 - 2)*(388 - 408 - 537 - 990).\nAnswer: 4641*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.21 + 21.21. Which is the closest to -0.09? (a) 2\/13 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a5 (base 14) to base 12.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 3485*c**4\/4 - 2120*c + 2794. Differentiate p(x) wrt x.\nAnswer: 10455*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + t = -5, 17 - 2 = 4*h - 3*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from yhfwhwj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**1)\/p)**(-28)*(p\/(((p*p**(6\/5))\/p*p*p*p)\/p)*p)\/p*p*(((p*p\/((p**(-4\/3)*p*p)\/p)*p*p)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -305233120*q + 120514165.\nAnswer: -305233120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r = -4*m + 125*r - 68, 0 = m - 4*r - 68 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1503575 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 11*f**2 - 5*f + 3. Let d(o) = 5*o**3 - 17*o**2 + 8*o - 4. Let c = -1928 - -1933. Determine c*d(i) + 8*w(i).\nAnswer: i**3 + 3*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 16*i**2 - 2*i**3 - 16*i**2 + 4*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9)*(-9)\/(-2). Suppose u*a - 16 = -a. Determine f, given that -1\/4*f - 1\/2*f**2 - 1\/4*f**5 + 1\/4*f**a + 1\/4 + 1\/2*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 + 141. Let s(t) = -t**3 - 21*t**2 - 23*t - 60. Let w be s(l). Solve 2*p - 2*x - 14 = w, 8*x + 5 = -5*p + 3*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 15\/(-3))*2\/65?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*d**5 - 258*d?\nAnswer: 2220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 1827.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 718523.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-4\/9)))**(-12)\/(r\/(r**(1\/10)\/r))**25 assuming r is positive.\nAnswer: r**(-317\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from cciccici.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14551*q**3 - 1924812*q**3 + 95812*q**3.\nAnswer: -1814449*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68.9406 millennia?\nAnswer: 827287.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 432819617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 2, -50, -168, -376, -698?\n\"Answer: -4*s**3 + 3*s**2 + 9*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40838723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or 146047?\nAnswer: 146047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 311411 and 4183.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/30 + 4*w**5\/15 - w**4\/2 - 9*w**2. Factor x(h).\nAnswer: -4*h*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -727*s + 779*s = 254176. Calculate the highest common factor of s and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*h - 35325 + 12639 = 836 + 63278 for h.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5 = -4*j, -78*a - 4*j - 7 = -81*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1884 divided by -18\nAnswer: -314\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 4:36 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 - 200 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, -3, -25, 2, 3, 5, -587 in ascending order.\nAnswer: -587, -25, -3, 2, 3, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9*-2496.\nAnswer: 7238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-5))\/(20\/50).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1332031 (base 4) to base 11\nAnswer: 6083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 18*r - 16. Give x(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqpq when four letters picked without replacement from qqqqqqqqqqqqpqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/150*3*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -16*z**3 + z**2 + 3*z - 4. Suppose -d + 1 = i, -6 = -2*d + 4*i - 7*i. What is the units digit of h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10779895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 43, -13 in decreasing order.\nAnswer: 43, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 5*c**4\/12 + c**3\/3 - 1400*c**2. Let x(q) = 19*q**2. Give x(g(j)).\nAnswer: 1900*j**2 + 760*j + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/11 - 4*p**2\/11 + 10*p\/11 + 12\/11.\nAnswer: -2*(p - 2)*(p + 1)*(p + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 15*l + 96. Let g be r(-20). Which is the third smallest value? (a) -5 (b) -0.1 (c) 23\/2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20358 from 0.023.\nAnswer: -20357.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 12 = 6*t - 4*h, -2*t + 3*h = 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4*q*w + j**4*q - 11*j**2*w - 2*j*w - 125*j + 2*q wrt j?\nAnswer: 24*j**2*q*w + 12*j**2*q - 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.1, -15, 1\/691?\nAnswer: 1\/691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/9)\/g*g**23*(g**(-19)\/g)\/g**3 assuming g is positive.\nAnswer: g**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*j - 4*j + 153 = 0, -5*j = -3*b + 459. Suppose -4*q - b - 155 = 3*p, -5*q + 263 = -3*p. Let o = p + 236. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 711421 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = -10. Let i = -14 + s. Which is smaller: i or -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-82)*4\/(-15). Let j = 176\/369 - f. Factor j*v + 2\/9*v**2 + 2\/9.\nAnswer: 2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*o + 1414 + 481 = 103 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = 0, -b = 3*b - 3*f - 2061. What is the lowest common multiple of b and 226\/(-75)*-3 - 636\/15900?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30196148 and 946?\nAnswer: 332157628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -270*j - 316*j + 597*j + j**2. Determine u(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a**2 + 1\/1980*a**6 + 0*a - 13*a**3 - 1\/330*a**5 + 41 - 1\/44*a**4. Let m(d) be the third derivative of o(d). Factor m(u).\nAnswer: 2*(u - 3)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 9441808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q - 24. Determine y(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10396 by -5.\nAnswer: 10396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpl when three letters picked without replacement from pcwcwlwcwcpclcpcll.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 7*f**2 - 2*f**2 + f**2 + 9*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -165 + 158 + (44 - 0)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 223*c - 224. Let o be g(1). Is 11\/1513 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12376*y - 1785. Let m(j) = 125*j - 18. Determine -595*m(d) + 6*x(d).\nAnswer: -119*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6*6\/(-4). Suppose -8 + 0 = y + b*f, -25 = 5*f. What is the second derivative of r**y + r**2 + 4*r - 2*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*v**5 + 180*v wrt v?\nAnswer: 2740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from {f: 2, r: 8, m: 2, a: 3}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 129.55 and 276.\nAnswer: 35755.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8325.742 weeks to microseconds.\nAnswer: 5035408761600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -8\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 30 - -5) + 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21747?\nAnswer: 3, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 - 204. Calculate the common denominator of -25\/12 and x\/135*(-165)\/30.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -22*y**3. Let z(w) = 14*w**3 - 21*w - 105. Let d(f) = -3*f**3 + 5*f + 25. Let s(i) = -21*d(i) - 5*z(i). Calculate -5*q(k) + 16*s(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 512.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-2)*(-222)\/296?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 + g**4 + 45*g**3 - g - 133*g**3 - 2*g**2 - 81 - 38*g**3 - 112*g**3 as p*g**2 + w*g**4 + r*g + d*g**3 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(-1\/4)\/n)))**24*(n\/(n*(n\/n**(-2))\/n*n))\/n*n*n\/n**(-6))**(1\/8) assuming n is positive.\nAnswer: n**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -35*i - 46. List the prime factors of q(-6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2\/5 - 20352*w\/5 + 1828656 = 0.\nAnswer: 498, 4590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k - 28*k = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 13. Which is greater: 2\/15 or m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.96 + -0.36. Let s = v + -10. What is the second smallest value in s, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -5, 1, -4 in descending order.\nAnswer: 47, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - r**4 - 1)*(7 + 5 + 4) + (-2 + 1 + 2)*(0*r**4 + r**4 - 2*r**4).\nAnswer: -17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165.163 + -165. What is v rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9595 by -7.\nAnswer: 9595\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*u = -24, 0 = -2*z - 2*z + u. Let h be -41 - z*(-5 - -3). Let o = 661\/17 + h. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - 18. Suppose 4*p = p + 123. Let j = d + p. Solve 0 = 3*q + j + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.55 + -3.5. Let o = -0.05 - s. Let j = 8.7 - o. What is the second smallest value in j, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.492 + 5.473. Which is the fifth smallest value? (a) 1\/2 (b) -0.09 (c) -4 (d) n (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12657442 greater than -12657445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(-2*sqrt(4)) + sqrt(11)*-1*6 + sqrt(11))**2*6.\nAnswer: 3993\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -913, -2512, -5155, -8842, -13573, -19348?\nAnswer: -26167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3894 = -52*r + 50*r. Sort r, 5, -1.\nAnswer: -1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 927*w**2 + 10299896*w - 11111.\nAnswer: (w + 11111)*(927*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11400 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 + 107 + 31*k - 53)*(0 + 2 - 1) to the form x + u*k and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 + 824*s**2 + 1046678*s - 494066636 = 0.\nAnswer: -742, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938713 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = 3*i - 18*g - 4743, 4*i - 6324 = -g. Suppose -3*z + 441 = -i. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24750 = -7*p + 2*p. Suppose 3*i = 0, 5*h - 2*i = 2*h + p. Round h to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stclsacpp. Give prob of picking 1 p and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 15*t = -112. Let o be (3\/2)\/(t\/140). Solve -2*n = n - o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*v = -15 - 5, 5*k + 3*v = 12. Let t(z) be the second derivative of -z**3\/6 + z. Let f(m) = 2*m. Give k*t(h) + f(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5672?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*q + 16575 - 26139 = -357*q + 22620 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3)\/(-3 - 14\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2. Let y be d(-2). Let a = y + -12\/5. Sort a, 3, -4 in descending order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-7)\/((-49)\/35). Sort -5, h, 4 in increasing order.\nAnswer: -5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2386541.\nAnswer: 1523, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/5 - 15724*r**4\/5 - 1428922*r**3\/5 + 5888704*r**2\/5 - 7427736*r\/5 + 596736 = 0?\nAnswer: -7770, -96, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a008 (base 15) to base 13.\nAnswer: 107885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p + p - 2*p**2 - 4*p**3 + 2*p**3 + 2 + 3*p.\nAnswer: -2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1060515964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/50801 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 22*s**7\/7 + s**6\/3 - 154*s**3\/3 + 145. What is the third derivative of i(c) wrt c?\nAnswer: 2640*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -11. Let s be (2\/p)\/(5\/(-110)). Calculate the greatest common factor of 253 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380 - 382. Which is the nearest to s? (a) 1 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/66 + 222\/11. What is the greatest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-13))\/k)\/k**(10\/11)*(k\/k**17)\/k*k**8 assuming k is positive.\nAnswer: k**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1248 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -3.287?\nAnswer: -3.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 1, z: 1}. What is prob of sequence db?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40393 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umf when three letters picked without replacement from mufm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -396 - -393. Sort -2, u, -1, -8.\nAnswer: -8, u, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 106 and -10?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -x - 0*r - 5, -3*x - 2*r = 36. Let w = x - -21. What is the least common multiple of w and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 37.5. Let l = w - 84. Which is the nearest to l? (a) -1\/3 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - (-2 - 5)) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -90*h. Let b(k) = 6*k**2 + 23*k + 7. Determine b(a(v)).\nAnswer: 48600*v**2 - 2070*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -324?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/38513 and 47\/5.\nAnswer: 192565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306823?\nAnswer: 11, 27893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*20\/200*5\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2\/2 - 27*f + 665. Let s(w) = -5*w**2. Give s(l(z)).\nAnswer: -5*z**2 + 270*z - 3645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5722 = r - 2*r, -7646 = -4*m - 2*r. Let n = m - 1327. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5147.04 - -5147. Which is the biggest value? (a) -2 (b) -2.7 (c) x (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.85985 + -21.779386\nAnswer: -17.919536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**2 - 154*o + 3. What is the lowest common multiple of l(14) and 894?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 9 = 4*j, 9 - 6 = k + j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v - 40*v + 101*v + 913 = 0 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 12*k**2 - 11*k - 8. Does 18 divide c(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from smm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41281, 82363, 123445, 164527, 205609, 246691?\nAnswer: 287773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14*a. Let l(q) be the third derivative of -q**4\/12 - 11*q**2. What is p(l(o))?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 940777\/346 or 2720?\nAnswer: 940777\/346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:37 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 + 260*w - 260*w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-1\/17))\/v))**(8\/15)\/(v*v*v*v**16*v*v\/v**14) assuming v is positive.\nAnswer: v**(-547\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*v**3 + 12*v**3 - 119*v**2 - 8*v**3 + 0*v**3 to the form s + h*v**2 + z*v + f*v**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1420)\/1065*2*1*-9*-1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.576.\nAnswer: 0.01152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 1. Let s = 0.1 + -4.1. Let n = s - -5. Which is the nearest to r? (a) 0.5 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 3955.6.\nAnswer: -11866.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 45 (b) -2 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 162?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20108182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.12227 (b) 0.8 (c) 6 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40778.\nAnswer: 2, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + 9 - (3 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:39 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -2.1. Let g = 158.97 - 155. Let m = 0.03 + g. Put y, 5, m in increasing order.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -134\/3811 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t**2 - 23*t - 1 + 16*t + 13*t - 5*t**2. Let y(a) = 9*a**2 - 11*a + 2. Determine -11*g(o) - 6*y(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2132 = 4*t, -5*t + 25*l + 2684 = 19*l. Solve 67*q = t + 4 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3391, 0.09, 14, -2 in increasing order.\nAnswer: -2, 0.09, 14, 3391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51706015781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + n = 5, -20 = -n - 3*n. Let s be (-4*1\/7)\/((-76)\/266). Let p be (-2 - -1) + (16\/10 - s). Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8)\/(y*y*y\/y**(2\/15))*(y**0)**(-15) assuming y is positive.\nAnswer: y**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 11*v + 359. Does 58 divide s(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**2 + 59670*q + 35963375 = 0?\nAnswer: -575, 12509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68b7083 - -5?\nAnswer: -68b707a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 - 6*5\/(-10) - -3 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*v + 12*v - 5*v in the form u + n*v and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26836 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*m = t + 20, 3*m = 5*t + 25. Let f = t - -48. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73333?\nAnswer: 13, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/(-105))\/((-3)\/54). Solve 11*i = 10*i - 2*v + m, -4*i - 9 = -3*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/351 + -667\/2457. Let l = -0.3 - 0.7. What is the closest to -2 in j, l, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 825667737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - n)*(-80 - 48 - 180 - 11).\nAnswer: -319*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35.287, 1\/41, -2.\nAnswer: -2, 1\/41, 35.287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-376)\/(-2) + 28\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 841494 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 + -365683?\nAnswer: -365681.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 788399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13031742 is divided by 797?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6471782 divided by 2\nAnswer: 3235891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23267843*v - 5336487?\nAnswer: 23267843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 769\/70 - 79\/7. Let w = p - 1\/5. What is the closest to -1 in -0.4, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 + 1200*z + 4720 = 0.\nAnswer: -236, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.345 - -7.465. Round w to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 5. Suppose -4*h + 14 = -6, 38 = y + x*h. What is the greatest common factor of y and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769701 - 2?\nAnswer: 1769699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 60*f**5\/7 + 1128*f**4\/7 + 1887*f**3\/7 + 867*f**2\/7 - 3*f\/7 - 51\/7 = 0.\nAnswer: -17, -1, -1\/2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -8*w + 5 + 1\/2*w**2. Calculate the remainder when 12 is divided by d(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/795 and -7\/6?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4 + 6 - 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 3. Let l be i(-4). Let q be l*(-1)\/1 - 30. Calculate the remainder when 34 is divided by 8\/(-12) + q\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2135)\/(-9) - (-12)\/(-54)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 472617425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 12*i + 130. Let k(b) = -2415*b + 110. Let q be k(i). Round q to the nearest 1000.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2717311 to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -622 - -661.3. Let q = l + -38. What is the smallest value in -4, -0.3, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316537520 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 53*d**2 - 14 + 11*d**2.\nAnswer: -42*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -101334591295045\nAnswer: 101334591295050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*a - 3, 0 = 2*y - 2 - 8. Suppose -3*p + 87 = -5*l, 2*p = l + a*l + 53. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/2)\/((-65)\/39))\/(93\/10)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/44*(-8)\/(-3). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -1. Suppose -6*p + 696 - 156 = 0. Let r = p - z. What is the lowest common multiple of r and 6?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -6. Suppose -5*w = -3*y + 4*y - 9, -5*w - 5*y = -b. Suppose w*d + 3 = 3*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64618287 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41110313 to the power of 1\/2, to the nearest integer?\nAnswer: 6412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*3\/15*25. What is the common denominator of 4\/q - 341\/40 and 49\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12) - 7\/(-3). Suppose -r*p = -p - 9. Is (-6)\/(-4)*978\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 481*c - 32746. Calculate the least common multiple of o(212) and 61\/2 + 2\/(-4).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose -3*g - 5 = -u + a*u, -u = -g - 11. Let q be ((-1)\/1 - -4)*u. Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6133433 greater than or equal to -55200884\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 476 + -257. Is 73 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 516\/(-24)*(-696)\/(-1247).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -23*l**2 - 4*l + 5. Let z(j) = 41*j**2 + 4*j - 64*j**2 + 46*j**2 - 5. Let v(m) = 4*q(m) + 3*z(m). Find the second derivative of v(f) wrt f.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24018794.\nAnswer: 2, 1549, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672 divided by -32.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 37324\/9, 27\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 2*z)*(6 - 4 - 4) - 2*z - 4*z + 5*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24397 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-2)*223902\/(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -129 + 121 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0.078, 0.3, -7\/11 in decreasing order.\nAnswer: 5, 3, 0.3, 0.078, -7\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 - 0.6. Let p = -2.3 + u. What is the nearest to -1 in 4, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f - 6 + 43*f - 17*f - 19*f as p*f + k and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h - 65. Give s(14).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 225498 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -5, 43 in increasing order.\nAnswer: -5, 3, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f = 14*f + 3*m + 5, 0 = 3*f - 2*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 43*u - 24*u = u - 204 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 42, 4, -8\/3 in decreasing order.\nAnswer: 42, 4, -8\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 26*b**3 + 2*b**2 - 12*b + 11. Let k(y) = 9*y**3 + y**2 - 4*y + 4. Determine 8*k(n) - 3*p(n).\nAnswer: -6*n**3 + 2*n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 + 0*d**3 - 4*d**3 + 3*d**3)*(2 + 0 - 5*d - 3) in the form t*d**2 + u + w*d**4 + k*d**3 + f*d and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((2 - (6 + -7)) + -1)*1060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 384 = 264. Let u = 317 + t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.65886 + 1.1338244\nAnswer: 6.7926844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.951 - -0.051. Let g = z + 3.9. Which is the third biggest value? (a) 0.1 (b) 3\/7 (c) 1.9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 2*y**4\/3 - y**3\/3 + 22*y**2 - 21*y. Is x(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 407706 and 533154.\nAnswer: 6931002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**30\/q**(3\/32)*(q**(-2\/45))**(2\/23) assuming q is positive.\nAnswer: q**(990367\/33120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(22\/(-33)). What is the units digit of 6\/(j\/((-5)\/2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 234597 (b) -4\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 11, 21, 33, 47, 63?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*k + 1215 - 525 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 7*u**2 - 3*u - 2. Let h be y(6). Suppose -3*a = a + h. Let t = a - -9. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5734500, 5734498, 5734496, 5734494, 5734492?\n\"Answer: -2*g + 5734502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(245) + -2*((2*sqrt(50))\/sqrt(10))**2.\nAnswer: -36 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -409505, -409544, -409581, -409616, -409649, -409680?\n\"Answer: a**2 - 42*a - 409464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-h + 7*h - 3*h)*(169 + 278 + 255).\nAnswer: 2106*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1 (c) -2 (d) -4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:21 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-4166.132\nAnswer: -1249.8396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(sqrt(3) - sqrt(18)\/(sqrt(48)\/sqrt(8))) + -3 + (sqrt(3) + 1 + sqrt(3) + 2)*-6 + 4.\nAnswer: -12*sqrt(3) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-318)\/(-39) - 8 - 118735\/(-299). Let l = 397 - u. Put l, 0.5, 0.2 in descending order.\nAnswer: 0.5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0 - 1\/84*d**8 - 9*d**2 + 0*d - 1\/30*d**5 - 1\/50*d**6 + 0*d**3 + 19\/525*d**7 + 1\/30*d**4. What is z in y(z) = 0?\nAnswer: -1\/2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + 1. Find the first derivative of 354*w - 94*w + 393 + y*w - 57 wrt w.\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 110*b + 55. Suppose 124 = 17*d + 5. List the prime factors of w(d).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 5:50 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1827 = 308*b + 637 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(3\/4)*v)**22\/((v*v\/(v\/(v\/(v*v\/v**(3\/4)))))\/(v\/((v\/(v\/v**12))\/v)*v)))**23)**(-33) assuming v is positive.\nAnswer: v**(-87285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -100?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 + 134)*13\/((-325)\/60). Let u = j - -352. Sort -329, u, -5 in increasing order.\nAnswer: -329, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/17 + 1844512*i\/17 + 425278064768\/17 = 0. Calculate i.\nAnswer: -461128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 1, z: 1, y: 1}. Give prob of sequence ktt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 306018010437 from -5.\nAnswer: -306018010442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(90)*2)\/(4*sqrt(2)*1) - (4 + 1 + sqrt(5) + sqrt(5)*-1 + -1 + sqrt(5)))**2.\nAnswer: -6*sqrt(5) + 301\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58\/7 or -5?\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/12 + (-230)\/4. Let i = x - -60. Solve 5*r = -g + 14, 5*r + i*g + 6 = 6*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 - 483*c + 483*c.\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45147971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 - 5*r - 204. Let j(x) = -x**3 - 4*x**2 - 4*x - 203. Let s(g) = -4*j(g) + 3*p(g). What is the units digit of s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 272, 616, 1098, 1718, 2476, 3372?\n\"Answer: 69*k**2 - k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g = 179674 - 181654 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -156\/955121?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/16 and 143\/(-18) + 0\/2?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.2. Let z(b) = -b**3 - 3*b**2 - b - 3. Let k be z(0). Sort 2, k, p.\nAnswer: k, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + 0.9. Let t = 0.8 + m. What is the biggest value in t, -3, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3))\/sqrt(4) - sqrt(49)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -239*y + 129*y + 11*y + 71. What is the hundreds digit of c(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6504, 6491, 6478, 6465, 6452?\n\"Answer: -13*m + 6517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-1 - 0 - -1) + 2. Let o be (-6)\/z - 5\/100*-5. Let q be 3\/(-4) - (-37)\/12. What is the nearest to q in -4\/7, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 9:44 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5048950264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, -10, -153, -4, -2\/5, 0.2, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11756836 is divided by 3918935.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1077\/8 (b) 12 (c) 0.4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.72 + 7.1. Let n = m - -4.22. Round n to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -7*c + 4. Suppose 8 = z - 3*z. What is the units digit of 4 + z*(-1)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 419612232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3919, -3975, -4033, -4093, -4155, -4219, -4285?\n\"Answer: -a**2 - 53*a - 3865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -23 + 27184\/1008\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-18))\/(-7)*21. Suppose -2*z - 2*z = k*z. Solve z = 3*q - 0*q - i - 8, 0 = -q - i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31823810 by 2.\nAnswer: 15911905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1510852, 3021699, 4532546, 6043393?\nAnswer: 7554240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-3 - (-1 - 1))) + (-137 - -152).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2150*c + 4532*c + 39*c**2 - 2220*c to x*c + i + p*c**2 and give x.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(-31*y**2 - 6*y**3 + 31*y**2) + 23*y**4 - 29*y**4 - 36*y**4.\nAnswer: -54*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 111028, 444152, 999378, 1776706, 2776136, 3997668, 5441302?\n\"Answer: 111051*t**2 - 29*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2 - 98*v + 850. Give s(-36).\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20e + 2d42?\nAnswer: 2f50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, 5.\nAnswer: -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let q(s) = -120*s + 1. Let g(h) = -2*h. Let m(t) = 4*g(t) - q(t). Determine r(m(y)).\nAnswer: 25088*y**2 - 448*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265414?\nAnswer: 2, 23, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1510804863 rounded to four dps?\nAnswer: -0.1511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1182, -1178, -1172, -1164?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.4 (b) 3\/101 (c) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 160 = 145 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + -86. Let f = -27 - -30. Suppose 0 = -l - 2*i + 27, l - i - 90 = -f*l. Calculate the remainder when l is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.4000091 - -15.4. Round u to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -19*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 41*j = -17549. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -7732?\nAnswer: 7730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5177755 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - -1*sqrt(242))*-1)**2 + sqrt(242)*-1 + 0 - -1*(sqrt(242) + -1)*6) + 2.\nAnswer: 55*sqrt(2) + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532600 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiaiiiiiaaa. Give prob of sequence iia.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*b + 5851, 4*b = -3*k - b + 4352. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:37 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s**3 + s**4 - 2*s**2 + 0*s**2 + s**4 - 4*s**4 to k*s + i*s**3 + c + b*s**4 + x*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmooosmnmrsr. Give prob of picking 2 r.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*h - 431*h = 423*h + 190 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7089 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 times 16.66?\nAnswer: 51.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14772 is divided by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + v**2 + 3*v + 4. Let y(c) = 5*c**3 - c**2 - 4*c - 5. Let l(x) = -4*h(x) - 3*y(x). Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485935811?\nAnswer: 19, 25575569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 12*y**2 - 11*y**2 + 44*y - 35*y + 21. Calculate s(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 41\/5 + -12 + 11.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -23 + 26 + -4 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3351340 rounded to the nearest one thousand?\nAnswer: 3351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - ((-1767)\/351 - (-132)\/297))*(-6)\/(-8)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 2*u**2 - 3*u**2)*(-24*u - 6*u**3 + 24*u).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/10191 - 1029616\/662415. Let m = u - -54\/13. Let r = 0 + 0. Is m greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 3*b + 3. Let h(c) = -2*c**3 + 4*c + 4. Suppose 0 = -6*w + 8*w - 8. Calculate w*q(v) - 3*h(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037973961 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8406 in 2\/23, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 46 - 12. Suppose 0 = -w*j + n + 26, -j = -2*j + 3*n + 18. Solve -8*o = -j*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:38 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.4, -4342 in decreasing order.\nAnswer: 0.4, -1\/4, -4342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1260924 and -73\/342.\nAnswer: 71872668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/174 and -5\/48.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 231*y - 1005. What are the prime factors of p(56)?\nAnswer: 3, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -1\/8 (c) 3 (d) 197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from fepcmpq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by -35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556782?\nAnswer: 2, 3, 71, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstmcscctslx. Give prob of picking 1 t and 1 s.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.178 + 0.022. Let m be 104\/(-4) + (1 - -3). Let r be (m\/(-220))\/(1\/(-2)). Sort -2, t, r, -0.4 in decreasing order.\nAnswer: t, r, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 527\/4 bigger than 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836501130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -1.2. Let w = q - 1.07. Let j = 0.27 + w. Which is the nearest to 0.1? (a) 0.8 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*3*(-3)\/(-27). Let l = 1 + f. Let j be 0 + (-5)\/(-7) + -1. Put l, -5, j in descending order.\nAnswer: l, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**2 + 7 + 2*j - 9*j - 1 - 2*j**3. Let c be n(-7). Suppose -3*q + c = 4*m, -101 = -m + 7*q - 5*q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010110 + 10121?\nAnswer: -22222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 6*c - 3. What is h(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 33*d**3 + 13*d**2 + 13. Let s(t) = -16*t**3 - 6*t**2 - 6. Determine 6*h(q) + 13*s(q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s + 2*j = -84*s - 1326012, -2*s + 883982 = 3*j. Round s to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74519, -149038, -223557, -298076, -372595, -447114?\n\"Answer: -74519*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 + 3*x. Let s(y) = -44*y**2 + 14*y. Let t(l) = 28*c(l) - 6*s(l). Let u(h) = 3*h**2 + 4. What is t(u(j))?\nAnswer: 108*j**4 + 288*j**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.095384 millimeters in nanometers?\nAnswer: 7095384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*f + 40 = 0, -5*y + f = 6*f. Let o(h) = 5*h + 7. Let n(b) = -4*b - 6. Determine y*o(m) - 6*n(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 11:18 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 384*p - 1147. Let a be n(3). Solve -2*c - 20 = 4*h, 0*h = a*c + 5*h + 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -10*d + 456. Let q = 62 - 48. Calculate the remainder when d is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/887594 and 61\/201207.\nAnswer: 125150754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*x**2)*(-4*x**3 + 7*x**3 - 2*x**3) + (-x - x**4 + x)*(-3*x + 4*x + 3*x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (246\/(-5))\/(-7 - (-1385)\/200). Let d = -654 + s. Solve -d + 1 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, k: 5}. Give prob of sequence kkkk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*b + 1560 = 448*b - 1185 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 + 146 - ((1 - 2) + 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -3\/4 (c) -5 (d) 2\/647 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 + 274. Suppose 3*c = 3*j - 129, -4*j = c - 23 - k. Factor -8 - j*q**2 + 56*q - 48*q**2 + 11*q**2 - 54*q**3.\nAnswer: -2*(q + 2)*(3*q - 1)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 4*j - 25, -4*j = -0*w - w - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1.68. Let b = 0.21 - c. Round b to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 69 = 5*s. Suppose -2*h + 7*h = -s. Let n(t) = t - 3. Let r(i) = -i + 3. Let j(q) = -3*n(q) - 4*r(q). What is j(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 4*r + 4*r - r**3 - 3*r.\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6527*n - 6491*n = 290078 + 264790. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -5040 (c) 4 (d) 9 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 82. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/15 and 79\/1344?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.008127 + -0.053624. Round f to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/7))**50)**(1\/15) assuming b is positive.\nAnswer: b**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, 972, -2, -11 in increasing order.\nAnswer: -22, -11, -3, -2, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7825 - 38575. Let f = -13215 - c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -8*f**2 + 0 + 1\/54*f**4 + 0*f - 1\/270*f**5 - 1\/27*f**3. Determine v so that k(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 608 + 492?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l. Let i(f) = 3 - 87*f**2 - 1 + 5 - 7. What is d(i(o))?\nAnswer: -261*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 1, u: 3, e: 1, s: 2, d: 3}. What is prob of picking 2 s and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0 + 2*v**2 + 6 + 0. Let d = -11 - 23. Let s = -26 - d. Let q(x) = 1. What is s*q(f) - o(f)?\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2281 - 157*t**2 - 6856 + 2286 + 2289 + 463*t**2.\nAnswer: 306*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (sqrt(8) + -3 + -3)) + sqrt(8))**2.\nAnswer: 24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i + 85876 = 599623. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajbbaabfbf. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8 - 16191*j + 32393*j - 16194*j.\nAnswer: 8*j - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/18 + (-5)\/3. Calculate the remainder when 62 is divided by 5\/(5\/i) - -23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 19.8, 2\/49?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 136, 278, 424, 574, 728?\n\"Answer: 2*y**2 + 136*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**2 + r. Let w be f(-1). Let y = 10 - w. Suppose y*g + 0*g - 4*b - 50 = 0, 5*b + 35 = g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 38*d**2 + 29*d**2 - 59*d**2. Let x(p) = -5*p. Give x(h(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -57. Let n = -36 - g. Suppose -n*c + 716 = 158. What are the prime factors of c?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsop when four letters picked without replacement from oseooolsposs?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97860.\nAnswer: 2, 3, 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.55456 nanograms to tonnes.\nAnswer: 0.00000000000009755456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5891.8 rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1278 - -1285. Solve -20 = -c*v + 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-68)\/64 - (-2)\/(-8). Solve l*s + 6 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:05 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14134 * 1025.\nAnswer: 14487350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*y**2 + y**2 - 6*y**2 - 4*y**2 - 64*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 42. Let r be z(12). Let k = 129 + r. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxx when three letters picked without replacement from {x: 16, m: 4}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*n = -2*l + 21, -3*l + 2*n - 22 = 0. Suppose 86 = 5*w - 144. What is the remainder when w is divided by 2\/l - 98\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/11, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6 and 44\/1923?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 80. Let l(c) = c**2 + 17*c - 7. Calculate the remainder when l(m) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4077327 litres in millilitres?\nAnswer: 407.7327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 1728*f + 8740.\nAnswer: -4*(f - 5)*(f + 437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 3011384512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3245 in -33\/10, 4, -7, -4\/5, 3\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.1, 5, -0.1, 1, -1.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-9)\/h*h*h**(4\/15) assuming h is positive.\nAnswer: h**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = 0, 4*v - 5*g = 5*v - 53. Find the second derivative of -12*t + 6*t**2 + 3*t + 68 - v wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2370458 to the nearest 10000.\nAnswer: -2370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (5 + (0 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 72 = 5*u. Suppose 11 - 2 = -3*y. Calculate the common denominator of u\/15*y\/(15*4) and 19\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390486394?\nAnswer: 2, 195243197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 5. Let v be (32\/6)\/((-2)\/(-3)). Suppose -p*b - 99 = -v*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9ca5c7 - 2?\nAnswer: 9ca5c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:25 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3145 + 62871\/20. What is the common denominator of q and 11\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 385 - 516)*(9*m - 10*m - 8*m)*(-4*m + m + m).\nAnswer: -14778*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5046443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:38 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 39. Let w be 25\/14 + 4\/(-14). Put w, j, -5 in increasing order.\nAnswer: -5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 19*r + 2 - 2.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -15*v**4\/8 - 123*v**3\/8 - 3*v**2 = 0.\nAnswer: -8, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 71314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2 (c) 41250 (d) 1\/4 (e) -2 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44279*k**3 - 27 - 44318*k**3 + 27.\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*((-22*w - 16*w - 7*w)*(-3*w**2 + 10*w**2 + 7*w**2) + 4 - 2*w**3 - 4).\nAnswer: -1264*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 192 - 168. Sort -8, -5, 4, c in increasing order.\nAnswer: -8, -5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*j + 137*j + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(48))**2*-6.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6) + sqrt(18)\/sqrt(3)*5).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -3096, -7542, -13766, -21768, -31548, -43106?\nAnswer: -56442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 0*j**2)*((-2*j - 12 + 12)*(-j + 2*j + 0*j) + 3*j**2 - j**2 + 3*j**2).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(-2*sqrt(300) + sqrt(300)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1)*22\/4. Suppose -4*k - 3*y - h = 0, 0 = 2*k - 3*y + 1. Let j(n) = n + 5*n - 3*n. Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, 70, 289, 598, 997, 1486, 2065?\nAnswer: 2734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3554 or 0.157?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -2914958\nAnswer: -17489748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 1. Calculate d(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*b + 134*b + 132 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -52. Let n be (12\/g)\/((-12)\/(-42)). Solve n*h = -2*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/13843590 and -37\/3057480?\nAnswer: 498369240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3989 + 6.3989. What is the second biggest value in -5\/3, r, -48?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -5*g + f - 40, 10*f = 1729*g + 1734*g - 3466*g + 241 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 + 24*s**2 - 2*s + 13. Let c be a(6). Solve 5*y - 1 = -2*t - 23, 0 = y - 3*t + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 11*b - 28. Let z be f(3). Suppose -2*l - 4*m = -l - 13, 3*m - 12 = 0. Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 954 divide 248659148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -97*l**2 + 974*l + 4843. Give z(-5).\nAnswer: -2452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763b2 (base 13) in base 7?\nAnswer: 14166446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6240 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -3.\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 76*o**3 + 0 + 8*o**2 - 29*o**2 + 10*o**2 wrt o.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 9. Let v(w) be the third derivative of w**4\/24 - 5*w**3\/6 + w**2 - 3718*w. Calculate 4*s(o) - 7*v(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4856\/91 + 560\/13. Let j = -950\/91 - r. Which is the biggest value? (a) -1 (b) j (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, s: 2, o: 6, l: 5, e: 1}. What is prob of sequence eooo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0968*3.\nAnswer: 0.2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*z - 18. Solve 0 = i + 3*r, -2*i - r + 0 = z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 21, 4, 10, 5, -1\/7, 0.3 in descending order.\nAnswer: 21, 10, 5, 4, 0.3, -1\/7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8509, -16840, -25153, -33442, -41701, -49924?\nAnswer: -58105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174701549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**9\/6048 - w**7\/560 - w**6\/360 - w**3\/3 - 22. Let r(s) be the third derivative of k(s). Factor r(z).\nAnswer: z**2*(z - 2)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1))**13\/(b**3*b**(-2\/7)))**(-36))**35 assuming b is positive.\nAnswer: b**19800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431 + 2003101?\nAnswer: 2002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g + 12. Let a be b(-10). Solve -3*t - 30 = 3*j, -2*j + 4*t + a + 8 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 127818*c**2 - 1022416*c.\nAnswer: -2*c*(c - 63901)*(c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 79 - (-87 - -73 - -98)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1aa1537 (base 13) to base 2\nAnswer: 100001101011011000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 0, 2*h - 128 = 4*q + 3*h + 36 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide (-101755 - (-22 + 48))*1\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119974871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 22 - 22 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from hguagyuhhghaazyu.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 + -77208759217.7?\nAnswer: -77208758855.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15256827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) 1\/5 (c) 44 (d) -1\/2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9 - (-49)\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + (9 + -5 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 0)*20\/(-8). Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by 1597?\nAnswer: 83\/1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(-6*(sqrt(5) - 2*sqrt(5))))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + 0 - (1 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -35*s - 175. Let o be t(-5). Solve p + 0*p - 4 = o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264675.09ns in minutes?\nAnswer: 0.0000044112515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-4))\/(((-4284)\/48)\/17).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 3. Let d(s) = -1. Let z = 6 + 9. Let g be -3 + 11 + 12\/(-4). Suppose 3*h + 8 = 4*j - z, 4*h - g*j = -29. Calculate h*p(a) - 4*d(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (4710\/(-48)*-2)\/10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 35 + 14. Suppose 8*w - v = 17. Suppose t + t - w*z - 7 = 0, -t - 3 = 5*z. Let y(s) = -5*s + 1. What is y(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 + 9.029. Let f = o - -0.171. Let z = -5.7 + 6. Put f, 3, -4, z in descending order.\nAnswer: 3, z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -419, -825, -1249, -1697, -2175, -2689, -3245?\n\"Answer: -i**3 - 387*i + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-two fifths of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*u + 30, 5*u - a - 38 = -0*a. Let b(j) = -j**2 + 8*j - 5. Calculate b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/42)\/(((-322)\/21)\/23)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3166198 divided by 26.\nAnswer: -1583099\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1057436089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 6*o**2 - 15*o - 14. Determine n(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.016? (a) -0.5 (b) 2 (c) -3 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 - 1112*k**4 + 13488*k**3 = 0. What is k?\nAnswer: -1124, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 465 (c) -3 (d) -1 (e) 4\/7 (f) -2\/7 (g) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*n + 139 - 922 = 0, -2*n + 763 = 3*b. Suppose 0 = -3*v - h - 338, -2*h = -2 + 6. Let l = v + b. Calculate the highest common divisor of l and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -716, -718, -720, -722?\n\"Answer: -2*g - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -1.3. Let h = -72.54 - -72.46. What is the nearest to m in h, -1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 67856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, -14 in increasing order.\nAnswer: -14, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**2 + 16*r - 32. Let d(k) = 7*k**2 - 16*k + 29. Let f(j) = -7*d(j) - 6*h(j). Let l = 12 - -1. What is the tens digit of f(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4, -5*c + 55 = 3*g. Factor 5*q**2 - q**2 + 122 + g*q + 116 - 222.\nAnswer: 4*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by -5\nAnswer: -249\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) - (-1)\/1. Let b = 12.03 + -12. Let y be -2 - -3*8\/9. Put b, y, x in descending order.\nAnswer: x, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2666*n - 2. Let h be k(3). Round h to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.302 + -0.319. Which is the second smallest value? (a) q (b) -0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2319 - 0*2\/(-4). Is f\/(-11) - (-5)\/((-55)\/(-2)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/32880 and -111\/680.\nAnswer: 558960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.43 and 0.0305?\nAnswer: 2.3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008431761739 rounded to 6 decimal places?\nAnswer: -0.000843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*m**2*r + 68*a*m**2 + 22*a*m*r + 9*a - 788*m**2*r + 2*m**2 - 585*m - r wrt m.\nAnswer: 2*a*r + 136*a - 1576*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence araa when four letters picked without replacement from {b: 6, a: 5, r: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -1\/2*z**2 - 2 + z + 1\/3*z**3. What is the units digit of j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + -93 - (2 + 0 + 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 - 121?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38653 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*b - 128. Suppose -5*w - 225 = -4*z, 0 = 5*w + 9 + b. Suppose -2*s - 36 + z = 0. Is s smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 + -187. Suppose -r = k - 4, -r + l*k + 20 = r. Solve -4*u - 4 = -r*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 - ((-81729)\/12 + -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/11 + (-600)\/(-33) + 1. Let a(u) = u**3 + 11*u**2 + 9*u - 6. Let y be a(-10). Let o be 2\/7 + 15\/21. Solve -y*w = t + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -22.852.\nAnswer: -45.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 9. Let h be (-2 - (-15)\/5) + (-24)\/o. What is the lowest common multiple of h - -19 - (-2 - -1) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11569805 - 0?\nAnswer: -11569805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3770\/3016 + (-21)\/36. Factor 2\/5*g + f*g**2 - 4\/15*g**3 + 0.\nAnswer: -2*g*(g - 3)*(2*g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31124881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(1\/17))**19*(n**(-1\/4))**11*n\/n**(1\/9)*(n*n**(-2))\/n assuming n is positive.\nAnswer: n**(-1679\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(4\/9)*a**0)\/(a\/(a*a**(-4)\/a)*a\/a**(1\/3)))**(-10\/9))**(-21) assuming a is positive.\nAnswer: a**(-3290\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 4, -4*z - 5*k = -145. Let y = 57 - z. Suppose 9*h + 11 = 2*b + 12*h, b - 2*h - 16 = 0. What is the lowest common multiple of y and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4143 + -4048. What is the greatest common divisor of n and 760?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32080 - -41952. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/51922340 and -83\/11632.\nAnswer: 207689360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three halves of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12090319193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/1422432349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/(y\/y**(2\/29))*y**(2\/31)*y**(-3\/10) assuming y is positive.\nAnswer: y**(52443\/8990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1892623 from -0.2.\nAnswer: -0.3892623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77088 = 1894*n - 33*n + 3394 - 95657 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 2*q, -2*q = -3*y - 9. Let w be (1\/y)\/((-52)\/12). Suppose t = -4*t - 0*t. Which is bigger: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*q**2 - 27*q**2 - 7*q**2 to the form j*q + o*q**2 + c and give o.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70424, 140896, 211410, 281966, 352564, 423204, 493886?\n\"Answer: 21*g**2 + 70409*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739, -1540, -2475, -3610, -5011, -6744, -8875, -11470?\nAnswer: -14595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 0.99. Let g = h - -0.16. Let s = g - 0. What is s rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110876.\nAnswer: 2, 53, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 456.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2*(3 - 4). Let n be (-392)\/(-20) + j\/(-5). Solve 0 = -0*i + 4*i + n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21706.503 - -21646. What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 65\/78*((-38)\/10 - -2). Sort 3, 6, a, 1, -1\/9 in decreasing order.\nAnswer: 6, 3, 1, -1\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 49*i + 16. Suppose 5*u + 4 = -x, -5*x - u + 22 = -x. Let c be (20\/(-24))\/((-1)\/x). Let k be p(c). What is the highest common factor of k and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6880 = -4*d - 37156. Let y = d - -60465\/8. Which is bigger: -12 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 13*i + 9*i = -117, -i = 2. Put 1, y, 3 in decreasing order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-972)*6*(52\/(-16))\/13*-4?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/24*-2)\/((-1)\/(6\/(-45)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-60)*-3)\/(16\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let b(i) = 9*i**2. Suppose 2 = v - n, 4*v - 5*n = -0 + 9. What is v*b(s) + 6*h(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2425173500 to the nearest one million.\nAnswer: 2425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let o(i) = -10*i + 1. Let p = -5144 + 5145. Give p*o(b) - r(b).\nAnswer: -9*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tktt when four letters picked without replacement from {r: 1, k: 2, t: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + -2*sqrt(7))**2 - (sqrt(175) + (3*sqrt(175))**2)*-3.\nAnswer: -sqrt(7) + 4766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.3789 - -20.5789. Let m = 0.08 + -0.68. Which is the fourth biggest value? (a) m (b) t (c) -3 (d) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/(48\/(12768\/(-361)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68, -39, 16, 103, 228, 397, 616, 891?\n\"Answer: i**3 + 7*i**2 + i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 7. Let j be q(6). Let x = 9 + j. Suppose 3*s + n - 20 = 5*n, -2*n = -4*s + x. Solve 31 = 2*l - s*c + 5*c, 20 = 4*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 + (-4 - -1) - (16 + (33 - 35))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580.77394 rounded to one decimal place?\nAnswer: 1580.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83650 and 1400?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19514171 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 5, -1, 4 in descending order.\nAnswer: 34, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(104)*2*2 - (sqrt(104) - -5*(sqrt(104)*1 - sqrt(104) - sqrt(104))))\/(-5*sqrt(72)*6))**2.\nAnswer: 1057\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j - 8. Let f be v(-4). Let r be 15\/4 + (-8)\/f. Suppose 0*w - 30 = r*l - 5*w, 15 = -5*l - 5*w. Put l, 1, 3 in ascending order.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/9 + 440*m**3\/3 - 4250*m**2 - 68637500*m\/9.\nAnswer: -2*m*(m - 425)**2*(m + 190)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27011540 or 27011539?\nAnswer: 27011540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 15. Determine j(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-18)\/(-45) - 287\/705). What are the prime factors of 2*(-6)\/4 - (-1 + s)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13177 divided by -319.\nAnswer: -13177\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 217, 650, 1303, 2170, 3245, 4522, 5995?\n\"Answer: -r**3 + 116*r**2 + 92*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/3 smaller than 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2300 * -10639.\nAnswer: 24469700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1 (c) 16806 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10925, 21862, 32799, 43736, 54673?\n\"Answer: 10937*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 5*a + 122 = -19*n, 0 = 5*n - 80*a - 1780 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/11 + 302001249\/6050. Let l = -49915 + f. What is the common denominator of l and -3\/14?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 20414*x**4\/7 - 121784*x**3\/7 - 4194*x**2\/7 - 36*x\/7 = 0?\nAnswer: -3\/173, -1\/59, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.1 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclclvvmvvcm. What is prob of picking 2 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -10100?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/44020 and 101\/744.\nAnswer: 264120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*k**2 - 8*k**2 - 3048*k**3 + 90*k**2 - 11*k**2 + 3046*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 19.7. What is the nearest to 3\/5 in s, -4, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17 - -13)\/(-2 + (-2 - -2)). Calculate the lowest common multiple of 20 and g*((-238)\/(-26) - (-6)\/(-39)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 3. Let i be t(-4). Let h be 2\/(i\/2 - 2). Let k be -1 - h\/42 - -1. Which is the closest to 0.2? (a) 3 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11599*h**3*r**3 + 969*h**3*r - 2*h**2 - 5*h*r**3 - 28*h*r**2 wrt r.\nAnswer: 69594*h**3 - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 + 9*r + 5. Let b be z(11). Round b to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5444656 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-447956.\nAnswer: -49275.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167 is divided by 520.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**3 + 5*q**3 - 3*q**3 + 3*q**3 + q**3 - 6*q**3 + (-2 - 2*q + 2)*(-2*q**2 - q**2 - q**2).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 >= -2160329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13*u**2 + 4*u - 42. Let s(a) = 6*a**2 + a - 21. Let r(d) = -2*i(d) + 5*s(d). List the prime factors of r(13).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 575*w - 115. Let y be i(-5). Is -2989 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3 - 113282*d**2 - 3170720*d - 22192296 = 0.\nAnswer: -56613, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**0\/y)\/y*y*y)**23*y**(-15)*y*y\/(y*y\/(y**(-7)*y)))**(-40) assuming y is positive.\nAnswer: y**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2691 - -69. Does 60 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 2:48 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 8 = 4*i - 2, i + 2*j = 8. Suppose 92 + 0 = 4*o. Suppose 0 = i*f - o - 9. Solve 3 = 3*h + 2*z, -h + 4*z - f - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20210 (base 3) to base 14.\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**5 - 2*j**5 - 3*j**5)*(-3 + 2 + 0 - 9 + 6 - 9 + (2 + 1 - 1)*(1 - 1 + 1)).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 5)*(-2 + 2 + 1)*(2*k + 2 - 2 + (k + k - 3*k)*(-1 + 2 - 2) - 3*k + k + 4*k + 4*k + 0*k - 3*k - k + 4*k - k).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15815 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297028553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*g + 18, -2*p - 2*g = p - 12. Let z be 75\/18*p\/(-20). Which is the closest to 0.2? (a) z (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**6\/144 + 20*u**4\/3 + 8*u - 10. Let b(h) be the third derivative of d(h). Let k(z) = 8*z**2 + 4. Give b(k(j)).\nAnswer: 40*j**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 - 706*o**2 + 90*o + 5 wrt o?\nAnswer: 12*o**2 - 1412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**3 - 11*v**2 + 6. What is the hundreds digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*h**2 - 43*h**2 - 12*h**3)*((-37*h**2 - 69*h**2 + 5*h**2)*(0 + 0 - 2) + 2*h - 2*h - h**2).\nAnswer: -2412*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + q**2 + 4 - 4 - 10*q**3.\nAnswer: -10*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c + 59217 = 58*c - 138263. What are the prime factors of c?\nAnswer: 2, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9386745 and 1230?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -10. Suppose -l = -s*l + 3*k + 964, 5*k = l - 475. Let b = l + -314. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66752303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a9 + -7908?\nAnswer: -8106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 + 6*b - 2. Let a be f(5). Let h = -4 - -8. Suppose 4*l - 318 = a*l + y, 3*y + 1273 = h*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.3. Let k(d) = 5*d**2 - 22*d + 5. Let w be k(4). Let v = -530 + 539. Put 4, w, g, v in ascending order.\nAnswer: w, g, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 31491527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:42 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*x + 36, r - 51 = -2*r + 5*x. Suppose 3*m = 3*i, -m = -6*i + 2*i + r. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(5\/2))\/(i*i**1*i) assuming i is positive.\nAnswer: i**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 18. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32010 and 30525.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 55. Let u be y(-26). Put 181, 2, u in ascending order.\nAnswer: u, 2, 181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002101101020 (base 3) in base 8?\nAnswer: -6205447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 90, 186, 338, 564, 882, 1310?\n\"Answer: 3*z**3 + z**2 + 34*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 + 2*d - 1. Let k be z(1). Let x = k + 2. Let v be (-8)\/30*(-15)\/(-18). Sort 3, x, v.\nAnswer: x, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(34\/(-4))*2\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/674 and 43\/2.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88673 and 0.05?\nAnswer: -4433.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*n = 281*n + 165 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b. Let j be d(-5). Suppose -w - 80 = -6*w. Let k = w - j. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*q = 4*q. Solve t - 3 + 5 = q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:59 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 379549543 >= 379549543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -703493.\nAnswer: 3517465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3119.\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k**2 - 3*k)*(3*k + 0*k - k + (-2 + 17 - 7)*(3 + 5*k - 3)).\nAnswer: -168*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*k = q, 2*q + 8 = 5*k. What is the highest common divisor of 66 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 1\/5, 4\/3, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 8. Let k be i(-3). Let g be 5*(((-6)\/k)\/6 + 0). What is the second smallest value in 15, g, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7))**(-1\/32)*a**(-1\/4)\/(a\/((a\/a**(-3))\/a)))**(-10\/3))**(2\/81) assuming a is positive.\nAnswer: a**(-985\/6804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21437 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19267024*d**2 - 4*d + 786640?\nAnswer: -38534048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 17*s - 62. Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/63 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (-45153)\/1218 - 84\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w + 9. Give r(13).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 10173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2 (b) -1\/7 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/7, -2\/3, 0.1, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 135, 189, 235, 273, 303?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 3, -8, 199872 in decreasing order.\nAnswer: 199872, 3, -8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/30 - (-46)\/(-5). Let b be g\/6 - 0 - 699. Let v = 729 + b. What is the common denominator of -47\/2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 14*k**2 + 6*k - 102. Let p be y(14). Let i be (-2)\/6 + 1056\/9. Let b be 2\/p - i\/(-81). Sort 5, 1, 1.3, b in increasing order.\nAnswer: 1, 1.3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 254678 and 348?\nAnswer: 1528068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 - 2*n - 3. Let r be t(4). Suppose 4*x + 5*w + 2 = 3, 3 = -3*x - 5*w. Solve -f - x*o = 2*f + r, 6 = -2*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(240) + sqrt(240))*-2)\/sqrt(8))\/(((sqrt(800)\/sqrt(5) - sqrt(10)) + sqrt(10))*3).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 441 - 318. Calculate the remainder when i is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 10783734 (c) -1\/13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -88049708 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Suppose 3*y - 96 - 144 = 0. Let k(a) = y*a**2 - 20*a + 20*a. Give h(k(b)).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*h = -19, -2*j + 24*h = 28*h + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.94 + 39.94. What is the closest to 2\/5 in -5, m, 4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234472259 by 2.\nAnswer: 234472259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/10 - 7\/5. Let y = -10.9 - -11. What is the second smallest value in 1, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -11*b - b. What is the greatest common factor of 112 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39789 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 84*f + 440 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yara. Give prob of picking 2 a and 1 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*d + 8 - 20, 3*u + 3*d = -12. Solve -t - t - 4 = u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -2*f**3\/9 + 4*f**2\/3 - 3. Solve n(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. What is the units digit of -13*(-4)\/8*a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 190 + 190 - 9*h in the form r + b*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41228 is divided by 162.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3166520 to the nearest ten thousand.\nAnswer: 3170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1b0?\nAnswer: -1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -824 - -830. Solve -5*w + s = -4, m*w + s + 3 = 10*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 758, 1464, 2014, 2330, 2334, 1948, 1094, -306?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.7 + 21.5. Let v = -18 - r. What is the smallest value in 3, -0.05, 1\/7, v?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 587, 2, -5 in descending order.\nAnswer: 587, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**4\/6 - i**3\/2 + 8*i**2. Let u be a(2). Solve -2*y + 21 = -u*o, 5*y + 29 = -3*o + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*h + 40, 5*k - 4 = -h - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.036399 - 130.066902. Let x = -0.069503 - u. Let j = x + -73. What is j rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7304.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 6\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14582239 + 7?\nAnswer: 14582246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (sqrt(187)*2 + sqrt(187))\/sqrt(11) - sqrt(17) - -1*sqrt(1377))*-6*5*-5)**2.\nAnswer: 55080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18707)\/(-78) + (-4)\/(-24). Let v = z - 237. Solve 5*f - 5 = -v*j, 0*j + 6 = 2*j + 2*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28305.388 rounded to the nearest 100?\nAnswer: -28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 210, 415, 622, 831, 1042, 1255, 1470?\n\"Answer: p**2 + 202*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + w**2 - 6 - 2*w + w. Let g be b(-5). Solve -1 = 2*y + p, -3*y = -y - g*p - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Let n(u) be the first derivative of -u**4 - 2*u**3\/3 - 5*u**2\/2 + 7*u - 2. Let j(m) = 6*m**3 + 3*m**2 + 8*m - 11. What is q*j(x) + 8*n(x)?\nAnswer: -2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 + 171.9999682. Round t to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 135\/27 + (-2 - -8). Let n = 12 + -8. What is the nearest to 2 in v, n, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 28 - 21) + 22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161 - 161 + 139*a + 255*a)*(-3 + 6 + 3*a + 0*a) to m + j*a + x*a**2 and give x.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 + -156. Solve l = -5*d + 15 - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1348 + 1402. Calculate the highest common divisor of d and 1917.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -33.75.\nAnswer: 168.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401\/(-10)*-10*(-1 - -4) is divided by 238.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 2\/9 (c) -1398 (d) -3 (e) 3 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5884207 and -0.03.\nAnswer: 176526.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/8 + 0)\/5. Suppose -3*u = -4*u + 2, -2*j + 3*u - 1870 = o. What is j rounded to the nearest 10?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 2. Let s = 11 - k. What is the smallest common multiple of 4 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47 and 2154096907.2.\nAnswer: 2154096954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 88, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (146\/(-6))\/(3\/9). Let g = 44 + x. Let l be g\/(-9) - 8\/36. Solve 0 = 2*n - n + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5850867818?\nAnswer: 2, 157, 18633337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/19 (b) 0.1 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.73 * -0.3.\nAnswer: -0.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:59 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 78, 98, 90, 42, -58?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453 by 151.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 2*q**5\/65 + 3*q**4\/26 + 2*q**3\/13 + q**2\/13 + 5. Factor t(c).\nAnswer: 2*c*(c + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215975 is divided by 3166.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 - 2. Let s(a) = -3*a**2 + 3 + 3*a**2 + 5*a**3. Let w be 3*((-2)\/(-3) - (-7 - -5)). Let o(i) = w*p(i) + 5*s(i). Differentiate o(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2. Let l(m) = -7738*m. What is g(l(y))?\nAnswer: -119753288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - m = -2, 4*i + 0 + 11 = -5*m. Let o(l) = 178*l - 3. Let t be o(i). Calculate the greatest common factor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/7 - 47188*c**2\/7 + 161664*c - 6788160\/7 = 0 for c.\nAnswer: 12, 23570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 - 7) + -4 + -5. Let b be (-5 + (-13)\/a*2)*83000. Round b to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (2 - -5 - 13) - (-17 + (-2 - -9))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.18.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 3*z**2 - 6*z - 3. Let i be u(-4). Suppose 49 = 6*l - i. Solve -5 = -4*a - l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21415513*t**2 + 2843572*t + 3 wrt t.\nAnswer: -42831026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 393*0.0637904\nAnswer: 25.0696272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 26\/7 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v - 212*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2633*q - 84705 - 7450 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = 4*f, -f - 12 = p + 3*p. Let y be (-20)\/15 + p\/3. Let l be -1*y*(-3)\/6. Put 1\/6, l, 2 in decreasing order.\nAnswer: 2, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 63, -63, -261, -525, -849, -1227, -1653?\n\"Answer: l**3 - 42*l**2 - 7*l + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + 8590\/(-12810) + 1. Which is the second smallest value? (a) 1 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1416 and -52.73594184?\nAnswer: 1468.73594184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 73274*c**2 + 8*c + 9. List the prime factors of u(1).\nAnswer: 73291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4*(-40)\/(-490))\/((-24)\/28).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - -0.49. Put 0.1, w, 12 in ascending order.\nAnswer: 0.1, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 203?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 829742 divided by 197\nAnswer: 829742\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-17) + (-636)\/(-204). Solve -4*z = 4*y, -2*y - x*z - 8 = z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trs when three letters picked without replacement from krsrsttesr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 14. Let b be m(-9). Suppose 0*l = -b*l + 220. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 4*v - 5, 4*v = 3*w - 4. Let r be 23\/7 - (-4)\/(-14). Suppose b - r*j = -0*b + 19, w*b - 31 = 3*j. Solve b*k - 16 = -0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*q + 35 = 0, 5*m + 4*q = 4*m + 1. What is the first derivative of 29 + m*g**4 - 4226*g + 4226*g wrt g?\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.68741ng to milligrams.\nAnswer: 0.00000568741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from zzzzdzddzzzzzzzzdzzz?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3\/64, -0.2, -2.\nAnswer: -2, -0.2, 3\/64, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*h + 174 = 54*h - 78 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 - 2*x**2 - 9*x**3 + 8*x**3 + 2*x in the form b*x**3 + m + w*x**2 + z*x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.926012 rounded to zero decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -2722.2348 rounded to 0 dps?\nAnswer: -2722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7561?\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 8*g + 5. Let n be q(0). Let j(l) = -3*l + 16. Calculate j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53760 is divided by 222?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*g = -500*g - 1290*g - 785*g + 200040 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 130*g - 47*g to y + k*g and give k.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -25. What is the tens digit of (2\/g - -953) + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 + 109. Let k = 8 - m. Suppose -4*t + k = -2*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 21*v - 12. Let a be x(11). Is (1486\/8*(5 - 9))\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 2\/9, 3\/2, -0.627?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -5*a**4\/2 + 7*a + 10. Differentiate b(r) wrt r.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964900 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -84434 <= -84435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 37 = 1. Suppose -a + v = a. Calculate the remainder when a + (1 + -2)\/1 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*t**2 + 5*t**4 + 5*t**5 + 1341 + 33*t**2 - 80*t**3 - 670 - 671.\nAnswer: 5*t**2*(t - 4)*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((3 + (sqrt(153)*4 - sqrt(153)))*-5 - (1 + sqrt(153) + sqrt(153)*3 + -2)))**2.\nAnswer: 1938*sqrt(17) + 55522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12666, 1 in increasing order.\nAnswer: -12666, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9859 + 4919 - 62*h**3 + 4975 to w*h**2 + n*h + f + z*h**3 and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -111800.8 - -3\nAnswer: -111797.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 29, 116, 289, 578, 1013?\nAnswer: 1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3449*v**3 + 3*v**2 - 43. Let f(t) = -1149*t**3 + t**2 - 16. What is 8*f(h) - 3*l(h)?\nAnswer: 1155*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 1. Let f = -51 + 55. Let z(c) = c + 2. Calculate f*z(w) - 6*l(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/119 + 9*33\/(-63)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 - 11 = 0. Put 4, -3, k in increasing order.\nAnswer: k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441.96686 - -442. Round t to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 7*k**2 - 7*k - 3. Let x be m(6). Let s = -58 - x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/5)*o**(-1\/18)\/o)\/(((o*o*o*(o*(o\/(o\/o**(2\/5)))\/o)\/o*o)\/o)\/o*o**8) assuming o is positive.\nAnswer: o**(-163\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 - 20?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(108) + -5)*1 + -4)*-6.\nAnswer: -1296*sqrt(3) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.2, -3, 3\/2932, 0.33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-9)\/(-36)*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 2 - (-12)\/6. Suppose j - 76 = -5*d. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j**2 + 40 - 142*j**2 + 96 wrt j.\nAnswer: -268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018176.\nAnswer: 2, 3, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 27*t - 88 = 3*d, t - 1 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1670 + 1672.298. What is y rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/6*(-20)\/300.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44893*m**5 - 70*m**2 + 2*m - 18?\nAnswer: 2693580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2 - 2 + 2*b + 0 + 0 + 2*b - 4*b + b + (-4*b + 2*b + 3*b)*(-5 + 2 + 1) + 6*b - 2*b - 2*b)*(4*b + b - b).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14552 and 29448?\nAnswer: 53565912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15505, 15532, 15569, 15610, 15649, 15680, 15697, 15694?\n\"Answer: -s**3 + 11*s**2 + s + 15494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 + -5 - (-10)\/1 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -55. Suppose -2*w + 410 = 3*w - 5*d, -k*w = 3*d - 434. Let a = 185 - w. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1257*u**2. Let b(h) = 226*h**2. Give b(g(m)).\nAnswer: 357091074*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8025 - 8027. Which is the fourth smallest value? (a) 0 (b) -0.4 (c) f (d) 178 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 - 156. Suppose p = -s*p + 180. Solve 0 = -8*m + p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.672 + -3.7. Let g = w - -106.028. Is -0.1 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -40*c**7\/7 - c**3\/6 + c**2\/2 + 14*c. What is the second derivative of a(j) wrt j?\nAnswer: -4800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + (-11367)\/8. Let t = v - -1427. Find the common denominator of 63\/2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(450))\/sqrt(10))**2 + -2*sqrt(605)*6.\nAnswer: -132*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1824, -1869, -1926, -2001, -2100, -2229, -2394, -2601?\n\"Answer: -v**3 - 38*v - 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/54 and -7\/45.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1875 and 1050?\nAnswer: 26250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 7*d**2 - 18*d + 4. Let j be w(9). Let x = j + -3. Calculate the highest common factor of 8 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 8:24 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148875 + -55977055\/376. Let a = -1\/47 - c. Let t = -1.2 + 0.2. What is the closest to -0.2 in a, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.616 and 87826.\nAnswer: 54100.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 151, 259, 389, 541, 715?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/36381 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 412953587 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) -31\/5 (b) -5 (c) -48\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 34. Let h(c) = 2*c + 1. Let m(s) = 6*h(s) + o(s). Let p be m(-3). What is the highest common factor of 128 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4352442 and 46878.\nAnswer: 56581746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1628361 (base 9) to base 14\nAnswer: 197b3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -34202a7?\nAnswer: 34202b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13310 (base 4) in base 16?\nAnswer: 1f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70771562 a multiple of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - (-10)\/25. Suppose 638 = 192*z + 127*z. Solve -2*n + w - z = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 12:18 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 89. Let m(z) = -z**3 - 9*z**2 - 10*z - 8. What is m(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 + 2*m + 2. Let s(f) = 35*f**2 - 11*f - 11. Let a(o) = 2*s(o) + 11*w(o). Let l(n) = 2*n**2. What is a(l(k))?\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2651*h - 4054 wrt h?\nAnswer: -2651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/12*(-246)\/(-1804).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 0.6816.\nAnswer: 14.9952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -699 + 453. List the prime factors of 3 + (6 - x) + -7.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 13777394.\nAnswer: -14\/6888697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) + 13\/3. Let d = -2 - -2. Suppose 2*o + 3*o - 25 = d. Solve 23 = -5*g + o*l - l, 5*g = -5*l - n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 31, 30, 29, 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12445 divided by 5?\nAnswer: -2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230927.7 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 30 = -5*g - 4*a, -4*g - 2*a = 30. Put g, -4, -1 in descending order.\nAnswer: -1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g - 4. Let f(c) = 6*c + 2. Let j(h) = 7*f(h) + 4*o(h). What is the first derivative of j(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*i = -3445, -2*i - 2 = -0*i. Calculate the smallest common multiple of b and 20.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -932058 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3 + 6*i**2 + i - 2. Let k(r) = 6*r**3 + 6*r**2 - 3. Let y(x) = 3*g(x) - 2*k(x). Factor y(s).\nAnswer: 3*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 11*j + 3*j**2 - 331 + 331.\nAnswer: -j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiibbybuyy. What is prob of picking 1 u and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7291, 0, -1725 in descending order.\nAnswer: 7291, 0, -1725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 7*v**4\/20 - v**3\/3 - 8*v**2\/5 - 4*v\/5 - 1. Factor u(g).\nAnswer: (g - 2)*(g + 1)*(7*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588633 rounded to the nearest one thousand?\nAnswer: 589000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.95275 and -1.7.\nAnswer: -13.519675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 24 = 0. Let q(f) = -3*f - 6. Suppose -46 = 9*l - 1. What is the remainder when q(l) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16587 + 16598. Solve -36 = -h*p + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h**2*m**2*u + 1279*h**2*m**2 - 3*h*m**2 + m**2*u + 10*m**2 - 9*u wrt h?\nAnswer: 28*m**2*u + 2558*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 238, 240?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 1\/3, -5\/4, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 63 = -183. Suppose 0 = r - 1 - 0. Is 8 a factor of ((-8)\/(-10))\/(r\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 11*n**5\/20 + 9*n**3\/2 + 32*n. What is the second derivative of v(f) wrt f?\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(150) - (sqrt(72)*4)\/sqrt(12))\/(sqrt(3) + sqrt(540)\/sqrt(5) - 5*sqrt(12)\/sqrt(4)).\nAnswer: 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = -6. Let c be ((-15)\/20)\/(1\/(-4)). Put 2, o, c in descending order.\nAnswer: c, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/3 - 1\/3. Put 5\/2, -5, t in descending order.\nAnswer: 5\/2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 2\/(-1 - -3). Find the second derivative of -z**2 + 10*z - 2*z - 6*z + y*z**2 wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0*z + 15. Let b(w) = 10*w - 4. Let f(t) = -t**2 + 16*t - 54. What is the remainder when b(z) is divided by f(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5200\/(-240)*((-2639)\/169 + 11)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = 39 - 1551. What is the tens digit of (8364\/119)\/(-4*(-3)\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -53*u + 29359. Determine q(554).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:13 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, -2, -1.1, 4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -2 - (25 - 40)) + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 3*o**2 - 3*o + 4. Let i be l(-4). Let p be (4\/(-6))\/((-25)\/(-3)). Which is bigger: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -7221*x + 7195*x. Solve 6 = 261*w - 264*w - 3*u, -7 = x*w + 5*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -5, -82 in descending order.\nAnswer: 2, 1, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1775424888?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/62092 and 34\/14576097.\nAnswer: 58304388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*q - 46, 0 = 4*q + 2*s - 6*s - 36. Let a be -10*10\/20 - (-1 - 8). Solve -q + a = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*p - 177, 9*c - 28617 = -2*p - 28285 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 13) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -14 - (15 + 2 + -7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmi when four letters picked without replacement from mimimmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 189\/(-35)*(-15)\/9. Let i be (-2)\/u - (-38)\/9. Solve i*r - 2 - 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/19)*b*(b\/b**(-8\/3))\/b assuming b is positive.\nAnswer: b**(260\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/3 - 1283426*o**2\/3 + 2566855*o\/3 - 1283428\/3 = 0?\nAnswer: -1283428, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78152720 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -189332? (a) 5 (b) 1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -253*u**3 - 9*u**2 - 158*u + 325. Determine b(2).\nAnswer: -2051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 99, 67, 19, -45, -125?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3\/3 + 256*f**2 + 12288*f = 0 for f.\nAnswer: -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -2081.\nAnswer: -14\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 3:33 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 526.0651 millimeters?\nAnswer: 0.0005260651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.79752 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 30*i**2 - 9*i + 125. What is r(30)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/61, 71\/53 in descending order.\nAnswer: 71\/53, 2\/11, -2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713826889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14161064 take away 4?\nAnswer: -3.85838936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + 1.6. What is the second biggest value in -2\/9, l, -0.6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4407 and 544434?\nAnswer: 7077642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/175 and 38\/155.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4 - 5412705*v**3 + 86825060*v**2?\nAnswer: -48*v - 32476230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-10)*(-20)\/(-88)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 444 = -7*r. Let v = r + 545. Calculate the remainder when v is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14887112+-3457595\nAnswer: -3457595.14887112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 216 = 6*l + 7*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.066, 112, -5, -644, 5\/3, 2 in descending order.\nAnswer: 112, 2, 5\/3, -0.066, -5, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 95?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7 + -2.7. Let w be (0 - 6\/(-4))*2. Is r smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 16 + 4)*(s + 0*s + 0*s) + 3*s + s - 2*s + (1 + 2*s - 1)*(7 - 12 + 8).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 15*o**3. Let z be (1\/3)\/(4\/(-36)*3). Calculate b(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 5. Let c be d(-1). Suppose 5*j = 5*l + 15, 9*l - 4*l = -c*j - 8. Are j and 2\/51 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8894 + -8871. Let p = -125 + 213. What is the remainder when p is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 33*m - m**2 + 39*m - 2 - 75*m. Let c be o(-1). Solve c = -7*v + 2*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14*s**3 + 40*s**2 - 106*s + 36. Let i(a) = -5*a**3 - 13*a**2 + 32*a - 12. Determine -3*f(l) - 10*i(l).\nAnswer: 8*l**3 + 10*l**2 - 2*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 69165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 79520 = 4*u. Let x = -437281\/22 - u. Find the common denominator of -83\/20 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6900*c + 16. Let g(d) = 2*d. Determine h(g(u)).\nAnswer: 13800*u + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 123463737.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 6 - 2*w**2 + 189*w + 89*w + 155*w - 122*w.\nAnswer: -2*w**2 + 311*w + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 2\/51 in ascending order.\nAnswer: 2\/51, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*x + 5 = 110*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*k + 5. Put 4, 0, k in decreasing order.\nAnswer: 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/7)\/(3\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -78856668869.\nAnswer: -78856668868.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = 4*u, 0*l - 3*l + 9 = u. What is the derivative of -w**4 - 15 + 4 - w**l wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 - 30*z - 25 = 0. Calculate z.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -18.6. Let g(y) = -5*y - 20. Let z be g(-3). Which is the fourth biggest value? (a) -2 (b) p (c) z (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10139*b - 81094. Give j(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -153*z**3 + 47*z**3 - 112*z**3 + (2*z**3 + z**3 - 3 + 4)*(4 + 1 - 3).\nAnswer: -212*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2. Suppose -5*v - 11 = -2*m - 5, -2*m = -v - 6. Let l(o) be the second derivative of 2*o + 0 - 5\/6*o**m + 0*o**2. What is l(w(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 + 2*m - 5. Let g be h(6). Let o(n) = -n + 6. Let a be o(g). Let f be (-9)\/(-2)*(-2)\/(-3). Put f, -3, a in descending order.\nAnswer: f, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**3\/3 + 7*r**2\/2 + 5*r - 2. Let h be v(7). Suppose -h*m - 19 = -49. Solve -4*k + 12 = 0, 4*k = 3*l + k - m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = -4. Let n(s) be the first derivative of -s**2 - s - 35. Determine n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 93\/1*(20\/15 + -2). Let i = 90 + u. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 34*s**2 - 19*s + 14. What are the prime factors of z(10)?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 15. Suppose -3*s = -2*j - 12, 2*s = s + j + 5. Suppose -11 = s*y - 35. Let r be a(y). Solve 0 = r*t - 5*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 2. Let i be k(0). Let s = 3 + i. Solve 2*x = -7 - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -70. Sort 0, 5, n in increasing order.\nAnswer: n, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 568823084 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1701773 + -10?\nAnswer: 1701763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1749, 3501, 5253?\nAnswer: 7005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3634.687 kilograms in nanograms?\nAnswer: 3634687000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 + 18 = 0. Let q(v) = 3 - v - o*v**3 + 4*v**2 + 6*v + 24*v**3. List the prime factors of q(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.3, 117, -1731?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6231577 divided by -26.\nAnswer: -6231577\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -1, -23, 4, -4.\nAnswer: -23, -4, -1, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*m - 19 - 7 = 0, 3*m = -2*u + 22. Suppose 4*t + 447 = w, 3*t + 2218 = -0*w + u*w. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88200 and 1848.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -429 - -433. Does a = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1.2, 130, 1, -20921, -2, 2\/3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4939196ns in seconds?\nAnswer: 0.0000000004939196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-306)*8\/2)\/(21\/(693\/(-22)))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 16*p + 244*p + (4*p - p - p)*(0 - 1 + 0) - 2*p + 0*p + p.\nAnswer: 257*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 566 + -212. Is 59 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/49))\/(m*m*m**(-14)\/m*m*m))**(-2\/61) assuming m is positive.\nAnswer: m**(-1180\/2989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x = l, 0 = 4*x + 4. Let j be 84\/15 + (-4)\/(-10). Let v = j - l. Solve q - v*q - 3*g = -15, 0 = -g + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(2 + -3*1). Let l(s) = -7*s. Let m(o) = 6*o. Let k(v) = g*l(v) + 5*m(v). Let w(t) be the second derivative of -t**3\/6 - t. Determine k(w(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6682 and 0.071?\nAnswer: 474.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.337 less than -1.03?\nAnswer: 7.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - sqrt(13)*2)**2 + (sqrt(13) - (sqrt(13) - sqrt(208)*1)).\nAnswer: 4*sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4)*(6 + -1). Let b = -0.05 - -0.55. Let g = b - 1.5. Sort g, s, -2\/7 in increasing order.\nAnswer: g, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20767435 divided by -5\nAnswer: -4153487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -589.76 - -590. What is the closest to -0.1 in -7, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.764437754 rounded to 3 decimal places?\nAnswer: -0.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 15770074?\nAnswer: -2\/7885037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 11*v + 79755*v**3 - v + 3*v**2 - 30*v**2 - 38*v**2 - 79754*v**3 as l*v**2 + n*v + c + t*v**3 and give l.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 35*o - 15*o. Let d(x) be the second derivative of 0 - 2*x + 0*x**2 + 7\/6*x**o. Let z(c) = c. Calculate d(z(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12722500169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/60 and -71\/2128.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10372 - -16011. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.2, -17\/7, -20\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122892 and 400653.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-16)*h)*h)\/(h\/h**(-1)) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 3961?\nAnswer: 3964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = -3*u, -u + 0 = 4. Let m(j) = -j. Let h(y) = -5. Let a(s) = h(s) - 4*m(s). Is a(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218.44 + 218.94. Let n = 3\/8 - 1\/2. What is the closest to -0.1 in n, p, 54?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2590613223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6470087 to three decimal places.\nAnswer: -0.647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/584559 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 6*x + 15. Give h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946424 is divided by 45063.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26004487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/((-530)\/(-75) - 7). Suppose u*r = 3*d + 108, -4 = d + 3*d. Solve 1 - r = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = -27734 + 82383. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*k - 16177 = -7866 + 10481 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2604*l**4 - 990 - 983 + 1996 wrt l.\nAnswer: -10416*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Suppose 3*p = h - 15, 2*h = -q*p - 2*p. Suppose h = 2*w + 4*t, -4*w + 3*t = 22 - 89. Solve 0 = -2*d + 4*z - w + 3, -z - 2 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -381128.\nAnswer: 3\/381128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8538619 and 1843.\nAnswer: 8538619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2652 (base 8) to base 11.\nAnswer: 10a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-14)\/(-6) + -2). Let q = 20 - r. Solve 4*u + q = -0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*p - 5*i, -i = 5*p - 4*i - 8. Let f = 2 - p. Let q be f + 0 + 12\/7. What is the smallest value in 3, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16644 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/60 + 3*m**4\/4 - 521*m**3\/3 - m**2 - 298*m. What is the derivative of s(f) wrt f?\nAnswer: 2*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 16*z + 4*z**3 - 8*z - 3*z**3 - 5*z as c + b*z**2 + l*z**3 + m*z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001844 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 45*v**2. Let k(f) = -19*f**2. What is h(k(o))?\nAnswer: 16245*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -342 (b) 1\/121 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + 48*t**2 - 43*t + 197. Determine l(-17).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 534510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z + 56 = 0. Let h be 4269998\/7 + 4\/z. Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.26 - 26. Let d = m + -2.06. Let h = -1.79888 - d. Round h to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0116211447 rounded to four decimal places?\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = 0. Suppose i = y + 237 - 754. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/15960 and 17\/204540?\nAnswer: 7772520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 433967*n**3 - 15*n + 27384448?\nAnswer: 1301901*n**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/14*(-56)\/(-120) - 5 - 138\/(-80)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1295\/10001 - -29\/137. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 42 (c) 0 (d) 1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 359100523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -2951*b**4\/8 - 14779*b**3\/6 + 28*b**2 + 77. Differentiate x(s) with respect to s.\nAnswer: -8853","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -6*k - 5*t + 35, 5*k - 10*k + 14 = 2*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 109a61 (base 11) to base 12\nAnswer: 84a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2065 and 238630.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**6 + 57*l**4 - 3*l**2 - 166.\nAnswer: -480*l**3 + 1368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:35 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4.8, -7\/3, -0.5, -3\/2?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133303 - -1323?\nAnswer: -131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14773, 14774, 14775?\n\"Answer: o + 14772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2916 - 0.005.\nAnswer: 2915.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 4852*f + 4856.\nAnswer: -4*(f - 1214)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177006559?\nAnswer: 31, 47, 121487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2469 >= -2457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -49, -66, -101, -160, -249, -374?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 4:38 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0*z - 5*z + 16, -2*z - 23 = -3*w. Let l = -5 + w. Suppose -1 - l = -3*y. Sort y, -1, -2 in increasing order.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 42\/35*5*(-320)\/(-12)?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 66. Let a = 28 + c. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478192818 - -478192777.00000135. Let k = 41 + n. Round k to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -9, 1, 0.04?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*r + 39, -5*m + 0*m = -4*r - 43. Suppose -7*a + 6*a + m = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-12 + 40 + -24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 3 - 2*j**2 - 4*j**2 - 3*j**2 in the form n*j + s + o*j**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/2 - 255583*g**2 + 1022335*g\/2 - 255584 = 0. Calculate g.\nAnswer: -511168, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 3:10 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2779*-3.8529\nAnswer: -10707.2091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.91753kg in grams?\nAnswer: 89917.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -76\/297?\nAnswer: -76\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:25 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/45))**(-10) assuming f is positive.\nAnswer: f**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t, 5*h - 3*t + 2*t + 4 = 0. Suppose h = 3*x - x + 30. Is -15 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1575 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7137 - 4792. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45072691 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (38\/(-6))\/((-12)\/1692). Suppose -t - n = -5*g, -g + 2*g + 5*t - 163 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 6. Let f(a) = 68*a**2 - 2*a - 2. Let m be f(-2). Let c = -274 + m. Give t(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 411318 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33009*f - 65891*f + 8989 = -32971*f for f.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r**3 + 23*r**2. Let l(b) = -7*b**3 + 11*b**2. Let a(g) = 5*l(g) - 2*t(g). Find the third derivative of a(s) wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3045 or 3043?\nAnswer: 3045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10129 is divided by 562?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -2 in decreasing order.\nAnswer: 5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:38 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 9*m - 11*m + 5 + 6*m + 2*m**4 to the form g*m**3 + x*m**4 + z + v*m**2 + y*m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58014266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6022 + 1.38.\nAnswer: -6020.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2. Let z(r) = -17*r**2 + 5 - 5 + 8*r**2. What is z(o(m))?\nAnswer: -225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.17, 103, 0.3, 0, 1\/5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2791.39744 to 1 dp.\nAnswer: -2791.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 145.4, -4\/3, 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**4\/6 - 40*m**2 - 3. Suppose -c = 8 - 28. Let w(h) = -17 - c + 37 + 2*h. Give w(b(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 5*b - 1\/2*b**3 + 3\/4*b**4 + 5\/2*b**2 - 1\/20*b**5 + 0. Does 15 divide j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -36. Suppose 0 = -u - 3*u + 44. What is the greatest common factor of y and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58.52 + 66.52. Sort 5, 16, j, -4 in decreasing order.\nAnswer: 16, j, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n - 0*n + w, w = 5. Let s be (-4 - n)\/((-2)\/3 - 0). Suppose -s*b + 880 = 4*b. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 13366716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (3 + 65\/(-11)). Let j(m) = -m + 1. Let g be j(5). Let q = 5 + g. Is x less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q + 130. Let i = 40 + -65. Let v be s(i). Let m(x) be the first derivative of -x**2\/2 + 7*x - 2. Give m(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -2, 2 in increasing order.\nAnswer: -109, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4 - ((-4 - -12) + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 4, r: 5, e: 4, t: 1}. What is prob of picking 2 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -7, 1, -3, 3.\nAnswer: -7, -3, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38972 + -16878. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -6. Suppose 0 = 14*o - 3*o - 44. Suppose 211 - 55 = o*d. Calculate the remainder when d is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/4*(-4)\/5)\/((-360)\/(-1800))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(-1 + sqrt(5)).\nAnswer: -3*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 66485210.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29512 and 1490776.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46763411293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 72*v + 7332\/5.\nAnswer: 3*(v + 26)*(v + 94)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Let o = 149 - 152. Let x = -0.1 - -0.6. What is the closest to k in o, -2\/11, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 1) + (-17 - -10 - -12). Which is the closest to -8? (a) 0 (b) -0.1 (c) 0.4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-2 - -1) + 21 + -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 12*b**2 - 12*b - 8. Let a be q(13). Suppose 0 = -3*i + 2*i + a. Find the third derivative of -22*t - 2*t**2 + 0*t**5 + 22*t + 2*t**i wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, 3, -541 in decreasing order.\nAnswer: 5, 3, -2, -4, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b, -2*v = -v + 3*b + 4. Suppose -76 - 74 = -v*c. Suppose -c = h + 4*h. Are h and -6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29330 - -43401. List the prime factors of k.\nAnswer: 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23393, 0.5, -3, -1?\nAnswer: 23393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29707\/12240 + 8\/765. What is the common denominator of 119\/6 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0008813*0.34.\nAnswer: -0.000299642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 66. Suppose -3*j + 31 = 2*x - 1, 0 = 3*x - j - g. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 1. Let j(a) = 76*a**3 - 7*a**2 - 1. Let z(w) = 3*b(w) + j(w). What is the third derivative of z(g) wrt g?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34260, -46419, -58604, -70827, -83100, -95435?\nAnswer: -107844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 10. Let z be c\/(-4) - 5\/(-20). Let a(x) = x**3 + 2*x**2 + 2*x + 2. Let h be a(-2). Put -1, h, z in descending order.\nAnswer: z, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4518539.\nAnswer: 4518539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17. Suppose 2*w + 0*k + 3*k - 33 = q, -95 = -5*w - 5*k. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7667972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*x + 33669 - 12302 = 0 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1800, 1\/5?\nAnswer: -1800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -1, -752, -5, 1, 22 in increasing order.\nAnswer: -752, -5, -1, 1, 5, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028207884 to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Solve d = 4 - b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = x - 3. Calculate the remainder when 43 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3756 - 1043 - 1055 - 1658 + 35*w.\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*i**2 - 106*i**2 + 159*i**2 - 28 to the form x*i**2 + d + r*i and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/10 + -1 - (90 + -92)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/120 - j**5\/12 - j**3\/2 - 4*j**2. Is 10 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-6))\/f**(-1\/8)*(f*f**2*f*f*f)\/(f\/f**(1\/6)) assuming f is positive.\nAnswer: f**(295\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p = -30*p + 48. Solve -r - p = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -616338 * 0.4\nAnswer: -246535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utnd when four letters picked without replacement from ntnnnubnndnnntuuttn.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-4)*14\/(-7). Let u be 0 + (13 - (2 + -1)). Solve 2*r + u = -5*v - 9, b*r - 5 = -v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -29. Suppose -12 = x*z, 4*z = -r - 0*r - 8. Suppose 0 = 4*s - 10*o + 5*o - 571, -r*o + 765 = 5*s. What are the prime factors of s?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 divided by 105?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 19*f + 165 - 14 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 181364928 and 60.\nAnswer: 906824640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(130500\/108)*-1*(-75)\/(-10))\/3.\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89, -148, -207, -266?\n\"Answer: -59*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -20, -17, -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33735 - 33717. Suppose 19 = 3*f + 1. What is the smallest common multiple of o and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o**2 - 17*o + 215. Let f(m) = 3*m**2 - 3*m + 39. Let i(c) = 11*f(c) - 2*r(c). Let t(d) = -8*d**2 - 6*d - 3. Calculate -6*i(p) - t(p).\nAnswer: 2*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 3*a**2 + 8*a - 6. Let w(h) = -5*h**3 + 5*h**2 + 17*h - 13. Let u(x) = 7*o(x) - 3*w(x). Let g = 6 - 11. What is u(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17114897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -30, 7 in descending order.\nAnswer: 7, 0.1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 24. Let z(o) = -3*o + 1. Calculate f(b) + 24*z(b).\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.07293752 - 2.0724. Round a to 6 dps.\nAnswer: 0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298, 15.4, -0.72, 1\/6 in descending order.\nAnswer: 298, 15.4, 1\/6, -0.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ba2c1 - 2?\nAnswer: -ba2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzztqtqqtzttttzttk. What is prob of picking 1 k, 1 z, 1 t, and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 - 10 = 28*c + 50. Let x(o) = -o + 1. Let r(w) = 2*w + 11. What is c*x(s) + r(s)?\nAnswer: -s + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 - 0.215573492?\nAnswer: -368.215573492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:22 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74772 + 0?\nAnswer: -74772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 28, 41, 52?\n\"Answer: -y**2 + 18*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5428 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)\/(1\/1). Let u be ((-32)\/(-4))\/4 - z. Sort 4, 1, u in ascending order.\nAnswer: 1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294138 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282450*k**2 - 216973*k wrt k.\nAnswer: -564900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 15*b**2 - 24*b - 18. Let c be s(-17). Let l = 315 + c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 161*q**2. Let w(m) = -m + 50. What is o(w(t))?\nAnswer: 161*t**2 - 16100*t + 402500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(98)*2 - sqrt(98) - ((-2*sqrt(98) - sqrt(98)) + -4))**2*-5.\nAnswer: -7920 + 1120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 2 f when four letters picked without replacement from {f: 2, h: 2, e: 1, r: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 5:46 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1066539 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 - 361437*v**2 - 19*v + 166234 wrt v.\nAnswer: -24*v**2 - 722874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 13*j + 9. Let o be b(-13). Suppose -3*z - o = 5*n, -5*z + 0 - 2 = 4*n. Let a(u) = -4*u**3 - 2*u**2 + u. Is a(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*g - 21049, 5*f = -5*g + 44329 + 8291. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 154, 2448?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9621)\/(-4276)*(-16)\/(-306)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -138\/59, 8.\nAnswer: -138\/59, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -29*h + 33*h. Let y be h\/(-3) - (-4 + 2). Find the third derivative of -2*p**3 - 3*p + 3*p + 8*p**y - p**2 wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010172552?\nAnswer: 2, 3, 42090523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**9\/504 - j**5\/30 - j**2 - 2*j. Let y(w) be the first derivative of g(w). Find the third derivative of y(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21100 - 0.346\nAnswer: 21099.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21883?\nAnswer: 79, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 1)*12\/((-264)\/55). Let v be 1\/2 - 1\/(-2). Suppose 5*k - 3*p = -85, 0*k = k - 2*p + 10. Put l, v, k in ascending order.\nAnswer: k, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 846076, 846050, 845978, 845836, 845600, 845246, 844750?\n\"Answer: -4*w**3 + w**2 - w + 846080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + -9.4. Let v = 5 + i. Which is the third biggest value? (a) v (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -233 + -4?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a + 3*x + 13, 3*a + 6 = 2*x. Let c be (-1 - (-2)\/a)*-14. Suppose k - 4*u - 53 = 0, 0 = -k - 4*u - 0*u + c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882647 < 3882647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 18*j**2 + 3*j + 50. Determine f(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -505*w + 503*w, -3*r = 2*w + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 11, -0.27, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*u + 2*u = -1, 0 = -9*i - 9*i + 15*i - 5*u - 14 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/9 + 17942*i**3\/3 + 351007354*i**2\/9 - 50388260438*i\/3 - 33748129052 = 0.\nAnswer: -13659, -2, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-4)\/(-72)*1)\/((-34510)\/(-1827)).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3 - 2*f**2 - f + 3*f**2 - 8*f - 2*f. Let q be n(12). Solve 3*x - 10 = -5*i, -4*i + q*i - 20 = -x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + (sqrt(1584) - (sqrt(1584) - (0 + sqrt(1584)))) + (sqrt(1584) + -2)*4 - ((sqrt(1584) - sqrt(1584)*-1) + 3 + sqrt(1584) + -5))*3)**2.\nAnswer: -288000 + 17280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/22 + (-265)\/(-55). Suppose z + 2*z = -i*a + 20, -3*a = -12. Suppose z = -v + 12 + 28. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50701090937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9*d - 90 = 0. Calculate the smallest common multiple of (0 - -77) + 20\/50*(-5)\/(-2) and d.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768809231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 131*x**2\/3 - 3740*x\/3 - 3872\/3.\nAnswer: -(x - 88)*(x - 44)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23344459*d**3 + 63106*d - 170?\nAnswer: -140066754*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018853 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3114 + -3113. Which is the closest to 1? (a) 16 (b) 4\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 11. Suppose n - 33 = l. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 25*p**2 - 4*p + 105. What is q(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22010 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (2 + -7 - -21) - (-2 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -875.\nAnswer: -874.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 1 - 3 + 0*r)*(1 + 1 + 0).\nAnswer: 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23764 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 179499 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -33, -91 in ascending order.\nAnswer: -91, -33, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 193011073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(44)\/sqrt(11) + sqrt(4))\/(3*sqrt(128)).\nAnswer: 5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.044 and 9\/38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 20. Let p be 100\/l*(-16)\/(-40). Calculate the greatest common divisor of p and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 + 28*k + 3*k**2 + 3 - k**2 - 1 - 2*k**3.\nAnswer: 3*k**3 + 2*k**2 + 28*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12130101 + -10132031?\nAnswer: 1332010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 165 = -2*h + 3*i, 0 = 4*h - 5*i - 335. Suppose 11*x - 223 = h. Calculate the remainder when x is divided by (-2)\/2 - (126\/(-7) - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 71582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2)\/(2 + -1). Suppose h = -2*c + c - 5. Let a(y) be the second derivative of -y**3\/6 + 3*y**2\/2 - y. What is a(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 6074408.\nAnswer: 364464480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17912 - 17741. Let w = 12 + 6. What is the greatest common factor of w and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.55 - -17.17. Let s = w - 20. Round s to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1348*n**4*t - 11*n**3*t - 40695*n**2*t wrt n.\nAnswer: 32352*n*t - 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -111*m + 1097. Give w(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72526774249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 4770.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 + 4 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 12) + (11 - -6 - 7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22009513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5967261.45+2611\nAnswer: -5964650.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 8 - 0) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 2a61c?\nAnswer: -2a625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, x: 11}. Give prob of sequence xcx.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 16 = 14*z. Solve -z*n + 5 = -7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110 and 140?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -369*d**2 + 41 + 5123*d**2 - 8 - 35 to p + g*d + o*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i. Suppose 4*c + i*c + 4 = 0. Is -68*(-4 + 5)*c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 28*p**2 + 50*p - 30. What is the first derivative of b(h) wrt h?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4477 (base 13) to base 7\nAnswer: -36610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-15)*q)\/q)\/(q**3*q)*(q*q*q**(-9)*q)\/q*q*q**(-8\/5) assuming q is positive.\nAnswer: q**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - 2. Let k(n) = n**3 + 14*n**2 + 8*n - 15. What is the units digit of k(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -12. Let k be 16\/144 + ((-84)\/(-18) - 5). Let v = 0.13 + 16.87. Which is the third biggest value? (a) v (b) y (c) k (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 - 4*n + 8. Let w = -13 - -17. Let k be r(w). Let o = k - 15. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.3093504 - -78.34\nAnswer: 78.6493504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -3*r**2 + 0*r**4 + 0 + 0*r + 1\/840*r**8 + 0*r**3 - 1\/300*r**6 + 1\/150*r**5 - 1\/525*r**7. Determine i, given that o(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2627)\/592 - -15*(-6 - (-10 + 3)) - 10.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 20 in increasing order.\nAnswer: -5, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -13080954.\nAnswer: -1\/6540477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 59*b + 2531 = 0, -1137*m + 1135*m + 3*b - 125 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1842 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 676496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 p, and 1 a when four letters picked without replacement from piaiwiipianenaa?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-19))**(-2\/51)*((b**(2\/7)*b)\/((b*b**(-2))\/b))**(2\/193) assuming b is positive.\nAnswer: b**(53684\/68901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4695345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88 + -7264?\nAnswer: -71ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + -4*(-2 + sqrt(700)) + sqrt(700) + sqrt(700) + (2 + sqrt(700)*2)**2 + sqrt(700).\nAnswer: 80*sqrt(7) + 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -35. Let b be (-5)\/(-20) + (-21)\/q. Solve b*t - 6*t = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**3 + 3*d**2 - 12*d + 66. Does 10 divide h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196771229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**2 - 2*j + 3. Let h(c) = -c - 1. Let t be h(4). Let b(k) = -7*k**2 - 3*k + 4. Let z(w) = t*g(w) + 4*b(w). Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*y**2 + 35*y**2 + 22 + 34*y**2 - 50*y**2 + 20 as n + z*y**2 + t*y and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let i(d) = -11*d - 60. Let f(c) be the third derivative of -c**4\/12 + c**2 + 8. Let h(m) = -5*f(m) + i(m). Calculate o(h(r)).\nAnswer: -2*r - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - (sqrt(931) - (sqrt(931) - (sqrt(931) + (sqrt(931) - ((sqrt(931) + 4*5*sqrt(931))**2 - sqrt(931)))))).\nAnswer: -14*sqrt(19) + 410571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {p: 1, s: 6, h: 1, v: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 313499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -167950\/4033 at least as big as -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 22. Let d = 8 + -3. Suppose -d*t = 0, 2*g + 4*t + 40 = 7*g. What is the lowest common multiple of g and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719131 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/7 + 7*-1. Let v be n\/2 + (-39)\/(-26). Put -4, -3, v in decreasing order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 1854\nAnswer: -16686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c - 2*i + 7, 0 = -4*c - 3*i + 15. Let o be (-1)\/(4 - 27\/6) + c. Solve o*r + 12 = 8*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlmluuumuuuu. Give prob of picking 1 m and 2 l.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*sqrt(1323) + 2 + 4*(-2 + sqrt(1323)))*-2.\nAnswer: -12 + 294*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-5 - (3 + (-9 - 4) - -10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - 6 - ((-8 - -6) + 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 6 - 4 + 7*o to h + p*o and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - -2 - (4 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2 + 2. Let d(b) = -37*b - 83. Let h be d(-9). Let f(t) = h - 250 + 4*t**2 + 16*t**2. Calculate f(j(m)).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6763.17 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5816084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 1130*b**3\/3 + 524*b**2 + 146*b - 4\/3 = 0.\nAnswer: -1, -2\/5, 1\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -85 - (-74 + -2 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ggiiigiiii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -667 + 2841*g - 666 + 1333 + (4 - 4 + 2*g)*(-3 + 3 - 2) to p + u*g and give u.\nAnswer: 2837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 + 206 = q - 221 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 709 - 713.51. Let y = -2.54 - c. Let v = 0.27 - y. Round v to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-7))\/h)\/(h**(-5\/2)*h*h) assuming h is positive.\nAnswer: h**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + 2*sqrt(91) + sqrt(91))*6*1)\/(-3*2*sqrt(847)))**2*-3.\nAnswer: -624\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrreeeereerreeeeee. What is prob of picking 2 e and 1 r?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3126 and 4689.\nAnswer: 9378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j**5\/5 + 297*j**4\/5 + 2157*j**3\/5 + 2727*j**2\/5 + 861*j\/5 = 0. Calculate j.\nAnswer: -41, -7, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 186 = 5*r, l + 206 = 5*l + 5*r. Suppose 1 = 5*g - 34. Calculate the highest common factor of g and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10205*f + 30498. What is q(-3)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*f + 15*f - 8. Let n be -1 - 3 - -8 - f. Let w(s) = -2*s - 2. Let d(x) = 2*x + 2. Calculate n*d(i) + 5*w(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(17\/(-51)). Suppose -2 + 1 = -s, 2*h - 2*s - 8 = 0. Sort h, -4, j.\nAnswer: -4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(252) + 3)*-6 + 5 - (-3 + 0 + sqrt(252) - (-2*(4 + sqrt(252)) - sqrt(252))))**2.\nAnswer: 14256*sqrt(7) + 124884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 31 - 2*m**2 + 31 + 10*m**3 to g*m + t*m**2 + u + o*m**3 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 15*h + 7*h + 7. Let c(w) = 7*w - 8. Calculate 5*c(v) + 6*x(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 1. Let v be (-9)\/((-3)\/d) - -1. What is the derivative of f - v*f**3 - 19 - f + 21 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/2 + (-357)\/(-2) is divided by 24850\/345 + (-210)\/7245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-4))\/(-2) + 3 + 136. Let l be 1\/(j\/44 - (4 + -1)). Solve 3*u - l = 3*m + 4*u, 5*m + 5 = u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31384651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*v - 35 = 0, -16 = -2*w + 3*v - 41 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -5 (b) 11\/5 (c) 1\/2 (d) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 595505.7um?\nAnswer: 595.5057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, -16, -0.3, 3\/47, -0.1 in increasing order.\nAnswer: -16, -0.3, -0.1, 3\/47, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 349, 705, 1061, 1417, 1773?\n\"Answer: 356*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111, -1136, -3285, -6336, -10289, -15144, -20901?\n\"Answer: -451*j**2 + 106*j + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = 2*j - 24, 4*c - 28 = -4*j. Suppose -l = -0*v + 5*v - 8, 3*v = -2*l + 9. Solve -l*y - 2*d + 18 = 0, 0 = 7*y - j*y + 3*d - 29 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113680938 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -3*v**5\/70 + 19*v**4\/14 - 17*v**3 + 105*v**2 + 1333*v. Factor d(w).\nAnswer: -6*(w - 7)**2*(w - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 67*u + 36. What is the tens digit of m(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1267 and 3814801431.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(110) + -2*sqrt(110))*1)\/(-2*-1*sqrt(90) - sqrt(90)).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 25, -8265, -5.\nAnswer: -8265, -5, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, 3 in descending order.\nAnswer: 3, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27594 divided by 126?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703799 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 483 = -3*x, 4*x = 4*v + 3*x - 619. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*f - 8, 5*f = -172*q + 175*q - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**2 + 135156*m + 1216080 = 0.\nAnswer: -33780, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 699, 700, 701, 702, 703?\n\"Answer: u + 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 3*c**2 + 14*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 983 divide 873264761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u*w**2 + 8*u*w + 149196*u + 13556*w**2 + w + 593 wrt u.\nAnswer: 3*w**2 + 8*w + 149196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1501, -12936, -44015, -104560, -204393, -353336, -561211?\n\"Answer: -1637*b**3 + 24*b + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-12 - 1) - (0 - 0)) + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:31 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 308 - 306. Solve 0*b = b + 5*i - 19, -i + w = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*d*i*l**2 - 560*d*i + 5*i*l**2 + i*l wrt l?\nAnswer: 76*d*i*l + 10*i*l + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -16.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 47 + 30 = 2*m, 59 = 17*n - 2*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2949 + 440. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/200 - h**5\/100 - h**4\/20 - 14*h**2. Factor z(o).\nAnswer: 3*o*(o - 2)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = f, 4*f = 4*t. Suppose 0*j + j - 2 = f. Let k = 0.03 - 1.03. What is the nearest to j in -0.1, k, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1792 and 1648.\nAnswer: 184576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 44*v**2 - 5472*v + 60912.\nAnswer: 4*(v - 18)**2*(v + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 (base 11) in base 5?\nAnswer: -12130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.5. Let v = -265 - -267. Sort 1\/6, v, j.\nAnswer: j, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*o - 8, -2*g + 0*o - 3*o = 6. Suppose 0 = -3*t - 0*p - 2*p + 10, 3*p - 6 = 0. Suppose g = -t*w + 9 + 1. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/15)\/((-69)\/(-46))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ststsssstst. What is prob of picking 4 s?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(50)*-4 + sqrt(4)\/(sqrt(8)\/sqrt(4)) + (sqrt(22)*-1)\/sqrt(11) + 0).\nAnswer: -120*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -1\/4, -49600, -5?\nAnswer: -49600","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1077\/2513)\/((-3)\/(-98)). Suppose -2*s - s + 6 = 0. Solve 4*l + p + 14 = -s*u, l - 3 = 2*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/2 - 1113*i**2 - 773952*i - 159319040 = 0 for i.\nAnswer: -928, -370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 80*r**3 - 85*r**3 + 167*r**3 + 34.\nAnswer: 2*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24675*s - 742. Is u(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 9 = 0. Suppose r = -3*o + 15. Suppose -6*s = o*u - 2*s - 8, 3*s = -2*u + 4. Solve 4*c + 3*m + 15 = u*c, -25 = -5*c + 5*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1110 - -245. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79316306*w**3 + 70880226?\nAnswer: -237948918*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j - 3. What are the prime factors of 12\/(3\/j) + 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1848, -14, 5, 16.\nAnswer: -14, 5, 16, 1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2, 5*u - 3*c - 54 = -6*c. Suppose 0 = 5*g - 4*l - 72, -7*g - 4*l = -2*g - 48. What is the greatest common divisor of g and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -7*b + 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6194358*m**4 + 3156908*m**2.\nAnswer: -148664592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 937288437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/(4801\/633732)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**2 - 6*s**2 - 2*s**4 - 106249*s**3 - 2*s - 41*s**4 + 106246*s**3 to x*s**3 + n*s + o*s**4 + q + a*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 542 + -538. What is the third smallest value in h, -3\/7, -0.8, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -31. Let b be (2\/(-3))\/(6\/t). Let p = b + 11. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q + 1. Let m(d) = 6*d**2 - 4*d + 7. Let b(f) = m(f) - 5*x(f). Let i be b(-2). What is the units digit of 154\/i - 8\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1253 and -9\/4654.\nAnswer: 32578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y + 10*y**2 + 5*y + 5*y + 18 - 13*y. Is a(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 - 10*h**2 + 3*h**2 + 5*h**2. Suppose -4*k - 4*m = -40, -1 = -4*k + 2*m + 9. Let t(w) = k*w**2 - 4*w**2 - 3*w**2. What is t(g(d))?\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19670450 rounded to the nearest 100000?\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4\/7))\/((s*s**(1\/3)*s*s)\/s))\/(s*s**(-2\/5)*s)**(-33) assuming s is positive.\nAnswer: s**(5464\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1004\/(-12) - 2\/6. Let v be (-104)\/p + (-2)\/3. What is the third smallest value in 0.4, v, -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 7*l)*(-2*l + 0*l + 0*l)*(-2*l**3 + 3*l**3 - 2*l**3).\nAnswer: -14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzzzzzzzzzpz. Give prob of picking 1 p and 3 z.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b6 - -41596?\nAnswer: 412b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 2. Sort 3, -1, a in ascending order.\nAnswer: -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -27*m**3 - 4*m**2 + 2*m. Let b(a) = a**3 + a**2 - a. Let s(c) = 6*b(c) + l(c). What is the third derivative of s(u) wrt u?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**3\/3 + 7*t**2\/2 + 5*t + 1. Suppose -3*f + 12 = -6*f. Let l be s(f). Solve 11 = 5*v - 4*c, -3*v + l = v - 3*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170058 (base 15) to base 4.\nAnswer: 10033323221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5930 * -16.\nAnswer: 94880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/50*2\/(-14). Let n = -5\/6 - -1\/6. What is the second smallest value in 5, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20 - (-441)\/(-180) - (-120960)\/(-1575)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t + 2. What is the remainder when u(-3) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*z = 3*z + 46, z = -4. Suppose -m - m + o = 0. Differentiate -m*v**2 + v**2 - 1 + 2*v**2 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.582 - -29.982. Let u be (-74)\/(-14) + 6\/(-21). Let n = 0.8 + -0.84. Which is the smallest value? (a) u (b) k (c) -0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 14. Let b be 115\/3 + (-4)\/(-6). Suppose 0 = -o*x - 5*j + b, 6*x = x - 2*j + 36. What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -175, -532, -1209, -2308?\nAnswer: -3931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (4 - (1 + 13))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6*w - 1627*i**3*w - 186*i**2*w + i*w wrt i.\nAnswer: -240*i**3*w - 9762*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023448?\nAnswer: 2, 127931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 4. Let r(h) = 20*h + 55. Let d(t) = t + 2. Let c(l) = -25*d(l) + r(l). Calculate 3*a(f) - 2*c(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 50 - 15. Suppose -5*u + y*u = 1096. Suppose -5*c + u = 143. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1865 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6*(-77)\/13209) - 2\/11?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/840 + h**6\/360 + h**3\/2 + 3*h**2. Let r(i) be the first derivative of k(i). Find the third derivative of r(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:57 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54155471.\nAnswer: 211, 256661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/6 - 1661*w - 9968\/3 = 0.\nAnswer: -2, 9968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 51 = -5*f, 26*f - 27*f = 2. Calculate the remainder when l is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {o: 2, z: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 6*d - 4. Let p be r(7). Sort -1, p, -5, 4 in increasing order.\nAnswer: -5, -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-2 - 6\/(-4)). Let q = 19 + -10. Let k = q + -8.9. Which is the nearest to i? (a) 2 (b) -2\/13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2595644761 and -50.056.\nAnswer: -2595644811.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25934910.999798 + -25934690. Let f = -143 - 78. Let d = f + k. What is d rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62067065.62 to the nearest one million.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, w: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -134848 divided by 1204\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-209)\/(-7) + 7\/49. Solve 1236*k - 1231*k = h for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.097692*-4.59\nAnswer: 0.44840628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - l + 0*l)*(8 + 42 + 8)*(9 - 2 - 3) + 3*l - l - 5*l in the form j*l + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 - -548. Suppose -5*k - 5*u + q = -k, k = 4*u + 104. Suppose k = 7*t - 4*t + 5*g, 128 = 3*t - 5*g. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2139197 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -56*g + 60. Let n(m) = -27*m. Calculate 2*n(x) - v(x).\nAnswer: 2*x - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.144 + 0.143. Round v to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkjzzzizizii. Give prob of picking 3 i and 1 z.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 2*p - 58. Determine l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 11716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*i - 2, 0*z - 3*z - 4*i = 26. What is the least common multiple of 14 and (-1262)\/z + (-469)\/201?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2222103 (base 4) to base 12\nAnswer: 6383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 58. Let r(y) = 9*y + 16. Let q be r(-3). Let z = v + q. Solve 3*x + w = -0*x - 10, 2*w = -4*x - z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0 + 3\/2*f**2 + 1\/24*f**4 + 0*f**3 + 12*f. Let g(z) be the first derivative of q(z). Let x(d) = d. What is x(g(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9162369 and 286.\nAnswer: 9162655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8469\/7690 + 1\/769. What is the common denominator of g and 98*2\/(2 + 62)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9844 and 9842 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1 + 2*i**2 + 1. Let j(w) = 10*w**2 + 30. Let y(v) = -1. Let a(q) = -j(q) - 30*y(q). Determine a(u(g)).\nAnswer: -40*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01701948 rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -1 (c) -0.109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*b + b = -8, 16 = 4*l - 4*b. Is 5 a factor of (4 - -62)*1\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9513*x - 9513*x - x**3 - 2*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04863825989 to 6 decimal places.\nAnswer: 0.048638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -17. Let u = 7.3 + w. Let y = 22.4 + -23.4. What is the closest to y in u, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/7170 and -99\/32?\nAnswer: 114720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 24 = 3*n, -5*n - b = -4*b - 24. Let l(i) = i**3 - 8*i**2 + 9*i - 8. Let a be l(7). Solve -n*k + 3 = -a*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 + -77. What are the prime factors of (223 + (-6)\/3)\/(1 - l)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**(-9\/8))\/q)*q)**(-23) assuming q is positive.\nAnswer: q**(-161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let m = 9 - t. What is the highest common factor of m and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1425 and 12370?\nAnswer: 3525450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:06 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 249*i + 245*i = 28, 8*k = -2*i - 62 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147522, 292590, 437658?\nAnswer: 582726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -188.462551461.\nAnswer: 153.462551461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 151 = 7*p. Suppose 27 = a - 0*a. Let z be (a\/(-12))\/(6\/p). Calculate the highest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/(q\/q**3))\/(q**(-1\/2)*q*q*q\/((q\/(q\/q**7))\/q*q)))\/(q\/((q*q\/(q\/q**(-5)))\/q)*q\/(q**(-1\/4)\/q)*(q\/(q**(-2\/17)*q)*q)\/q*q*q**5) assuming q is positive.\nAnswer: q**(-399\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/2 - (9 + -4). Let a(t) be the first derivative of 1\/8*t**4 - 1\/2*t**3 + n*t**2 + 0*t - 6. Factor a(j).\nAnswer: j*(j - 2)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - g - 24. Let a(b) = -26*b**2 - 6*b - 120. Let s(w) = -3*a(w) + 16*d(w). Let j be s(-15). Is -503 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Solve -68*s + 3*t - 9 = -65*s, 0 = 4*s + 4*t + 44 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -637*o**6\/120 - 202*o**5\/5 - 1481*o**2. What is the third derivative of l(r) wrt r?\nAnswer: -3822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 13*m - 25. Let k be d(11). Let x be (k + 49\/14)\/(2\/(-400)). Let p be (-34)\/153 + x\/(-126) + -1. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - -1 - (-415)\/(-83). Solve -4*f + 5*k + 8 = 0, k + 2 = p*f - 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -52*l**3 - 3*l**2 + 2*l + 7. Let v(u) = -78*u**3 - 5*u**2 + 3*u + 10. What is -8*s(j) + 5*v(j)?\nAnswer: 26*j**3 - j**2 - j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*j = -650*j, -2*u - 4*u - 4*j + 4 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17637?\nAnswer: 3, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, j: 2}. What is prob of picking 2 t and 1 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9547.01 > -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 38. Let j be i(-17). Suppose 55 = 4*f - 33. Solve -2 = -j*p + 4*x - f, 4*x - 20 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/2 - 33833*x\/2 + 50745 = 0. Calculate x.\nAnswer: 3, 33830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 3) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 10 + 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.3 - -49.2. Let n = -16 + s. Let q = 1 - 2. What is the biggest value in q, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1661 - 6872\/2948275. Let u = 1757\/15975 - y. Factor -u*f**3 - 10\/9*f**2 - 8\/9 - 17\/9*f.\nAnswer: -(f + 1)**2*(f + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**3 - 28706*w**2 + 2713*w wrt w.\nAnswer: 6*w - 57412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1585*m + 3. Let a(p) = -69*p + 2. Calculate a(y(d)).\nAnswer: 109365*d - 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -115*-1*6\/5. Let r = 1250 + -1105. Let u = r - s. Calculate the remainder when 26 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -10.3. Let o = 2.64 - l. Suppose u + 2 = -0. What is the second biggest value in o, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 15. Solve p*i + 0*i + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/102, 2, -3 in decreasing order.\nAnswer: 3, 2, -5\/102, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -341.55 - -342. What is s rounded to 2 dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968818001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -521 - -13103. Is y a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203\/16204 + -578245609\/178244. Let t = 3241 + f. What is the common denominator of 43\/20 and t?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - (1 - 0)*(9 + -7). Suppose 0 = 6*z - l*z - 237. Is 2*z*(-1)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5. Let o(k) = k. Let q(t) = 6*o(t) - y(t). Let i(b) = -b + 1. Let d be i(-1). Suppose 0 = 2*a + d*z - 20, -4*a + 4*z = -0*z. Calculate q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149664981 to the power of 1\/2, to the nearest integer?\nAnswer: 12234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o - 91 = 227 + 23 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*c + 2*r + 6294 = 0, 917*r + 140 = 5*c + 922*r for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 128446*a + 128447.\nAnswer: -(a - 128447)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (-5 + 1*sqrt(567) - sqrt(896)\/sqrt(2)))**2.\nAnswer: -176 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-123)\/(-2))\/((-3)\/(-6)). Suppose -5*x - q = -3*o - 2*x, 41 = o - 4*x. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-u - 4 + 4) + u + u - 3*u + 4*u - u - 5*u + 2*u - 3*u - u + (1 - 1 + 2)*(-u + 0 + 0) + 2 - 2 - 2*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.7. Let i = -1.7 - o. Let a = -4 - 0. Put i, -13, a in decreasing order.\nAnswer: i, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 14*p - 13. Let s be j(12). Let m be 3\/(-6) - s\/(2860\/(-1450)). Find n such that m*n**3 + 30\/13*n + 74\/13*n**2 + 18\/13*n**4 + 4\/13 = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34011.193720211 - 37634.19372313. Let n = u + 3623. Round n to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706690 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**4 - 2*g**2 + 2*g + 1. Let t(o) = -5*o**4 + 3*o**2 - 3*o - 1. Suppose 15 = 5*h - 0. Let m(i) = h*y(i) + 2*t(i). Differentiate m(p) wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6 - -1.3. Let i = p - 6. What is the second biggest value in -0.3, 1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + 8 + -14 + 54. Calculate the greatest common factor of b and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 56875?\nAnswer: -56878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14223, 12635, 11047, 9459?\nAnswer: 7871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-89)\/13 + ((-24)\/(-13))\/(-12). Let t(m) = 4*m + 19. Let x(f) = 6*f + 29. Let q(z) = -7*t(z) + 5*x(z). What is q(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 m when three letters picked without replacement from {n: 18, m: 1}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.033 - -14.567. Let a = -10.42 + b. Let x = -0.18 + a. What is the third biggest value in 0.2, x, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -8. Let n = r - 13. Calculate the lowest common multiple of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -464, -146 in descending order.\nAnswer: 6, -146, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose 0 = 5*a + 15, 5*v + d + 2 = 2*a. Let c(n) = 751*n**3 + 3*n**2 + 2*n. Let z be c(v). Round z to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 42 = 22*x - 27*x, -14 = -x - 2*r for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45440 by 4.\nAnswer: -11360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -34*j + 11. Let v(a) be the third derivative of 17*a**4\/24 - a**3 + 286*a**2 - 1. What is 11*v(d) + 6*z(d)?\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4300*r - 2201*r - 2097*r - 1. Let a(b) = -5*b + 2. Let u be 2\/(-2 - 16\/(-9)). Give u*l(q) - 4*a(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-63))\/4 - 532\/(-36)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:35 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*u - 18277 - 48009. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 + 169. Suppose 3*x = -2*l, 22 = 5*x - 6*l + 2*l. Solve -25 = p*a, 15 = x*f - 3*a - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 0.03. Let c = 6.96 + u. Let j = c - 9. Which is smaller: j or 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82847839 to the power of 1\/2, to the nearest integer?\nAnswer: 9102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 7:21 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7195 (base 11) to base 9\nAnswer: 14072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*v + 20 + 1, 4*w + 3*v - 27 = 0. Let o = -4 + w. What is the tens digit of 464\/40 - (-2)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57aa (base 15) to base 3\nAnswer: -221112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*i + 23, 3*i - 15 = -h - 0*i. Suppose 0 = -5*f + 2*r + 113, 5*r - 2*r + 75 = h*f. Let q = 16 - -6. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1100, 2532, 3964?\nAnswer: 5396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7601597192?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 - 9*g + 5. Suppose -a = 4*a - 25. Suppose -3*d = 4*i - a, -6*d + 8 = -2*d + 4*i. Calculate the remainder when y(-4) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(1100)*-1))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/28))\/(s\/(s**(-1\/7)\/s*s)))**(-27) assuming s is positive.\nAnswer: s**(81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 5:52 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 6:50 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1614, -3735, -7216, -12009, -18066?\nAnswer: -25339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/10 - z**4\/2 - z**3\/3 - 3*z**2 + 3*z. Is y(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 131. Suppose -u*t + 1 = -5. Is t greater than or equal to 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 2, u: 1, e: 1}. What is prob of picking 1 s and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01896439 rounded to 5 decimal places?\nAnswer: 0.01896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.6457 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10765, -10802, -10839, -10876?\n\"Answer: -37*j - 10728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y - y**4)*((3 - 4 + 2)*(-2 + 1 + 2) + 5 - 1 - 3 + 2 - 1 + 0) to r*y**2 + j*y**4 + i + t*y**3 + d*y and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m + 0 - 1\/12*m**4 - 4*m**2 + 0*m**3. Let u(t) be the first derivative of t**3\/3 + 1. What is u(x(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184734 and 9702?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6*10\/(-1). Let z(q) = q**2 + 5*q - 3. Let t be z(a). Let p be (2\/t)\/(2\/(-12)). Solve 14 = -0*u + p*u - 2*c, 0 = -2*u - c + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hokhok. What is prob of sequence khk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406 (base 8) in base 13?\nAnswer: -a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7067*n**2 - n + 1. Let j be m(1). Let u = j - 56611\/8. Let h = -9661\/1338 - -12\/223. What is the common denominator of u and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1829076806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 15732\/1237, 3.\nAnswer: -1, -0.3, 3, 15732\/1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.007 - 0.353. Let a = l - -0.35999489. What is a rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (-10 - (-17 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -177c (base 16) to base 3\nAnswer: -22020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(9\/(-315)*98*(-2)\/(-14)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -3, -42, 0 in increasing order.\nAnswer: -42, -3, 0, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1144315814 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**3 - 2*m**2*p - 309*m**2 + 78*m*p + 7567516*p + 2 wrt m?\nAnswer: 9*m**2 - 4*m*p - 618*m + 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/2)\/(2\/4). Let o be f\/((-3)\/(9 + -3)). Solve -5*h = -h - 16, o = -u + 3*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/63)\/7*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3)\/d**(-5)*((d*d\/(d*d*d*(d**2*d)\/d)*d)\/d)**(1\/34))**(-11) assuming d is positive.\nAnswer: d**(-7007\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -3\/2 (b) -4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w - 36. Let z be 9\/(6*3\/w). Is z equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2084804432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9033?\nAnswer: 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*u**6 - 9*u**5 - 7*u**3 - 105*u**2 + 474*u.\nAnswer: -10200*u**3 - 540*u**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/20 - 11*f**2. Let w(x) = -21*x**2. What is w(b(l))?\nAnswer: -189*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from aaalluaalaualuuua.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 + 524. Let b = -328 + r. Calculate the greatest common divisor of 1188 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6447510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8470*w = -8472*w + 2. Which is bigger: w or 4\/1423?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15 - 3 + 9*a + 5. Let i(u) = u - 1. Let r(m) = 9. Let x(h) = 3*i(h) + r(h). Suppose 16*s = -63 - 209. Calculate s*x(w) + 6*q(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4952*f**4 - f + 1362?\nAnswer: -59424*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 2\/((-8)\/6)*(-179)\/(12709\/426)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*z + l, z - 93*l - 1 = -98*l - 54 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -m - 2667, -4*i = -m - 1322 - 4017. Suppose 3*q = -5*v + 967, -9*v = -4*q - 4*v + i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:08 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 10 - -18 - 0 - (19 + -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 + -0.29. Let p(z) = -z**3 - 7*z**2 - 7*z - 6. Let t be p(-6). What is the closest to 0 in 2, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 2. Let q(j) = j. Let p(i) = -6*q(i) + z(i). Calculate p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527101646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5052.25 centuries in years?\nAnswer: 505225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -174a + -883?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8498589, -16997176, -25495763, -33994350, -42492937?\nAnswer: -50991524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 5*y. Suppose -17 = -2*r - 3*s, -7 + 17 = -5*r + y*s. Let h be 40\/7 - 4\/(-14). Solve -r + h = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*o**2 + 1466*o**3 - 1532*o**3 - 55*o**2 wrt o.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -0.4. Let u = r - 1.05. Let b = -0.7 - -0.7. Is u at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:15 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*w = -18, -2*x + 2*w + 3 + 9 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -635 + 365. What is the tens digit of -7*(u\/7)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*n - 7, 4*n - f + 6*f - 13 = 0. Let s be (n + -5)\/(1*-2). Solve -b - s = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-40) + (-39)\/(-2))\/2. Suppose 2*t - l = 10. What is the remainder when t is divided by ((-4)\/(-5))\/(2\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7692370, 15384742, 23077114, 30769486, 38461858, 46154230?\n\"Answer: 7692372*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -611, -2, -6, -8404 in descending order.\nAnswer: -2, -6, -611, -8404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1437, -1417, -1395, -1371, -1345, -1317, -1287?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29798 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:01 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -3.417101?\nAnswer: -1.7085505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 48270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*s - 8, 0 = -f + 4*s - 77. Let a = f - -65. Solve a*u = 8 + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2) + 5)**2 + (sqrt(2) - (sqrt(2) + sqrt(8)\/(2*sqrt(4)))).\nAnswer: 39*sqrt(2)\/2 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 divided by -2?\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770 is divided by (-6)\/(-8)*(36 + 3 - -9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = -2*r - r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let t be x(-8). Let b = t - -11. Let o(k) = 12*k**2 + 7*k - 7. Let m be o(1). Solve -1 = -2*j - b*y - 16, -4*y - m = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j**5\/4 + 591*j**4\/2 - 577*j**3 - 41214*j**2 - 159120*j = 0 for j.\nAnswer: -6, 0, 170\/11, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389.5203 decades to months.\nAnswer: 46742.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201742.7ms to minutes.\nAnswer: 20.029045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -1 + (-321 - -265) + 11 + -17\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 211, 240, 287, 352, 435, 536?\n\"Answer: 9*o**2 + 2*o + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, -292, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53, 0.4, -3\/4, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 802, 1589, 2450, 3421, 4538, 5837?\nAnswer: 7354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**2 + 52*f - 33*f - 26*f - 2*f**2 to the form a*f**2 + i*f + d and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37\/2 in -4, -17\/5, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 2*g + 32*g**2 + 4*g**2 + 3. Let h be y(-3). Is ((-3)\/9)\/((-2)\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 57.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/6*15\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 - 171. Put -3, w, -1 in ascending order.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 15216. Let n be (-4)\/10 + y\/40. What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/6825*100*1\/24.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269514 is divided by 4418.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/3*(-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 145 = -4*h, -270 + 444 = 5*h - x for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 7. Suppose 0*y = 3*y. Determine t(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14418.94 litres in millilitres?\nAnswer: 14418940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or -53?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 334 and 1884094.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 705 + 868. List the prime factors of f.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.5 - 45.5. What is the third smallest value in -1\/5, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10321000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose 0 = 3*i + 5*g + 22, 6*i - 2*i - v*g - 14 = 0. Solve -3*r - 11 = 3*j + i, 4*r - 3*j = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a + 10. What is the tens digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2. Let z(v) be the third derivative of 13*v**5\/120 - 17*v**3\/6 - 7*v**2. Let u(y) be the first derivative of z(y). What is j(u(b))?\nAnswer: 507*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*f + 45*f - 46*f + (-3*f + 0*f + 4*f)*(-1 - 2 + 1) + (-4 + 4 - f)*(-2 + 6 + 6) - 4*f + 2*f + f + (1 + 1 + 0)*(-2*f + 5*f - 2*f).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/369 + 268\/4059. Let d = -1.2 - 3.8. Let j = d + 6. Which is the nearest to 2\/3? (a) 0.2 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -8, 2\/31, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 7*j**2 - 11*j - 16. Let o be -1*(7\/(-3) + (-22)\/33). Suppose -5*f - 33 = -f + o*h, -4*f = 4*h + 36. What is the units digit of z(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -89*r**2 + 193*r**2 - 108*r - 95*r**2 - 16*r + 14. What is the first derivative of w(p) wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1444 - 1560 + 876)*(-3*q - 2*q + 3*q)*(0 + 5 - 4).\nAnswer: 4256*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*d = -6*j + 29, 0 = 4*j - 2*d - 38. Let h be 48\/(-14)*(-13 + -8). What is the highest common divisor of h and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 5*l - 3*l)*(26*l**2 - 101*l**2 - 13*l**2) + 2*l**3 - l**3 - 3*l**3.\nAnswer: 86*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 247692, 495382, 743072, 990762?\n\"Answer: 247690*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 19. Let b be f(-5). Let w be (-31)\/(-9) - b\/9. What are the prime factors of (72\/w)\/(-4)*(-44)\/8?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idcvigddccgiddgkg. Give prob of sequence cd.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 152 + -3*4\/(-24)*4. Let o = h + -143. What is the greatest common divisor of 8 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzmkkhoze. What is prob of sequence hm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -6*k - 2*k. Suppose -v = -5*c + 341, -k = -c + 2*v + 33. Calculate the greatest common factor of c and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (164\/4 - 3)*(-3)\/(-6). Let h = 76 - b. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*u**4 + 380*n*u**2 - 2638*n + 2 with respect to u.\nAnswer: -4*n*u**3 + 760*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3 + 146*l**2*r**3 + 107*l*r**2 + r**3 wrt l.\nAnswer: 18*l + 292*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17577\/(-105) + 3\/(-5). Let g be y\/(-78) - 6\/39. Suppose 4*w + 0*w + g*n - 848 = 0, 3*n - 217 = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11794070?\nAnswer: 2, 5, 859, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203 - -2?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + 40?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 676 - 556. Suppose w*a = 127*a - 287. What is the remainder when 120 is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18518, 74058, 166624, 296216, 462834?\nAnswer: 666478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9028)\/(-185) + -48 + 132\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*k**3 - 89*k**3 - 2*k**4 + 6*k**2)*(2*k + k - k).\nAnswer: -4*k**5 + 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (5 + -1) - (0 + -3). Suppose 16*l - 37 + i = 0. Calculate the remainder when l is divided by (-1)\/(-4) + (-6)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 14\/9, 2\/7, -34\/513 in descending order.\nAnswer: 3, 14\/9, 2\/7, -34\/513, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 1\/3, -2\/5, -1024?\nAnswer: -1024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 28)*(-2)\/3. Let n = i - 8. What is the units digit of (-35)\/(-20) - (-2)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*s + 88*s + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**2 + 4*p**2 + 32*p - 5*p**2 + 64 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11959, 48247, 108737, 193435, 302347, 435479, 592837, 774427?\nAnswer: 980255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19 - -11)*9\/(-12). Suppose 2*j - 3*j = -f - 591, -2*f - j = 1185. Is 16 a factor of (-9)\/o*f\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + 2060*l**4 - 6212*l**3 + 2084*l**2 + 6208*l - 4144 = 0 for l.\nAnswer: -518, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 861343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -734.471 and 14811?\nAnswer: 15545.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 15*y = -3186. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843696018 to the power of 1\/2, to the nearest integer?\nAnswer: 29046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**4 + 3*g**2 - 1. Let v(n) = -1988*n**4 - 9*n**2 - 14*n + 20. Let w(q) = -3*m(q) - v(q). Find the second derivative of w(l) wrt l.\nAnswer: 23892*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -y - y. Suppose 0 = 5*n - r - r + y, n = -2*r. Sort 0, 5, n in decreasing order.\nAnswer: 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -11. Suppose -r*j - 18 = -12*j. Factor 4*w**3 - j*w**3 - 18*w - 2*w**4 + 3 - 3 - 30*w**2.\nAnswer: -2*w*(w + 1)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**39\/n**(5\/3)*((n\/(n**(-3\/4)*n))\/n)**(-47))**(-7) assuming n is positive.\nAnswer: n**(-4123\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/15 and 56\/11385?\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 40 + 14. Let l = 13 - r. Suppose l = 6*c - c - 35. Solve 5*p - c = 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2609 + -2545. What is the greatest common divisor of 216 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3*4\/36*-3. Determine l, given that -3*l**k - 35 - l**4 - 4*l**3 + 35 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51\/2, 0.01, -3\/29 in increasing order.\nAnswer: -51\/2, -3\/29, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + sqrt(264)*-2)*-6 + sqrt(264)*-2*-4)\/(sqrt(18)\/(sqrt(108)*-2 + sqrt(108) + sqrt(108) + sqrt(108)))*3.\nAnswer: 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 10 + 6 - -22.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20801609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l + 139 = -292*l + 1224 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 773*a + 47. Let o(d) = 6. What is 8*o(h) - z(h)?\nAnswer: -773*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let i(u) be the third derivative of 35*u**4\/12 + u**2 + 88. Give i(b(f)).\nAnswer: -70*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(2*(-2 + -2*(1*(0 + sqrt(1700)) - sqrt(1700))))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*j**6 + 8*j**2 - 9.\nAnswer: 35880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3*i*k + b**3*k + 2*b**3 - 215*b**2*k + 151*i*k wrt i.\nAnswer: -b**3*k + 151*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, z: 4}. Give prob of picking 2 g.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 120. Let v = 377 + -374. Sort -5, v, k, -3.\nAnswer: -5, -3, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51637 (base 8) to base 12.\nAnswer: 1047b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**7*h*h**0\/h)\/(h**4\/(h*(h*h*h\/(h*(h*h**(1\/4))\/h))\/h*h)) assuming h is positive.\nAnswer: h**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 13) in base 5?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m. Let t be k(-1). What are the prime factors of 21\/9 + (-2)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -2, -6, -8, -8, -6, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4223 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -455, -702, -971, -1268, -1599, -1970?\nAnswer: -2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v - 173. Determine l(-30).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:13 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105245 is divided by 7515?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -3. Let j = 12275 - 12274.2. Which is the nearest to -0.2? (a) o (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 6. Let p be b(-2). Suppose -8 = 2*q, -v + 2*q - 3*q = -p. Are 14 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -29 + 3 + (-4 - (0 - -1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {e: 2, y: 1, b: 1, r: 4, k: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 127, 291, 521, 817?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 1661210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxax when four letters picked without replacement from {k: 2, g: 1, a: 4, h: 4, x: 2, s: 1}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -3. Let c = -2.999989 - s. Round c to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 8, -4, -3\/5, 4, -1\/53 in descending order.\nAnswer: 8, 4, -1\/53, -3\/5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -12, -2*q + 68 = -6*d + 2*d. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6016 and 4888.\nAnswer: 78208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907917 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 - 124. Let t = -11 + m. Put 33, -1, t in increasing order.\nAnswer: t, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 46*i - 38. Give s(20).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0273142 rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1. Let a = 3735 - 3736. Let f(k) = -4*k**2 + k - 1. Give a*o(g) + f(g).\nAnswer: -4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55\/72 - 1\/72. Let p(y) = -4*y + 1. Let f be p(-2). Let x = -4 + f. What is the nearest to 1 in x, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11*f - 11. Let v(g) = 10*g + 10. Suppose 5*t = 5*b - 45, -11 = 4*t - b + 16. Let h(u) = t*v(u) - 5*n(u). Let d be h(-2). Solve 0*o = o + d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1418 = 3*t - u, t - 5*u + 1442 = 4*t. Suppose 10*r - 8*r - t = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543 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: Calculate the remainder when 115375 is divided by 359.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1390 and 16\/45.\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Let q(b) = b**3 - 4*b**2 + 6*b - 3. Let s be q(4). What is the greatest common factor of h and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -61. List the prime factors of ((-12)\/9)\/((-62)\/i - -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (2 - 3)) + 3 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8977466?\nAnswer: 2, 313, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -198.1.\nAnswer: -195.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.023? (a) -3 (b) -0.19 (c) -186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 42 + 25 + 0 - 3 + 1 - 5 + 2 + 1 - 2 + 1 + 0 + (-2 - 2 + 2)*(0 + 1 + 1) + 0 - 1 + 0 + 3 - 5 + 1 - 3 - 1 + 6)*(-2*p + 9*p + 10*p + 2).\nAnswer: 561*p + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9 + 1, 3*v - 74 = -4*w. Suppose 6*f = w*f + 67320. Let y be (-13)\/(65\/f) - 4. Round y to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.3 (b) -1 (c) 53 (d) -2\/27 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k - 45. What is m(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13593 - 13662.97. Round o to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*z + 76*z = -3*k + 13935, 0 = -5*k + 11*z + 23189. List the prime factors of k.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 16254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h**2 + 2*h + 2 + 16*h**2 + 23*h**2 - 60*h**2 + 668*h**3 + 26*h**3 to the form t + z*h**3 + i*h + j*h**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -68496*-0.07\nAnswer: 4794.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1700 and 12036?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) -0.2514934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 111*d**2 + 125*d - 322. Let a be v(-82). What is a rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tsxnpaaxnt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {p: 2, d: 1, g: 4, n: 1, q: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156283319 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 + 153. Let c(p) = p + 2 + 4 - 1. Let z(x) = -4. Let s(o) = -4*c(o) - 5*z(o). Calculate s(h(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -21111100201?\nAnswer: -21111100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + 17. Suppose r - z = -2*c, -5*c - 4*r = -7*r - 328. Suppose d - 43 = 3*i, 2*d + i - c - 11 = 0. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 341\/5 - 68. Let m = -10\/3 - -7\/2. What is the third smallest value in m, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64664*d**3 + 79294*d**3 - 645707*d**3.\nAnswer: -501749*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 23 = 5. Let d be 38 + ((-6)\/z)\/((-8)\/(-12)). Suppose -108*s + 39 = -107*s. Is d greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 3*h + 183 = 4*h, -11*h + 1 = -10*h for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w**2 + 41783*w - 333766. Determine q(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*l**2 + 3*f*l**3 - 26*f + l**3 + l with respect to f.\nAnswer: 2*f*l**2 + 3*l**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 244\/(-30) + 1136\/8520 - 70\/(-8). Factor -3\/2*c - p*c**3 - 9\/4*c**2 + 0.\nAnswer: -3*c*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -679*i + 1. Let k be a(-2). Let u be 8\/(-14) - k\/(-63). Suppose -u = 6*t - 7*t. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/25)\/((-2)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2919 + -1660. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 1\/274, 35, -0.03, -0.01?\nAnswer: 1\/274","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let t(g) = -5391*g + 24. Let w(d) = 1595746*d - 7108. Let o(k) = 1777*t(k) + 6*w(k). What is o(c(i))?\nAnswer: 10662*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -12, 0.9, 0.1, 698 in descending order.\nAnswer: 698, 0.9, 0.4, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25991 or 25992?\nAnswer: 25991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1.95. Let y = h - -2.05. Let s be 7 + 5 + (-196)\/16. Which is the second biggest value? (a) s (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(592\/(-72) + 8). Suppose -3*i - 56 = i. Let a be (i - -11)*(-64)\/t. Calculate the greatest common factor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8801 is divided by 84.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -99887.\nAnswer: -29966.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 5*o + 115. What is c(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6*1)\/(13 - (-17 - 76)). Sort 2, -0.2, 3\/4, z in decreasing order.\nAnswer: 2, 3\/4, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394190*4.6.\nAnswer: -1813274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -218370040?\nAnswer: -218370040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 112?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3221303211032?\nAnswer: -3221303211103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 4*t)*(780 + 752 - 1532 + 11255*t**2).\nAnswer: -45020*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1630?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naandd. What is prob of picking 1 a and 1 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.043 - 0.043. Let g = -0.3 + 0.6. Which is the second smallest value? (a) i (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -589.82481 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3877 and -53.\nAnswer: 20.5481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 134965 times 0.2\nAnswer: 26993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(1\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 193, 760, 1705, 3028, 4729, 6808?\n\"Answer: 189*x**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 36 = 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 11}. Give prob of sequence xx.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*j + 70. Solve 19*k - 32 = j*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 454670*m**2\/9 - 8613609482*m\/3 + 2871152642.\nAnswer: -2*(m - 113667)**2*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u + 102*u = 30. Suppose -2*n + 23 = 1. Calculate the remainder when n is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 6 = 0. Let f be (-2 + (t - 1))*-4. Let c(z) = -6*z - 2*z**2 - 2*z**2 + 9*z + 3*z**2 - 2. Calculate c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3428 = -4*h + 26188. Let u be h\/26 - (-1 + 3). Let l = 217 - u. Which is the nearest to -1? (a) -1 (b) -1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 26*w**2 - 9*w + 115. Calculate l(14).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742 and 12418?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*-1)\/(2*(sqrt(10) - (sqrt(10) + sqrt(20)\/sqrt(2))) + sqrt(10)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-301)\/215 + 11\/15. What is the biggest value in n, -4.6, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67922, 135870, 203818, 271766, 339714?\nAnswer: 407662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000316539 to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 801349 from -335735.\nAnswer: -1137084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, -249, -3, -736.\nAnswer: -736, -249, -3, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-6)\/90)\/(3\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 3*b + 3*b)*(12 + 4 + 1) - b - 1 + 1 + (-2*b - b + 5*b)*(-5 + 0 + 4) + 0*b + b - 2*b to the form n*b + t and give n.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -70186.\nAnswer: -56148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(-13)\/(p\/(p\/(p\/(p\/(p\/(p**(-1\/4)\/p*p*p))))))**37 assuming p is positive.\nAnswer: p**(-163\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010270561 rounded to six dps?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 4*a + a + 3*a + 0*a + 3. Determine z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Let o(q) = 16*q + 21. Let y(m) = -8*m - 11. Let s(c) = j*y(c) + 2*o(c). Is s(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 181624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 33 - 17 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 3*l**2 - 6*l - 6. Let n(r) be the first derivative of r**2\/2 - 8*r - 14. Let u be n(4). What is j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 17*s**2 - 67*s + 4. Let o be v(8). Let j be 2\/1 + o\/143*-5. Factor 6\/13*w - 2\/13*w**5 - 4\/13*w**3 - 2\/13 + j*w**4 - 4\/13*w**2.\nAnswer: -2*(w - 1)**4*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/6 of a millennium in months?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63\/40 - 3\/40. Let a(x) be the first derivative of 1 + o*x**2 + 2*x. What is the first derivative of a(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 15372800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15082 times 1?\nAnswer: 0.15082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 4*x + 10. Let c be y(8). Find the common denominator of -25\/3 and (-56)\/c + (-1 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 475550 = 4*c. Suppose -2738 = -q - 3*w + 6773, -w + c = 5*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -257, -0.3 in increasing order.\nAnswer: -257, -12, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43604864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0865737739 to 3 dps.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55635 + 11?\nAnswer: -55624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Solve -4*x - 13 - 7 = c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92638 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/9 - 194*w + 330820\/9 = 0.\nAnswer: 278, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310053 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 169, 183, 189, 187?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 13) to base 8\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54066813 divided by 54066813?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9709 + 9735. Calculate the greatest common divisor of k and 741.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-7) + 24\/(-21). Let s(f) = 6666*f. Let w be s(g). Is w\/(-42) - 4\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.775599 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1603 (b) 14 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3895 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y - 6. Let k(l) be the second derivative of 65*l**3\/2 - 169*l**2\/2 - 126*l. Determine -169*i(d) + 6*k(d).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2290*q**4*t - 4*q**4 + q**2*t + 1825*q**2 + 2 wrt q.\nAnswer: -54960*q*t - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - -1)*((-85)\/(-15) - 5). Suppose -y*s = -5*i - 49, 5*s = s - i + 67. What is the highest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/272 + 108\/(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-2))\/((-3)\/6). What is the units digit of (-241)\/(-5) - q\/65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -41 - -1 - -38\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*q**2 + 1830043*d**2*q + 2985647*d**2 + 23*d - 45*q wrt q.\nAnswer: 4*d**2*q + 1830043*d**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 15 = 73. Let s = h + 57. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*z + 4*b, z + 0*b - 16 = 3*b. Suppose d = 3*r + 4, 5*r - 2*d = 3*d. What is the lowest common multiple of 1 + z - (r - 18) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557120184?\nAnswer: 2, 3, 23213341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 - 8*f + 103. Calculate a(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 5. Suppose -2*a = -5*r - 1, -3*a + 5 = -7*r + 3*r. Let z(u) = -u. Let c(l) = a*z(l) + b(l). List the prime factors of c(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2315190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9611, 9615, 9633, 9671, 9735, 9831, 9965?\n\"Answer: h**3 + h**2 - 6*h + 9615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(-4\/11))**(-8\/3)\/((y*y*y\/((y**(-1)*y)\/y)*y)**44)**37 assuming y is positive.\nAnswer: y**(-268636\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:54 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**3 + 7*u**3 - u**3)*(1855 + 1508 + 1357 - 714 - 95) to the form o*u**2 + g + f*u**3 + j*u and give f.\nAnswer: 23466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2*g**2 + g + 3. Let o be d(3). Suppose 0 = 2*h + q + o, h + 3 = 2*h - 3*q. Let p be (2 + h)*2\/(-8). Does -2\/17 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c**(-1\/2)*c**6*c\/(c\/(c\/(c**(4\/3)*c))*c)*c)\/((c\/(c\/(c\/c**2*c)))\/c**(-2\/3))**24 assuming c is positive.\nAnswer: c**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*p - 27 = 2, 0 = k - 3*p - 17. Solve b = k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71 + 30*k + 0*k + 55*k**2 + 31 - 15*k**3.\nAnswer: -5*(k - 4)*(k + 1)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2 - 8*q + 1. Let h = -15 + 9. Let p(l) = l + 1. Let s(f) = -6*f**2 + 4*f - 4. Let n(j) = -3*p(j) - s(j). Determine h*n(c) + 5*w(c).\nAnswer: -c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 7. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 9*d**2 - 10*d + 3. Let c be 7*((-152)\/28 + 2). Let a = c - -16. What is the tens digit of z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nffmdd. Give prob of picking 2 f and 1 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*2 - 1. Suppose -4*j + 64 = -l*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and -60510957?\nAnswer: 60510940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 7 + 18 = -5*y, 2*y + 5*r + 11 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 8*z + 23*z)*((-5*z**2 + 0*z**2 + 3*z**2)*(3*z - 2*z - 3*z) - 16 - 24*z**3 + 16) as c*z**2 + r + u*z**3 + g*z**4 + n*z and give g.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16926 + 16167. What is the nearest to w in 1\/8, 5\/2, 0.4, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 - 2*o**2 - 2*o. Suppose 2*z + 1 + 13 = 0. What is the units digit of d(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 8*y + 10. Let g be w(7). Find t, given that -25*t - t**g - 27*t + t**2 + 54*t = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**7\/630 - c**6\/180 + c**5\/180 - 7*c**2 + 3. Suppose n(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 + 2 - 2)*(2*h**3 + 0*h**3 + 0*h**3 - 3*h**3 + 0*h**3 + h**3 + (-2 - h + 2)*(-5*h**2 + h**2 + h**2)).\nAnswer: 15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 81*b - 5 - 84*b - b**2 + b**3 - 2*b**2 + 1. Let q(h) = 5*h**2 + h. Let z be q(-1). Let y be t(z). Solve y + 5 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 2, n: 2, x: 1}. Give prob of sequence nx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*i - m + 4, 0 = 3*m - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s - 120. What is the remainder when z(23) is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -806\/1155 + 12\/385. What is the nearest to 2\/7 in -4, 0.4, -3.7, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -140 - -21?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 177460*k + 105547296.\nAnswer: -4*(k - 44952)*(k + 587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 22*k + 9*k + 504 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + 11\/(-22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c - 2*c**2)*(3 + 140*c + 74*c - 3).\nAnswer: -428*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3 + 32*f + 966 wrt f?\nAnswer: 12*f**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908724?\nAnswer: 2, 3, 41, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) - (sqrt(98) - (0 + sqrt(98) - sqrt(98))*6)) - (sqrt(98) + 1 + 0 - sqrt(98))) + 0)**2*1.\nAnswer: -14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 33560000 to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 18*a + 20. Give v(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 1)*(-2*j**2 - j**2 + 4*j**2) - 3*j**2 - 1 - j**2 + 6*j**2)*(-2*j + 5*j - 6*j) in the form l + y*j**3 + u*j**2 + m*j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 269 + 171. What is the common denominator of 53\/8 and 652\/b*-1 - (4 + -8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:47 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = 5*k, -w - 10 = 4*w. Solve 4*q - 2 = x, -3*x + k*q + 3*q = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86066.9126687 - -86067. Let p = n - 0.0874. What is p rounded to 6 decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11059*b = -11026*b + 198 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 94*w + 940. Let c be r(-10). Let g(m) be the second derivative of c*m**3 + 0 - 1\/60*m**5 - 2\/3*m**2 + 1\/12*m**4 + 20*m. Factor g(i).\nAnswer: -(i - 2)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 58 (b) 1\/3 (c) -0.1 (d) -65 (e) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(2\/5)\/g*g))**(-2\/89)*((g\/(g\/((g**(1\/4)\/g*g*g)\/g)))\/g)**28*(g**(1\/3)*g**(2\/15)*g)\/(g**0\/g)**(9\/2) assuming g is positive.\nAnswer: g**(-8011\/534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (46 - (1 - -1)) + -2. Let q = -4 - -6. Suppose c = j + q*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41198460 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-3108)*24*-189?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3403969*r. Let k(f) = 6*f**2. What is i(k(l))?\nAnswer: -20423814*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(((s**(-1)*s)\/s)\/s))\/(s\/s**(-2\/11)))\/(s*s\/s**(-1\/2)*s)**41 assuming s is positive.\nAnswer: s**(-3095\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.5 to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-130)\/6 - -3)\/(3 - 1282\/426). What is the highest common factor of 84 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -479 - -479.000000209. What is q rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72316.638ms in hours?\nAnswer: 0.020087955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 8*p**2 + 9*p - 30. What are the prime factors of u(10)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s + 4. Let m(h) = 5*h + 4. Let z(k) = -4*b(k) + 5*m(k). Let w be z(-6). What is the remainder when 20 is divided by 5*(w - -4) - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -0.12727.\nAnswer: 0.17273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11111 and 171001?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 636*j**2 - 33063*j + 68694.\nAnswer: -3*(j - 2)*(j + 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 270 in -3, -0.2, -2, -0.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -298174 and -2?\nAnswer: 298172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 = 4*j, -3*s = -0*j + j - 7. Solve -5*r = -s*v - 20, r + 3*v = -3*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220212124 (base 6) to base 10.\nAnswer: -3936436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -92. Suppose 3*w = -1 + m. Suppose -t = -w*y + 4, -5*t + 6*t + 7 = 5*y. Solve -2*o - 3 + y = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 435*a**4\/2 - 1038*a**2 + 1480*a. Find the first derivative of p(b) wrt b.\nAnswer: 5220*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cckbccmbccmm. What is prob of picking 2 c and 1 b?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 40 - 28 - 46)*(9*o + 4*o - 14*o).\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.224446 micrograms?\nAnswer: 0.000000224446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12238, 17894, 23550, 29206, 34862, 40518?\n\"Answer: 5656*n + 6582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 51*m + 628. What is the lowest common multiple of 15 and y(-35)?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13622)\/(-4312) + 7\/4 + -1. Let n = j - 45\/11. What is the biggest value in 8, n, 5\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1245155.1 days?\nAnswer: 177879.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 14 - 32*q)*(-2*q - 25*q - 41*q).\nAnswer: 2176*q**2 - 476*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583486 is divided by 151.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -156. Let a = m + -24. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -181 - -417. Calculate the greatest common factor of d and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 50433, 50415, 50383, 50331, 50253, 50143, 49995, 49803?\n\"Answer: -b**3 - b**2 - 8*b + 50443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1196549, -1196530, -1196511, -1196492, -1196473, -1196454?\n\"Answer: 19*k - 1196568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24424.970979 - 24425. Let a = -0.029 - c. Round a to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 + 495 = -9*k. Let t = -890 + 325. Let q = k - t. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 7. Suppose 3*p = -3*f + c, 13 = 5*f - 5*p + 3*p. Solve -f*w + k = -4*k + 35, 12 = 3*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 479\/4 - 120. Let j = 3 - 7. Sort j, x, -5 in decreasing order.\nAnswer: x, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212212011 (base 3) to base 10.\nAnswer: -76441","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2302300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(14))\/sqrt(2) + 2 + 1*(sqrt(42)\/sqrt(6))**2*5*5.\nAnswer: sqrt(7) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 15*o - 36 = -17*o - 12*o, -18 = 4*j - 5*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 2\/3*u**3 + 2*u - 3 + 2*u**2. Let a be c(-2). Solve -4*z = -6*z + a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 755\nAnswer: 1132.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 543297.4km?\nAnswer: 543297400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 734 = -806. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7260.4317 and -15?\nAnswer: 7245.4317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-35)\/((((w*w*w*w\/(w**(-1\/2)*w))\/w)\/w)\/w)**(10\/7) assuming w is positive.\nAnswer: w**(-250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/645*(-18)\/16.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-3))\/(3\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10793574 divided by -5396787\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/4*(-24)\/9. Let u(i) = 10*i + 126. Let l be u(-12). What is the highest common divisor of l and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 162\/(-42))\/(-1). Put l, -0.2, 3, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5281 (base 12) to base 7.\nAnswer: -35212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6607 divided by -5\nAnswer: -6607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 205750534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*u - 18 - 2 - 2*u.\nAnswer: 4*u - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 7341898646*j**2 - 7341898646*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 - 24 = 0. Suppose -5*j - 4 = 1. What is the closest to j in v, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 121 = -46*m. Solve -z = -a + 5*a + 16, 7 = -4*z + m*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c6d58 (base 14) in base 12?\nAnswer: -1b19aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2501569 - 1011533. Let i(q) = -83747*q**3 - q**2 + 4*q. Let j be i(-2). Suppose j = 3*h - n. Round h to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 34 = -2. Calculate the greatest common factor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19839669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(-3)\/9 - 1. Suppose 8 = l*c - q - 5, -c + 9 = -q. Let r = -13\/2 + 121\/18. Sort 2, r, c in descending order.\nAnswer: c, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -42, -2, 12, 84.\nAnswer: -42, -2, 1, 12, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -9*x - 1152. Let p = -45 - x. Is p at most as big as 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**4 - 69466*p**3 + 4*p**2 - 2*p - 16158 wrt p?\nAnswer: -24*p - 416796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u - 4. Let y be i(-3). Suppose -5*c = -c + 5*g - 16, y*c = -2*g + 8. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*i = -0 - 5, 0 = 4*f + 3*i - 10. Solve -3 - f = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*i - 182*i + 9 = 0. Let p(x) = 2*x - x - 6 + 3 + 6. What is p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose 0 = -5*m + 3 + 7. Suppose 3*o + x*o - o**m - 5*o = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 4*v**5\/15 - 7*v**3\/3 + 41*v**2. Find the first derivative of b(c) wrt c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Let h(i) = -i**3 + 5. Let y be h(0). Let n be z(y). Suppose 7*m - 39 = n*m. Solve -4*x = -4*f + x + m, 2*x + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15) + 0)\/(646\/(-969))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*d = -254*d + 50. Solve -2*m + d = -12*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*g - 3)*(-4 - g**2 + 0*g**2 + 12) - 3*g**3 + 6*g**3 - 4*g**3)*(-2 - 4 + 5).\nAnswer: -g**3 + 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 14\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.460868338 to four dps.\nAnswer: 2.4609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337854 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3174*m - 3174*m + 7012*m**2 as s + r*m**2 + f*m and give r.\nAnswer: 7012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d + 2. Let w be h(0). Suppose 0 = -l + 3 - w. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 7102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/60 - 1763*s**4\/36 - 1175*s**3\/18 + 2873*s**2 + s. What is w in c(w) = 0?\nAnswer: -1175, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*c - 25 = 2*c, -5*c - 11 = 2*p. Let j = -1 - -1. Suppose j*h + 28 = p*h - 5*i, i = -h. Solve b + 17 = 4*q + 5, -3*b + 2*q = -h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 2, i: 6, w: 6, g: 1, v: 2}. Give prob of sequence dwvi.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 2\/105*s**6 - 1\/42*s**5 + 1\/84*s**4 + 0*s**3 - 7*s**2 + 0 + 0*s - 4\/735*s**7. Determine l, given that d(l) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(h - 3*h + 0*h)*(-44*h**3 - 293*h + 293*h).\nAnswer: 176*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 21*l - 103. Let d(u) = -49*u + 308. Let v(s) = -3*d(s) - 8*j(s). Calculate v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -547 + 541. Let w be ((-24)\/i + 2 + -5)*-3. Let v = -0.02 - -0.12. What is the closest to -0.2 in w, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -c + 223. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (-4 - -4)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10148 minus 107322.2435?\nAnswer: -117470.2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a*a*a**(-3)*a)**(11\/7)*(a\/(a*a*a**(-1\/3)*a)*a**(1\/2)*a)**(-32) assuming a is positive.\nAnswer: a**(79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 61*k + 3. Let m be p(1). Let d = m + 50. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -488 - -488.061917. Round w to three dps.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 32 = 3*w, -4*p + 108 = 5*w + 14. Find the common denominator of p\/(-45)*2\/(-4)*21 and -10\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18676730, 18676737, 18676744, 18676751?\n\"Answer: 7*n + 18676723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (-2 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.9 times 0.024?\nAnswer: 0.5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327 or 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g + 14 - 67*g - 4*g + 2*g - 67*g.\nAnswer: -183*g + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/631 (b) 0.3 (c) -3\/8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28647 (base 9) to base 13\nAnswer: 8b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -43\nAnswer: -73.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/2 - 5121*k**2\/2 - 889812*k + 180573624.\nAnswer: -3*(k - 141)*(k + 924)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 11. Let k(z) = 2*z + y*z - 4*z - z. Let u(c) = -2*c**2. Determine k(u(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12904.8 + -12905. Which is the second smallest value? (a) -1\/56 (b) 3\/7 (c) -0.1 (d) o (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.02, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -406131.842?\nAnswer: -406128.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, s: 2}. Give prob of picking 1 r and 1 s.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2648, -5277, -7906, -10535?\n\"Answer: -2629*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 22*s - 35 = 0. Suppose -12*n + s*n = 15. Is 40\/3 + (-2)\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + 0*h)*(3*h**2 - h**4 - 3*h**2) - h**3 + h**3 - 2*h**5 + (h**2 - h**2 + h**3)*(h**2 - 3*h**2 + 23*h**2) + 3 + 4*h**5 - 3.\nAnswer: 22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/60 + r**4\/24 - 5*r**3\/6 - 3*r**2\/2 - 2*r. Let y(t) be the first derivative of q(t). Give y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/511*14\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.8766 from -1738.\nAnswer: -1734.1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*j - 217*j - 212*j + 643*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 + 2*x + 3. Let s be g(4). Sort -4, s, -2 in ascending order.\nAnswer: s, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (-2*3)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 17. Let j(s) = s + 2. Suppose -23 - 1 = 4*z. Let p(x) = z*d(x) + 51*j(x). Let r(c) = -3*c. Calculate r(p(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115392 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 600 (c) 26 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 187.69.\nAnswer: -4504.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143708 or -140139?\nAnswer: -140139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 159 + -2 + -6 + -1. What is the greatest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56321 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 21676541.\nAnswer: 21676540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 490916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*c**3*r**3 + 234*c**3 + c**2*r**2 wrt r.\nAnswer: -1278*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606 = -288*q - 101*q + 5229 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -34. Solve 0 = -2*a + a + s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-26) + 90\/(-78). Let w be (-3 - s - -2)\/1. Suppose 0 = -2*l - 3*f + 2*f + 1, 5*f = 4*l + 5. Is w less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-12)\/63 - (-52380)\/263088).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1205513242?\nAnswer: 1205513240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oototottot. What is prob of picking 2 t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*f**2 - 67*f**2 - 76*f**2 - 79*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526869497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/((-24)\/32). Suppose d*k + 4 = 3*k. What are the prime factors of ((-8)\/(-6))\/(k\/36)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-1))\/(2\/219). Suppose 237 = 2*n - v. What is n rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-40)\/36)\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*r - 94698 + 332817 = -58*r. What are the prime factors of r?\nAnswer: 3, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -255*s + 244*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 + 54*w**2 + 13*w - 230. Let a be k(18). Let x be (-25)\/(-2) - 2\/4. Solve a*l = -x, -5*d - l = l + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4445817484 to the nearest integer?\nAnswer: 66677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238 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 m = -0.4 - -3.4. Let p(b) = 40*b + 276. Let t be p(-7). Sort -0.5, 0, m, t in ascending order.\nAnswer: t, -0.5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y + 4. Let t be j(-8). Let n = -40 + t. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-1*4 + sqrt(209) + 4*(sqrt(209) - (sqrt(209) + (sqrt(209) - 1*sqrt(209)))))\/((sqrt(176) - sqrt(11) - sqrt(11))*3*4).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 193 + 0*o**2 - 194 - 5*o**2 + (4 - 4 - 1)*(-2*o**2 + o - o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, l: 2, t: 2, m: 1, j: 1}. Give prob of picking 1 t and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 29*b + 98. Let d be y(26). Solve 5*o + 58 = -3*z + 21, -5*z - d = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {j: 1, o: 1, q: 5, y: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4848*m + 1973*m + 2*m**2 - 2*m**5 + 110*m**4 - 701*m**4 wrt m?\nAnswer: -40*m**3 - 7092*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12*p**2. Let m(j) = 6*j**2. Give m(i(u)).\nAnswer: 864*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 222000218220 from -2610.\nAnswer: -222000220830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 1. Let j be l(-9). Suppose 0*n + n - j = -y, -3*n - 1 = -2*y. Suppose y*a = 5*k + 150, -a + 2*k + 2 + 32 = 0. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 987*z - 13*z**2 - 1985*z + 997*z - 3 to w*z + v + m*z**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73733325 divided by -6843.\nAnswer: 10775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-15))\/(2\/21). Suppose 0 = -16*r - 87 + 567. Let f(x) = -30 + r + b*x**2. Let k(s) = 2*s. Calculate k(f(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.493 - -254.993. Let n = q - 255. Let d = -12\/25 + 123\/100. Sort d, -4, n, 2\/9 in descending order.\nAnswer: d, 2\/9, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 709.9 - 714.9. Put x, 4, 21, 19 in descending order.\nAnswer: 21, 19, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 n when four letters picked without replacement from {n: 5, f: 7, m: 8}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2\/8 - 87*d\/8 + 75\/2 = 0. What is d?\nAnswer: 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 2*f - 2. Let g(c) = -1 - 17*c**2 - c + 16*c**2 + 0. Let l(p) = 2*g(p) - k(p). Let a(o) = -6*o**2. Give l(a(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 79*o**2 + 1 + 156*o**2 - 77*o**2 - 11*o as y*o**3 + i*o**2 + n*o + d and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 807528 and 0.242.\nAnswer: 195421.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 1, f: 1, b: 2, k: 1, y: 1}. What is prob of picking 1 b, 1 l, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -806 + 754 + (40 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*f**2 - 186 + 57 + 56 wrt f?\nAnswer: 148*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182*n - 132816 = -1585*n for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.081998?\nAnswer: 0.0573986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 13. Suppose o = -k - 2*k + 488, q*k + 5*o - 508 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + (-9)\/(-3) + 2. Let j be (-12)\/2*10\/(-15). Sort j, 2, y in ascending order.\nAnswer: y, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00359979919 to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 16*g**2 + 19*g**2 - g - 58*g**2 + 14*g**2 - 3. Determine q(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 0*x - 3*a - 48 = -4*x, 5*x = 2*a + 53. What is the remainder when (-2)\/(-4)*(11 - -37) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 15. Let z = 17 - r. Suppose 2*x - 39 = d, -2*x - 2*d + z*d + 35 = 0. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u - 2 - u**2 - 3*u**2 + 0*u + 4 + u**3. Suppose -21*d + 95 + 10 = 0. Calculate x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 12445 - 37896 + 11743. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*109\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/35)\/(13\/(-182)))\/(20\/(-75))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 3*a**2 - a**2 + (-5*a + 3*a + 0*a)*(-1 + a + 1) - 2*a**2 - 4*a**2 + 4*a**2 + 47*a**2 - 165 + 165 to the form h*a + g + r*a**2 and give r.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 611 + -434. List the prime factors of v.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 2*r**2 - 13*r**2 - 4*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 1, 0 in decreasing order.\nAnswer: 1, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/(-6) + 20\/(-30). Let o be ((-1088)\/320)\/(1\/(-5) + 0). Solve -s*u = o + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1081887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 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: Which is the smallest value? (a) 2\/5 (b) 71 (c) 5\/2 (d) 2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 340, 1\/5, -250?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/300 - o**5\/75 + o**4\/60 - 6*o**2. Factor i(v).\nAnswer: 2*v*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 259*r**2 + 16*r + 54. Let o be p(17). Suppose 10*d - d = o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = 4*s. Let b = s - 1. Suppose -i + b*i - 39 = 0. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1003, -1011, -1025, -1045, -1071?\n\"Answer: -3*n**2 + n - 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 48*b**2 - 62*b + 13. What is a(-49)?\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 14*p = -9. Let a(n) = p*n**2 - 73 + 73. Let w(d) = d**2 + d + 1. Let g(t) = -8*t**2 - 9*t - 9. Let f(v) = 2*g(v) + 18*w(v). Give f(a(z)).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2 - 4323*o = 0.\nAnswer: 0, 1441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 750 divided by -25\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u. Let i(z) = -12*z. Give 9*c(y) + 2*i(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 35*w - 30 = 37*w, -5*c = -w - 114. Calculate the smallest common multiple of 218 and c.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*d**5 + 5*d**5 - d**5 + (d**5 - 4*d + 4*d)*(4 + 3 - 5) - 4*d**5 - 90*d - d**5 + 80*d.\nAnswer: 14*d**5 - 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990607 is divided by 3013.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**3 - 2*a**2 + 5*a - 6. Let s(j) = -10*j**3 + 5*j**2 - 9*j + 10. Calculate 5*d(f) + 3*s(f).\nAnswer: -5*f**3 + 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9923 take away 99.51?\nAnswer: -10022.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 202*q**2 - 232*q + 5884. Calculate m(203).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 3*o + 2. Suppose 78 + 167 = -49*g. Calculate d(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1806179 + -2?\nAnswer: 1806177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:00 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/8))**(-22\/7))**(-3\/22)\/((t**1)**(-22)*t**8\/t**(-1\/11)) assuming t is positive.\nAnswer: t**(8865\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009.91 plus 949678841?\nAnswer: 949679850.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 144138245 divided by 5\nAnswer: 28827649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 165 - 5)*(-162*y + 73*y + 80*y - 1).\nAnswer: 1179*y + 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2700831 divided by -51.\nAnswer: 900277\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*o = -381*o + 221*o + 1749 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 8. Suppose n - 16 = -n. Let t be p(n). Suppose 2*c - 134 = -4*v, t = -3*v + 4*c + 22 + 95. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151\/3 - 50. Suppose -2*o - 5 = -3. Let u(d) = d**2 + d - 1. Let j be u(o). Which is the nearest to j? (a) 0 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbizyiddyyi. What is prob of sequence yz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l. Suppose 0 = 2*s + 6 - 2. Put -4, s, 2, l in increasing order.\nAnswer: -4, s, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 4*f**2 + 5*f. Let i(m) = m**3 + m**2 - m. Suppose 4*n = -5*n + 9. Calculate n*q(x) + 4*i(x).\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 + 216. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:38 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*1\/3 + 264\/72. Suppose -28*k + o = -51. Suppose -4*i - 8 = -0*i + 4*l, -2*i = -2*l - 16. Solve -c + 6 = k*y, 0 = 3*y + 2*c - i*c + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -13.\nAnswer: 113\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-714))\/(4\/16076). Let y = u + 383\/17. Calculate the common denominator of y and 93\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 136, 4333 in decreasing order.\nAnswer: 4333, 136, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.00282 to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 8*s - 4*s)*(4*s**2 + s**3 - 4*s**2).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140.54507 milliseconds in weeks?\nAnswer: 0.000001885821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 6*j**2 + 7*j + 12. Let a be t(-5). Factor -2\/5*b**a + 4\/5*b + 0.\nAnswer: -2*b*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-6)\/5)\/((-48)\/120))\/((-33)\/(-132)). Solve -195 + 111 = -h*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 - -182. Calculate the common denominator of (a\/22)\/(4\/(-26)) and 63\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.23 and -45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14978 - -0.5.\nAnswer: 14978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 484 + -162. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 392.999999955 + -393. What is q rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/4 - -5)*(-8)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/60*-2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29983670 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - n + 6 = -5*n, 3*z + 5*n = -24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1774 = -3*j - j, 2*j - 5*f = 896. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*h = -3, -5*j + 5*h + 4921 = 4896 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 13.6. Let i = w + 19. Let q = -2 + i. What is the second biggest value in q, -0.5, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Suppose j = b + b. Suppose -b*v + 9 = -5*v. Put -5, v, 0 in ascending order.\nAnswer: -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 5*b**2 - 6*b + 4 + 2 + 17 - 7. Give u(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0 + 2\/15*f**5 + 1\/6*f**3 - 6*f**2 - 1\/4*f**4 + 0*f + 1\/120*f**6. What is the units digit of z(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8624.223 centuries to months.\nAnswer: 10349067.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15*v + 34 = 0. Let h(q) = -4*q + 2. Let a be h(-2). Let s(t) = 24 - a - 14 + 3*t**v. Let p(r) = 2*r. Determine p(s(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 - 89 - (-1754 - -1761)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 2383.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-105))\/8 + 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9473425 + 697064 = -335*k - 816761. Is 88 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let f(m) = 10491*m**2. Give f(c(l)).\nAnswer: 41964*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 2556*k.\nAnswer: -2*k*(k + 1278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + v**2 + 222*v**3 - 430*v**3 + 215*v**3 + 235*v.\nAnswer: 7*v**3 + 235*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1212902.09 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*m - k - 22, -m - 2 = -3*k. Suppose 5*o - 2*n - 8 = 3, n = -5*o + 17. Put o, 15, m, -5 in decreasing order.\nAnswer: 15, m, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**3\/6 - b**2\/2 + 4*b. Let z be f(-4). Let q be 16\/z + (-2)\/6. Solve 0 = 5*l + 3*y + 2*y + 15, -2*l - 3 = q*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/(-2)*(3 - 0) and -5 + 5 + 139\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000595 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182.9335 + 0.0665. Let d = w + -182.7. Which is the closest to d? (a) 2 (b) -14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 827859771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + -3*sqrt(95)))\/sqrt(5) + (sqrt(2736) - sqrt(2736)*-2)**2.\nAnswer: 3*sqrt(19) + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -29. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*s + 527*s**3 + 27*s - 8*s**4 + 530*s**3 - 1060*s**3 + s**2 to j*s**3 + w*s**4 + y*s**2 + z*s + l and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 - -1) - (6 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-40)*4\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92321 * 0.59.\nAnswer: 54469.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 39672 = 4*o, -2*o = 3*m - 9336 - 10501. What is the thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**(-3\/10)*w*((w*w\/(w\/w**(-2\/5))*w)\/w)\/w*w*w*(w*w*(w\/w**(-4))\/w*w)\/w*w*w**(-7) assuming w is positive.\nAnswer: w**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -110. Solve 13 = 2*h - 5*s, -b*s - 10 = h + s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.52 - 0.22. Which is the closest to -0.2? (a) 5 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiggggg. What is prob of sequence ig?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6*-18*(-29)\/39150\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = 168. Let j be ((-7)\/(-14))\/((-2)\/q). Let o = j - 11. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 860 = -2*w, -w - 1228 = 4*g - 4640. Suppose -p = p - g. Is p\/10 + (-12)\/20 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*x - 18*x. Suppose 0 = -p - 3*y + 14, -4*y + 20 = 2*p - 0*y. What is the greatest common divisor of x and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 1\/3588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60\/42*9996\/(-1020)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1 (c) 29 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05797 + -3\nAnswer: -2.94203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.63 + -42.63. What is the closest to -18 in -1, 4\/3, v, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -394?\nAnswer: -145\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27442 plus 8.038?\nAnswer: 8.31242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 5:20 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193245?\nAnswer: 3, 5, 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.12 (b) -1\/5 (c) -0.224 (d) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*m = -6, 3*d - 2*m = 3*m + 21. Let p(s) be the first derivative of 2\/9*s**3 + 0*s - 11 + 1\/4*s**d + 1\/24*s**4. Factor p(x).\nAnswer: x*(x + 1)*(x + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 11*a + 6*a)*(23 + 50 + 20)*(4*a**3 - a**3 - 4*a**3).\nAnswer: -279*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 358*w - 76850. Give h(-151).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 0*z**4 + 25 - 31\/5*z**5 + 21*z**2 + 0*z + 0*z**3. What is the second derivative of x(y) wrt y?\nAnswer: -372*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 271 (base 13) to base 6\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 47. Which is the fourth smallest value? (a) -2 (b) 5\/4 (c) z (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7.6. Which is the closest to 6? (a) 2\/7 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1578*j**2 + 1180*j - 1180*j + 2344*j**2.\nAnswer: 766*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d - 182 + 182.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -44. Let q = 51 + g. Let x = -22.7 + q. What is the closest to -0.2 in x, -3, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, -83, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207915.\nAnswer: 3, 5, 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 16495 = -19*q - 5*m, 4*m = -4*q + 66028. What are the prime factors of q?\nAnswer: 2, 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*o + 0*o - 1253 = 0, 3*o + 835 = 2*a. Suppose -153*d = -260*d + 5564. What is the highest common divisor of a and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 4*l + 2. Let j be r(-5). Let i = 0 - j. Let s = -5 + 5. Solve -3 = -s*x - i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19662260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 17*x - x to c + j*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 2*t**3 + 2*t - 5*t**3 + 2 - 9*t**4 + 3*t**2 in the form i*t**2 + p*t + q + m*t**3 + v*t**4 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01178 - 0.08178. Let x(t) = t**3 + 5*t**2 - 7*t - 7. Let h be x(-6). Let g = 5 + h. Sort -4, 3, g, k.\nAnswer: -4, k, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + (-261)\/81 + 0 + (-4)\/(-18). What is the greatest common divisor of 2691 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1262*a + 12620. Give t(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25536552 and 1464?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 115, 168, 209, 232?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + d - 45, 0*s = 2*s + 4*d. Calculate the remainder when s is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 4*g - 5*g)*(-5*g**2 + 5*g**2 - 2*g - g**3).\nAnswer: -2*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 2*g - 2*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, v: 3}. What is prob of picking 4 x?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1864180 + 2*f**2 + 3728361 + 323*f + 2*f**2 - 1864181 - 2*f**2.\nAnswer: 2*f**2 + 323*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 - 2*t + 1. Let b(a) = 147*a**3 + 6*a**2 + 129*a + 6. Let z(v) = b(v) - 6*s(v). What is the second derivative of z(m) wrt m?\nAnswer: 846*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooolebooif. What is prob of sequence olof?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4301 - 0.2771. Let c = -0.153 + k. What is the closest to -1\/4 in -0.17, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:04 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 + 9 + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - 357. Let f be (-1)\/(-3) + w\/(-24). Let v(m) = 8*m**2 + 2*m - 2. Let q be v(2). Calculate the highest common factor of q and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 25*c - 114. Calculate y(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 187.8 from 43.279469.\nAnswer: -144.520531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j. Let i(y) = -3*y**3 + y**2 - 2*y - 1. Let u(b) = 2*i(b) + 5*k(b). Determine u(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(-3\/5)*c))**(-6\/13)*c**(-1\/14)\/c**(9\/4) assuming c is positive.\nAnswer: c**(-3049\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + i**2 + i + 4. Let r be v(3). Suppose -16*h + 2*h = -r. Differentiate h*w + 17*w - 22*w - 7*w**3 + 47 wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137 + 30?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.98086 rounded to three dps?\nAnswer: -0.981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 20*u + 4*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8216)\/(-2002) + 4\/(-14) - 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52410973189\/5700480 + 1\/1140096. Let b = -9189 - w. Find the common denominator of b and (-20)\/(-22)*(-4)\/(-6).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15566*g + 18*g**2 - 15567*g + 7*g**2.\nAnswer: 25*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let q = 0 - y. Let j = 1 + -1. Sort -0.2, q, j.\nAnswer: -0.2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 5*l + 4. Let m be u(4). Suppose 18 = -m*k + k. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 2*j**2 - 21*j + 9. Let a be b(6). Let y be (3 - a\/(-81)) + (-2608)\/90. Is -30 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.4507+0.01\nAnswer: 9.4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497192*v**3 - 3*v**2 + 2*v + 54471.\nAnswer: 2983152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 40. Let t be 244 + -247 + 48 + -5. Calculate the highest common divisor of t and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-312880)\/25)\/(16\/2000). Round b to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3887 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 0*c + 3*c)*(-32*c + 20*c + 19*c).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14299, 28573, 42825, 57043, 71215, 85329?\n\"Answer: -2*g**3 + g**2 + 14285*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 5. Is 3 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5 = 2*d, 0*y = -3*y - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8377693km in meters?\nAnswer: 837.7693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35797*d**5 + 9095*d.\nAnswer: 715940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 11) to base 8\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.20707394 * -0.4\nAnswer: -0.082829576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 234*m**2 - 599*m - 1. Give d(2).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 5, f: 2}. What is prob of sequence ff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-43))**12\/((h*h\/(h*h**7)*h**1)\/((h**(-2)*h)\/h**(-1))) assuming h is positive.\nAnswer: h**349","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:47 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 31 - ((-1 - -4) + (-30 - -19))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v. Let c(n) be the second derivative of -61*n**4\/3 + 9496*n. Give c(o(m)).\nAnswer: -24400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 10*z**2 + 11*z - 9. Let u = 36 - 27. Let n be r(u). Let g = n + -7. Solve 0*x + 2*x + g = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.19493582 - -56?\nAnswer: 49.80506418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 5*z - z - 4*z + 851.\nAnswer: 2*z + 851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -114. Let k = f + -49. Suppose -5*b + 3 + 18 = 3*p, 0 = -b + 4*p + 18. Solve b = 3*v - k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 7*q = 10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*v - 2*v**3 - 111*v + 6 + 9*v**2 - 7 in the form c*v**2 + f*v + h + z*v**3 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/(-164))\/(15\/24)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1602913 and 2652.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 763 + 1a9?\nAnswer: 93c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -269. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2400 + 12*l**3 + 3*l + l**2 - l**2 + 1199 + 1199. Let j(n) = 36*n**3 + 10*n - 6. Calculate -3*j(o) + 10*u(o).\nAnswer: 12*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, g: 3, l: 6}. What is prob of sequence gg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)*t**3*(t\/(t*t**0))**34 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22380 is divided by 2815.\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*m + 18 = -3*w, -5*w - 25 = -m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**2 - 13*x + 2*x - 10 + 66*x**3 - 68*x**3. Let q be y(-5). What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 4, 5, 2, -3 in ascending order.\nAnswer: -3, 2, 4, 5, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 40*2449\/(-790) - -57\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 27703676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 129368690 divided by 139\nAnswer: 930710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6993 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) - (-12)\/5. Suppose -2 = i*y - y + 2*n, -3*y + 27 = -5*n. Find the second derivative of 3*z + y*z**4 - 2*z**4 + 2*z**4 wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113322 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 124362.\nAnswer: 1\/62181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 7:34 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 19. Let k be 64\/i + 3\/(-9). Suppose 2*g - 6 = -h, -3*h - k*g + 16 = -7. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204986*d*l*r**3 - 11*d*l*r**2 - 1458*l*r**2 - 80*l*r - r**3 with respect to d.\nAnswer: -204986*l*r**3 - 11*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -2. Let r = 3.95216 - -0.04784. What is the nearest to -1\/3 in k, r, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/(72\/(-540))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) - (sqrt(7) - (sqrt(7)*2)**2))*-6.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-2\/5))\/(m\/(m\/(m\/m**(2\/25)*m)*m*m))*m**(3\/2)\/((m*m*m**(-1\/2))\/m) assuming m is positive.\nAnswer: m**(87\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 787, 1119, 2001, 3709, 6519, 10707?\nAnswer: 16549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1182.566737556 and 0.179.\nAnswer: 1182.745737556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -29*(-5 + 4 - 9). Let v = p - 280. Solve 0 = -4*i - v - 2, 0 = -3*l - 2*i + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 11*v**2 - 13*v + 14. Let t be z(12). Let y = -1035 + 1064. Calculate the highest common divisor of y and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -46. Suppose 2*n + 5*d - 84 = 0, -144 = -5*n + 2*d + 8. What is the remainder when j is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, 0.06.\nAnswer: -18, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*j + 1430*a**2 - 5*j + 438 wrt a.\nAnswer: 2*a*j + 2860*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.7 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 896*v**3 + 1532 + 3645 + 174*v**3 wrt v.\nAnswer: 3210*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 + 9*v - 17. Let k be l(3). What is the greatest common divisor of k and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7287 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29 - -7) + -3 + -3. What is the units digit of h\/5 + 4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 179? (a) -558 (b) 2\/17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 16479658?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*((g**(3\/4)*g)\/g*g)\/g*((g**(-2\/11)*g)\/g)\/g*g\/(g**(-45)\/g)*g\/g**4*g assuming g is positive.\nAnswer: g**(2005\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 91*y**2 - 191*y - 101. Does 41 divide g(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(42\/(-4))*(-35)\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6 + 22. Let t = 597\/238 - 1\/119. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 19*b + 4. Let x be l(-1). Suppose 3*d + 37 = -26. Let w = x - d. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/420*1820\/26?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-18))\/i)\/((i*i*(i\/i**(1\/20))\/i*i)\/i)*(i\/(i\/((i**(2\/19)*i)\/i))*i)**(-10\/11) assuming i is positive.\nAnswer: i**(62889\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**5\/3 - 10873*p**4\/3 + 294100*p**3\/3 - 2179652*p**2\/3 + 1264592*p + 2092800 = 0.\nAnswer: -10900, -1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36265773 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13193693, 13193688, 13193681, 13193672?\n\"Answer: -c**2 - 2*c + 13193696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 0\/(-1) + 65. Suppose -37*j + 67*j = -q. Let d = 870\/7 + -124. Which is the nearest to -2? (a) j (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1 + 8\/(-6). Suppose -3*d = -24 + 9. Suppose d*c + 0 = 10. Is p >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1212 + 1864. Suppose -3*g - 7 = -19, 2*m + 3*g = z. Calculate the remainder when m is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980.6932 millilitres in litres?\nAnswer: 0.9806932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2*o + 73. What is k(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((432\/(-56))\/(-18)*-7*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(0*n + 3*n - 5*n) + (29*n - 283*n + 79*n)*(-1 - 1 + 0)*(-1 + 1 - 1) to d*n + a and give d.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 2 (c) 1\/5544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2\/5 + 68*u - 3976\/5 = 0. What is u?\nAnswer: 14, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10996231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234 + 333. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(72)\/sqrt(3)*1)\/(sqrt(132)\/(sqrt(11)*1) - (sqrt(12) + sqrt(36)\/sqrt(3)*5)).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 57, -40, -221?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*p**2 + 6*p - 15*p**2 + 32*p**2 to d + i*p**2 + f*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 36*g + 43. Calculate a(7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 448 = -436. Suppose s = 5*u + 16, 0 = -2*u + 3*u - s + 4. Let r be (0 + (u - o))\/7. What is the third smallest value in -2\/7, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.7 + 0.9. Let x = i + -17. Let q = x + 1.7. Which is the smallest value? (a) 2\/5 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 13*o - 3*o + o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39697 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1229535 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 2036*h**2 + 210980*h + 154746900.\nAnswer: -4*(h - 261)*(h + 385)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)\/(w\/w**(5\/3)))**(-38))**(-39) assuming w is positive.\nAnswer: w**(-7904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(104)*2 - 1*sqrt(104)*-4)\/(sqrt(40)\/(sqrt(5) + sqrt(80) + sqrt(5)) - sqrt(504)\/sqrt(7))*-5.\nAnswer: -960*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -399\/82717?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16545*k + 2 + 1 + 3 = 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*1 - (-8 + (-2521 - -15)).\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 1. Let c = 26 + -22. Suppose 5*u = 4*w - 0 + 3, 3*u + 3 = c*w. Calculate the lowest common multiple of l and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 290, 330, 370?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 26*s**2 - 48*s - 73. What is u(-16)?\nAnswer: 3255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:34 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 20*a**3 + 12*a**2 + a + 73. Find the second derivative of r(o) wrt o.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 10*n - 29. Give a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f**2\/8 + 119*f + 80 = 0. Calculate f.\nAnswer: -16, -40\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/71880 and -1\/3170?\nAnswer: 22785960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54054.53 kilometers to millimeters.\nAnswer: 54054530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6\/5))**(1\/22)\/(h**(-20)*h\/h**13))**(-6\/7) assuming h is positive.\nAnswer: h**(-1506\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from dkdqdqkqkkqdkkc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from memmmmme. What is prob of sequence mmee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (167\/1002*(-6)\/(-7))\/(2\/(-24))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 + -355. Let i be (-3)\/n - ((-28)\/6)\/(-14). Let b = -11 - -8. Put -2, 3, b, i in ascending order.\nAnswer: b, -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 22317906.\nAnswer: 4463581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -421*g - 1927. Let r(f) = -1261*f - 5782. Let i(n) = 10*p(n) - 3*r(n). Find the first derivative of i(l) wrt l.\nAnswer: -427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-22) + -1 + (-138)\/11385*-3645.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-700)\/48))\/((-34)\/(-85))*41\/(-246).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s - 8. Let w be c(9). Suppose 3*p + 3*i - 66 = -0*i, -3*p + 61 = 4*i. Suppose 0 = 2*r - p + 21. Sort 6, r, 2, w in increasing order.\nAnswer: w, 2, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/89 in -2, -22, -5, -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.2277 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 9*u + 15. Let o be v(10). Suppose -o*t = -667 - 58. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325523.8ml in litres?\nAnswer: 325.5238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let c(w) = 70*w**2 - 50*w - 50. Let u(z) be the first derivative of -z**3\/3 + z**2\/2 + z - 38. Let g(d) = c(d) + 50*u(d). Determine g(n(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 31050 = -19*d. Is d a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1936 + -1351. What are the prime factors of a?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2 - 5*l - 8. Suppose 0 = -6*p + 65 + 127. Suppose -8 = 7*w - 9*w. Let r be (-16)\/p + 46\/w. Let m(f) = 15*f**2 - 9*f - 15. Give r*q(u) - 6*m(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7530 and 3795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140386 take away -4.5?\nAnswer: 1140390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ee16da + -4?\nAnswer: -2ee16de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 4*g**2 + 183*g - 74. Let o(z) = 7*z**3 - 9*z**2 - 367*z + 167. Calculate -4*o(x) - 9*s(x).\nAnswer: -x**3 - 179*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*81926\nAnswer: -163852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -3 (c) -1\/6 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4135086 and -73.\nAnswer: 301861278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z - 1. Let k be b(3). Let w be ((-8)\/(-10))\/((-5)\/k). Suppose -2*y + w = -3*n, -y - 2*y - 5*n + 6 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2958443.7 months?\nAnswer: 2465.36975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*j + 12, -2*j - 2 = -2*f + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113981868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24951*c**2 - 1147145 + 1147145.\nAnswer: 24951*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 1.9. Let d = 1.5 - 3.2. Let b = x - d. Sort -1\/4, 0.1, b.\nAnswer: b, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11497*d**2 - 440*d**2 - 423*d**2 + 11461*d**2.\nAnswer: 22095*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -935*a**2 - 38*a. Let s(c) = 2*c. Give t(s(w)).\nAnswer: -3740*w**2 - 76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 11:17 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233283?\nAnswer: 23, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/10*(-33 - -28). Let j(y) = -16*y**3 + 3*y**2 + 6*y - 2. List the prime factors of j(t).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 6*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/32383796 and -113\/48575694.\nAnswer: 97151388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -768*q**4*r - 34*q**3 + 3*q*r + 983546*r - 7 wrt q.\nAnswer: -3072*q**3*r - 102*q**2 + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228098 + 3*q**2 - 228098 + 9*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 708338662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*u**3 + 2*u**2 - 6*u**2 + 131*u**3 + 6*u**2 - 3*u**2.\nAnswer: -90*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 3. Let f(x) = -2*x + 4. Let v(c) = 2*f(c) - 3*q(c). Suppose 6*k - 1 = 5. Let t(p) = 2*p**2 + 6*p + 5. Calculate k*t(l) + 6*v(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -1. Let n be 4*(-14)\/f + 1. Suppose 0*q = -q + 75. What is the greatest common factor of n and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*c - 1. Suppose 3*m = 5*q - 8, 5*m + 0*q - 5*q = -c. Let b = 1 - m. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -45, 43 in decreasing order.\nAnswer: 43, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:26 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 73, 119, 141, 115, 17?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 128*q**2 - 884*q + 2312.\nAnswer: -4*(q - 2)*(q + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -157532\/5 not equal to -31507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 50 - 13 = 0. Let x be 1\/4 + p\/(-12). Let z be -3 + 5 - (x + -9). Which is bigger: z or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 318512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 434037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/2)*v**(2\/5)*v*(v*v**(-7\/4))\/(v\/v**(1\/2)) assuming v is positive.\nAnswer: v**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = 2*h - 0*h, -5*g + 3*h + 30 = 0. Suppose -24*p + 25*p = -3*v + 71, -v + 37 = g*p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448.58 rounded to the nearest 10?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + p**4 + 6*p - 15*p - 9*p as g*p + c*p**4 + m*p**3 + b + r*p**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:52 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3042)\/(-1014))\/(4\/((-28)\/(-3)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-2 + (sqrt(13) - sqrt(208)))) + sqrt(13) + (sqrt(156) - (sqrt(156) + sqrt(156)*-2 + sqrt(156)))\/sqrt(12))*-1.\nAnswer: -6*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 3. What is m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + 5*l)*(-1 + 0 - 2) + (-3 + 2 + 0)*(2 - 2 - 2*l).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y + 7. Let d be r(-4). Let w be d\/4 - (2 + (-58)\/8). Solve m = 2*m + 4*k + 12, w*m = k + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31173863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:31 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -73, -83, -91, -91, -77, -43?\n\"Answer: a**3 - 5*a**2 - 2*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*g = -110, -3*v + 69 = -3*g - 81. Put v, 2, -4 in decreasing order.\nAnswer: v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/10 + (-10)\/(-4). Solve 2*k - 6*k + 9 = -r*x, 3*k = 2*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 18*y**3 + 14*y + 3*y**4 - y**4 - 16*y**3 in the form q*y**2 + x + h*y**4 + o*y**3 + c*y and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8fddd6 (base 16) to base 2.\nAnswer: 100011111101110111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q*x**2 + 3778834*q*x - 8557*q - 3*x**2 + 2*x + 5763 wrt x?\nAnswer: -2*q*x + 3778834*q - 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.03, 1\/2, -0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13 = -3. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/6 - (-258)\/(-156). What is the second biggest value in 2, m, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 14, 4, -0.1, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9348163.5*0.6.\nAnswer: -5608898.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51648363055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 1, s: 2, m: 1, n: 1, a: 1}. What is prob of sequence msa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-8 - -4) - (1 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2423030 - 1210?\nAnswer: -2424240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2 - -16) + 0. Let q be ((-8)\/12)\/((-4)\/(-6)) - -1. Suppose q = -9*s + 4*s + 350. Calculate the greatest common factor of w and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.559244512 take away -0.05156?\nAnswer: -83.507684512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 3*c - 5. List the prime factors of z(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 28850*f - 260590. Give w(9).\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 20*v + 23. Let l be m(8). Let o(g) = -g**2 - 12*g - 23. Does 3 divide o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/106435 - -164016317\/957915. Let w = 171 - q. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/5 - 32*q = 0. What is q?\nAnswer: -80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*s + 1367*s + 585*s.\nAnswer: 2344*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261554 is divided by 261222.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/25 + (-2)\/10. Let b = d + 0. Is b < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 - 140 = -78*v + 77*v - 5*x, 3*v = -7*x + 278 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14568 and 20?\nAnswer: 72840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348777 and 683462.\nAnswer: 3523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -ba906 (base 12) to base 8\nAnswer: -741626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421 = -9*m - 412 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50b + 5b291?\nAnswer: 5aa83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2791159020 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + (0 + 0 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-9))\/(4\/(-24)) - 3895*-15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 4*z**2 - 2*z - 2. Let l be j(-4). Let x be 14\/42 + (-5)\/l. Which is the third smallest value? (a) x (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810 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: b\"What is the hth term of 1836, 1840, 1846, 1854, 1864, 1876?\n\"Answer: h**2 + h + 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/21, -489, 0.5, -5, 12 in decreasing order.\nAnswer: 12, 0.5, 1\/21, -5, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 - -118. Suppose 4*f - 3*w = 2*f + 16, -14 = -l*f + w. Find the third derivative of 78 - 78 - 44*i**f - 39*i**3 wrt i.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.987 times 4\nAnswer: 3.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 39505, -1580, 0 in decreasing order.\nAnswer: 39505, 0, -1580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 - 12895866*g - 51583432 = 0.\nAnswer: -6447929, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 - (2 + -12 + -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*v + 69 = 0, -5*r + 131 = -722*v + 719*v. What is the remainder when 375 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2 + 4. Let v = 2 + w. Suppose -3*j = -v*t, 5*j - 4*t + 6 = 3*j. Sort j, 13, -2.\nAnswer: -2, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k - 3*k**3 + 2 - 7*k**3 + 4*k + 2*k**3 + 4*k**3 as f*k**3 + n*k**2 + v + w*k and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/27)\/(159\/(-8586)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, -5, -7, 25, -9.\nAnswer: -9, -7, -5, 25, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.46 - -1.3. Let g = -95 + 95.24. Let o = g - x. Which is the closest to 0.1? (a) 0.5 (b) o (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971045 is divided by 1426?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from zrgrgongrrlzrgnzrgo?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:30 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.36 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -5, -22706, 1\/4, 0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2855.94 - 2850. Let u = 0.12 + -6.12. Let r = s + u. Are 2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -198*o - 7. Let u(f) = 99*f + 2. Calculate -2*h(t) - 5*u(t).\nAnswer: -99*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 17. Calculate the smallest common multiple of 7 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = -2*x + 98, j = x - 40. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531 = -3*i - 4*c, -4*c = -6 - 6. Suppose i = 7*q - 9. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c + 3*b - 415 = 34*c, -5*b = c + 391. Let z = c - -709. Calculate the remainder when z is divided by 103.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45 + 39)*(132 + -1). Let h = p + 874. What is the greatest common divisor of h and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 20. Give j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 12. Let b(f) = 10 + 469282*f - 10 - 469280*f - 24. Determine 3*b(o) + 7*r(o).\nAnswer: -o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 9*x + 3*x + 3*x as z + p*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -55.8. Round k to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**3\/2 - 42*y**2 - 119*y + 1. Calculate u(-22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-14)\/(-564)) + 3 - -3. Let t = -229 + 281. Suppose t + v = 4*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5 = -5*i, -4*v = -3*i - 3*v + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1610798 + -1609278.247. Let x = 1411.84 - a. Let g = -108 - x. What is g rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/5 - 46*d**2\/5 + 44*d\/5 = 0?\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + -5 + (11 - -49 - 15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2))\/((-13)\/(-26)). Solve v*y - 5 = -20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334 divided by -563\nAnswer: 334\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 2*c + 15, -2*c - 29 = -5*o. Suppose -o*i = -11*i + 156. Let a = i - 24. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 231*d**3 - 210*d**2 - 5. Let o(y) = -230*y**3 + 210*y**2 + 4. Let a(i) = -5*o(i) - 4*v(i). What is the third derivative of a(q) wrt q?\nAnswer: 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2500 = 4*p, 0 = -5*x + 73*p - 75*p + 3116. Which is smaller: x or 623?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(1\/(66\/258) - 4). Solve -5*k = d + v, 15 = -d - 0*d - 2*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206548.\nAnswer: 2, 51637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -488 + 489. Let j(c) = -c**3 + 0*c + 3*c + 110*c**2 + v - 2 - 105*c**2. Let h(l) = -3*l**3 + 11*l**2 + 7*l - 3. Determine 3*h(a) - 7*j(a).\nAnswer: -2*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -1183\/209?\nAnswer: -1183\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3842 (base 16) to base 3\nAnswer: -201202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 2*b**2 + 2*b - 9. Suppose 28 = -j + 5*z, -5*j = -10*j - 5*z + 10. Determine v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n. Suppose 0 = x + 5 - 4. Sort 1, x, n in descending order.\nAnswer: 1, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1628 - -2?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131\/88 - -15\/11. Let x = -0.38 - 0.02. What is the second biggest value in r, 0.5, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*y - 3*h + 15, 2*y - 26 = -4*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166848 + 62401259\/374. Calculate the common denominator of -95\/2754 and r.\nAnswer: 30294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -356, 2, 0, -34 in decreasing order.\nAnswer: 125, 2, 0, -34, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**3 - 3*b**2 + 3. Let l(m) = 4*m**3 - 2*m**2 + 2. Let x(n) = 4*n - 2. Let z be x(1). Calculate z*j(a) - 3*l(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) -3 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Let w(h) = 5785*h - 60679 + 60679. Determine m(w(b)).\nAnswer: -66932450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67)\/(-5) + 56\/12*-3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 22. Let o be k(0). Let u be (2 - 0)\/(o\/(-44)). Suppose -4*d - 25 - 62 = 3*h, 3*d = -u*h - 109. Is -24 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515400 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 1. Let u(i) = 5*i**2 - 3*i - 3. Let f(d) = -3*o(d) + u(d). Let h = -7 + 9. Let n(z) = -2*z**h - z**2 + 0*z**2. What is f(n(c))?\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 68*t - 7231*t**3 + 39*t + 31*t.\nAnswer: -7231*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21776 - 2738. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 - 0.03. Put -2\/13, -1, b in decreasing order.\nAnswer: b, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5 - 12 + 2*s + 9 to f*s + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12350*r*z**3 + 20*r*z**2 + 551*r*z wrt z.\nAnswer: -74100*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 2*n + 2*n. Let m be (12 - 13)\/((-1)\/3). Suppose k = -m*k + n. Solve 0 = 2*s + p + 11, -3*p = 5*s + k + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185, 184, 183, 182?\n\"Answer: -i + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16231599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*k + 41 + 223, 5*k - 444 = -2*o. What is the smallest common multiple of 18 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kmjjjjmkjjmmmkkjjjj?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - o - 5. Let h be n(5). Suppose -2*s - 5*p = -23, -3*s = p + 11 - 13. Let i = h + s. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y**3 + 2*y**2 + 8*y - 8. Let b(r) = r**3 - r**2 - r + 1. Let n(l) = -4*b(l) - w(l). Let d be 5 + (-5)\/((-25)\/(-10)). Is n(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 31. Suppose -5*c + 335 = -k*d, 3*c + 4*d - 81 - 88 = 0. Let b = c - -426. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3322 and 0.01?\nAnswer: -33.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 < -4226481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000111110000110 (base 2) to base 10.\nAnswer: 135046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/36)\/11*(9405\/190)\/(-99).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8236, 8237, 8238, 8239, 8240?\n\"Answer: k + 8235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34161 + 742.62684.\nAnswer: 742.28523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913822 is divided by 167?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/12 - 19*z**3\/6 - z**2\/2 + 5*z. Let q be w(-18). Suppose -22 = -f + q. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 276989659.\nAnswer: 276989653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -1 - (-16)\/4. Suppose p*u + h - 20 = 6*h, -5*h - 22 = -3*u. Let f be 0 + -1 + (2 - u). Which is greater: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*a**2 + 2*a + a**3 + 2 + 53*a**2 to n*a**2 + y + m*a**3 + u*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r + 15*r**2 - 18 + 31*r - 6*r**2 - 12*r**2.\nAnswer: -(r - 9)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5135 = 2*d + 6122, 2*u - 3*d - 22507 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078705 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*m = -n - 187*m + 63718, 3*m = 5*n - 318608. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(931)*-2)**2 + sqrt(152)\/(sqrt(32)\/sqrt(4)))*4.\nAnswer: 4*sqrt(19) + 14894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.6873 and -0.3?\nAnswer: -1.70619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w - 16 - 42 + 12*w)*((-4*w - w**2 + 4*w)*(-2*w - 3*w + 4*w)*(-4 + 3*w + 4) - 5*w**4 + 2*w**4 + 2*w**4).\nAnswer: 6*w**5 - 116*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bb6db + 2?\nAnswer: -1bb6d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.82 + 0.02. Let f = g + 3.8. Let l = -0.04159 + 0.04159. Which is the second biggest value? (a) f (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -290, -431, -608, -839, -1142, -1535, -2036, -2663?\n\"Answer: -3*w**3 - 120*w - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23890847681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (4 + -10)) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279827 is divided by 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 5. Let x = -14 + p. Suppose 2*v = 4*l + 18, v + 4*l = -4 + 31. Solve 3*f - 5*d + 3 = 0, x*f - v = -3*d + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2 - 30*m + 54. Let p be j(2). Calculate the greatest common factor of 136 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -591431 - -1186084. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from bttytntytnyvvtysnsys.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.124? (a) 1\/8 (b) 2\/5 (c) -5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13099834 + -0.131. Round l to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -175877, -11 in increasing order.\nAnswer: -175877, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1947223 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*b + 44, -i + 2*b - 2 = -0*i. Solve -d - d = i, 4*w + 12 = d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2721488 - -3?\nAnswer: -2721485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012996 rounded to five decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -97 (b) -15 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 4)*(1 - 0). Let i = -1 + a. Which is greater: i or -4\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1044289433 and 2398.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34214 + 34219. Solve 5*z - i*a - 15 = 3*z, -3*z = -3*a - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 + 7476\/840 + -9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 19 = -346*z + 347*z, 0 = 5*a + 4*z - 72 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0, 150, -83, 2 in ascending order.\nAnswer: -83, -3, -2, 0, 2, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3978\/65 + 4\/5*1 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppbbpvsuuvpupbvku. What is prob of sequence bpkb?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54266777 and 2484449.5?\nAnswer: 56751226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206, 1208, 1210, 1212?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 1505*f - 60660 = 0.\nAnswer: -36, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40603967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.34 + -0.74. Let j = 16 - u. Let x = 0.39 + -0.3. Which is the third biggest value? (a) x (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 27*g**2 + 24*g - 14. Give y(-26).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -65*i**3 + 7*i**2 - 7*i - 14. Let j(v) = -32*v**3 + 4*v**2 - 3*v - 8. What is -7*j(h) + 4*w(h)?\nAnswer: -36*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6741313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*((-18)\/(-8) + -3). Let i = a - -22. Suppose 4*g = i + 3. Solve c + 4*c - 4*l + 12 = 0, -g*l + 12 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-139)\/3 - -3)*(-2349)\/(-174)*(-5)\/45.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:10 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**2 - 141*s + 36. Calculate k(-4).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2 - 2\/6. Let m be -5*(48\/(-15) - -4). Which is the closest to w? (a) m (b) -2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18754981547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 138*f**2\/11 + 726*f - 468684\/11.\nAnswer: 6*(f + 94)*(23*f - 831)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3849)\/(-9) + (-12)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-1) - (0\/(-17))\/23.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.5606299559274 and 0.5.\nAnswer: -1.0606299559274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/((-332661)\/(-186))*1.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-1\/3)\/l))*l**(3\/7)\/l)\/(l**0*l)**(-2\/29))\/((((l*l**(-1\/8))\/l)\/l**1)\/(l*l**6*l**(3\/2))) assuming l is positive.\nAnswer: l**(37949\/4872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, -2\/21, 0.5, -868, -3\/7, -5?\nAnswer: -868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(4)*-4)\/(sqrt(100)\/sqrt(2) - sqrt(2)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03729469958 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 372480 to the nearest one thousand.\nAnswer: 372000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 16. What is the units digit of (1 - 0)\/(l\/1) - -86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 1. Suppose 4*h = 4*v, -3*v + 2*h + 4 = 1. Suppose -v*c - 14 = -5*w, 0*w - 3*w = -c - 6. Let j be u(w). Round j to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -8. What is the remainder when p is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1882 - -4?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263?\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 50801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -762 or -763?\nAnswer: -762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 8 + 1)*(0 + 3 - 2 + (-1 - 2 + 2)*(-1 - 1 + 0) + 9 - 7 + 15)*(-b - 16*b - 8*b) to the form z*b + a and give z.\nAnswer: -9000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-21200)\/8 + -9). Let x = 3824 - z. What are the prime factors of x?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113173150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**5\/20 + f**4\/6 + f**3\/6 + f**2\/2 - 6*f. Let c be p(2). What is the biggest value in -2\/7, -7, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.06969 (c) 3\/160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = y + 20, 126*y + 7 = -5*b + 124*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -949*z**2 + 50*z - 1 wrt z.\nAnswer: -1898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 136 + b**3 - 101 - b**4 + 82*b**2 - 96*b**2 as j*b**4 + i*b**3 + v*b + l*b**2 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + q + 40 = 0, 0 = -4*q - 0*q. What is the greatest common divisor of 64 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h. Let a(y) = -16*y + 766191 + 6*y - 766187. Calculate s(a(r)).\nAnswer: 100*r - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {b: 3, x: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 324 = 2*y + 3*p, p + 340 = -4*y. Let b(u) = 178*u - 17. Let m be b(1). Let a = y + m. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) -3 (c) 40\/221 (d) 1 (e) -3\/8 (f) 0.64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 16841.352.\nAnswer: -16841.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16560 - -16682. What is the highest common divisor of r and 12139?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 14, 45, 90, 149, 222, 309?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29399 by 29399.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrccbbbrcrb. What is prob of picking 1 b and 2 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 157534605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 81 + -1 + 0\/(-4) + 0. Suppose 47*l - 256 - 872 = 0. Calculate the highest common divisor of l and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410018703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -0.4 (c) 0.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 - w + 7. Let r be f(5). Suppose 3*s - r*h - 17 = 0, -2*s + h = -4*h - 26. What is the units digit of ((9*-3)\/s)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3335 divided by 23\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -136 in descending order.\nAnswer: -1, -12, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n**3 - n**2 - n**2 + 2*n**2.\nAnswer: -63*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108310*n**3 + n**2 - 12153*n wrt n.\nAnswer: -649860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o = 41*o - 8856. Solve 3*b - 25 = -o*n + 113*n, 5*b - 4*n = 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 28, 63, 122, 211, 336?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9380689 by 53.\nAnswer: 9380689\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2953\/122699 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssegpp. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z + 64*z - 48 = 4*y, -3*y - 31 = -z for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3 + 3)*(-4*p - 2*p + p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 2*x**3\/3 - 2*x**2 - 5*x. Differentiate l(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)\/j)\/j)**16 assuming j is positive.\nAnswer: j**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12546 - -21143. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**5 + 5*y**5 + 2*y**5 + (10*y**3 + 10*y**3 - 5*y**3)*(-3*y - y + 8*y)*(-2*y + 1 - 1).\nAnswer: -118*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1109531, -32, 5, -3.\nAnswer: -1109531, -32, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 = 3*s - 74, 0 = 3*s + 4*a - 100. Solve 3*g + g + 4*d = 0, 4*d = 3*g + s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 32*w - 177. Let n be b(6). Which is smaller: n or 34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 - -2 - -3) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 219.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeiyeryeire. Give prob of sequence yi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a15 + -451?\nAnswer: 85a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5199 + -20709\/4. What is the common denominator of 99\/824 and a?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(1\/3)*f))\/f*f)**(-22)*(f\/((f\/(f**(1\/13)*f))\/f))\/(f**(-2)\/f))**(-30) assuming f is positive.\nAnswer: f**(-4840\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*d + 12 - 48, -q - 3*d - 11 = 0. Suppose 4 = q*u - 0*u. Let n(s) be the first derivative of -4*s**3\/3 + s**2\/2 - s - 4. Give n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*g**2 + 3*g**2 - 11*g**2 to the form c + f*g**2 + q*g and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/60)\/((-3729)\/(-565)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 2*d - 48848*d**2 + 48848*d**2 + 4*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -30, -5*u + u + 292 = -30*b + 132 + 140 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14340 - -21240. Round c to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03687 * 3.2424.\nAnswer: 0.119547288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 32 = 2*z + 6, 0 = -z - 5*c + 2. Let l = 19 - z. Let f = -2 + l. Solve -f = w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2 - 8*o**2 - 4 + 7*o**2. Let u be f(0). Let c(z) = -z**3 - z**2. Let q(k) = k**3 + k**2. Calculate u*c(j) - 4*q(j).\nAnswer: 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 10 = -80. Calculate the lowest common multiple of q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.76 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.46. Suppose b - 4*k + 72 = 0, 0 = -3*b - 2*k - 313 + 55. Let c be (96\/b)\/(0 + 2). What is the third smallest value in c, -1, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:40 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 12. Let j = -9 - t. Suppose 5*a - 20 = j, 22 = 3*m + 2*a + 2*a. Sort -3, 3, m in decreasing order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 2, a: 1, k: 2, f: 4}. What is prob of sequence skk?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286319, 572642, 858967, 1145294, 1431623?\nAnswer: 1717954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19928609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y**2 + 5. Let g(d) = 15*d**2 + 7. Let w(b) = 7*a(b) - 5*g(b). Let t(q) = 2*q. Calculate w(t(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/((-575)\/3933). Which is bigger: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*u + 15 = 0, u = 255*j - 252*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-165)\/(-90) - 2)\/((-2)\/12). Let k = 18 - 9. Which is the nearest to g? (a) -2 (b) k (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 6748 + 124831 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281601323381980 + 0.4.\nAnswer: -281601323381979.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 74. Suppose -39 = -4*q - 2*s + 15, -15 = -2*q - 5*s. Let h = q - u. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:01 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 39*b + 271. Determine v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186868407.\nAnswer: 3, 11, 53, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h = -28*h - 3*u - 19, 5*h + 3*u = -26 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -44322767.\nAnswer: -8864553.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.03 + 0.23. Let j = -1.4 - i. Which is the nearest to -4? (a) -3 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 43227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35810 and 36?\nAnswer: 644580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211 (base 3) to base 2.\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/(-12) + 4)*(72\/(-56) - -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4543993578 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.455762 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27890*b**4 + 2593*b**2*z + 242*b*z + 137*b + 10*z wrt b?\nAnswer: -334680*b**2 + 5186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1938751059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7033864, -7033838, -7033812?\nAnswer: -7033786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - 235*a + 4758. Determine n(-95).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.5 - 28. Let a be (159\/18)\/(1\/2). Let q = a + -18. What is the biggest value in q, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 47240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + g + 6. Let a be o(6). Suppose -123 = -a*n + 297. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -24*q. Let o(f) = f. Let c(y) = 20*o(y) + w(y). Let t(h) = -10*h**2. Calculate t(c(r)).\nAnswer: -160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from aapaapaqpqpaaap.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.611, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5205*l**3 + 32*l + 270406 with respect to l.\nAnswer: -15615*l**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-2 + 3 - 0). Let s(q) = 2*q + 3. Let h(f) be the second derivative of 1\/6*f**3 - 82*f + f**2 + 0. What is v*h(a) + 4*s(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*278\/(-2502)*12?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v + 0*v)*((-3 + 3 - 1)*(-2*v - 2*v + 2*v) + 4 - 3 + 1492*v - 1363*v).\nAnswer: 262*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25920149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3765700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14085?\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*j + 634, -2*p - 3 + 1277 = -2*j. What is the least common multiple of 22 and p?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:54 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18)*-228 + 0\/(-3 + 2 + 0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w + 891 + 909 = -0*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/4 + 542 + 16. Suppose -i - c = -615. Calculate the greatest common divisor of 187 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4787396*f - 4787396*f - 51*f**3 + 18*f**2.\nAnswer: -51*f**3 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4008.5 and 34876.\nAnswer: 30867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*m + 66 - 83 = 0, 5*l - 23 = -2*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 take away 62862761?\nAnswer: -62862739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -3, 1.452?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 10*i - 11*i + 16, -32 = -4*r + i. Suppose 2 = 2*z - r. Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/140 + 23*h**4\/28 + 529*h**3\/14 + 12167*h**2\/14 - 94*h. Factor l(f).\nAnswer: (f + 23)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665797 is divided by 540.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 3*(-17)\/(-21). Which is the closest to 3\/11? (a) h (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:29 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 4 + 3*y + y**2 + 2*y. Let r be o(-4). Let l = 1898 + -30369\/16. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovxvovoxoxov. Give prob of picking 1 o, 1 x, and 1 v.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -15. Let p(l) = 5*l**2 + 8*l + 1. Let b(z) = -z**2 - z. Let q(m) = r*b(m) + p(m). Let d be (-6)\/((1 + (-9)\/6)*3). Determine q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17373 - 17373 + 86*n)*(1135*n - 1135*n - 187*n**4).\nAnswer: -16082*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -4, 5, 28351, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 + l - 3. Let x be q(-3). Solve b + 2 = -x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 0)\/(17\/(-1309)). What are the prime factors of i + (1 - 3)*-1?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 4, 1\/3, -143, -2\/3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3114 and -28\/2454351.\nAnswer: 14726106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -526632 (base 14) to base 3\nAnswer: -12020102102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5092145149 to four decimal places.\nAnswer: 0.5092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 714*w - 719*w + 12 = 0, 0 = -2*j + 3*w - 41 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 12*x + 66. Suppose -k + 4 = -0*p + 4*p, k + 11 = -p. Let y be t(k). Solve -s = 1, -4*s = -y*i + 10 - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/12 - 1)*-18. What is the common denominator of j\/2 + (-143)\/40 and (-18)\/81 - (3925\/720)\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + -22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ba (base 15) in base 12?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 85, 117, 161, 217, 285?\n\"Answer: 6*b**2 + 2*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 308315807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37126000 rounded to the nearest 100000?\nAnswer: -37100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816)\/sqrt(3))**2*-1.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = x + 31, 0*x - 79 = -5*c + 2*x. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -9 - -11 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-18) - ((-1418)\/(-9))\/(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*q + q - 2, -5*z - 28 = 4*q. Let k be q\/(22\/20155) + 0. Let h = -1837 - k. Find the common denominator of -19\/11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31747 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millimeter in micrometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -22*k + 6. Let o be n(-2). Let s = o + -18. Suppose -2*h - 75 + 591 = -4*m, 515 = 2*h - 3*m. Calculate the greatest common factor of s and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, b: 5}. What is prob of sequence bbb?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u - 1. Let h = 24 + -20. Suppose -12 = h*w, 0*w + 3 = -2*j - w. What is q(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1985, 4000, 6071, 8228, 10501, 12920, 15515, 18316?\nAnswer: 21353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(2 - 4\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 865*d - 157477. Calculate t(182).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -34. Let h(n) = -3*n**2 - 90*n - 14. Let g be h(-30). Which is bigger: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 13101.\nAnswer: -4\/13101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13614 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -164956 divided by 1012?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (26939\/(-112101))\/(31\/(-3))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -477000 to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (10 - (-27 - 3))\/2 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-38)*(-10)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/895806 and 9\/424.\nAnswer: 3583224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/4284 and 41\/60.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/48)\/((-3)\/(-1 - 521)). Suppose -j - r = -92. Which is smaller: j or 35?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 62.\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Suppose -2*v - 3*z + 47 = -2*z, 4*v - 2*z - 98 = 0. What is the remainder when l(-5) is divided by (v\/21 + -2)\/((-56)\/196)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(6\/7)*r**(-18)*r)**(-4\/23))**16)**(-7) assuming r is positive.\nAnswer: r**(-7232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/35)*c)\/c)\/c**7 assuming c is positive.\nAnswer: c**(-208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - 0 - 2) + (716 - 733)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(50*h**3 + 8*h**3 + 27*h**3) - 1 + 1 + h**3 as a*h**3 + z*h**2 + n*h + s and give a.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 5, -1.7, -49, -1, -7.22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3\/5, 2\/15, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -40544 + 5301. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26632279 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21100492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b = 27612 - 96734. List the prime factors of b.\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76331 (base 9) to base 4.\nAnswer: -30112030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 294 + -117. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w + 1\/42*w**8 + 3*w**2 - 13\/60*w**5 + 0*w**6 + 0*w**7 + 0 + 0*w**4 + 0*w**3. Find the third derivative of g(x) wrt x.\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.09, 3, -0.2, -4\/51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 19*u**2 + 7*u + 12. Give a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1)*(-3)\/(-6). Suppose 5*h - 2*r - 126 = p, 6*h = h - 5*r + 105. Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 5*t - 1. Let n(h) = 2*h**2 + 6*h - 1. Determine 4*n(u) - 5*o(u).\nAnswer: -7*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10203712 divided by -36704?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*k - 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 57. What is the greatest common divisor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 32580.\nAnswer: 32580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4548831 or -40939490\/9?\nAnswer: -4548831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 = -5. Let h be n\/28 + 61\/7. What is the greatest common divisor of h and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 = 6*u - 374. What is the remainder when u is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 254*x + 3324. Let s be r(-13). Solve -7*w = -1 + s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*u - 5*i - 31 = 103*u, 5*u = -2*i - 46. Let z(l) = -3*l - 8. What is z(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*n + 22, 4*n + 2 = -5*b + n. Let x = 0.13 - 0.182. What is the biggest value in b, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8 - 2) + (33 - (16 - (1 - 10)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102725402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/23 (b) 1\/2 (c) 2\/9 (d) -14 (e) 2119 (f) -119\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -242*c*u**3 - c*u**2 + c*u + 5*u**2 wrt u.\nAnswer: -1452*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Factor 2*j**4 + 0*j**d + j**3 + j**5 + 0*j**4.\nAnswer: j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160443?\nAnswer: 3, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 6:39 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 11*b = -12. Let g be 14\/28 - b\/2 - -49. Suppose -g*m + 51 = -48*m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide ((-40664)\/39 - 5)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 70015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 6 - 116 = -z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -462.3 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*t + 293. Let u(g) be the third derivative of g**6\/120 + g**5\/3 + 3*g**4\/4 - 3*g**3\/2 - 8*g**2. What is the remainder when t is divided by u(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 22 = u, -3168 = 5*u + 5*d - 3188 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (5\/(-8 + 3) - -3). Let w(b) = -9*b**3 - 2*b**2 + 3. Let y(q) = 8*q**3 + 2*q**2 - 4. Determine v*w(a) + 3*y(a).\nAnswer: -12*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 87*r + 359. Give p(22).\nAnswer: 2757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 + 3*x**3 - 2*x + 0*x**3 + 0*x to u*x + b + c*x**2 + g*x**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -0.4 (c) -2.2 (d) 5\/7 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2335*i**2 - 19 + 9.\nAnswer: -2335*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 19 = -g, -4*g - 4*c + 8 = -8. Suppose 23*j - 28 = g*j. Solve 2*b - m - 2*m + 5 = 0, -j*b = 2*m - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 + 464*b - 890. Calculate l(-111).\nAnswer: -3110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:01 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5608\/670)\/(-1) + (-1288)\/43148.\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 510 = -15*t. Let w(p) = p**2 + 27*p + 77. What are the prime factors of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113310 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 (base 5) in base 14?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73265 - 23*d + 34*d - 2*d**3 - 11*d + 36560 + 36705.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526653789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0749189997 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4*s - 1405*d**4 - 63*d**3*s - 541*d**2*s - 13*d*s wrt d?\nAnswer: 24*d*s - 33720*d - 378*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -18801?\nAnswer: 18776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10 + 145*r**3 - 12*r - 292*r**3 + 168*r**5 + 11*r**5 + 147*r**3 wrt r.\nAnswer: 3580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 12 + -18 + -2. Suppose 5*v + 124 + 141 = 0. Let q be v\/(-4)*((-6 - o) + -5). What is q rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2055178)\/(-64344) + 16*-2)\/((-5)\/(-2))\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.92 - -3.78. Let b = o + -5. Let v be (2 - (-3 - 0))*-1. What is the smallest value in v, b, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:12 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.36954247 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*b + 3*d, b = -4*d + 2 - 12. Is ((-3)\/b)\/((-1)\/(-62)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 2580727.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2)\/r)**(-2\/25)\/(r**5*((r\/(r\/((r\/r**(-1\/5))\/r*r)*r*r*r))\/r)\/r) assuming r is positive.\nAnswer: r**(-26\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/3)\/((-5)\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k. Let b(q) = q + 1. Let r be 2\/(-4)*3*(336\/72 + -4). Give r*i(a) + 6*b(a).\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0*n - n)*(0 + 2 - 1)*(373 - 14 + 57)*(5*n - 4*n + n) as a*n**2 + g + w*n and give a.\nAnswer: -2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/294 - 6686\/147. Let p = 615 + -4274\/7. Find the common denominator of z and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (1 + -8 + 4). Suppose -4*y - 4*i + 116 = 0, 39 = r*y + i - 86. Calculate the highest common divisor of 16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 160 = -5*w. Let u be (3\/2)\/(2*(-8)\/w). Solve -2*x = 3*x + u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 44*b + 2. Let j be z(22). Suppose 3*p + 8 = 5*o, 5*p + 5 = -3*o + 3. Put j, 4, o in ascending order.\nAnswer: o, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 134*x**2 + 34*x - 155. Is f(-77) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/224)\/((-6)\/8). Let v = 1\/12 - n. Let w = 18 + -13. Which is the second biggest value? (a) v (b) w (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 + -80. Let w(r) = -r**2 - 13*r + 6. Let c be w(p). Suppose c*d + 0*d = 312. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n. Suppose 2*f = -n*f + 12. Suppose -2*u - f = 0, a - u - 71 = u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzzlgzgzllz. What is prob of picking 2 z?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -442004517*i**5 + 19591607*i - 6 wrt i?\nAnswer: -8840090340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lglj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7 - 4*g - 3*g**2 - 4*g**2 - g - g**3. Suppose -20*k = 12*k - 8*k + 144. Let l be x(k). What is the highest common divisor of 5 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u + 10*u + 3, -u = -5*c + 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -38.1. Which is the nearest to 1? (a) v (b) 2\/3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 - 7*h + 8. Let s be c(6). Suppose 12 + 12 = d - 5*k, -5*d + 5*k + 40 = 0. Calculate the greatest common factor of s and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 10*n + 9. Let k be z(-9). Let s(b) = b + 36. What is the units digit of s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*k - 68 = -44, -6*i - k = 4*k + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.13 (b) -32 (c) 1\/2 (d) -1 (e) 2\/19 (f) -3 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 216\/5*x - 4\/5*x**3 + 0 - 12\/5*x**2 = 0?\nAnswer: -9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51107\/5 - 10221. What is the closest to u in 1, -2\/9, -12, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1983 - 1982 - (-108 - (-2 - 0)) - -10?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02734 to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w + 0 - 6*w**2 - 5*w**3 + 4*w**3 - 1. Let n be l(-5). Let j = n + 8. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 49 = -m - 4*f, 3*m = -5*f - 154. Let p = m + 35. Let s = p + 53. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8964 = -270*m - 504*m + 276*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122454845*j**4 - 218109070*j.\nAnswer: -1469458140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1395*q + 12495. Calculate t(9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -324*i. Let s(t) = 163*t. Calculate -2*h(k) - 5*s(k).\nAnswer: -167*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5*n = -5*l, n = 5*l. Suppose l = -2*x - 6 - 2. Which is the biggest value? (a) -1 (b) x (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 1, z: 1, x: 6, a: 2, l: 7}. What is prob of sequence ycza?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 2981?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166.9 - -154. Let u = 11.9 + a. What is the biggest value in -0.14, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 5*q + 149000. What is q rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 5*m. Let w be c(-5). Differentiate -1 + w + 14*f - 15*f + 6*f with respect to f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27396 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c34 (base 13) to base 8.\nAnswer: 35625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68 - -26.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50751?\nAnswer: 3, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 + -436173.\nAnswer: -436174.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iti when three letters picked without replacement from baltiaki?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -14. Let n = t - 10. Let d = -27 - -107\/4. Which is the third biggest value? (a) d (b) 3\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194722595 a multiple of 5508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u + 40*u = 0. Suppose -3*z - 2*x + 284 = u, -z + 3*z = -5*x + 204. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -976\/7. Let f be 1\/(-2)*(3 + -4). What is the nearest to 0 in i, -2, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2 + z - 2. Let x be q(-3). Let v be (8\/(-20))\/(-2) - x\/(-20). Solve 0 = h + 2, 3 + 4 = 5*f + v*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/15)\/(3\/5). Let d be (1\/2)\/(10\/(-20)). Which is the closest to l? (a) -0.2 (b) 1\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 14*l**3 - 1 + l**3.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41607 is divided by 1913.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -373429 times -5\nAnswer: 1867145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-4))\/(6\/(-24))*2. Let m(t) = -2*t - 9*t + 1 + 0*t. Calculate m(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 20*s + 1. Let k(g) = -395*g - 20. Let x(r) = k(r) + 20*v(r). Let l(j) = 5*j + 2. Let c(b) = 10*b + 5. Let n(w) = 2*c(w) - 5*l(w). Give n(x(h)).\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + m - 7 = 0, -20 + 10 = 4*d - 3*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 11) to base 10.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 317 + 133 = 0. Is 50 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/34 >= 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.11 + 4.53. Let x = t + 8.57. What is x rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/12 - d**3\/2 + 3*d**2\/2 - 2*d. Let i be r(-4). Let y be i*1 + (8 - 6). Solve 5*o - y = 4*w, -w - 6*o + 8 = -4*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 14731.\nAnswer: -294.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -220813*a - 204004*a + 403510*a as i*a + m and give i.\nAnswer: -21307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538842161.\nAnswer: 11, 13, 509, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, 1 w, and 1 f when four letters picked without replacement from {z: 1, q: 4, w: 5, n: 7, v: 1, f: 2}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 3*c**5\/50 - 7*c**4\/30 - 103*c**3\/15 + 7*c**2 + 1206*c. Factor n(l).\nAnswer: 2*(l - 7)*(l + 5)*(3*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1\/4 (b) 9 (c) -0.2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d. Let s(l) be the second derivative of 79*l**3\/6 - l**2 - 54*l. What is s(o(q))?\nAnswer: -948*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14375.05 - -14375. What is the nearest to 3 in -2\/7, 6, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10935\/2 + 65701\/12. Let g be 375\/354 - (-2 - 1)\/(-3). Let m = g + -4321\/236. What is the common denominator of m and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 2*9\/2. Let c(z) = -z**2 - 4*z + 1. Give c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*v - 24 = -2*f, -2*v = 3*f - 36. What is the remainder when 33 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 102 (b) 8 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 178, 312, 476, 670?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 23. Let h be (0 + -10)\/(1\/1). Does 4 divide f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37496544 is divided by 3286?\nAnswer: 3284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -9*u**3 - 3\/2 + 6*u - 3\/2*u**2 = 0.\nAnswer: -1, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.0701 in 0.4, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 3, -1.\nAnswer: -1, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + u - 1. Let g(z) = 13*z**2 + 6*z - 3. Determine g(n) - 4*p(n).\nAnswer: 21*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 12 = 6*r. What is the third smallest value in -1\/5, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51145 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328 + 328 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 0.04929152\nAnswer: -0.54220672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 - (163 + -71) - 147.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/478488 and 79\/1594960.\nAnswer: 4784880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 13*d**2 + 12*d + 6. Let a be c(12). Solve -14 = 4*f + a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let i(t) = 4 + t + t - 5*t + 2*t**2 - u*t. Let l be i(4). Calculate the greatest common factor of 84 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 16.1, -0.01 in ascending order.\nAnswer: -0.01, 0.5, 16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/19 - 7212*t\/19 + 6501618\/19.\nAnswer: 2*(t - 1803)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 20 = 5*w, 0 = 5*u + w + 3*w + 187. Let f = u - -35. Differentiate -5 + f + 15 - 3*d**2 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -441, 0.1, 0.06, 10\/183?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 11*m**2 + 10*m + 5. Let n be v(-10). Find the common denominator of 10\/n + 34\/4 and -91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 60 = 66. Suppose 3*b + 3*s = 108, -4*s - l = -4*b + s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4124474 (base 12) to base 10.\nAnswer: 12241816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11443, 1, -4, -52.\nAnswer: -11443, -52, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpyt when four letters picked without replacement from {p: 1, y: 3, t: 5, o: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 c when four letters picked without replacement from {w: 5, c: 2, y: 13}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l + 3, -3*q = 2*l - 195. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - -19. Suppose -f + 37 = -s. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224543.\nAnswer: 3, 23, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*a + 8*a - 340, -3*a = 0. What are the prime factors of (-2381)\/(-10) + 17\/q?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 84 = 5*v + 2*k, 5*k - 187 = -4*v + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -496 + 555. What is the nearest to 0 in g, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25582455 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.75 + -0.45. Let o = 0.14 - -22.86. Let g = 18 - o. Which is the third biggest value? (a) 4 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3754*o - 7518*o - 9 + 3760*o. Let k(s) = -7*s - 17. What is 11*b(y) - 6*k(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8108207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 0*z + 0*z**2 + 2*z**3 - 4 + 5\/4*z**4. What is the third derivative of t(j) wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2354*m + 19*m**2 - 5*m**2 + 2354*m - 4*m**2 + 2*m**2 - 15*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/11 (b) -0.0136 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okn when three letters picked without replacement from {m: 2, k: 8, o: 9, n: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87493*q**2 - 87535*q**2 - 87495*q**2 + 262518*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + d**3 - 4*d**3)*(6*d + 2*d - d)*(-d - 10*d + 2*d).\nAnswer: 63*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 110*r + 1910. Calculate a(18).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 111 = 3*r, -28 = -5*l + 4*l - 4*r. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 3. Let k(c) = -c + 2. Let h(l) = 5*k(l) - 3*p(l). Let s(m) = 5*m. Determine -2*h(y) + s(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.3, -0.3, -158\/19, -0.4.\nAnswer: -158\/19, -0.4, -0.3, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwjwjjw. Give prob of picking 2 j and 1 w.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - u**3 - u)*(0*u - u + 0*u) + 84*u**4 + 11*u**2 + 1 - 88*u**4 + 2*u**3 + 2*u**2 as q*u**3 + o*u**2 + h*u**4 + p*u + m and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 32. Find the second derivative of 7*i**3 + 5*i**3 + i**3 + 8*i - t*i**3 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15908?\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/3 - a**2 + 2*a - 3. Let u be n(2). Let k(v) = 2*v - u*v + 2*v - 5*v. Let d(l) = -2*l**2. Calculate d(k(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -v + 22, 9780012 - 9780006 = -2*v - 2*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6831, 6825, 6817, 6807?\n\"Answer: -z**2 - 3*z + 6835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1287315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -720, -1458, -2496, -3840?\nAnswer: -5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1381402, 2762814, 4144234, 5525662?\nAnswer: 6907098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16159250061.9 less than 2.7?\nAnswer: 16159250064.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1334 - -614. Let d be (s\/(-6))\/(2\/(-9650)). What is d rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 3*b**2 + 2*b**2)*(26*b**3 - 4*b**3 - 15*b**3) + (3 - 2 + b + 1)*(2*b**4 + 4*b**4 - 3*b**4).\nAnswer: 17*b**5 + 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9054297*t**6 - 2*t**2 - 246656*t wrt t?\nAnswer: -1086515640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11225, -11226, -11227, -11228, -11229?\nAnswer: -11230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12*(-234)\/(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a - -63a?\nAnswer: 6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6053, -6049, -6035, -6005, -5953, -5873, -5759, -5605?\n\"Answer: x**3 - x**2 - 6053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 2*t - 4. Calculate the remainder when 57 is divided by w(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - z**3 - 3*z**3 + (6 - 2 - 5*z**2 + 50*z - 48*z)*(3*z + 3*z - 4*z) to the form t + r*z + v*z**2 + m*z**3 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrorddiora. Give prob of picking 1 o and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {i: 5, h: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 6 + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248.566 rounded to the nearest 10?\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1178)\/70 + (-87)\/(-203))*-140 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-72)*-15 + (-84)\/(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000042177284 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80163*p**2*v**4 + 188*p**2 + 433*v**2 - 35360 wrt v?\nAnswer: -320652*p**2*v**3 + 866*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 403295 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15745330*o**3 - 31490658*o**3 + 15745359*o**3.\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.45 - -0.58. Let x = 0.02 + 0.01. Let m = x - w. Which is smaller: m or -0.02?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 207112.\nAnswer: -207108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u**3 + 0*u**3)*(-2*u + 3*u + u) + u**4 + 2*u**4 + 10*u**4 + (3*u**3 + 0*u**3 - 2*u**3)*(-2*u + 4*u - 4*u).\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -20*c + 18*c. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, -2, 5 in ascending order.\nAnswer: -2, 4.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 123195627.\nAnswer: 123195628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 1. Let w be s(0). Let b(i) be the third derivative of -7*i**5\/60 - i**4\/24 - i**3\/6 + 2*i**2. Determine b(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-2)\/15*(-4)\/((-12)\/(-15))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3\/7 + 92*a**2\/7 - 200132*a\/7 - 200220\/7 = 0. What is a?\nAnswer: -235, -1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2. Let f(z) = 2*z**2 + z. Let a(m) = -3*f(m) - 3*g(m). Let l be a(2). What is the remainder when 20 is divided by l\/(-4)*2 - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-76 - 8) + 19\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 507, 503, 499, 495, 491?\n\"Answer: -4*r + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7 + -4.7. Which is the nearest to 0.1? (a) -0.2 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-3 + 4 - 3) - 2 + 0 + 1)*(-3 - 6 + 8)*(-2*z + 4 - 4).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**7\/280 - v**6\/360 + v**5\/60 - 8*v**3 - 24*v. Let x(l) be the second derivative of m(l). Let x(q) = 0. Calculate q.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 112.958. Let y = 0 + 0. Let v = k - y. What is v rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -218, -226, -246, -284, -346, -438, -566, -736?\n\"Answer: -u**3 - u - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*g, 3*g - g + 10 = -a. Suppose 3*q + q + 8 = a, 4*o - 3078 = 5*q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -80. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -7 - 7) + 1*9. Suppose 146 = r*y + z + 33, 2*z - 10 = 0. Solve 34*j - y*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -7. Suppose v - 4*h = -7*h + 11, 4*v + h = 22. Let f be (-1)\/v + 69\/45. Which is the second smallest value? (a) l (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165373.\nAnswer: 13, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -872.711 to the nearest integer.\nAnswer: -873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*r + 12, 4*a + 182 - 163 = 5*r. Let z(w) = -w**3 + 5*w**2 + 13*w - 8. What is z(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48657 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43167.81376 and -0.5?\nAnswer: 43168.31376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 1. Let n = 391 - 383. Suppose 3*h - 4*l + 17 = 0, 3*h - n*l + 7*l + 20 = 0. Let u(o) = 9*o + 3. Determine h*b(s) - 4*u(s).\nAnswer: -s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -7.\nAnswer: 200\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8626*p - 22871*p + 0.\nAnswer: -31497*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1021021 (base 4) to base 6\nAnswer: -33401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -243, -246, -251, -258?\n\"Answer: -n**2 - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose s*r = -2*r + 4. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5ed47 (base 15) to base 10\nAnswer: -303367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -5 (b) -4\/7 (c) 0.3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*w - 521363, w + 408347 = 5*z - 243343. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42*(-48)\/5544)\/((-4)\/22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 2369*r + 211128. Give p(-86).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 6. List the prime factors of k(9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-421017)\/96 + 14\/28. Let r = -8774 - v. What is the common denominator of r and ((-33)\/(-20))\/((-2)\/(-15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/216 - (-69)\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 814 + -745. Let g(m) = 4*m**2 - m - 3. Calculate the remainder when f is divided by g(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b = 123*b - 2281734 - 1495496. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0.21, 1\/4, 3\/2, -8, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 195. Suppose -5*l - 3*h + 104 = 0, -5*l = 3*h - h - r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9480 and 593664?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n - 2. Calculate the remainder when 10 is divided by b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210221000 (base 3) to base 14\nAnswer: -cdd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*q + 19, 4*n + 37 = -4*q + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 10 - 16)*(19*t + 0*t + 5*t + 6*t).\nAnswer: -1050*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(3) - sqrt(12)\/sqrt(4))**2 - (-4 + -1 + sqrt(3)))*3.\nAnswer: -3*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 33*t**2 - 197*t - 29. Is f(18) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2390645, 2390614, 2390569, 2390516, 2390461, 2390410?\n\"Answer: k**3 - 13*k**2 + k + 2390656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 60*v**2 - 277*v + 10. Let s be y(5). Solve 1\/7*f**2 + 3\/7*f**3 + 0*f + s = 0 for f.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-397\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35010575 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u**(-1\/2)))\/((u*u*u**(-10)*u)\/u*u))\/((u\/u**(-3\/11))\/u*u**(-3\/2)) assuming u is positive.\nAnswer: u**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*(n\/(n\/(n*n\/(((n*n**(-1\/10)*n*n)\/n)\/n))))\/n))\/(n**(2\/11)*n)*(n**2\/n)\/(n*n\/(n\/(n**(-1\/6)\/n*n))))**(-1\/35))**(-44) assuming n is positive.\nAnswer: n**(-76\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1770, -41, 3 in ascending order.\nAnswer: -41, 3, 1770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5819*d**2*u**3 - 382*d**2*u - 3*d - 73*u**3 - 4923*u**2 + 19*u + 1 wrt d?\nAnswer: 11638*d*u**3 - 764*d*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33269.\nAnswer: 17, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 205*w + 207*w - 18, 0 = -3*d - w - 1. Let y(x) = x**2 - 8*x + 8. Let z be y(6). Sort 3, d, 2, z.\nAnswer: z, d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -5166.\nAnswer: 1549.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -6. Let p be (2\/v)\/(6\/4). Let s = 4.4 - -0.6. Which is the smallest value? (a) -4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 0*t**3 + t**3 - t**3 + 592*t.\nAnswer: 2*t**3 + 592*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -482\/509?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -15. Put x, -4, -1 in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6391952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126083880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 25. Suppose -p*g + 348 = 2*j - 1642, -g + 5*j = -371. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 = -x, -4*x = 2*p + x - 23. Let g = -6 - -2. Let j = 4 + 0. Put p, j, g in ascending order.\nAnswer: g, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-2 - -2)\/2. Suppose 4*h + 880 = -i, -2*h - 2*i + 1100 = -7*h. Let u be 50\/8*(-1056)\/h. Solve 17 = y + 3*z, j*y - u = -4*z - 0*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153462.\nAnswer: 2, 3, 25577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8059, -1\/4, 2, 2\/41, 0.03?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126865813549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 459. Suppose 4*v - 19 = r. Suppose -v = -5*q - 4*d, -d + 20 = 2*q + 1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.18 (b) -3\/5 (c) 0.05 (d) -860 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32037639.\nAnswer: 3, 17, 628189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8778 + 18397. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2771)\/(-31785) + (-4)\/26.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 620\/140 - (2 + 2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3*m + 2*g**3*y**3 + g*y + 10*m*y**3 + 224*m*y**2 + 956*m wrt y?\nAnswer: 12*g**3*y + 60*m*y + 448*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.074 - -3.956. Let o = -0.03 + q. Which is the smallest value? (a) 0 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/30*(-1 + -2). Let r(c) = -3*c + 5*c - 5*c - q. What is the units digit of r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 426.5279 to the nearest integer.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/2, -2\/15, -10148, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1634, 1637, 1640, 1643, 1646?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1848 - -4015. Find the first derivative of -2*u - 49*u**3 + 2*u + i - 2318 wrt u.\nAnswer: -147*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -604*c**3 - 1047*c**2 - 5*c - 10. Let s(i) = -902*i**3 - 1571*i**2 - 8*i - 16. Let x(l) = 5*s(l) - 8*v(l). Find the third derivative of x(r) wrt r.\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qww. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 7. Let o be g(-8). Suppose 2*a = 3*y - 41, 2*a + 9 = o. Which is smaller: 14 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-750)\/(-120)*(-21)\/(2205\/(-14)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 38*g**2 - 127 + 244 - 121 - 79*g. Let t(s) = 38*s**2 - 78*s - 3. Let i(r) = -3*j(r) + 4*t(r). Find the second derivative of i(b) wrt b.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 + 195. Let s = 421.3 + f. Let j = -168 + 1178\/7. What is the nearest to -2\/3 in 1\/6, j, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124588559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*((sqrt(216) - 3*sqrt(216))\/sqrt(9))\/sqrt(12) - (-2*(sqrt(20) + sqrt(60)\/sqrt(3)))\/(-6*sqrt(10)*1)).\nAnswer: 3 + 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*m = 2 - 3, -2*z + 5*m = -6 - 37 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4. Let k(m) = 1. Let t(a) = -2*j(a) + 7*k(a). Let v be 6\/14 - 224\/(-49). Let b(y) = 2*y**3 + y + 5. Give v*t(w) + b(w).\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 4935.\nAnswer: 13\/1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4*j + g**4 + 24*g**3*j - g**2*j + 148*g**2 + 2*g*j wrt g.\nAnswer: 48*g*j + 24*g + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 + (-2)\/4*(-53 + 61). What is the fourth smallest value in g, -1\/9, -2, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51572 - -361874\/7. Let o = y + -124. Which is the nearest to o? (a) 2\/11 (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 72*r**2 - 213*r.\nAnswer: -r*(r - 213)*(r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2305537, 4611067, 6916597, 9222127?\nAnswer: 11527657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 58. What is the second derivative of -5*t - 7*t - 18*t**3 - o*t wrt t?\nAnswer: -108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16928344300.00000079 + -16928344187. Let c = w + -113. What is c rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 3. Suppose -5*c + 2*c = -6. Let s(x) = x + 1. What is c*s(m) - b(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -q - 3, 1 = b - 1. Suppose -q*o + 17 = -4. Suppose -o*x - 80 = -5*r, x - 2*x = 4*r - 47. Solve 0 = m - 5*a - r, -m - 1 = a + a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10592 + 4417 + 2*k - k + k - k**2.\nAnswer: -k**2 + 2*k + 15009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 66.8 - 8812090\nAnswer: -8812023.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 396621526 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, v: 4}. Give prob of picking 2 v and 1 d.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -73. What are the prime factors of (-12 + (-1 - -1))*(-25)\/f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 61246*y**2\/3 + 78142240*y\/3 + 13025408\/3.\nAnswer: 2*(y - 2552)**2*(6*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005240506 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*-2*sqrt(119))\/(sqrt(14)\/(sqrt(6)\/sqrt(3))*3).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263367738 divided by 586.\nAnswer: 449433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/5, 0.1, 1\/5, 15, 70 in decreasing order.\nAnswer: 70, 15, 1\/5, 0.1, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 317400 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - y. Let m be 15 - 11 - (-1 + -1). Suppose -4*g + 2*g - m = -x, 4*g = 3*x - 10. Determine b(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/(-34)*(-1 + 37). Let m be (0 + 12\/(-9))\/(12\/s). Put -5, -2, 0, m in increasing order.\nAnswer: -5, -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*h**2 - 2 + 8*h**3 + 9 to g*h**3 + w + d*h + j*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13574, 36290, 59006, 81722, 104438?\nAnswer: 127154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 19370 = -52*y - 19560 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/75) + -1. Let x(k) = k**3 - 51*k - 88. Let l be x(-5). What is the highest common factor of r and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*n - 3*l, -1874*l - 5 = -n - 1875*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 10) to base 14.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108110129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1*(sqrt(112) - 1*sqrt(112))**2)*2*5.\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 5:40 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 101.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - 2*l - 78*l**3 + 77279 - 77279 + (-1 + l + 1)*(0*l**4 + 2*l**4 - 3*l**4).\nAnswer: -3*l**5 - 78*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -17. Suppose 2*y + f + 2 = -2*f, -3*y - 3*f = 3. Let l = r + y. Solve -5*d + 2*a = -l*d - 9, -a + 12 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 79*g**2 - 29*g + 57. What is the remainder when 1010 is divided by n(2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125*((-493)\/17)\/(-145)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 970*n**3\/3 - 438*n**2 - 580. Find the second derivative of c(d) wrt d.\nAnswer: 1940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2958 - -2957.99998221. Round u to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489813?\nAnswer: 3, 43, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*k - 2 - 579*k**3 + 581*k**3)*(4*k + 2 + 0 - 3*k) to the form h*k**4 + b*k + p*k**3 + w + m*k**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4457112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 110*z + 895. What is g(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 9 + 3)*(a - 14*a + 0*a) - 4*a + 4*a + a to l*a + t and give l.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5166?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/504 and (-15)\/294*((-262)\/(-24) + -8).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11092.\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(3\/14))*r*r**(1\/31))**(-32) assuming r is positive.\nAnswer: r**(-8656\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276523, -2212471, -7467281, -17700385, -34571215, -59739203?\nAnswer: -94863781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.012 + 36.012. Let p = 4246 - 4275. Let d = p + g. What is the nearest to -0.1 in 2, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (612\/476)\/((6\/7)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235053845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10671.12ms in seconds?\nAnswer: 10.67112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1518005 and -0.94.\nAnswer: 1518004.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184993 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59230407?\nAnswer: 3, 787, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 92, 93?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2224.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t - 6599*t**2 + t - 3*t. Let i be f(-10). What is i rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*6*50\/(-60)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**6 - 3 - 50*m**5 + 1732*m**2 - 2000*m**2 + 2 - 171*m**5 wrt m.\nAnswer: 240*m**3 - 13260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 - 190. Let n(l) = l + 18. Let p(a) = 13*a + 1. Let z be p(-1). Let x be n(z). What is the second biggest value in b, x, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496 and 496.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/3 + 235965062*w - 41759632863497883 = 0.\nAnswer: 353947593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86415.25 milliseconds to microseconds.\nAnswer: 86415250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-20)\/70*(-1)\/((-60)\/21)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luxulxblxxlulxx. What is prob of picking 2 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 890973253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 13. Suppose g = -5*p + 4*z, 0 = -3*z + 7 - 1. Suppose 4*u + p*u - 204 = 4*n, -2*u = n - 108. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 1. Let n = -1 + 2. Let j be x(n). Let f = 8 - 8.1. What is the closest to 1\/2 in -2\/9, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(162)) - (sqrt(162) + 2*sqrt(162))*5) + (0 + sqrt(2) + -2)*-3*-1 + 2)**2.\nAnswer: 1272*sqrt(2) + 50578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -612, -610?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose 4*p = 83 - 71. Suppose m = -0*r - r - p. Sort r, 1, 4 in increasing order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1439 - u - 573 - 862.\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 97 in increasing order.\nAnswer: -1, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*a - 2208 + 433 = 879*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let c(a) = -9*a - 12. Let t(s) = c(s) - 5*y(s). Let v be t(-2). Suppose v*j = 17*j + 168. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 25*d - 2298. Does 4 divide f(-85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*a**2*m**2 - 4*a*m**3*w - a*m**2*w - 6*m**3*w - 43*m**2*w wrt a?\nAnswer: -14*a*m**2 - 4*m**3*w - m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -5*g + 60. Let x = 11 - 3. Calculate the remainder when x is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89088 + -725265406\/8141. Let g = y - -594269\/97692. Find the common denominator of g and -115\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -369 - -4435\/12. Let h = 34772 - 82096694\/2361. Let b = h + -162865\/51942. Find the common denominator of m and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(19)*-6 + sqrt(2736) + -3 + sqrt(2736))**2.\nAnswer: -252*sqrt(19) + 33525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**11*a**(2\/47))\/(a**(-10)*a*a*a**12*a*a))**6 assuming a is positive.\nAnswer: a**(1422\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1957\/6 - 326. Let z = -0.02 - 0.08. Let a be ((-18)\/(-9))\/((-14)\/4). What is the third smallest value in z, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:10 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 199191 (base 12) to base 11\nAnswer: 289048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -10 + 12 - -1. Solve 2*b - 4 = 0, r*f + 5*b = 20 + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284*o - 1234*o + 3852*o - 18 - 1158*o.\nAnswer: 176*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*u - 24, 4*u = -3*b + 27 + 6. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 19. Let j = 6 + 3. Let s be b(j). Is 15 + (0 + (1 - 1))\/s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1423745 - 17?\nAnswer: 1423726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -884?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264440 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 2*r + 5*z, -29208*z = r - 29801*z + 2961 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/368 or 0?\nAnswer: 3\/368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 3)\/(-1) - 38. Let x be (d\/15)\/((-4)\/6). Is (-2526)\/(-12) - (-2)\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 = -20*z - 179. Calculate the remainder when 3819 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110000111 + 110110?\nAnswer: -10000101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ac1 - 11?\nAnswer: ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 202680*s. Let o(r) = -46*r. What is o(k(j))?\nAnswer: -9323280*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -40, -3\/4, 1\/13, 7\/2, -2\/19, -10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 11. Let a be y(-8). Let b = a - -1. What is the second derivative of -17*t - 3*t**2 - 2*t**2 + b*t wrt t?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -25*q + 953. Let m be f(38). Solve -1 + m = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 57737816866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -354 - -527. Let c = 230 - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99.37 - -11.1561.\nAnswer: -88.2139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 412 - 217. Let d = l - 99. What is the highest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -29*i + 20. Is -27\/7 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*c - 16, -2*h - 3*c + 28 = -7*c. Suppose 3*t - 11 = h. Let g(k) = 2*k + 3. What are the prime factors of g(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*d + 17 = 0, -2*d - 2 = -4*x + 8. Let c = 2 + x. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1332*j**2 + 17*j + 3. Let w be v(-2). Suppose -w = -8*o + 1479. What are the prime factors of o?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 1\/6*x**3 - 5*x + 0 - 1\/2*x**2. Let s(h) = -h + 1. Determine o(z) + 3*s(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977 + 959 = -6*u, 25*z - 144 = 2*u + 75 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346169, -346178, -346189, -346202, -346217?\nAnswer: -346234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18740.7042 rounded to the nearest 100?\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 11, e: 1, v: 6, b: 1}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + 13901 - 55140. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a + m = 64*a + 2*m + 29, -5*m = -3*a + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.04 + -187.04. Let v = 183.159 + j. Let o = -0.059 + v. Which is the nearest to -2? (a) 4 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 13*i**6\/30 + 17*i**4\/12 + 85*i**3\/6 - i**2\/2 - 24*i. Find the second derivative of b(s) wrt s.\nAnswer: 156*s**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110011 (base 2) in base 11?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 36*f = -2*f. Solve 26*v - 36*v - 60 = f for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-18)\/(-8)). Let m = -4.1 + 0.1. What is the nearest to 1 in 4, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 87. Let q = z - -26. Let f(x) = -11*x - 3. Let r(d) = -d + 7*d - d + 2 - 1. What is q*f(g) + 7*r(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 + -5) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 8*h**2 + 15*h**2 + 13*h**3.\nAnswer: 11*h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.99, -0.4, -1\/11, 3\/8, 73, 5?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -25, -63, -125, -217, -345, -515, -733?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 19 + 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = x + 17, -3 = -x + 3*c - 17. Let u(o) be the second derivative of o**4\/6 - 5*o**3\/6 - 5*o**2\/2 - 8*o. Does 35 divide u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -54, -120, -212, -330, -474, -644?\n\"Answer: -13*t**2 - t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 1. Let h(f) = -5*f - 4. Let j(l) = -h(l) + 4*t(l). Let r(c) = 23*c. Determine r(j(x)).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 20*b + 17. Let u(p) = -p**2 + 4*p + 4. Let a be u(4). Let x(m) be the second derivative of 7*m**3\/6 + 3*m**2 + 67*m. Give a*g(w) - 11*x(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/11076967 and -7\/253671.\nAnswer: 33230901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/((2*sqrt(25))\/sqrt(5))*-3)\/(sqrt(27)\/(sqrt(3)*-1) - -5*-1*sqrt(9)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058494 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4497 times -10531\nAnswer: 47357907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 - 11755*s + 233100 = 0.\nAnswer: 20, 2331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 746\/1251 + -52\/139. Suppose 7*q - q = 5*q. Factor 0*c**2 + a*c**5 + 0*c + q + 0*c**4 - 2\/9*c**3.\nAnswer: 2*c**3*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 7*w**5\/30 - 121*w**2\/2 - 149*w. Let r(i) be the first derivative of m(i). Let k(g) = -g - 2*g + 2*g. What is k(r(c))?\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 8*u + 4*r + 15, -4*u - 2*r - 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48 + (0 - (-1)\/(-1)). Let l be (-1 - 10)*(r + -5). Calculate the common denominator of (-8)\/(-28) + 531\/l and 45\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 229067 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87270*c**2 + 908*c?\nAnswer: 174540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 8*j - 412554*j**2 - 2*j + 412559*j**2 + 20.\nAnswer: 5*j**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7114 < 50\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Find the second derivative of -d - w*d + 0*d**3 - 2*d**3 wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, -145544, 0 in descending order.\nAnswer: 1\/34, 0, -145544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19) + sqrt(19) + -3 - (sqrt(19) + 1 + (1 + sqrt(19))**2)) + 0)*4.\nAnswer: -96 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = r. Solve -5*g - 16 = 2*s, -r*s = 3*g + s + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = -3*b - 29, -5*b = 20. Suppose -n = -3*n - 3*x + 11, x = 1. Suppose n*k + 93 = 3*m - 38, c = 5*k. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1036*j - 4148. Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v + 1)*(5*v**3 - 3*v**3 - v**3) + v**4 + 0*v**4 + 0*v**4 - v**4 + 2*v**4 - 3*v**4 - 9*v**4 + 8*v**2 - 8*v**2.\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6926 is divided by 198?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:37 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7100 + 3723?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 16*w**2 + w - 14. Let q be f(16). Factor -5\/7*s + 1\/7*s**3 - 4\/7*s**q + 0.\nAnswer: s*(s - 5)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 9*n + 16. Let l be 2*59\/(1\/(5\/2)). Suppose 5*a = -5*s + l, -3*s + s = 4*a - 110. Calculate the remainder when s is divided by w(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + m**2 - m + 12. Let n be (1\/(1\/(-1)))\/(-1). Calculate d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125729558.\nAnswer: 2, 29, 137, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -430\/31 at most -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czmmmccmmccccccccm. Give prob of picking 1 c and 1 m.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3720 in -2\/7, -32, 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2 - (-2)\/(-4). Let c(w) = -w**2 - 2. Let o(a) = 5*a**2 + a + 11. Give y*o(p) - 11*c(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 17*b**2 + 19*b + 1. Let c be o(16). Suppose j - 2*k = 14, 0 = -555*k + 551*k + 28. What is the greatest common divisor of c and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (-1 - 7)) + 9 - (4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**5 + 12*u + 0*u**2 + 1\/7*u**8 + 0*u**6 + 1\/12*u**4 + 0 + 0*u**3 + 0*u**7. Find the third derivative of w(y) wrt y.\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000591878 to five decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 449057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 829.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -4 (c) 0.1 (d) 9\/10 (e) 1 (f) 0.0578 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-280)*(-2)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 254377547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 + 4*j - 1. Give n(-5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 9. Suppose 4*a - 2 = 2*w - 0, -a = 4*w + 4. Let x be (-198)\/(-88)*w*4\/(-3). Let b be m(x). Solve 4*u + 16 = -3*i, u - b = -i - 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/14 and -61\/576.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 19*l = -2*o + 4, -5*o - 7 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 20. Suppose k*o - 24 = -5*r - 56, 4*o = -r - 16. Let g = 10 + r. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1000) + sqrt(1000))*4)\/(sqrt(288)*-1 + sqrt(22)\/(sqrt(11)*2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -436, -859, -1286, -1717, -2152, -2591, -3034?\n\"Answer: -2*s**2 - 417*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.8 + -10. Let y(a) be the third derivative of a**6\/120 - a**5\/6 - a**4\/2 + 3*a**3\/2 - a**2. Let n be y(11). Put 2\/7, u, n in descending order.\nAnswer: 2\/7, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - -6. Differentiate 10 + 23*m + 9*m - q*m wrt m.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + (6 - 7))*1. Let j = -1.6 + 3.4. Let r = 2 - j. What is the closest to 1 in p, r, 0.02?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 111*j + 1893. Determine o(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**2 - o + 9. Let x(l) = -6*l**2 - 8. Let u(c) = 5*m(c) + 6*x(c). Calculate u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:32 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*m = 2*o + 503*m - 45, -5*m - 39 = -2*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -369, -368, -369, -372, -377, -384, -393?\n\"Answer: -x**2 + 4*x - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**3 - 500*m**2 + 6412*m - 21756 = 0?\nAnswer: 7, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7435, 6\/5, -0.14, -2\/27?\nAnswer: -7435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - m = 2*m - 19, 5*o + 5*m - 5 = 0. Let k be o\/17 + (-86330)\/(-34). Suppose -3*y + 5*f = -5842, 0 = -3*y - 2*f + 3310 + k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 197*x + 5123. Determine s(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*w - 57, -105*m - 23 = -106*m - 3*w for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 13) to base 11\nAnswer: 172a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, c: 7}. What is prob of picking 1 o and 2 c?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*z - 74*z = -3*y + 18, 2*y = z + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 232*z**5\/7 + 1782*z**4\/7 + 4052*z**3\/7 + 2264*z**2\/7 - 1104*z\/7 + 64\/7 = 0.\nAnswer: -4, -2, 2\/29, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -0.3, -1\/27, -52.\nAnswer: -52, -0.3, -1\/27, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161*k*p**3 - 2244377*k + 4538*p**3 with respect to p.\nAnswer: -483*k*p**2 + 13614*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4\/4 + 2*i**3\/3 - 7*i**2\/2 - 4*i + 6340. Calculate c(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t - t - t)*(6 + 0 - 4)*(35*t - 134 + 134) in the form r*t + x + n*t**2 and give n.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -733 (b) 6\/19 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 29*p**3 + 3*p**2 - 4*p. Let t(q) = 28*q**3 + 4*q**2 - 5*q. Let k(n) = 5*s(n) - 4*t(n). Is 4 a factor of k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + 14410*n - 4.\nAnswer: 14410*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 354633625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3 - (-5)\/60*17.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1083 and 5586.\nAnswer: 106134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = h, -h = -2*h - 4*a + 25. Suppose 0 = 6*u - u - h. What are the prime factors of (u\/(-2))\/(1\/(-20))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 1500*n**2 - 7695*n - 21350.\nAnswer: 5*(n - 7)*(n + 2)*(n + 305)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312381.\nAnswer: 3, 61, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 641*t - 82. Is m(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - v - 1 = 0, -2*v - 12 = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 429*v + 8. Let j(p) = -p**2 - 431*p + 4. Determine 2*g(u) - 3*j(u).\nAnswer: -u**2 + 435*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 86. Suppose 291 = 10*t + o. Is 26 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2. Let j(k) = 28244247*k. Determine j(y(g)).\nAnswer: 338930964*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2884)\/714 - 4\/(-1). Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9290296 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312542768.\nAnswer: 2, 23, 849301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 47*t + 570. Suppose 0 = y - 4*y + 201. What is the remainder when y is divided by r(-23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*v**3 + 8*v*z - v - 3*z + 9 with respect to v.\nAnswer: -36*v**2 + 8*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/1)\/(-2) - -3. Let i(o) be the first derivative of 0*o**3 + 0*o**3 - o**3 - 8*o**c + 3 + 6*o**2. Find the second derivative of i(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -18049\nAnswer: 5414.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, -10, -54, -116?\n\"Answer: -9*j**2 + j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2345300 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a (base 12) in base 14?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31995 is divided by 145?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14.3. What is the second biggest value in -0.1, -3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p**4 - 3*p**4 + 4*p**4)*(-18 + 36*p + 18) + 1 + 2*p**5 - 1 + (4*p**4 - 4*p**4 + 2*p**4)*(4*p - 3*p + 0*p))*(3 + 4 - 5)*(-5 - 4 + 5).\nAnswer: -608*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -3, -130 in increasing order.\nAnswer: -130, -3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -953.384 to the nearest 10.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13642629*l**3 - 34606*l**2 + 17303*l. Let m(w) = -1577*w**3 + 4*w**2 - 2*w. Calculate -17303*m(n) - 2*x(n).\nAnswer: 1573*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 17. Let s be x(-11). Suppose -s*f - 2 = -2*c - 22, -5*c = -5*f + 20. Let o = 134 + -130. Solve q + w - f = 0, -3*w = o*q + q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/646504 and -41\/9284.\nAnswer: 7111544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, q: 1, s: 3}. Give prob of picking 2 s.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135977\/105 + -3887\/3. Let z = 1\/21 + x. Let g = 2620 + -20921\/8. What is the common denominator of z and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 150*x**2 - 292*x + 593. Let i be n(-148). Solve -3*p + 4*w - i = 0, 19*p - 2*w + 1 = 18*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m - 1. Let l be z(2). Let f = l - -3. Let p = -25 - f. Put 1, p, 13 in descending order.\nAnswer: 13, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 29517539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6*a + 348. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -148922854553221 and 0.03.\nAnswer: -148922854553220.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1712*c**2*i**3 + 10346*c**2 - 10*c*i**3 - 13282720*c wrt c?\nAnswer: 3424*i**3 + 20692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 16. Let h be g(0). Suppose 0 = -2*y - 2*y - h. Calculate the remainder when (-6)\/(-4) + (-30)\/y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.6 - 1.4. Let t = r - -8.7. Which is the closest to 2? (a) t (b) 2\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2041326 to 4 dps.\nAnswer: 0.2041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 6 + 14790989*n**3 - 14790991*n**3 + 3*n.\nAnswer: -2*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 0. Suppose -m = 3*c + 14. Let v(j) = j**3 + 6*j**2 - 6*j + 3. Let s be v(c). Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -2496006\nAnswer: -11\/2496006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fef when three letters picked without replacement from {e: 3, c: 2, a: 2, f: 7, s: 1, d: 5}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1239*j**2 - 327*j wrt j.\nAnswer: -2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003184139 to 4 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161 (base 7) to base 13.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-18)\/20)*72\/(-60). Solve -s*b + b + 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 617, 928, 1241, 1556, 1873, 2192?\nAnswer: 2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208499 + -4794573\/23. Let w = 50951\/1380 - t. Find the common denominator of 1\/3 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34964 - -34964. Solve -3*u - 12 = y, -30 = 4*c + u - 46 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8793935432.\nAnswer: 2, 167, 6582287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*a + 14, 0*s + 2*s = 3*a + 1. Suppose 5*g + x = -a*x + 19, -x = 2*g - 7. Suppose -g*y = -19 - 8. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 104. Let l be 147\/63 + (s\/3 - 0). Solve 0 = l*b + b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/18 + 10*q**3\/9 - 25*q**2\/3 - 16*q + 25. Let l(a) be the first derivative of i(a). Factor l(x).\nAnswer: -2*(x - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 1.52, 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 21*f**2 - 22*f - 36. Let i be d(-20). Which is the closest to 0? (a) 6 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 - 16*y - 1. What is x(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l**4 + l**4 + 0*l**4)*(-3 + 3 - 2) - 57*l**4 + 391*l**4 + 532*l**4)*(2*l - l - 2*l).\nAnswer: -862*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9126.69 rounded to the nearest 100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5879*m - 199888. Calculate y(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 + 5*j + 1. Calculate s(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 9*v + 16. Let p be c(7). Suppose 4*h = -h + 20. Suppose -h*f - 6*s - 8 = -2*s, -3*f - 5*s = 16. Solve p*a - 9 = -f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 1 l when three letters picked without replacement from mtlmejve.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -8 + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 2*c**2 - 33*c + 2. Give j(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)\/((-23)\/(-161)). What is the greatest common divisor of 77 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g**2 + 68*g + 55. Calculate i(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360504607?\nAnswer: 83, 4343429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -363*k**3 + 369*k**3 - 52*k - 17*k + 15*k - 58*k as b*k**3 + r*k + j*k**2 + x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -15. Let c = 3.95 - -0.05. Let b = c - n. Which is greater: b or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 - -5. Let v = m + -0.2. Let h = 9 + -8.6. Which is the nearest to -0.1? (a) v (b) h (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (0 + -88) - 73.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2 - (-33)\/18). Which is smaller: 8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -14, -2, 10, 8 in increasing order.\nAnswer: -14, -4, -2, 1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcczzzzizzzzczi. What is prob of sequence zzc?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 4*k**2 + 8*k + 2. Determine b(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/18 + (-2756)\/(-477). Let y(c) = -c**3 + 2*c**2 + 2*c - 1. Let n be y(2). What is the second derivative of -r + 7*r**3 - u*r**3 + n*r**3 wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20201102112?\nAnswer: -20201102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 10*l**2 + 5*l - 27. Let o be g(-9). Let u(r) = 8 + r + 11*r - 11*r. Is u(o) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65293905401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/50768655 and -32\/1911.\nAnswer: 659992515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111111 (base 2) to base 14.\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 - 130.2. Let z = 0 + p. Which is the closest to z? (a) -2 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwwewujcwlccuu. What is prob of sequence eww?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 15 = -71. Let k be d\/(-16)*2 + -2. Let v(x) = -7*x**2 - 6*x. Let h(w) = 4*w**2 + 3*w. Determine k*v(p) - 5*h(p).\nAnswer: p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 95\/859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 351.71 + 5.29. Let l = g + -355.23. What is l rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*r**3 + 46436106*a - 53520750*r**3 wrt a.\nAnswer: -r**3 + 46436106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -836 (c) 4 (d) 3\/5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, -2, 7\/4, -3, -0.7, -2\/5 in ascending order.\nAnswer: -3, -2, -9\/7, -0.7, -2\/5, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*l + 36 = 2*l, 0 = -4*c - 2*l + 42. What is the smallest common multiple of (-8)\/(-24) - (-10)\/6 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 - (-33 - -27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -15, -6, 6 in increasing order.\nAnswer: -15, -6, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 29*u + 48 = 0. Calculate u.\nAnswer: -3\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6131, -12308, -18485, -24662, -30839, -37016?\n\"Answer: -6177*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((344\/(-301))\/(6\/28)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12002122121 (base 3) in base 8?\nAnswer: -303774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*x - 9490 = 0, 0 = 3*c + x - 6*x - 14238. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*(-200)\/480?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Solve q*p - 14 = 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6691600 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 44338462.121029.\nAnswer: -44338462.621029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 337253 and 7.61.\nAnswer: 337260.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r. Let y(a) = -134087*a**2. Determine b(y(w)).\nAnswer: 670435*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 20*f + 11. Let y be x(20). Suppose 11 = 2*k + 2*b - y, 0 = 3*k + b - 23. Solve -2*c = h + 9, 0 = k*h - h - 4*c - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-80)*(-4)\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1184602804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-317)\/(-7) - (-4)\/(-14). Suppose -6*m + m + x = 0. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 1\/(2\/(-2)). Let z = 544081 - 544075. Solve h = -k + 5*n - 0*n + 10, -3*n = -k + z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51, 50, 51, 54?\n\"Answer: s**2 - 4*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:58 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*l + 41 = -2*p, -107 = 4*p + l. Let t be -15*(p\/(-10) + -3). Let f = t + -9. Let d(u) = u**3 + u**2 - 3*u - 3. Calculate d(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 3035421.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(0 + 0 - 2)*(-91*o + 4*o**3 + 91*o) + (2*o + 2*o - o)*(0*o**2 - 2*o**2 + 0*o**2))*(-2 - 2 + 2).\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*y + 6424, 144*y = 5*c + 139*y - 8035. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 30 = -0*d. Suppose 4*x = -3*x - 112. Which is smaller: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 5*m + 3. Let o(z) be the third derivative of -z**4\/6 - 3*z**2. Let s be o(-1). List the prime factors of h(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(99)\/sqrt(3))\/sqrt(3) - sqrt(77)\/(3*sqrt(7)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(650\/(-50))*((-10)\/5)\/(-430).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -18.2. Let u = j - -35.48. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*q + 201*q + 249*q + 202*q + 199*q + 202*q - 1248*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9947)\/(-539) - (-6)\/(-5)*185\/(-407).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q. Let c(r) = r. What is 21*c(k) + 6*x(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*t + 16853*t**3 + 414*t.\nAnswer: 16853*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1670917 + 1670917 - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = i - y, -i + 2*y = 5. Let r = 249 - 246. Sort 4, r, i, 1 in ascending order.\nAnswer: i, 1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 16*m + 2. Let o(z) = 4*z**2 + 2*z + 22. Let y(p) = -3*p**2 - 4*p - 15. Let u(s) = -2*o(s) - 3*y(s). Give 3*n(d) - 5*u(d).\nAnswer: -2*d**2 + 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*s**3 + 96*s**2 + 111*s + 30 = 0. What is s?\nAnswer: -5, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 6*h - 5. Let u(a) = 4*a**2 - 13*a + 11. Let q(w) = 13*c(w) + 6*u(w). What is q(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -894707?\nAnswer: -4\/894707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 118, 211, 344, 517, 730?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3349326 rounded to the nearest ten thousand?\nAnswer: -3350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14171.00000103712 + 14171. What is n rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -31, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158146 is divided by 3192?\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3842 + 45*d**2 + 149*d**3 + 73*d**2 + 3842 wrt d?\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = x - 2*r, 3*x = -5*r + 25. Solve x*y + 5 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178*0.02\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.81866 - -0.3\nAnswer: -5.51866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3021844?\nAnswer: 2, 7, 107923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 3:46 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by -581251\nAnswer: -155\/581251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-2)\/(-140))\/((-2)\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3969, 16257, 36737, 65409, 102273, 147329?\nAnswer: 200577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/104)\/(((-15)\/(-6))\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7023*a*f**3 + 3*a - 320*f**3 + 8*f - 1873 wrt f?\nAnswer: -42138*a*f - 1920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -15 + -1 + 2 + -23?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8749? (a) 5 (b) 3 (c) -1 (d) 2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 405, 425, 465, 531, 629, 765?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458164151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.9 + 74. Suppose 4*o - 6 = 10. Which is the closest to -1? (a) 0.4 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12497 - 5?\nAnswer: 12492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-136)\/(-102)*(-654)\/(-8). Let a = 117 - w. What is the smallest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and 25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 2, y: 1, m: 1}. What is prob of picking 2 p and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(272) - sqrt(17)))**2*3.\nAnswer: -54*sqrt(17) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = 2*f - 5*f. Let a be f\/(-6) - (5 - 2). Let o be ((-7)\/(a\/(-6)))\/(-2). Is o at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 115*g**2 - 65*g**2 - 69*g**2 + g. Let p(n) = 5*n**2 - 42. Calculate p(f(m)).\nAnswer: 1805*m**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*-2*sqrt(108))\/(sqrt(294) - sqrt(294)*-3) + 1)**2.\nAnswer: 15*sqrt(2)\/7 + 617\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2001, -1991, -1971, -1941, -1901?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 60032 + 5386 = -2*g, -2*g = 5*o - 68310. Is 61 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 30. Let g be r(17). Let q be (0 + 4)\/((-10)\/(-3)). Determine l, given that 0 - 6\/5*l**3 + 0*l - 4\/5*l**g + 4\/5*l**2 + q*l**5 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 217\/6. Let j = -81\/748 + -5\/68. Let d = -0.0399 + -3.9601. What is the nearest to j in 5, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqqqxqxqqqkmkkxqx. Give prob of sequence mxq.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*c**5 - 119228*c**4 - 257180*c**3 + 321276*c**2 + 55080*c = 0. What is c?\nAnswer: -3, -2\/13, 0, 1, 2295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**4 - 687*b**3 - 672*b**2 + 2748*b + 2736 = 0.\nAnswer: -228, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Solve 4*k - y - 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 77403519?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 1. Let p = 36 - -27. Let r = -67 + p. Let k(q) = 2*q + 8. Let x be k(r). What is j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 157 = -4*t + o, -5*t - 5*o - 400 = 0. Let r = -56 - t. Suppose 0 = 4*j - r - 37. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a1 (base 16) to base 3\nAnswer: -1021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.33216 + 92.33449. Let m = f + -84. Round m to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 35. Let j be ((-1)\/(-8))\/(n\/(-4)). Which is the biggest value? (a) j (b) -2 (c) 0.06 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.141 + -2.339. Let r = 0.52 - x. Put 0, 2\/15, r in decreasing order.\nAnswer: r, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r*r\/(r**(-2\/11)\/r)*r\/(r\/((r\/(r**17\/r))\/r))*r**(2\/7)*r assuming r is positive.\nAnswer: r**(-1427\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132020 and 37720.\nAnswer: 264040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (-32)\/12*(-15)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x - 35 = -17*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226558, 452877, 679196, 905515?\nAnswer: 1131834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 4. Suppose 5*b - 4*b = -8. Let g be k(b). Suppose -g*m - m = -20. Solve 0 = y - 2 + m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 144*v + 1458. What is o(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -542 - -545. Suppose -2822 = -3*r - 4*z, -s*r + 4*z = 2*z - 2792. Is 67 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - a**2 - a. Let m(f) = 6*f**3 + 5*f**2 + 5*f + 4. What is 5*k(w) + m(w)?\nAnswer: w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_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: Suppose -3*x + 4 = -x + 5*f, 0 = 4*x - f - 52. Suppose x*a + 491 - 3155 = 0. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:51 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 + 3 = 0. Let f(s) = -4*s - 3. What is the units digit of f(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5580 and 18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(13\/2)*l\/l**(-11\/3)*l*((l*(l*l**10*l)\/l)\/l)**(-44))**(3\/10) assuming l is positive.\nAnswer: l**(-2831\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12087 and 313395?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*n = -18, -5*k + 2*n + 5 = -1. Suppose -c + k = c. Find the common denominator of (-99)\/24 + 2 - c and -52\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282879034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -164 - -2?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748511463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435293976?\nAnswer: 2, 3659, 49033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20985 * -41.745\nAnswer: -876018.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -3*f - 5 - 1\/4*f**4 + 2*f**3 - 5\/2*f**2. Let z(w) = w - 3. Let o be z(7). Calculate s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 196 (c) -1 (d) -0.09386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2390\/14*-1 - (-4)\/(-14). Let n = 25 + -47. Let t = n - x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008201603 to six dps.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100111 - 210?\nAnswer: -1101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010 smaller than 11118\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 48, 2\/3, -0.1, 16, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-45)\/6. Suppose -4*j - 6 = 5*k, 5*j - 8 + 38 = n*k. Suppose -5 = -4*u - 5*b, -u + b = 3*b - k. Solve -c = -u*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23557 (base 9) to base 6.\nAnswer: 200554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -138 and -12.61?\nAnswer: 1740.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {m: 4, f: 6, o: 2, g: 2, x: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4229 is divided by 4179?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 85 - 76 + 0*g**3 + g**4 + 11*g**4 - g to the form m*g**3 + j*g**4 + z*g + q + i*g**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.15 and 0.0411.\nAnswer: -0.458265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 7 = -31. Let n(l) = 15*l**2 + 3*l. Let y be n(-2). Suppose d = 4*d - y. What is the least common multiple of d and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -1 - (3449 + -3462)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14*q**2 - 15*q + 11. Let s be z(-8). Suppose -c = c + 4. Is 10 a factor of s\/(-36) - c\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*f + 14, 5*f - 2 - 3 = 0. Let v be -1*((-117)\/26 - (0 - 0)). Suppose -v*r**2 + z*r + 0 + 3\/2*r**3 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12190 = 54*b + 26749 - 12291 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3 - 15*m**2 - 12*m + 60 = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -209*i**4\/6 - 6061*i**3\/6 - i**2 - 4568. Differentiate f(t) wrt t.\nAnswer: -836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*b = 1429, 22*b - 17*b = 4*u - 2783. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-5))\/((-756)\/945)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/4 + t**3 + 3*t**2\/2 - t - 7. Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 92074?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 10. Let 3*p**2 - 20*p - p**2 + 3*p**l = 0. What is p?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -26, -186, -492, -992, -1734?\nAnswer: -2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/3))**(6\/13)*(o**(-12\/5)\/o)\/((o\/(o\/((o*(o**(-6\/11)\/o)\/o)\/o)))\/o))**(1\/8) assuming o is positive.\nAnswer: o**(68\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4308693923 to the nearest integer?\nAnswer: 65641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1361, -1849, -2675, -3851, -5389, -7301, -9599, -12295?\nAnswer: -15401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + ((-15)\/(-5) - -36) is divided by (1\/(-3))\/(2\/(-114)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 254\/32 - (-140)\/2240. Let s(n) be the second derivative of n**3\/6 - n**2\/2 - 2*n. Calculate s(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18294361507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 16*l - 17. Let n be j(1). Suppose -f - 5*a - 12 = n, -26*a = -3*f - 22*a + 40. Solve 7*x = -29 + f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1935624 and -0.384654.\nAnswer: 1935623.615346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5\/9 - 820*m**4\/9 - 203828*m**3\/9 + 4620580*m**2 + 9308736*m + 4665600 = 0?\nAnswer: -225, -1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - 59. Let r(m) = -7*m**2 - 10. Let o(p) = p**2 - p + 1. Let n(s) = -6*o(s) - r(s). Calculate the remainder when k is divided by n(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.69183 minutes to microseconds.\nAnswer: 3161509800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6727*g**3 + 18*g**2 - 3*g + 1022411 wrt g?\nAnswer: 40362*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 49934 = h - 35*y, -h - 3*y = -49940. What are the prime factors of h?\nAnswer: 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30482, -121054, -272012, -483356, -755086, -1087202?\n\"Answer: -30193*j**2 + 7*j - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*s - 5, 2*n = s + 3*s + 18. Let a be (18\/12)\/(n*(-3)\/6). What is the third smallest value in a, 3.1, 3?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*b**2*i**2*s**3 - 9*b**2*i**2*s + b**2*s**3 - 3*b**2 + b*s**3 + 4*b*s**2 wrt s?\nAnswer: -1566*b**2*i**2 + 6*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 43730 + 72152. List the prime factors of z.\nAnswer: 2, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.23, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {t: 8, w: 4, s: 4, l: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*k**3 - 297*k**3 - 305*k**3 + 381*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmzmm. What is prob of picking 1 m and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(7) + -3)**2*5 + (((sqrt(70) - (sqrt(70) - 1*sqrt(70)) - sqrt(70))*-4 - sqrt(70)) + sqrt(70))\/sqrt(10))*5.\nAnswer: -600*sqrt(7) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - x**2 + 2*x**2 + (165*x - 18*x**2 - 165*x)*(-5 + 4 + 0) - 1445*x**2 + 544*x**2 + 1539*x**2 to the form w*x + q + v*x**2 and give v.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-2)\/sqrt(5) - (sqrt(13) - (3*(sqrt(13) - sqrt(117)) - sqrt(13)))**2) + 1 + (4 + sqrt(208) + (sqrt(130) - -1*sqrt(130))\/sqrt(10))*-2.\nAnswer: -839 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2132 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -51775.6 rounded to the nearest 1000?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 - 4*w**2 - 3. Let h(n) = -n**2 - 1. What is f(m) - 5*h(m)?\nAnswer: -7*m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 4*r + 4*r)*(4 - 5 + 18).\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 2167?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 18. Let n = 41 + 1. What is the remainder when n is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 311976 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17513, -140152, -473065, -1121390, -2190265, -3784828?\n\"Answer: -17523*t**3 + t**2 + 19*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888*t + 143*t = -6650*t - 70*t + 333293 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331.678 - 0.322. Let z = -65576043662 - -65576043994.00000147. Let m = z + h. Round m to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*m - 1049*b**3 - 3*b**2 - 5*b*m**2 + 25*m**4 wrt m?\nAnswer: -2*b**3 - 10*b*m + 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -1\/27*n**3 + 0 - 2*n - 1\/54*n**4 + 0*n**2. Factor r(w).\nAnswer: -2*w*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(-21))*f)\/(f**(13\/3)*f*f) assuming f is positive.\nAnswer: f**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*y - 781*y - 98912 = 446*y for y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 13. Let y be m(-13). Suppose 5*a - 10*a + 175 = y. Let d(c) = c**3 - 5*c**2 - 25*c + 20. Calculate the remainder when a is divided by d(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (5 - -20)) + (-12 - 8) + -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 42 = 12*a. What are the prime factors of (6*1)\/((2 + a)\/144)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122110 - -20301?\nAnswer: -101203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 91*d**2 - 727*d - 3047. Give r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + -1 + 3 + 3.\nAnswer: 5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose 2*h + 5*p + 0*p = 1510, 3*h + f*p = 2258. Suppose 0 = -3*m + 4*m + h. Round m to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 6. Let u be 3 - ((-15)\/(-1))\/(-5). Let y be v(u). Let f be (-1)\/(-2)*(y - -16). Solve -f*q - 5 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*k - 4*y, -2*y - 3*y = -15. Let d(a) = -a**3 + 28*a**2 + 57*a + 96. Let f be d(30). Solve k*u - 1 = f*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130544 and 3649.\nAnswer: 11618416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 divided by 4?\nAnswer: -127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -162727 >= -162728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k\/(k\/k**(-1\/8))))**(3\/8) assuming k is positive.\nAnswer: k**(147\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 1. Let h be g(3). Let z(s) = s - 1 - h*s**3 + 2*s**3 + 2*s**2 - 1. Suppose 5*n = -2*c + 12, n - 4*n + 2*c = -4. Calculate z(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 17*l**2 - 17*l - 4. Give t(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.759 take away 52.263404?\nAnswer: -53.022404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 + -7. Let k = n - -4. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/6 - c**2\/2 - c. Let s be i(5). Let z = s - 6. What is the third biggest value in -1, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59172558 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 2*z**4 + 47*z**3 - 20*z**3 - 27*z**3 - 458 to g*z**2 + l*z**4 + q*z**3 + p*z + r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(175) - (sqrt(175) + sqrt(175)*-1)) + 0)**2 - 1*((-1 + sqrt(175))**2 + 4)) + 5.\nAnswer: -40*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 4*c - 189 + 60 = 0, m + 4*c = -9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2325 and 2263?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(-2)\/(-10))\/((-5)\/(-15)). Which is the smallest value? (a) h (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2501253530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*v + 8*g**2 + g*k*v**2 + 2*g*k*v - 3*k*v**2 + 4*v**2 wrt g.\nAnswer: 8*g*v + 16*g + k*v**2 + 2*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.1195 + 1.0655. Let t = b - -44. Round t to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.7 + -5. Let d = t + -1.7. Let h be 6\/(-4)*28\/(-315). Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772108497 a multiple of 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d - 591 - 445 = 0. Calculate the remainder when 1218 is divided by d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 8, 2*d = 5*u - 22 - 2. Let q(j) = u*j - 7*j - j. Let h be 7 - 2*(-1)\/(-1). Let v(r) = -2*r. Calculate h*v(c) - 2*q(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5808455.3958+-33\nAnswer: 5808422.3958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 15 = r, -477*i - r = -475*i - 39. Solve -5*s = -3*h - 2*s - i, 0 = -h + 3*s - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-541*t + 496*t + 370*t)*(-3*t + 3*t + t) to z*t**2 + d*t + r and give z.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 332a7c (base 16) in base 12?\nAnswer: 1158624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaf. Give prob of sequence faa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 6. Let v(p) be the first derivative of -p**2 - 11*p - 4. Calculate -5*m(d) - 3*v(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, t: 3, r: 1, a: 3, o: 3}. Give prob of sequence raa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/2114345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116811 is divided by 400?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 4*d**2 + 2*d - 3*d**3. Let v(g) = -g**3. Let q = -483 - -259. Let u = q - -226. Determine u*v(a) - p(a).\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 4. Let m be y(-2). Find the second derivative of 11*x**4 - 4*x**2 + 5*x + 8 - 4*x + 3*x**m - 2 wrt x.\nAnswer: 132*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/103)*b**(-46) assuming b is positive.\nAnswer: b**(-4736\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 254*w - 3378. Calculate v(-111).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 at least -6.85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -6. Let t = 710.9 - 711. Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 16 = -4*g, 3*f + 371*g = 372*g - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8937 + -2.8937. Which is smaller: 3.3119 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -4 - (-2 - 1)) + 2 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128389 = 3*z - 5*h, 4*h + 7 = 23. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from seelhpeeshlu.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90767837 is divided by 796209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -69363.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 1. Let s(k) = k - 3. Let y(h) = -4*f(h) + s(h). Let p be y(1). What is the derivative of 3 - 2 - p*n**2 + 8 - 2 wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 17*f = 57. Factor 59*s + 16 - f*s + 5*s**2 + 64.\nAnswer: 5*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3645027*-0.3.\nAnswer: -1093508.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 15. Suppose j - p = 2*a, -6 - 4 = -a + 3*j. Put a, 3, 0 in descending order.\nAnswer: 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2785 + 2805. Solve 2*k + 23 = -5*q, 0 = -2*k + 3*q - 7*q - c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 46 = 2*g, -2*u + 5*u = 12. Let l = g + -30. Suppose 2*w + 2 = -l*c - 3, -2*c - 10 = 0. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28744708 (base 9) to base 3\nAnswer: 222211111210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -666775 + -4?\nAnswer: -666780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33516)\/(-105))\/(-21)*((-66)\/12)\/(-11)?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2 + 4*(-4 + ((sqrt(171) + (sqrt(171) - 1*sqrt(171)))*4 - (sqrt(171) - (sqrt(171) + -2 + sqrt(171) + 2 + sqrt(171) + sqrt(171))))))*-4)**2.\nAnswer: -45696*sqrt(19) + 2149648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 7*v. Let q = 12.2 + -53.2. Is v at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g. Let s be c(3). Suppose j - s = 4*j. Let w = 8 + j. Solve -7 = w*u - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -15, -m - 4*w = 3*m - 16. Let p(u) = -2 + 4*u - 5*u - 5*u**2 - 4 + m*u**3 - 6*u**3. Calculate p(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/39)\/(1\/(-12)). Let p = 30 + z. Let b(r) = -r**2 + r + 13. Let a be b(0). Calculate the greatest common divisor of a and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-48)\/174)*(-4)\/116.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281675 is divided by 140830?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 2*x**2 + 74*x - 2. Let k(z) = -10*z**3 - 11*z**2 + 369*z - 11. Determine -2*k(j) + 11*o(j).\nAnswer: -2*j**3 + 76*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104632220 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3710764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 6910194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5159973, 10319934, 15479895?\n\"Answer: 5159961*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7*o*o)\/(o\/(o**(7\/3)\/o))*o**(-4\/13)*o**(-1\/8)\/o*o)**(-3\/16) assuming o is positive.\nAnswer: o**(-2777\/1664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -256862 - 2?\nAnswer: -256864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1035603796.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16146 minus 27004?\nAnswer: -10858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-4 + -7) - 7) + 1 + -13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 13*i - 14*i - 19, 0 = 3*f + 2*i - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + 15\/(-4). Suppose -2*t = -g + 56, -2*t + 68 = g - 0*t. Let w(c) = g + c - 2*c - 64. What is w(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/22 + (-2)\/(-11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13900527 by 13900527.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76746 + -0.4.\nAnswer: -76746.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-8)*y)\/y)\/(y\/(y\/(y\/(y\/y**(1\/4))))*y*y)*(y**(-3\/4))**(-34) assuming y is positive.\nAnswer: y**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:22 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170 = -2*k - 3*g, 5*g - 585 = -4*k + 3*k. Suppose k = -67*t + 70*t. Which is smaller: t or 196?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14+128.780562\nAnswer: 128.920562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183 or 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91c3 + -236?\nAnswer: 8d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(6)\/sqrt(3) + -4 - -6*(0 + sqrt(2)) - (5*sqrt(36)\/sqrt(3))\/sqrt(6))**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0 - 11\/30*s**4 - s + 1\/75*s**5 + 0*s**3 - 24*s**2. Factor b(m).\nAnswer: 4*m*(m - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from wdddttwjttdtdyw.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -69 in increasing order.\nAnswer: -69, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5 - 605*l**4 + 7164*l**3 - 28528*l**2 + 37952*l = 0.\nAnswer: 0, 4, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 - 191 = 38*s + 25 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 28*p**7\/5 + 1151*p**4\/24 - 486*p**2. Find the second derivative of d(l) wrt l.\nAnswer: 14112*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -2*n - f, 6 = 3*n - 3*f. Let g(o) = -1 - n*o**2 + 3*o - 3 - 4 + 3. Let p(w) = w**2 - w + 1. Give g(m) + 5*p(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(75) + 4 - sqrt(75)*-1*4)*1*-1 + 2)**2.\nAnswer: 40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11792 - -58958\/5. Suppose -6*k = -4*k + 8. Put -2\/35, j, k in increasing order.\nAnswer: k, j, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d**3 + 10*d**2 + 3*d + 9. Let h(a) = -12*a**3 - 12*a**2 - 2*a - 10. Give -4*h(q) - 5*o(q).\nAnswer: -2*q**3 - 2*q**2 - 7*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18618 is divided by 6073.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2090698 is divided by 261337.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 80.1. Let f = -8 - -9.4. Let q = p - f. Put q, 0.05, 1 in descending order.\nAnswer: 1, 0.05, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2. Let r(o) = 798*o**2. Calculate r(m(p)).\nAnswer: 12768*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -r - 0*r + 32, t + 2*r = 4. Solve 31 - 7 = t*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 - 2152889*a**2 + a + 2152889 = 0.\nAnswer: -2152889, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from xim?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w**3 - 160*w**2 + 192*w = 0. What is w?\nAnswer: 0, 4\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 18 = 30. Suppose 3*o - 19961 = -2*f + 4673, k*o + 4*f = 32848. Round o to the nearest 100.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k + 2214 + 285 = 0. Calculate the remainder when 136 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2141.\nAnswer: 2\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -3 + -2 - (sqrt(1100) + 0))**2.\nAnswer: 90*sqrt(11) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156873.4 nanometers to micrometers.\nAnswer: 156.8734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*s - 217 + 832 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-2*t**2 + 2*t**2 - 2*t**2) - 4*t**2 + 1 - 17*t**2 + 3*t**2.\nAnswer: -16*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Let n = 55\/6 + -271\/30. What is the second smallest value in n, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1406 + 311. Let t = 1095.000459 + v. Round t to 5 dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m - 4*m + 609 + 955 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + 2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.18, -0.0444?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 2*d**5\/5 - 2*d**3\/3 - 5. Find the third derivative of p(k) wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3490994.4 + 3490994. Let z = 2521\/75 + -552\/25. Let k = -61\/5 + z. What is the closest to 1 in k, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*b - 40. Suppose -12*r + b = -9*r. Calculate the smallest common multiple of 23 and r.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(144)\/(sqrt(48)\/sqrt(72)))\/(sqrt(88)\/sqrt(99)*4))**2 + 3).\nAnswer: 1455\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 40. Let y be g(-28). Let h be (4\/(-6))\/((y\/6)\/(-4)). Let c be 2\/(-6)*3\/(-13). Are h and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 5, 1, -9?\n\"Answer: -3*y**2 + 11*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -22444?\nAnswer: -22440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-6 - -3)*10\/3. Let a(x) = -6*x**3 - 9*x + 5. What are the prime factors of a(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-110))\/10*(-154)\/42?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7152113 equal to -35760569\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 4. Let g be r(-5). Let m = g - -2. Suppose 12 = 2*a + m*a + 2*v, 4*v + 2 = 3*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 31*x = -30*x - 189. What is the closest to 1\/4 in -2\/7, 3, -0.3, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075258463.\nAnswer: 1931, 1592573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let l(z) = 5*z - 25. Suppose -4*f - 16 = 36. Let c = f - -16. Let o(i) = 11*i - 50. Let v(d) = c*o(d) - 7*l(d). What is v(m(g))?\nAnswer: 2*g**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-1*1\/(-4)). Suppose c*v - 79 - 1697 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) 0.3 (b) 0.64 (c) 1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2772 and 45416052?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -20410 (b) -0.4 (c) -6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370546 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9222, 5, 1\/3 in ascending order.\nAnswer: 1\/3, 5, 9222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51305\/1240 + (-1 - (-10)\/16)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 16 + 0 + (-58 - 9).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 + 4. Suppose -38*c + 39*c + 4 = 0. What is the third smallest value in 2, t, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156772918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 7, s: 1}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 3. Let o(i) = -i - 2. Let q(z) = -3*o(z) + 2*r(z). Let f(d) be the second derivative of -d**3\/3 + d. Calculate f(q(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:14 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2. Let n(g) = -1528*g. Calculate w(n(o)).\nAnswer: 11673920*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 881131803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g\/g**(-1))*g*g)**(1\/41))**38 assuming g is positive.\nAnswer: g**(38\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132055 and 770?\nAnswer: 264110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s + 0*s**3 + 1\/48*s**4 + 0*s**2 + 0 - 1\/80*s**5. Factor b(g).\nAnswer: -g**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(10)*-1)*-4)\/sqrt(5) + (1 + sqrt(2) + -1 - sqrt(2))**2 + 5 + (sqrt(2) - sqrt(8)\/sqrt(4)).\nAnswer: -8*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10059.\nAnswer: 3, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 120*t**2 - 5*t - 3. Suppose -v = 2*r + 12, -2*v + 3*v + 22 = -4*r. Is w(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 551314 - 6?\nAnswer: 551305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19043 = -5*t + 2*t - 5*p, 8 = 2*p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10*(-56)\/3150*66\/(-4) and -115\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhsgghszggz. What is prob of sequence ghs?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15415 (base 10) to base 4\nAnswer: -3300313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 21*t - 24. List the prime factors of l(6).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1245, 2524, 3793, 5046, 6277, 7480, 8649, 9778?\nAnswer: 10861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(4536\/5040*5*(-1)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 28*l - 28*l + 3*l**2 + 26.\nAnswer: 3*l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124839 (base 10) to base 8.\nAnswer: 363647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = -8*o - 4*l + 250, -2*o + 7 = -5*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/5)\/u**(3\/5)*u**(-6)*u**3*(u*u\/u**(2\/17)*u*u**(2\/29))**(-13\/6) assuming u is positive.\nAnswer: u**(-10249\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z - 157 - 10*z + 234 + 21*z. Let w be n(-5). Which is greater: -31 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**4 + 2*i**5 - 6280*i**2 - 5343*i**2 - 26*i**4 + 1968*i**2 + 2*i**6 - 9*i**5 wrt i.\nAnswer: 240*i**3 - 420*i**2 - 552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(5*m - m + 9*m)*(m**3 + 2*m - 2*m) + 3 - 3 - m**4 to j*m**2 + b + k*m**3 + y*m + h*m**4 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 855 = 21*k. Is k bigger than -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1145 = 9*g - 2239. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9384 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzoo when four letters picked without replacement from {z: 2, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-102)\/(-425))\/(246\/410)*(-4)\/(-13).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57057 = -640*z - 2077*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n. Suppose n = -m + 2*m - 31. What is the common denominator of m and 42\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28799980 = 3*a - 4*r, 0 = 2*a + r + 17476249 + 1723756. Round a to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 98\/5*(-425)\/(-17). What is the highest common divisor of 280 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184\/114 + 7\/(-91) + (-4960)\/3120\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 76*h**3 - 14*h**2 + 6*h - 58. List the prime factors of k(6).\nAnswer: 2, 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 2:53 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 2225385?\nAnswer: 2225385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4536562 (base 10) to base 14.\nAnswer: -8613a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:45 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -68. Suppose -58*o + 10 - 13 + 83*o - 17 - 5*o**x = 0. What is o?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:52 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*u + 78 - 364. Let r be 192\/88 + (-2)\/u. Solve -14 = r*p + 2*a, 2*p + a + 11 = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*j - 13687 - 53466 = -4049 for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d + 105*d + 39813120 = -185*d. Round d to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1848 - 1848.2. What is the second smallest value in 2\/3, 1, -31, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1839511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4536.505ml?\nAnswer: 4.536505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -0*c - 2*f, -f + 6 = 4*c. Let t(q) = -7*q**2 - q + 1. Determine t(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.1. Let n = -7\/86 - -451\/258. What is the closest to m in -0.5, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/9 + 1564*c**2\/9 - 404600*c\/9 + 3851792 = 0. What is c?\nAnswer: 238, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -3, -2\/11, -3\/4, -3926, 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 - 295*b**2 + 3119*b + 1428. Determine g(45).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 15*a + 14. Let z be y(7). Suppose -5*p + 134 = 124. Sort p, z, 1 in increasing order.\nAnswer: 1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(288\/264) + 14. Solve -a*s = -0*s + 5*u - 17, u + 15 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 - 115*h**2 + 35*h - 507. Determine q(-39).\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - (4 + -1) - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 2)\/(3\/(-2)). Suppose f - 2 = -2*f - 4*s, 4*f = o*s + 10. Solve -1 = -f*u + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**4 - 6*z**3 - 6*z**4 - 2 + 0 to the form d*z**3 + u*z + r + n*z**2 + x*z**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1402 + -1401. Which is the second smallest value? (a) o (b) -0.1 (c) 241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h + 492597 - 67158. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 - 26\/(-8). Let p(x) = -x**2 - 495*x**3 + 2*x**2 + 2*x**2 + 3*x - 7*x**2 + 496*x**3. Let d be p(h). Solve -4*o + 5*a = -3, d*o + 1 = o - a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j + 8*j + 13*j. Let b(d) be the first derivative of d**3\/3 + 111214. Give b(y(c)).\nAnswer: 729*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 30. Let l(y) = y**2 - 3*y - 3. Let b be l(d). Suppose -b*c = -0*c - 1099. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28558969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l + 2406 = 24*l. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 1318338675.\nAnswer: 1318338677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 3*g**4\/16 + 89*g**3\/4 - 69*g**2\/2 - 135*g - 1962. Solve x(d) = 0 for d.\nAnswer: -90, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 6. Let n(o) = -o + 3. Suppose 2*k + 0 = 6. Let x(i) = -i + 2. Calculate a*x(f) + k*n(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 5. Suppose 0 = -4*l + 5*x, -19 = -2*l - j*x + 3. Suppose 3*o - 349 = l*y, 2*o + 3*y + 0*y - 201 = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62231 and 4.4.\nAnswer: 62235.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 6*z + 5. Let d be c(-7). Sort 5, d, -16.\nAnswer: -16, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w + 4689. What is r(-68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/((25\/(-20))\/(5\/(-57)*-19)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -136. Let z(k) = k**3 - 22*k**2 - 2*k + 47. Let h be z(m). Is 3 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*d + 3*b, 402*d - 404*d + 9 = -b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = -6. Suppose 3*y + q*t - 50 = 0, 36 = 2*y + t + 3*t. Suppose -9*d = y - 55. Solve 20 = -v + d*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3053450 and 35300?\nAnswer: 6106900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -24*h**2 + 2*h + 3. What is s(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/3 - d**2\/2 - 7*d. Determine c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.457122 - 4053.\nAnswer: -4018.542878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 123163 divided by -31\nAnswer: -3973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (24\/15)\/((-2)\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.784722mg in nanograms?\nAnswer: 784722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:07 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*g**3 - 87455088*g**2 - 49974384*g - 7139200.\nAnswer: 4*(g - 446200)*(7*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2) + (8 + 2 + -2 - 18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 19 = -62*k + 61*k, 3*k = 5*d + 29. Solve k*l + 3 + 15 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 9\/13 (c) -4 (d) -154 (e) 11 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(-1))**(-35))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(4 + 2 - 4)*((40 + 15*t - 88 + 46)*(-2 - 1 + 1) - 46*t + 2837 - 2837).\nAnswer: -152*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/(4\/(-48)). Suppose m = z - 10. Let r = 431 + z. Is r 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 {h: 3, u: 2, q: 1, g: 6, t: 2}. Give prob of picking 1 q and 2 h.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + 1*sqrt(243) + 3)*6 - (1*sqrt(243)*3 + 1 + sqrt(243)*-1)*-3)**2.\nAnswer: 3240*sqrt(3) + 35212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-52 + 0)\/((-2)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*p = -748*p + 32100 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 6 - (-18 + 21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xww when three letters picked without replacement from {w: 7, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -70*n**3 + n**2 - 1. Let p be y(-1). Suppose -a + 3*a = p. What is the highest common factor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*i = -63, -3*k - 4*i = k - 48. Suppose 0 = -5*w - 0*w + k. Calculate the remainder when 10 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxouy. What is prob of sequence ofx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576575?\nAnswer: 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1939*0.664\nAnswer: -1287.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2675907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4\/4 - 7*l**3\/3 + 2*l - 6. Determine i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) + -2) - sqrt(6)\/(sqrt(2)*1)) + 4.\nAnswer: -8 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 63 + 4)*(b - 4*b + b) as y + h*b and give h.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -25. Let x(b) = b**3 + 5*b - 7 - 11*b**2 + 7*b + 3*b**2 - 2*b. What is the tens digit of x(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/112 - 26\/(-7). Suppose a - 5*h = 209, 0 = 2*a + 2*a - q*h - 868. Suppose -2*o + a = 5*p - o, -o + 47 = p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164635012?\nAnswer: 2, 23, 907, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -110*k - 7250. Give b(-66).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u**2 - 41*u - 6. Let x(h) = -15*h**2 - 42*h - 8. Suppose -40 = -p + 11*p. Let v(m) = p*g(m) + 3*x(m). Find the second derivative of v(b) wrt b.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -48, 4, 0, -5 in descending order.\nAnswer: 4, 0, -5, -42, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0890731 litres in millilitres?\nAnswer: 89.0731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4050) + 1))**2.\nAnswer: 1440*sqrt(2) + 64816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000763892312 to seven decimal places.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4.3*9114\nAnswer: -39190.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/271348 and 25\/703038.\nAnswer: 15466836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.12 - -1.72. Let s = 4 + -5. Sort a, s, -0.5, -2\/3.\nAnswer: s, -2\/3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 4 = -5*h. Suppose 0 = c - h - 13. Suppose c*g - 17 = 22. Sort -3, g, 1, 4 in decreasing order.\nAnswer: 4, g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(135))\/sqrt(5) + -2*(sqrt(3) + -2*sqrt(3)) + 2 + (6*(2*sqrt(12) - sqrt(12)) - sqrt(12)) + -1*sqrt(12) + -3)**2.\nAnswer: -26*sqrt(3) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47601 and 4542759.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -40*a - 18765. Let l(t) = -3*t - 1341. Determine 55*l(h) - 4*p(h).\nAnswer: -5*h + 1305","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2161, 2020, 1823, 1570, 1261, 896, 475?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-10))\/q*(q*((q**7\/q)\/q*q)\/q)\/q)**(2\/79)\/(((q**2\/q)\/q**5)\/(q**3*q**(-6))) assuming q is positive.\nAnswer: q**(69\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 760588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185\/3 + -61. What is the closest to l in -2, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332312400 (base 5) to base 13\nAnswer: 3b9021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -4)*-3 - -6. Let n be 1\/(-2)*f + 4. Which is the biggest value? (a) n (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4145?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7290169?\nAnswer: 41, 269, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-24) + (-47)\/282\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**7\/490 + b**6\/56 + 9*b**5\/140 + b**4\/8 + b**3\/7 + 56*b**2. Find l such that n(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -80*h - 12. Let u be a(-2). Let d = 589\/4 - u. Sort d, 2\/7, -9, 3 in descending order.\nAnswer: 3, 2\/7, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i*j*l + 2508*i*j*s - 2*i*l**2*s - 5974*i + 18*j*l**2 - 65*j*l*s + j*l - 7*l**2 wrt s?\nAnswer: 2508*i*j - 2*i*l**2 - 65*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353051 = 131*i - 172*i. List the prime factors of i.\nAnswer: 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)\/((-1)\/5). Suppose -x*a + 3*a + 10 = 0. Suppose 0 = 2*l - a - 3. Solve 4 = l*j - 6*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 + 2421 = 49*j - 2644. Solve j = -17*l + 6*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 89*f - 4*f - 26*f - 28*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 815\/(-2)*((-484)\/55 + 8) + -5. Which is smaller: o or 2238\/7?\nAnswer: 2238\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (104\/(-78))\/(2\/(-12)). Solve 0 = v*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -15 - 1\/2*u**4 - 2*u + 0*u**2 + 0*u**3. Differentiate l(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 33*w**2 + 37*w + 25. List the prime factors of q(12).\nAnswer: 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 5. Let i = -65 + 90. Let q(h) = -4 + 5 + 2 - i*h + 23*h. Calculate 7*q(b) - 5*w(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14596 + 14594. Sort 47, 0.24, c.\nAnswer: c, 0.24, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-35)\/(-32))*82\/164. Let o = r + 229\/576. Factor o*w - 2\/9*w**2 - 2\/9.\nAnswer: -2*(w - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*m - 459 = -495*m. Solve -12 = 3*z, 4*b + b = -2*z + m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3738848 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258331640 to the nearest integer?\nAnswer: 16073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 318073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 7, 1\/10, 245.3, -2 in ascending order.\nAnswer: -2, 1\/10, 1, 7, 18, 245.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-910656)\/324*((-16500)\/2)\/2. Round l to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(6\/(-72)). Suppose 0 = -i*x + 10 - 50. Let m(h) = h + 10. Give m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (9 + 2 - -6) + 5 + -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 222 = -6*n. Let j = n + -2. What is the highest common factor of j and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m\/(m*m**1\/m))\/m*m)))**13\/(m**(-3)\/(m**(-2\/5)\/m))*((m**(2\/5))**15)**(1\/75) assuming m is positive.\nAnswer: m**(42\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (-132 - -155)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 5*p + 48 = 41*p, -z + 11 = 2*p - 6*p for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31793\/34958 - 90\/227. What is the common denominator of k and 109\/196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from eaateeaevannatne.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203 and 2030?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 749 + 19*a + 3*a - 7*a**2 - 752.\nAnswer: -7*a**2 + 16*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 153615 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -82*s - 6176. Calculate u(-77).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(162) + sqrt(162))**2 - (sqrt(162) + 0 + -4)**2 - (-5 + (sqrt(24)\/sqrt(4)*-3)\/sqrt(3)*2).\nAnswer: 78*sqrt(2) + 7765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -20 - 13\/((-351)\/9720) and 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 25. Let w be v(19). What is the highest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34785 divided by 3865\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 8. Let o(z) = 1334*z - 895. Let s(j) = -10*k(j) + o(j). Find the first derivative of s(n) wrt n.\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-7)*(514 - 528)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -954, -3936, -8952, -16002?\nAnswer: -25086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, 0.5, 8, -0.2, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170411\/12 + -34907\/6. Let v = 8372 - u. Calculate the common denominator of 35\/54 and v.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m - 8*m**2 + 9*m**2 - 50*m - 29 + m + 13*m. Give d(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = 5*s - 10, s - 10 = -3*l. Let x(d) = 8*d**3 - 1 + 4 - 13*d**3 + 1 + 12*d**l. Let k(u) = -27*u**3 - 15. Give 4*k(c) + 15*x(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8235860 to the nearest 10000.\nAnswer: -8240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 24 = 5*m, 2*m = -3*y - 64 + 39 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106727.\nAnswer: 106727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dae - 2?\nAnswer: dac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose 4*y - 5*h - 8 = 0, -2 = y - g*h - 4. Does 6 divide -3*(y + (-23)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, -3, -83, 3, -9 in ascending order.\nAnswer: -134, -83, -9, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 - 4*y**2 + 270*y + 12. Let r(p) = p**3 - p**2 + p + 3. Give 3*r(h) - s(h).\nAnswer: -2*h**3 + h**2 - 267*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5565 is divided by 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-566000)\/(((-1)\/(-7))\/((-80)\/56)). What is i rounded to the nearest one hundred thousand?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c59 - a7?\nAnswer: 9b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 90020000 to the nearest 1000000.\nAnswer: 90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -1 - 3 - -2. Let u be 1\/(-2)*2 + r. Let c(y) = y**2 - 5*y - 1. Determine c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1696 + -0.0996. What is the nearest to 0.1 in 3, -0.5, d, -4\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1.974.\nAnswer: -5.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 24 = -330. What is the remainder when 148 + ((-4)\/(-4))\/1 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) + (-39072)\/(-185). What is the third derivative of s*u**4 + 2189 - 99*u**2 - 80*u**4 - 2189 wrt u?\nAnswer: 3144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 26. Let b be n(-6). Let v(r) = -2*r + 13. Let l be v(b). Suppose 2*u + 42 = l*u. Solve 0 = -j + u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*g + 211. Solve -2*a + 213 = -3*s + 189, 5*a - g = 2*s for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53, -58, -65, -74, -85?\n\"Answer: -m**2 - 2*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + r)*(-1 + 3 + 1)*(4 + 1 + 0).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k - 8 = 0. Let l(i) = i**2 - 4*i - 2. Does 9 divide l(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: da (base 16) to base 11\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsd when three letters picked without replacement from fosoxsdoo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31765.9 + -405.\nAnswer: 31360.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -300726 - -21?\nAnswer: -300705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Let p(m) = 2336771*m. What is x(p(f))?\nAnswer: 5460498706441*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/39 (b) -229013 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493014 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-1 - 1)) + 2. Solve g*m + 2 = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (313\/2)\/((-3)\/(0 - 36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2)*(-510920)\/954. Is -16878\/7 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -485690 rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3035\nAnswer: -303.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzttt. What is prob of sequence ztt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 27*d**2 + 22*d + 109. Let p be r(26). Suppose -79 = -p*n - 7*g + 3*g, 5*n + 3*g = 78. Solve 4*l - l = n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*n + n = -24, -2*m - 12 = -4*n. What is the third derivative of 5*q**2 + 4*q**6 - 6*q**6 - q**m wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15778961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**3\/6 + w - 745. Let z(c) = 1343*c. Calculate n(z(h)).\nAnswer: -1343*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8596227258*h + 2*h**3 - 8596227258*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -21425 - z**2 + 21425. Let u(r) = 17*r. Let q(o) = -5*o + 2*o - 5*o. Let t(a) = -9*q(a) - 4*u(a). What is t(s(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.037, 2\/25, -1, 0.2?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1 - (46 + -35 + (5 + -1 - -56)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 198, -4, -0.2, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*h - r, 5*h - 3*r - 219 + 19 = 0. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1\/(-7) - (-4)\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 + 13053*i**3 - 26093*i**3 + 2*i + 11 + 2*i**2 + 13044*i**3 - 4 as a*i + z*i**3 + g + d*i**4 + s*i**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/1723 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 41*u**2 - 81*u. Is 62 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -2) - (-47 - -47).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 6:24 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 1400*i**3 - 7 + 1 - 2 + 5*i + 1396*i**3 to the form c*i**3 + b*i + l*i**2 + v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 114794*f. Let a(i) = -1010*i**2. Determine h(a(t)).\nAnswer: -115941940*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11723 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1111648 divided by 24\nAnswer: 138956\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azqo when four letters picked without replacement from qeezziieoaaezzeeaq?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102638 is divided by 102505?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -3\/7, -55, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.665 and 170.39?\nAnswer: -113.30935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 50713339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087906 at most as big as 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 15, 32, 55?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 11*k**2 + 23*k - 52. Let h be d(12). Suppose 39*t - 95*t**2 - 87*t - t**2 + 40*t**3 - 2*t**5 - h*t + 6*t**4 = 0. What is t?\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - k + 161 = -34, 4*l - 3*k - 175 = 0. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6918*d**3*i**2 + 2*d**3*i + 34*d**3 + 5*d**2*i - 4*d**2 - 2*d*i - 29*d + 1642*i**3 wrt i.\nAnswer: 13836*d**3 + 9852*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/6)\/(410\/2460).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 9*u**5 - 6*u**5 + 2*u**3)*(2 - 1 + 2).\nAnswer: 9*u**5 - 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 262748*p - 1 + p**2 - 262781*p in the form n*p**2 + g*p + f and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (219 - (-4)\/(-2 - 0)) + -2?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1044\/(-8)*4\/(-6). Suppose 2*q - 897 = y. What are the prime factors of q?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 - 662838*k**2\/5 - 3977298*k - 29830410.\nAnswer: 2*(k - 331449)*(k + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u + 1. Let g(q) = 893*q + 5. Let n(y) = -512*y - 3. Let w(f) = 4*g(f) + 7*n(f). Determine -5*v(c) - 4*w(c).\nAnswer: -12*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165*y**6 + 403*y**2?\nAnswer: -19800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/8)\/((-63)\/168). Let f be (-9 + (-267)\/(-30))\/(m\/4). Which is the biggest value? (a) f (b) 2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/13929 and -47\/18?\nAnswer: 83574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52847990 to the nearest integer?\nAnswer: 7270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176*x - 1278*x + 112176 = 498*x for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3 + 4. Let g be (z + 0)*(11 - 11). Suppose g = -2*y - 9 + 39. What is the highest common factor of y and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*z - 10614 = -89*z + 174 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.32324 + 0.3232430402. What is y rounded to seven dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 8. Let f = 8 - 14. Let v be j(f). What is the second derivative of s**v - s**2 + 2*s + s**2 - 2*s**2 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 5*c + 7. Let y(v) = -3*v + 8. Let w(k) = 3*i(k) - 4*y(k). Let o(l) = 11*l**2 - 5*l - 22. Determine 4*o(a) - 7*w(a).\nAnswer: 2*a**2 + a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -107*r + 708. Let i be c(6). Solve -i*l = -63*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q\/(q*(q*((q\/(q*q**5))\/q)\/q)\/q)))\/(q*(q*q*q*q*q**15*q)\/q*q**(-2\/9)) assuming q is positive.\nAnswer: q**(-250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -989 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4629.12072 rounded to the nearest 10?\nAnswer: 4630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, d: 3, p: 2, y: 4}. What is prob of picking 2 m?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 + -0.87. Let j = r + 1. What is the closest to j in 2, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192492, 384981, 577470?\nAnswer: 769959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 8*i**2 - 7*i + 11. Let d be u(-8). Let y = d - 64. What is the first derivative of 20 + 9*g**3 - 2 - y*g**3 + 0*g**3 wrt g?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004442485 to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*g + 126*g - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2058 - 1643. Calculate the smallest common multiple of 45 and k.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**8\/336 + 823*n**7\/105 + 904201*n**6\/120 + 8318503*n**5\/3 + 41254262*n**4\/3 + 82283296*n**3\/3 - 2104*n**2. Factor z(j).\nAnswer: (j + 1)**2*(j + 548)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3.5. Let j = -1 + 1. Let i = j + 0.5. What is the closest to -0.1 in 2\/7, q, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -434418, -3475349, -11729298, -27802773, -54302282, -93834333, -149005434?\nAnswer: -222422093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 10*l**2 - 11*l - 14. What is b(-10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24*875358\nAnswer: -21008592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 51\/2)*(198\/27 - 7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 4. Let q(p) = -5*p**2 + 2 + 3 + 0 + 0*p**2. Let g(a) = -3*q(a) - 4*s(a). What is g(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 7*l**2 + l**2. Let y be (-8 - -6)*(-1 - -3). Let c(a) = -6*a**2 + 4. Let q(p) = -8*p**2 + 5. Let z(m) = y*q(m) + 5*c(m). Give z(b(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29262, -60245, -92928, -127305, -163370?\nAnswer: -201117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 7*v + 1. Let y = 6 - 11. Let w be z(y). Let q = -1 - -2. Solve q - w = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26008*q - 11392*q - 8484*q to the form g*q + m and give g.\nAnswer: 6132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 61. Suppose z + 7*p - 73 = 4*p, -z + 2*p + 88 = 0. Calculate the remainder when z is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2061242\/69 or 29873?\nAnswer: 2061242\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + -2 - (1 - 1). Suppose 4*i - 3 = -p. Let u(x) = -13*x**2 - 7*x - 1. Let a(r) = 13*r**2 + 5*r + 1. Let j(k) = -3*a(k) - 2*u(k). What is j(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917057 is divided by 11457?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = m. Suppose 0 = -2*x + 8 - m. Suppose 3*l - 14 = -0*l - 2*q, x*l + 4*q - 20 = 0. What is the remainder when 5 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m - 5 = 0. Let w be (8\/(-5))\/(1\/m). Let k = 11 - w. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhu when three letters picked without replacement from {p: 5, u: 2, h: 12}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -2*f - 3*h, 0 = -3*f - 3*h. Let p be -27*-4*f\/(-6). What is the highest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmtttdtdtxtb. Give prob of picking 1 d and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -2*w**5 + 13*w**3 - w**2\/2 - 76*w - 1157. What is the second derivative of i(f) wrt f?\nAnswer: -120*f**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t**3 + 12*t**2 + 9*t + 4. Suppose 3*j - 54 = -3*s, -s + 20 = 3*j + 2. Let l(c) = 3*c**3 + 3*c**2 + 2*c + 1. Determine s*l(z) - 4*y(z).\nAnswer: 2*z**3 + 6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -0.610643?\nAnswer: 0.17098004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhhhhqq. What is prob of sequence qqqh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -17*l**3 - 3*l - 5. Let d(k) be the first derivative of -3*k**4\/2 - k**2\/2 - 2*k + 3. Suppose 15 = -3*z + 3. Calculate z*v(t) + 11*d(t).\nAnswer: 2*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -803076, -803082, -803088, -803094?\n\"Answer: -6*x - 803070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 m when four letters picked without replacement from {c: 2, a: 1, m: 3, h: 1, z: 3, v: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 829831429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*l - 325 + 2661 - 264 = 0 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - b + 3, -5*u + 30 = -5*b. Suppose 2*c - 2 + 10 = -m, u*m - 5*c - 35 = 0. Suppose -m*a + 18 = -2. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-10)\/j**(-1\/8))\/(j\/(j\/j**(2\/27))*j*j**(-5\/2)))**(-21\/2) assuming j is positive.\nAnswer: j**(12775\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26705 and 20629?\nAnswer: 11242805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 77475613156*p**2 + 77475613159*p**2 + 0.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (2\/1 - 2). Suppose -r + 2 = -y. Suppose 0 = -3*k + 6, 152 = 4*j + r*k - 528. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*q - 3. Let l be (2\/(-16))\/(q\/(-18)). Let f = -11\/4 + 5\/4. Which is the nearest to f? (a) 2\/3 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*x + 3*x - 5919, 0 = 5*p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by 2\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1519, -0.02197 in decreasing order.\nAnswer: 0, -0.02197, -1519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 7 = -f + 4*u, 0 = -5*f + 4*u + 77. Which is the smallest value? (a) f (b) -5\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -65*z - j + 126 - 528, -4*j + 18 = -5*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11562 divided by 1927.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 6. Let h = 0.08 - -169.92. Let o = h - 171. What is the closest to 1 in 2\/9, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -7)*(1 + 1)\/(-2)*-1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*p)*(-3*p + p + 4*p) + 5*p**2 - p**2 - 7*p**2 + 3*p**2 + p**2 - 3*p**2 + (2*p - 1 + 1)*(3*p - 3*p + 2*p) as j + k*p + h*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 8*j**2 + 13*j - 1. Give w(-6).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 52, 96, 148, 208, 276, 352?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 + 251*s - 2340 = 0. What is s?\nAnswer: -260, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 5*t + 4*t)*(-5*t + 3*t + 0*t) - t**2 - 2 + 2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2848, 29597, 102208, 243613, 476744?\n\"Answer: 3822*o**3 - o**2 - 2*o - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5203 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/(c\/((c**(-4\/9)\/c)\/c*c*c)*c))**38 assuming c is positive.\nAnswer: c**(-4864\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let q be -3 - -2 - -1 - -1. Let m be l(q). Find the third derivative of -3*a**6 + m*a**2 - a**6 + a**6 wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1700) + -2*sqrt(272) - (-3 + -6*sqrt(204)\/(sqrt(48)\/sqrt(4)))**2.\nAnswer: -621 - 74*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -8. Let z = 1 + l. Let a be 2\/z - (-11)\/2. Solve -3*u - a - 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 1267.7?\nAnswer: -19015.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1137058)\/121240 + 198\/21.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 394 + -75. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19 + -6*3\/(-6). Sort 3, k, -3 in ascending order.\nAnswer: k, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.3, 17, 2, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by 99\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/30*-5*(-4)\/25.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171919050.\nAnswer: 2, 3, 5, 233, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = 4*h + a - 0, a = 5*h + 255. Let c be (24\/h)\/(3\/2). Is c smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276 is divided by 79?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006753 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9043 - -0.6162. Let o = i - -0.1515. Let b = o + -113.4634. What is b rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - 0.2. Let t = 266 - 271. Put -0.4, k, t in ascending order.\nAnswer: t, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/13 - 64758*u**2\/13 - 524037888*u\/13 + 2621808640\/13.\nAnswer: -2*(u - 5)*(u + 16192)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.8. Let j = y - 13. What is the third biggest value in -0.5, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*((-8)\/12)\/2. Let i be 3\/y*(-34)\/(-1). Differentiate 17 - 10 - i + 2*x with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 504355901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 7 = -j. Let q = j + -21. Solve 3*z - 2*f - 22 = -q, z = -3*f - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22\/66 + (-1388)\/(-3) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -69*m**2. Let w(a) = 17*a**2. Let d(o) = 4*s(o) + 18*w(o). Let c(x) = x. Determine c(d(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-4))\/(4\/16))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.57 + 2.07. Suppose -11 = -2*l - 7. What is the nearest to l in 0.2, -1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 7) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -578 in increasing order.\nAnswer: -578, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three sixths of a week?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 393046*s - 786046. What is r(2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:05 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/2 + 26307*y**4 - 154287219*y**3 + 305481978366*y**2 - 33814548121455*y\/2 - 17212910352621 = 0. Calculate y.\nAnswer: -1, 58, 5827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -316339.7 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z = -2*u + 30, -51 = -5*z + 2*u. What is the remainder when 49 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t - 26. Suppose -3*j = 4*s - t, 5*j - 2 = -s - 4. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4485803.\nAnswer: 7, 43, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*5*-4*sqrt(170)*3)\/(1*sqrt(110)\/(sqrt(11) + sqrt(297)\/sqrt(3))))**2.\nAnswer: 15667200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 130\/78 - (-2)\/6*55\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)**(-10)*v**7*v**(-3\/4))\/((v**(1\/2)*v*v*v\/v**(-3\/5)*v)\/(v**(-1))**3) assuming v is positive.\nAnswer: v**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(95)*2*-4*-5)\/((sqrt(50)\/sqrt(5))\/sqrt(2) + (sqrt(10)\/sqrt(2)*6 - sqrt(5))).\nAnswer: 400*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111060498 to the nearest integer?\nAnswer: 10539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5 - 1762*a**4 - 7026*a**3 - 8774*a**2 - 3508*a = 0 for a.\nAnswer: -877, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262\/39 - -47768\/7215. Let d = m - -11\/37. Factor 2\/5*w - d - 1\/5*w**2.\nAnswer: -(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3)\/(13\/((-78)\/(-12))). Suppose 0 = -9*t + 14*t + 2*b - 2074, w = 5*b + 15. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75 - 116) + 8*3 + 49\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -2)\/((-70)\/(-3542)). Let v = u - 50. Let k be (1\/3)\/((-8)\/(-6)). Which is the nearest to k? (a) 0.3 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-7 + -9)) + (8 - 11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + -4 + -2*sqrt(343) + 2).\nAnswer: -42*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = -11. Suppose 8*f + 5 = a + x*f, -2*a = 5*f + 5. Suppose -5*k + 0 = -15. Sort k, a, -1.\nAnswer: -1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2666 - 1752. Let c = -1396 + j. Is 10\/(-2*2\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*r - 12*r - 13*r - 1)*(-2*r**3 + 3*r**3 + 0*r**3) in the form v*r**4 + y*r**2 + p*r**3 + k + n*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -37. Suppose -2*q - 2*u - 6 = -o, 0 = -2*q - 3*u + 5. Suppose -5*k = -x + 3*x - 375, -2*x = q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 193*n**2 - 7*n + 5. Let y be l(1). Find the third derivative of -r**2 + 2*r**2 - 35*r + y*r**3 - 96*r**3 wrt r.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30597263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 16*c + 3. Let w be v(-17). Solve t = -3*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22664, -90682, -204068, -362840, -567016, -816614?\nAnswer: -1111652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 131410143?\nAnswer: 131410303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.5 and -2.9.\nAnswer: -24.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 990 and 1430?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*3*-2)\/((sqrt(99)*4)\/sqrt(11)).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 18) + (21 - 32)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 16. Give o(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*s - 73 - 32 = 0, -4*s = 5*r - 60. Suppose -y + 6*y - 163 = -2*t, -4*t = -r. Is 31 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50084 and 52.\nAnswer: 651092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(40)\/(sqrt(5)*2 + sqrt(5))))\/(sqrt(216)\/sqrt(4)*-6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/6 + 91*o**3\/3 - 2308*o**2\/3 + 4256*o\/3 = 0. What is o?\nAnswer: 0, 2, 28, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2254, 2241, 2202, 2125, 1998, 1809, 1546?\n\"Answer: -2*s**3 - s**2 + 4*s + 2253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 4*o**2 + 2*o + 3. Let s be j(3). Let i = s + -4. Put 0, i, -2 in decreasing order.\nAnswer: 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zao when three letters picked without replacement from okazbopbzzookoobbzkb.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 53296288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.5 - -9.645. What is m rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3201 and 5410854?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22 - (-5 + 10 + -13). Calculate the greatest common factor of d and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)\/((-291)\/18 - (193 - 209)). Let f(l) = -l - 7. Let n be f(-7). Let i(a) = -a**3 + n*a**3 + 7*a + 5*a**2 + 5 - 1. Determine i(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 2920 = -15*d. Let s = d - 199. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -1 - 4, 0 = -j - 2*b + 22. What is the remainder when 35 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 13. Let j(v) = v - 13. Let i(q) = 149*q**2 + 1489*q - 5. Let z be i(-10). What is z*h(y) + 6*j(y)?\nAnswer: -4*y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8141*s + 8. Let w(f) = 16283*f - 19. Calculate 7*k(c) + 3*w(c).\nAnswer: -8138*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*99\/(-44) - (-13)\/((-1209)\/(-341)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 26 = -c + 19, -33 = -c - 4*v. Suppose 0 = -3*j + 4*p + c, 0 = -j + 4*j + 5*p - 13. What is the lowest common multiple of 10 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -21*d**2 + 6*d + 12. Let k be t(-5). Let b = k - 293. Let c = -471 - b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 316 and -314.\nAnswer: -99224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 19. Let k be v(3). Let n(q) = 3*q + 15. Let p(u) = u + 1. Let x(r) = -n(r) + 2*p(r). Calculate x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -139.\nAnswer: -13\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 4*p - 2*p)*(p**2 - 2*p**2 + 16770 + 2*p - 16789) to v*p**3 + b*p**2 + r + j*p and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.70885 + -25.81. What is u rounded to 3 dps?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/6 (b) -0.2 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + s + 3*s)*(-83 + 43 - 21 + 2 - 4 + 4 - 2 - 4 + 4 + (2 + 1 - 2)*(-2 + 4 - 1) + 4 - 6 + 4) to the form c*s + u and give c.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -54 + 20\/7*t - 8\/21*t**3 - t**2 + 1\/14*t**4. Solve i(k) = 0 for k.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 2. Let s(y) = 2*y - 8. Give s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8268 by 13.\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17886401?\nAnswer: 13, 1375877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 2*u**2 - 3*u**2 + 6*u. Suppose 16 = -5*x - 5*q + 1, 4*x - 3*q = -33. Give p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 94*w - 22. Let i be f(-31). Suppose 10*x - i*x + d = 148, -133 = -x - 4*d. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -24*r - 145 + 31 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 3676786*q\/7 + 55151340\/7.\nAnswer: 2*(q + 15)*(q + 1838378)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004058942386 to 6 dps.\nAnswer: 0.004059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2042 + 19979*s + 2042.\nAnswer: 19979*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3699 is divided by 307?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21029, 42064, 63101, 84140, 105181, 126224, 147269?\nAnswer: 168316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.84989 months in centuries?\nAnswer: 0.246541575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**2 - 8 - 3 - u**3 + 3 + 1. Give k(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from jjvjjv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i - 3*s - 449, -2*i + 2*s = 170. Let k be (i\/(-160))\/((-2)\/8). Which is bigger: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -80. Solve 2*l + 2*c - 14 = 0, l + 2*l - 4*c = f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2. Let k = -21 + 26. Let r(s) = -6*s - k*s**2 - 3*s**2 + 6*s. Calculate r(j(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 248*g**7\/21 - 274*g**3\/3 - 4*g - 743. Find the second derivative of w(v) wrt v.\nAnswer: 9920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (192\/(-432))\/(3\/(-27)). Solve 15 = -3*z - 3*d + 3, -2*z - c = -2*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -5 - (-8 + 8))*-1. Let v be 0 - ((-4)\/6)\/(-2). Is k smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -5, 3, -2\/5, 0.14, -42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103376323.\nAnswer: 173, 597551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16244 and 2511?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 10\/7)*(-18 - -17)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 8. Let c = i + 0. What is the smallest value in -2\/13, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*-4*(-70)\/336. Let h(r) = 11*r - 85. Let s be h(8). Let f be 12\/7 - 2\/(-7). Solve -3*j + m = c, 4 = -s*c - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2076989148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 29*p**3 + 7*p**2 - 7*p - 7. Let y(i) = 7*i + 6*i**3 + 3*i**2 - 10*i + 9*i**3 - 2 - 1. Let a(u) = 4*s(u) - 9*y(u). What is a(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 4*f = -35*z + 12, -5*z = 3*f + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 119 + 4*t**2 - 53 - 70 + 7*t. Suppose 2*d + d = 6. Suppose -2*h = 3*u - 17, 1 = d*u - u - 4*h. Determine m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 6283*t - 1 = 6286*t, 10*v = 5*t + 25 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 6*g**2 + 2*g - 4. Let o be s(6). Suppose -2*w = 2*w + o. Let q = 0.1 + 0. Sort 0.5, q, w.\nAnswer: w, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10902, 10928, 10972, 11034, 11114?\n\"Answer: 9*h**2 - h + 10894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-28)\/175 - 4\/(-20)). Solve -7*d - b = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3862 + 0.53675. Round n to three decimal places.\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 12*v + 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271 + -269. Let s be ((-6)\/2)\/(6\/(-8)). Differentiate s*o + 16*o**2 - 6*o + 23 + a*o wrt o.\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4\/2 - 27*w**3 - 141*w**2\/2 - 45*w = 0.\nAnswer: -15, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 9. Suppose b + z*b = -4*t + 184, 0 = -2*t + 4*b + 104. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-6))\/(((-9)\/1)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - 2*q**3)*(2 - 3 - 1 - q).\nAnswer: 2*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - u)*(-3*u**3 + u**3 + 4*u**3) + (3 + u - 3)*(-3 + 6 + 8)*(-892*u + 892*u - 83*u**3).\nAnswer: -915*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -14. What is the first derivative of 0 - f + 15*g**3 - 9*g**3 wrt g?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121379, 241178, 360981, 480788, 600599, 720414, 840233?\nAnswer: 960056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) - (-7 - -11) - -6. Suppose -5*t + 2085 = 5*n - 4010, 3*n + f*t = 3661. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.72 + 0.02. Let l = x - -4.62. Let o = l + -1.9. Is o > -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*j - 270599998, -4 + 6 = -2*j. What is t rounded to the nearest 1000000?\nAnswer: 90000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 3372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v\/(v*v**(-2\/9)*v))*v)*v*v**(-4) assuming v is positive.\nAnswer: v**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 4. Let x be y(5). Let r be (2 - 9\/3) + x. Let q be -1*(-1 + (-116 - r)). What is the greatest common divisor of 23 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -365621.\nAnswer: 7678041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/247*(-2)\/36. Let i = 22 - 16. Let g(h) = -h**2 + 9*h - 17. Let z be g(i). Which is greater: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -761\/231 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r - 3*f + 12, -2*f + 8 = 3*r. Suppose 175*g - 180*g = 0. Which is the closest to g? (a) -0.4 (b) r (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b57 (base 13) in base 14?\nAnswer: 6446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 123?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18.2 and 27317.\nAnswer: 27298.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (9 + (8 - 6) + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -41.6. Let q = b + -2.7. Let t = q + -3.699924. What is t rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*k + 5*p + 6, 4*k + 4*p + 12 = 0. Suppose k = -l + 3 + 2. Suppose -j = l*z - 31, -j + 3*z = 2*j - 183. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 m when four letters picked without replacement from matammftfmatqqmqfmf?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/3 + 5\/(-15). Let m = v - -13. What is the third derivative of 2*y**3 + y**3 + 0*y**2 + 0*y**2 - m*y**2 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -10, -a - 47 = -3*s + 41. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-25 - -16) + 5 + -21).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102997801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8516 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163750604.\nAnswer: 2, 37, 1106423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 74. Suppose u*l = 7 - 3. Suppose 5*b - l*b + 5*c = 262, 0 = -4*b - c + 355. What are the prime factors of b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1652369895 and -107.3.\nAnswer: -1652370002.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115884 or 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-7))\/(1\/((-3)\/3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 1, d: 2, w: 4, g: 3}. What is prob of sequence wfg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83450953.\nAnswer: 1151, 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 20\/7 (b) -3 (c) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2144 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*r - 507 = 137, 0 = 4*k + 3*r - 2627. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 4*j**3\/3 - j**2\/2 - 4*j + 2. What is the remainder when k(-4) is divided by (116 - 99) + 6\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 723.5083 decades?\nAnswer: 7235.083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-12))\/((-7)\/(-42)). What is the third biggest value in -0.04, o, 0.004?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389938 is divided by 495?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10865 + 10870. What is the fourth smallest value in u, 0, 1\/3, -0.2, -3\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4256409 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 385 = -5*w, -3*b + 6*b + 3*w - 525 = 0. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 - (-105 - -194 - -17)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 - -145. Solve a - 4*q + v = 0, -a + q = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c + 93*c = 4*t + 28, -3*c = 4*t + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46200 or 56267?\nAnswer: 56267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4001 by -4.\nAnswer: 4001\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -889 and -1.05.\nAnswer: -890.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.21 - -23.21. Which is the biggest value? (a) 0.03 (b) k (c) 98 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 166\/6 - 2\/(-6). What is the greatest common factor of 252 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 - 7*a - 1. Suppose 2*d = 36 + 12. Let p = 27 - d. What is the tens digit of c(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p - 55*p = 945. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95148.8 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 246231561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 25*g - 173. Give a(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -122\/3019 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -38. Suppose t*q - 13*q = 100. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) 22\/7 (c) -0.1 (d) 0.06 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-5))\/((-8)\/(-20)) - -20. Calculate the greatest common factor of y and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30521 + 13806 = -344*h + 2210*h + 5141 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 3. Let t(d) = -2*d + 2. Let o(a) = -2*r(a) - 3*t(a). Let b(c) = 9*c**2. What is o(b(k))?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 303?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 32757 = 3*n, z - 6*z - 5 = 0. Is n\/77 - (-6)\/33 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 118.2. What is o rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 23. Is 2 not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2652 + 788 = -19457*t + 19537*t for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 151, -6, -2086 in decreasing order.\nAnswer: 151, -6, -16, -2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 182336, 364670, 547004?\n\"Answer: 182334*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 - -99 - (-2 + 2) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360645 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2 + f + 2. Let u be i(4). Let s be 9\/2 + (-10)\/4. Solve -28 = 5*m - 4*p, s*m - p + 2 = -u*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 67 + 13. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(16)\/(sqrt(8)\/sqrt(2)))\/(sqrt(2) + sqrt(6)\/(1*sqrt(3)) - sqrt(2))*4.\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 1. Let g be z(1). Let p(x) = g*x + x**2 - 2*x. Let s(f) = 8*f - 7*f + 3 + 4*f - 10*f. Calculate s(p(q)).\nAnswer: -5*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 11) to base 7.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/((44\/(-2722698)*-3)\/(1\/3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400092483 to the power of 1\/4, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(150)*-5 - (-3 + (-2*sqrt(1728))\/sqrt(9)))**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/120 and 59\/8991.\nAnswer: 359640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(5\/105). Let h(y) = -53 + v*y + 7*y + 7*y - 16*y. Calculate the lowest common multiple of 10 and h(16).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 13 + 13)*(-5*y + 3*y + 0*y) + (0*y + 0*y + 2*y)*(3 - 4 - 1).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwiiww. What is prob of picking 1 i and 1 w?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*w - 23541 + 2893 = -2201 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*q + 47 + 86, 153 = 2*h + q. Suppose 0 = -2*a - h + 308. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2476 = -9*l + 2494 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ligh when four letters picked without replacement from {l: 2, n: 1, g: 3, a: 2, i: 3, h: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -21. Suppose -3*t + 2*p = -2*p + 32, 0 = -f*p + 8. Let h be (6\/t)\/(6\/4). Which is the nearest to h? (a) 2\/3 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112.1 - 111. Which is smaller: 3\/5 or n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/((-325)\/68887) - (5 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*x + 891*x = 412*x + 255*x - 5452 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*c + c - 10, 4*c + 4 = 0. Suppose -4 - 2 = p + 3*l, -w*l - 44 = -4*p. Calculate the highest common factor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 1. Let g(s) = 11. Calculate g(h) - 2*w(h).\nAnswer: 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*a - a + 2*a)*(3 + 1 - 3) - 2*a - 3*a + 6*a)*(2 + 4 + 1) to the form b*a + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 985*t**3 + 1131*t**3 + 986*t**3 - 3110*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = k - 9847 + 100470, 45319 = i + 2*k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -3)*2\/4. Let z(h) = -h**3 - 3*h**2 + 4*h + 4. Let t = 20 - 24. Let b be z(t). Solve d = 3*o + q + 14, 3*o + 14 - 3 = -b*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152869 and 937942.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 192\/33 - (-12)\/(-21)*126\/(-396)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyxyyyyyyyyyxxxyy.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*x = -241*x - 711 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - r - r - 14 = 0, 4*t + 4*r = -8. Suppose 0*k = k - 16. What is the tens digit of k + -4 + t*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141440501 greater than or equal to 141440502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -72449?\nAnswer: 72450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -319*-0.058236\nAnswer: 18.577284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + v + 20. Let r be j(0). What is the highest common divisor of r and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 552195*s**2 + 15245689800*s - 15246242000.\nAnswer: 5*(s - 1)*(s + 55220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625 times -0.3?\nAnswer: -1087.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -1\/2*w**4 + 0*w**3 + 0*w**2 + 0 - 71*w. Let t(x) = -21 + 21 - x**2. What is t(d(u))?\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbwbbbbwbbmw. Give prob of picking 4 b.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/8)\/((-6)\/24). Suppose x - 4*g + 5 = -0*x, 5*x = -n*g - 25. Let v(z) = -2*z + 6. Calculate v(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/6 - 180*i**2 - 4*i. Let m be u(0). Round m to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/2 - 939*z\/2 - 470 = 0. What is z?\nAnswer: -1, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2080582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36034 - -353.\nAnswer: 353.36034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80873*d**3*x - 6*d**2*x**2 - 2*d**2*x - d*x**2 + 260017*d*x - 4*x**2 wrt d.\nAnswer: -485238*d*x - 12*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8766.\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 + 4*g + 1. What is the remainder when z(4) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-80)\/(-30) - 0)\/(2\/3). Let z be x\/18 + (-242)\/198. Which is the third biggest value? (a) -9 (b) -3 (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6\/85375535?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 427798787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + c - 232995 = 0, 0 = 7*t - 12*t - 2*c + 1164990. What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 473365835 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -44*l**3 - 576*l**2 - 530*l - 6205. Give o(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*x**5 + 30*x**4 - 5*x**3 + 32749*x wrt x?\nAnswer: -120*x**3 + 360*x**2 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13771 = -5685. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from ifmsshdd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*q**2*w - 169*q**2 + 4*q*w**2 - q wrt w.\nAnswer: 24*q**2 + 8*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141026 is divided by 990?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -4 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*h + 4*p, 0 = 5*h - p - 21 - 9. What is the remainder when h is divided by (-20)\/6*(-6)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (0 + (sqrt(132)*-2)\/sqrt(12))**2 + (6*sqrt(99)*-2)\/(sqrt(900)*2)).\nAnswer: -3*sqrt(11) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a + 18 = -74*a. Let b(u) = 3*u + 2. Let v(h) = h + 1. Determine a*b(y) + 7*v(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v + 96 = 12*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 5:40 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(564\/(-24)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 168 = 29*n. What is the highest common factor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(135)\/sqrt(3))**2 - (-4 + -1 + sqrt(80))) + -3.\nAnswer: -4*sqrt(5) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*h**2 - 33*h**2 - 187*h - 142*h)*(-3*h**2 - 3*h**2 + 3*h**2)*(-1 + 2*h + 1).\nAnswer: 6*h**5 + 1974*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209\/4 + 52. What is the second biggest value in 0.2, 3, t, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58392 divided by 92?\nAnswer: -14598\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 + 3 = -3*i, 2*i - 14 = 4*u. Suppose 4*d = -o - 14, 3*d + o + 1 = 5*o. Let x be 6 - (d - 0 - -4). What is the highest common divisor of x and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 + 4. Let l be g(4). Suppose -l*d - 1 - 3 = 0. Let k be 3\/4*d\/(-3). Which is the third biggest value? (a) k (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(121)*-1)\/sqrt(11)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = f + 2*t, -f + 9 = 542155*t - 542154*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-15)\/5 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3775*y = -3747*y + 4*g + 292, 17 + 148 = 5*y - 5*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -148 in descending order.\nAnswer: -2, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-22)\/(-99) + (-490)\/1125 and -1\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37728255?\nAnswer: 3, 5, 223, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (10 - -5 - 19)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 650 and 585?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*u = 38, 0 = -h + u - 8 + 26. Calculate the highest common factor of 143 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4345461 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + d = 216, -3*c = 2*d + 2*d + 148. Let f = -41 - c. Suppose -2*u + 10 = 0, -f*u = -2*m - 4*u + 177. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (0 + sqrt(75))) + sqrt(192)\/sqrt(4) + ((-1*sqrt(216))\/sqrt(6))\/((sqrt(84) - 2*sqrt(84))\/sqrt(7)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/7)*k*k**(-1\/3))\/(k**(-2\/3)*k**(-2\/25)))**(-37) assuming k is positive.\nAnswer: k**(-19129\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -288730, -1 in decreasing order.\nAnswer: 35, -1, -288730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/14 - -1) + 640\/112. Let p be (l\/((-6)\/3))\/(13 - 16). List the prime factors of ((-4)\/(-12)*843)\/p.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -0.01607\nAnswer: 0.22498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 429*b + 37 + 5 - 443*b as u + i*b and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + v + 2*v)*(3*v - 2 + 2)*(-2 + 3 + 4*v - 10*v)*(-4 - 1 + 2) - 21*v**3 - 71*v**3 + 51*v**3 to s + z*v**2 + h*v + j*v**3 and give j.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -883.177 * 70\nAnswer: -61822.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*z = -1312, -5*z - 12 = -z. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*h + 3*f, -8*h - f - 31 = -10*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3878*g + 5. Let y(u) = -647*u - 1. Give -2*n(o) - 13*y(o).\nAnswer: 655*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.537322 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/152*8 + 192\/(-33)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**3\/4 - 15*x**2\/2 + 3*x\/4 + 9\/2.\nAnswer: 3*(x - 3)*(x - 1)*(3*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 8. What is the first derivative of -v*l + 3 - 4*l + 15*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9 = 2*k + 19, -3*k - 60 = 4*q. Let i(w) = 5*w**2 + 36*w + 5. List the prime factors of i(q).\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**(-1\/6))**(7\/6)\/((r**(-2\/5))**(-1\/23))**17 assuming r is positive.\nAnswer: r**(2801\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 - -10) + 4\/3. Which is the nearest to y? (a) 3 (b) 2.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74\/13 or 1.1?\nAnswer: 74\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206816 - -2200315422\/10639. Let b = p - 755351\/95751. Let v = -4335 + 43467\/10. Find the common denominator of b and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -7. Let a be x\/(-10) - (-40)\/(-25). Let t(k) be the second derivative of -k**3\/6 - 1152*k. Let b(q) = 5*q + 2. Determine a*b(g) - 6*t(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73187 and 1714?\nAnswer: -125442518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1330 - -213?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 823552.2 to the nearest 10000.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6975\/(-1395))\/(1\/50))\/((-10)\/5).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/31 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 + m + 7. Let c be k(-5). Calculate the remainder when 37 is divided by 17 + 2 + 0\/c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + r - 1. Suppose -9*a + 10*a = 0. Suppose a = 4*j - 12, 5*l - 31 = -6*j + 4*j. Let t(z) = -z**2 + 1. Let w(y) = l*t(y) + h(y). Calculate w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 33*x. Let p(j) = 4 - 2 + 2711*j - 2 - 2731*j. What is p(h(b))?\nAnswer: 40*b**2 - 660*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 509 + -360. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 15, 4, -8, -5 in decreasing order.\nAnswer: 15, 11, 4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (2*(-2*sqrt(245) + 5) - ((sqrt(245) - 2*(sqrt(245) + 1*sqrt(245)) - sqrt(245)) + sqrt(245) - (sqrt(245) + sqrt(245)*-2*4))))**2.\nAnswer: -672*sqrt(5) + 15711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 990104863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 23972 = 2*s, 119*n + 4 = 118*n. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, w: 1, s: 1, k: 1, v: 1}. Give prob of picking 2 c, 1 k, and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/77)\/((15\/(-2)*5\/(-25))\/(-546))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/7 - 622*t**2\/7 - 26732*t\/7 - 276672\/7 = 0. What is t?\nAnswer: -262, -33, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-1\/3)\/i)*i*(i*(i*i**(-1\/3))\/i)\/i*i**0*i**(-6)*(i\/(i\/(i**0*i)))**(-29)\/((i\/(i*i**(-2\/9))*i)\/i*i**(-2)*i) assuming i is positive.\nAnswer: i**(-281\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 36 = -3*m, 4*v + 0*v = 163078*m - 163081*m + 44 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2057.\nAnswer: -5\/2057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18186 is divided by 56.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 22, -0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 + 0*m**3 + 0*m**3 + (2*m**2 - 2*m**2 - 2*m**2)*(3 - 3 + m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*h + 602 = -2*y, 604 = -4*y + 4*h. Calculate the remainder when ((-8)\/(-5))\/((-6)\/y) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7336.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 122*a - 251*a + 131*a + 6 = -0*j, 0 = -35*j + 4*a - 31 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149925876.\nAnswer: 2, 3, 1619, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11 - 19*b - 7 + 17. What are the prime factors of l(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 7*b + 5. Let a(j) = 2*j**2 + 4*j + 3. Let x(f) = f**2 - 17*f - 57. Let i be x(20). Calculate i*g(w) - 5*a(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.53 and 4481?\nAnswer: -6855.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 859, 772, 621, 400, 103, -276, -743, -1304?\n\"Answer: -s**3 - 26*s**2 - 2*s + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 265*c - 2120. Let r be u(8). Sort 1, 13, r, 5, 3 in descending order.\nAnswer: 13, 5, 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33496?\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(8\/49) + 1 and (-12)\/22*7 + 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-154)*1)\/(13\/(-26))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 4. Suppose -v + 12 = v. Let u be (-3)\/v*(2 + -2). Calculate q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n + 1. Let q be b(1). Let z(u) = u**3 - u**2 - 3*u - 4. Let o(k) = -6*k**3 + 4*k**2 + 15*k + 21. Let p(l) = -2*o(l) - 11*z(l). Give p(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 110*m**2 + 7 - 2 + 1 - 117*m**2. Is y(-7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/140)\/((-64)\/(-80) - 248\/(-140)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/676736 and 95\/437888.\nAnswer: 7444096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 21\/28375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -0.6, 0.1, 3\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 437?\nAnswer: 3059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 0, -4, -94, 2 in increasing order.\nAnswer: -94, -54, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17768 to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5726*s - 21130 = -107020 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 + 0.00714\nAnswer: 0.24714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/6 - 19*u**3\/6 + 18*u**2 + 112*u. Let k be z(-11). Solve -3*r - 2*r = -k*w + 19, -r = 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 4*p = -20. Solve -2*w - q - p = 0, -7 - 16 = -3*w + 5*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*g - 885*g - 13*g + 2 + 0 - 1255*g - 904*g.\nAnswer: -2580*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46266.4523*4.\nAnswer: 185065.8092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -585 + 597. What are the prime factors of 31*(12\/8 + n\/8)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.26 * 0.114.\nAnswer: 1.73964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/32*(-4)\/11. What is the second biggest value in -11, -1\/4, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 20 = 54*z - 11. Solve q = -2*t - 9, -2*q = -q + z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/15554 and -67\/36.\nAnswer: 279972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15977830.\nAnswer: 2, 5, 11, 145253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 334*r**2\/5 + 1368*r\/5.\nAnswer: -2*r*(r - 171)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/120 + g**5\/15 + g**4\/12 - g**3\/6 - 15*g**2. Calculate x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(156)*-1 - sqrt(156)) + sqrt(156)))\/sqrt(12).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -234*g**3 - 2*g**2 - 8*g - 8. What is the tens digit of w(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 62.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 31*l - 35*l + 24 + 23, 68*l - 137 = -2*u + 221 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 28.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -63 + -80 - -139?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (2\/2 - -2). Let b(r) = 81*r**2 + 2*r - 3. Let c be b(q). Suppose -5*t + c = 5*z - 28, -310 = -2*t - 4*z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 59976?\nAnswer: 239904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipiiniinn. Give prob of sequence ipn.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25928, -51928, -77928, -103928, -129928?\nAnswer: -155928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -246*b*d**2*m**4 - 2*b*d**2*m - 3*b*m**2 - 2*b + 42*d**2 - m wrt m?\nAnswer: -2952*b*d**2*m**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115752616 and 569898?\nAnswer: 1041773544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-5)\/(60\/(-9))) - -46. Let j be (-2)\/8 - (-113)\/4. Calculate the greatest common divisor of j and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 52*a**2 + 62*a + 183*a + 18*a**2.\nAnswer: 5*a*(a + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let r(q) = 148*q - 45*q + 108*q. Calculate r(y(z)).\nAnswer: -211*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 296*b**2 + 35*b + 1. Let o(u) = 14*u. Give o(s(f)).\nAnswer: 4144*f**2 + 490*f + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/(-10) + 13\/(-65). Let t = 7 + j. Solve d - t = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -2*m - 3*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -5. Calculate the least common multiple of b and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63680 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 173405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (48 + 30695\/(-640))*(8\/(-40) + -1)\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - -5*sqrt(102)*-2 - (2*sqrt(102)*-1 + sqrt(102) - sqrt(102)))\/(sqrt(42)\/(sqrt(112)*1)).\nAnswer: -28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(2057) + 0)*1 - sqrt(2057) - -3*sqrt(2057)*1))**2 + (0 + sqrt(272) + 4 - -6*(sqrt(17) + 1 + sqrt(51)\/sqrt(3)))**2.\nAnswer: 320*sqrt(17) + 171069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/4507 - -1455731\/67605. Let i = -82\/3 + n. Find the common denominator of (18\/(-10))\/(16\/(-10)) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 1. Let z(w) = 6*w + 21. Let t(g) = -3*f(g) - z(g). Let m be t(-8). Find the third derivative of -5*d**6 + 21*d**2 + 2*d**m - 5*d**2 wrt d.\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.06, -110, -1675, -2\/9 in descending order.\nAnswer: 2, 0.06, -2\/9, -110, -1675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.07039 rounded to 1 dp?\nAnswer: 309.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 336 = 346. Sort w, -10, -1 in descending order.\nAnswer: -1, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - 15. Let x be 3\/4 + 8964\/r. List the prime factors of -2*(-8)\/((-32)\/x).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Suppose -6 = 4*t - 4*f - 14, i*t - 12 = 4*f. Suppose -3*x - 10 = -16. What is the smallest common multiple of t and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7314 + 233.\nAnswer: -7081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 7*f)*(-123*f + 84*f - 75*f - 74*f - 50*f).\nAnswer: -714*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + 86. Let h be a(-6). Let w(n) = 5*n - 76. Let d be w(16). Sort 7, d, h.\nAnswer: h, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/21318 and 25\/28.\nAnswer: 298452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) 6 (c) -4\/30017 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 362053328*c + 16385326539484448.\nAnswer: 2*(c + 90513332)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 > 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 2983*h**5\/5 - 2205*h + 7525. Differentiate a(b) wrt b.\nAnswer: 11932*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times 0.04\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -63, -164, -313, -516?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82, 310, 696, 1246, 1966, 2862, 3940?\n\"Answer: y**3 + 73*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -38. What is the common denominator of (-6)\/(-4) - (-222)\/(-36) and (2\/w)\/((-6)\/1608*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 1, 2, 0.184, -9 in descending order.\nAnswer: 237, 2, 1, 0.184, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -11. Let g(h) = 3*h - 14. Let a be g(d). Solve 0 = -4*t - 4 - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2109 and 888.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142a (base 12) in base 8?\nAnswer: -55042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 2*y**3 + 4*y**3 + (-y**2 + 1 - 1)*(-4*y + 5*y + 3*y) + (y**3 + 4*y - 4*y)*(-6 - 12 + 3).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 348.4612.\nAnswer: 348.9612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/2*r**3 + 0 - 2*r + 0*r**2. Let a(l) = -l**2. Let x(q) = -6*q**2. Let s(n) = -8*a(n) + x(n). Determine w(s(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 290016 <= 290029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(-2*j - 2*j + 2*j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.18, 19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40302 is divided by 19538.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 33. Let v = t + -17. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 555408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3469448.015 - -3459109. Let h = p + 10330.015013. Let z = h + 9. What is z rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 10, -44, -3 in decreasing order.\nAnswer: 10, 0, -3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 42 - 30. Let z be (h + (-93)\/30)\/(-2). Put -0.5, z, 0.5 in increasing order.\nAnswer: -0.5, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -11 - (0 - 4). Let x(s) = s + 8. Let a be x(o). Calculate the common denominator of a\/3*(-24)\/32 and -107\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -20, 32 = -3*i + 5*i - 4*s. Solve i*g - g - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 345, -3, 3 in decreasing order.\nAnswer: 345, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 2*c + 4. Let w be f(-3). Let u = 13 + w. Solve -5*v = -4*z + 16, u*z - 6 - 14 = -5*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1 = -4*m + 63, 2*m = -5*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -240 - -2638\/11. Let z(i) = -8*i - 10. Let o be z(-8). Let j = -54 + o. Which is the second biggest value? (a) h (b) -3 (c) 2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83731690 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 17 = -71 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118641348 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663 divided by -221.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.369 + 18163.74\nAnswer: 18163.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 - 292 - 3771*f + 89 + 100 as w + x*f and give x.\nAnswer: -3771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 4844.\nAnswer: 116256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1533 divided by 7.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14831 not equal to 14834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(105\/(-14) + 7). Let l = 238 - t. What is the lowest common multiple of 7 and l?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1667\/(-4))\/((-2)\/968). Let k = -1971707 + p. What is k rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12181 divided by -14?\nAnswer: -12181\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 + 9. Let t = 0 - s. Let b be (3\/21)\/((-18)\/42*(-6)\/(-6)). What is the nearest to t in 0.1, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12 + (-3)\/(270\/33). What is the nearest to -1\/2 in -3, -0.06, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(567) + -1 - sqrt(567)) + sqrt(567))**2 - (sqrt(7) + sqrt(847)*2 + sqrt(42)\/(sqrt(6)*2))**2.\nAnswer: -13095\/4 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:25 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 21 = 0. Let l = s + 1. Suppose c + c = l. Solve 0 = c*x - 0*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Is s < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 + s - 12. Let v be 1\/5 + (-4)\/20. Let f be z(v). What is the units digit of (f\/16)\/((-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/19 (b) -0.5 (c) 0 (d) -74 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7502 - 5246. Let y = -2511.4 + j. Let r = -279 - y. What is r rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34969129 and 17069.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55940521 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from eeeexmxxxheehh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, e: 4, c: 5, q: 1}. What is prob of sequence mqe?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 9. What is the remainder when a(3) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 11. Let q be s(-4). Suppose -q - 9 = -8*a. Sort a, -4, -5, -2 in decreasing order.\nAnswer: a, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/420153 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - 103) - (1799 - 1818)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 12*o - 16. Let n be b(-14). Let w be 3\/12 + (-15)\/n. Let s(h) = 3*h**2 + h + 1. Let m be s(w). Solve -5 = m*p + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 695, 1420, 2159, 2918, 3703, 4520, 5375, 6274?\nAnswer: 7223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14511 = -11*g + 23824. What are the prime factors of g?\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3)\/3*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234400.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**3 + k**3 - 2*k**3)*(389 - 104 - 198) in the form n*k + b*k**3 + h*k**2 + r and give b.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 2*f - 2*f)*(0*f + 6*f - 2*f) + (-1 - 4 + 3)*(-2*f**2 - 3*f**2 + f**2) to a + k*f + t*f**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 23. What is the nearest to 3 in x, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145193675?\nAnswer: 5, 11, 181, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -1\/2*k**4 + 2\/3*k**3 + 1\/6*k**6 + 1\/2*k**2 - k - 1 - 1\/5*k**5. Factor d(x).\nAnswer: (x - 1)**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z*z\/(z\/z**(3\/10)*z*z))\/z)*z*z\/z**(-13\/2)*z*z)**(-1) assuming z is positive.\nAnswer: z**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrkcprrvkkrpuk. What is prob of picking 2 p and 1 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Suppose -7 - 8 = a*v. Is 6 a factor of (v\/(-2))\/((-1)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542321 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3132221031220 + 11?\nAnswer: -3132221031203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 365*t**4\/3 + t**2 + 5*t - 25. What is the units digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183\/10534 + -2646197\/12609198. Let u = 10\/171 - k. Suppose -6\/7*a**3 + 6\/7*a - u + 4\/7*a**4 - 2\/7*a**2 = 0. What is a?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12 and (1\/(-3))\/(12\/(-290))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -220146 or -1100723\/5?\nAnswer: -1100723\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -348*h**3*j - 28*h**3 - 22*h**2 + 10440*h*j + 1440*h - 4*j - 2 wrt j?\nAnswer: -348*h**3 + 10440*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 92247*j**2\/2 + j - 6. Let d be t(4). Suppose 661011 + d = q. What is q rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 2)*236388\/60 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 3*z**3 + z**4 + 0*z**3 - 1. Let v(y) = -y**4 + 6*y**3 - 3*y + 6. Let t(c) = 6*q(c) + v(c). What is the second derivative of t(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*x - 6. Suppose 4*f - x*f = -2. Factor 13*b**4 - 5*b**2 + 5*b**2 - 2*b**f + 1 - 12*b**4.\nAnswer: (b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t - 7*t + 1647. What is the remainder when 974 is divided by t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8891 - -8895. Solve -4*l + m + 6 = -2*r, 3*l = 4*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 4*a + 16 = 0. Let u(g) = g**3 - g + 763*g**2 - 1 + 2 - 764*g**a. Suppose 1 + 9 = 5*f. Determine u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**4\/7 + 432*v**3\/7 - 70740*v**2\/7 + 339568*v\/7 + 410736\/7 = 0.\nAnswer: -199, -1, 6, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 42*g - 2. Let m(r) = -9*r**2 + 126*r + 7. Let o(j) = -7*k(j) - 2*m(j). Factor o(f).\nAnswer: -3*f*(f - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 16.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 5) in base 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -595664158 divided by 2?\nAnswer: -297832079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.1206\nAnswer: -0.04824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -47*u + 797. What are the prime factors of p(5)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*x + 127*x - 15440. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwfkwakfaw. Give prob of picking 4 w.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101346 divided by 399.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213326243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u + 26. Let h(a) = -a - 1. Let m(q) = 26*h(q) + x(q). Let o(c) = -4*c. Give o(m(i)).\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 16200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110101 (base 2) in base 11?\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72049*m + 0 - 2 + 4 - 2.\nAnswer: 72049*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*w - 27 - 15 + 42.\nAnswer: 65*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121121100111122 (base 3) in base 4?\nAnswer: 201222201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -18*a**2 + 2. Let w(o) = o**2. Let v(p) = -2*i(p) - 28*w(p). Let q(n) = 16*n**2 - 9. Let c(h) = 3*q(h) - 5*v(h). Differentiate c(s) wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j. Let p(k) = 6*k**3 + 4*k + 3. Determine -p(y) - 3*r(y).\nAnswer: -3*y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -463 + 1233. Suppose 5*l + x + 3*x = -g, -4*l = 4*x + 616. Is (3 - l)\/(2\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(1\/2)*l))\/l)\/l**11)**(1\/20)*(l**(5\/3)\/l)\/((l\/(l*l\/l**3*l))\/l)*((l\/(l**(-2)\/l))\/l)\/(l*l**(6\/11)*l*l) assuming l is positive.\nAnswer: l**(-133\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + k**2 - 62*k**2 + 2 + 8*k**2 - 17*k**2 to h*k**2 + t + f*k and give h.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -6) + -29 - (-2 + 1) - (26 - 18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:57 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65216 by -8.\nAnswer: -8152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 3675156?\nAnswer: 33076404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, y: 1, o: 2, d: 1, a: 4}. What is prob of picking 3 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 741. Let j(a) = -7*a + 1355. Let w(y) = 5*j(y) - 9*p(y). What is w(11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 6*w + 9 = 5*s, -15 = -3*s + 3*w. Suppose -b - s = 7. Let q be 1\/((-1)\/(-18)) + 10 + b. What is the highest common factor of q and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.026 - 1.026019625. Round w to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 minutes after 8:16 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*y + 1538*y - 117794 = 65038 for y.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26685 (base 11) to base 15.\nAnswer: -b442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*d - 60 = d, 0 = 3*l + 5*d + 140. Let m = l + 58. Differentiate -16*k - 29 - 10*k - 10*k + m*k wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 75*t - 69*t. Find the first derivative of -7*u**2 - 17 + 2 + 218*u**3 - t - 220*u**3 wrt u.\nAnswer: -6*u**2 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15*t**2. Let l(m) = 15927*m. What is f(l(w))?\nAnswer: -3805039935*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 56.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -680, -1535, -2404, -3293, -4208, -5155?\n\"Answer: -w**3 - w**2 - 845*w + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*a = 37, 2*a = -m + 3 + 3. Suppose 6*b = -3*b + 558. Suppose b*w = -29 + 277. What is the fourth smallest value in m, 2, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 * -0.2\nAnswer: 21.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -59 (c) -0.1 (d) -0.196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112004 (base 5) in base 4?\nAnswer: 332210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 6*u - 3. Suppose 4*k - 25 + 13 = 0. Let j(b) = b**2 - 2*b + 1. Let o(f) = k*j(f) + g(f). Let p(t) = -8*t**2 + 21. Calculate o(p(a)).\nAnswer: 64*a**4 - 336*a**2 + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 21 = 3*u, -6*m + 2*m + 37 = 5*u. Let k be ((-5)\/(u\/(-2)))\/((-2)\/(-3)). Are 4 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-10)\/20)\/((-1)\/(12\/(-2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjqttjf. What is prob of sequence qk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -891.6 + 892. Let x = 1 + -6. What is the biggest value in -21, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 0, 25 in decreasing order.\nAnswer: 25, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 7. Suppose a + 4*y = x, y - 1 = -a + 12. What is the tens digit of (-1)\/(-2) + 855\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-76) + (-9559)\/(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/42 + 80*w**3\/21 + 156*w**2\/7 - 1537*w. Factor j(x).\nAnswer: 2*(x + 2)*(x + 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 2. Let i be a(13). Suppose 1 = 2*m - i. Let h be 81\/m*160\/3. Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/105 + -58\/21. Which is the fourth smallest value? (a) 2 (b) 63 (c) r (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 r, and 1 x when four letters picked without replacement from rwxrz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 49666, -3, 21 in descending order.\nAnswer: 49666, 21, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 11 - 9*l + 10*l.\nAnswer: l + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + 53 + -34 + 19\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:51 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 9*k + 4617. Suppose r = -5*g - r + 7681, k = g - r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*2\/(-16)*83\/((-19090)\/368)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 11*c**3\/6 - 10*c**2 - 3*c. Let p be z(-8). Solve 4 = 3*w - p*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/7 - (-1239)\/(-14)*(-4)\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/7 (b) -1 (c) -8 (d) -4\/7 (e) 7 (f) 0.1 (g) 11541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**3\/9 - 2*h**2\/3 - 2*h\/3 + 7. Factor x(y).\nAnswer: -2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 117\/4*a + 119\/2 - 1\/4*a**2 = 0.\nAnswer: -2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010690055 rounded to 5 dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from mmtqmtppmtt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21279 + 21275. What is the smallest value in z, 0.08, -5, -1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26790378 at least as big as 26790377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 271472.5mg in tonnes?\nAnswer: 0.0002714725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1693a0b (base 15) in base 9?\nAnswer: -33787882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 28 = 3*y, 0 = -x - 2*y - y - 8. What is the smallest value in x, -3, -131\/4?\nAnswer: -131\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2584010*f - 294 = 2583961*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3860340.\nAnswer: 2, 3, 5, 11, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4\/3 - 4318*n**3\/3 - 15887*n**2 + 60606*n = 0?\nAnswer: -14, 0, 3, 4329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1531867*d**4*q**2 + 446125*d*q**2 - 2*d*q wrt d?\nAnswer: -18382404*d**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (5 + sqrt(112)*-1 + sqrt(112))**2 - (-1 + sqrt(112))*-3*-6)*-1.\nAnswer: -43 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(33)\/(sqrt(147) + sqrt(147) + sqrt(147) + (sqrt(147)*-2 + sqrt(147) - sqrt(147)))*-6 - (sqrt(176)*-1 + 1 + sqrt(1100) + -5)).\nAnswer: -144*sqrt(11)\/7 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94342970 divided by -535?\nAnswer: -176342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 0, -4*f - 3*t + 428 = -0*t. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**2 + 6. Let o(d) = d**2 - 1. Let a(h) = -6*o(h) - q(h). Let b(c) = 9 - 70*c - 53 + 44. Give b(a(m)).\nAnswer: -140*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211348 is divided by 105664?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 - 4*r + 36. Calculate h(-8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 1900, 4258, 7560, 11806?\nAnswer: 16996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*q = 2*q + 25, -5*g + 25 = -3*q. Let a be 13\/2 - (-21)\/(-42). Suppose -g*k + a*z = z - 255, -2*z - 157 = -3*k. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from xmgxmrexggmgzegzgmgg.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*s - 5*s - 10*s + 3969 - 4*s to the form u*s + m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284487281 + -0.3?\nAnswer: 1284487280.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53306 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1374.7 times 30\nAnswer: 41241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h**3 + 7 + 13*h**3 - 9*h**4 + 102*h + 10*h**3 - 6 + 5*h**2 + 7*h**4 to x*h**3 + d*h**2 + a*h + z*h**4 + u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) - 74\/14. Let t = 0.3 - 12.3. Let q = t - -12. Which is the nearest to q? (a) 0.3 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 2. Let r(j) be the third derivative of j**5\/60 - 3*j**4\/8 + 2*j**3\/3 - 826*j**2. Determine 5*q(g) + 3*r(g).\nAnswer: 3*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*a = -15, 0 = w - 6*w - 3*a - 10. Let v(c) be the third derivative of c**5\/30 + 7*c**4\/24 - c**3\/3 - c**2 + 4*c. Give v(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 - 128. Suppose -2 = -2*w + n - r, 0 = -5*n + 15. Let q = 2 - -1. Solve -w*c - 1 = -q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Let h = -19 + 19.3. Which is the second smallest value? (a) t (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217002 is divided by 72280?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357436 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -19 - -7 - -3) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59809 - 5168 = -4*m - v, 3*v = 4*m - 64941. What are the prime factors of m?\nAnswer: 2, 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - 1310?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6696200 to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {y: 4, m: 1, a: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 110*c**2 + 317*c + 371. Is j(102) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.114 + 3.114. What is the nearest to -0.2 in -2, -1, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -2468, 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21071 + 21073. Sort -9\/13, 2\/13, d, 0.07.\nAnswer: -9\/13, 0.07, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 6*i**3 + (3 - 3 + i**3)*(-3 + 5 + 0) - 9*i**3 + 2053 - 2048 - 3*i + 10*i + i**3 - 4*i**3 + i**3 to o*i + w*i**3 + x*i**2 + b and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-10))\/((-54)\/45). Suppose 12 = -5*r + r. Let o be r - (-1)\/(-2 - -3). Which is the smallest value? (a) -0.2 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 16*s + 51. Suppose -3*v - 5*v + 96 = 0. Let a be p(v). What is the greatest common divisor of a and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r + 3 - 3 - 84*r**2 + 751*r**2.\nAnswer: 667*r**2 - 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -9. Suppose -b - 5*d = -4, -2*b - 12 = -5*b - j*d. What is the second derivative of 4*s - 2*s**b + s + 0*s**2 + 0*s**2 wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 13155.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 46\/6. Suppose 2*h - 13 = 7*r - 2*r, 5*h + 5*r = 15. Suppose -10*l + 42 = -h*l. Calculate the greatest common factor of l and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(240)*-1)\/sqrt(5) + (sqrt(162)\/(sqrt(6) - 2*sqrt(6)) - sqrt(27))\/sqrt(9)*-1)**2.\nAnswer: 20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100110001101010100001 (base 2) to base 12\nAnswer: -504655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272.6523 + -269.03. Let s = g + -3.56. Round s to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75215 - 75214.864996. What is j rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*c + x, 5*c + 11 - 1 = -5*x. Suppose 9 = h - c*h. What is the units digit of (-4)\/12 + (-39)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u - 465. What is v(38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59, -2, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/60 + 7*o**4\/24 + 5*o**3\/3 + 3*o**2. What is the tens digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 107. Is 1399 + 0\/(-2 - n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 29 + 85 = 15*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -67*h + 4. Is p(-1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279624 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -9. Calculate the least common multiple of (-4)\/(-5)*(-9 + l + 32) and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 5, n: 3}. What is prob of picking 2 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/7 + 46324*n\/7 - 138990\/7 = 0.\nAnswer: -23165, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10122396 and 4?\nAnswer: 10122396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + 3*(-12)\/9. Let m be (-36)\/y - 4\/(-10). Let h be 2*(-3)\/m + 0. Solve 2 = i - h*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j)*(0 + 4 - 1)*(2*j**3 + j**3 + j**3).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478 divided by 1041.\nAnswer: -478\/1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*m + 152. Let n be -3*(-6)\/m + 1. Is n at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, -1\/5, -6, 4\/73, 123 in descending order.\nAnswer: 123, 5, 1\/4, 4\/73, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1712*h**3 - h**2 - h. Let p be w(-1). Let r = p - -2773. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3 + 17*h**2 - 19*h**2 + 2*h + h**2. Calculate c(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -915310547 + 915311514.0000457. Let o = 967 - u. What is o rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -2?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:45 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -232\/383 less than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117 - -0.04524?\nAnswer: -0.07176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 869.6 + -870. Sort 16, 12, s in decreasing order.\nAnswer: 16, 12, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:11 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24931872 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, h: 5}. Give prob of picking 2 h.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31996924 to the power of 1\/2, to the nearest integer?\nAnswer: 5657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 11:41 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 18 (c) -7\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 + -1102?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -7*m**5\/5 - 5*m + 6. What is the derivative of c(d) wrt d?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from nkkzmhkgkhzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 18337?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -364849 times 2\nAnswer: -729698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2827*g*s*u**2 - 5*g*u - 3*g - s*u**2 - 12*s*u + 2*s - u wrt u?\nAnswer: 5654*g*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 8. Suppose 5*u = 20 + y. Suppose u*g - 75 = 2*g. Calculate the remainder when 42 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 9*h**2 + h - 3. Let s be u(4). Calculate the common denominator of (-6559)\/8400*-5 - (-12)\/s and 7\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11096790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + 1 + (-1)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 5 = -u + 2*h, 2*u = 5*h + 31. Let y be 4 - (u + (-2 - 4)). Differentiate -24*w**2 + 38*w**2 - y - 4 with respect to w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-6)\/(-5 + 8)) + -7. Let x be (-25)\/15 + 10\/15. Sort 5, 2, m, x in increasing order.\nAnswer: m, x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700316 divided by 1?\nAnswer: -700316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 13. Suppose 0*o = -l*o + 288. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -969.3145 to the nearest ten.\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 6. Let x = 11 + l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13 - p**2 - 13*p + 11*p - 15 + 21*p. Is 50 a factor of t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 5, -282*i + 567*i - 284*i + 11*b = -15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5476962, -5476964, -5476966?\nAnswer: -5476968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 196 = 33*k + 63*k + 1640 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*h**2 + 891*h**2 + 237*h**2.\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 6*w)*(1 - 6 + 3 + 3 - 6 - 7 + 1 + 4 - 3 + (4 - 4 + 1)*(3 - 2 + 1) + 0 + 2 - 7) as x + a*w and give a.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3947 - -3880. Is u less than -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*g*o**2 - 137*g*o + 32002515*g - 7*o**2 - 62*o wrt o?\nAnswer: -106*g*o - 137*g - 14*o - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -5*k - 3*l, 421*l = 426*l + 5 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*l - 16, 5*c + 2*l - 17427 + 17396 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1109 = -0*r + r, 5*r - 1105 = -u. Suppose -38*b + u = -b. What is the remainder when b is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 15 = -a, 4*a + 4 + 16 = -4*f. Find the first derivative of -39*r**2 - 43*r**2 + 194 + 62*r**2 + a + 3*r - 17 wrt r.\nAnswer: -40*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/6 + 4*j**3 + 11*j**2 - 1422*j + 1. Find d such that z(d) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194326 is divided by 78.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481 = 24*p + 337 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -993, -975, -949, -915, -873?\n\"Answer: 4*b**2 + 6*b - 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72878 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24461.5108 rounded to the nearest 10?\nAnswer: -24460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -203\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12815a - 3?\nAnswer: 128157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 + 1371*n**2 - 21802554*n = 0 for n.\nAnswer: -2934, 0, 2477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 3*c**4 - 3*c**3 + (-c**3 + c**3 - 2*c**3)*(2223 - 4440 + 2222 - 73*c).\nAnswer: 149*c**4 - 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - -9 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**4 + m**3 + m**2 - m. Let d(h) = -636*h**4 + 6*h**3 + 6*h**2 - 409*h. Let r(q) = -d(q) + 6*w(q). What is the second derivative of r(i) wrt i?\nAnswer: 7776*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -81, 18 in decreasing order.\nAnswer: 18, 0, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/21 and (-2)\/(-2) + 23\/((-5175)\/258).\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/4 + 47*i**3\/4 - 75*i**2\/2 + i + 50 = 0.\nAnswer: -50, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 - g - 1. Let c(j) = -14*j**3 + 6*j**2 + 7*j + 6. Let t(h) = c(h) + 6*v(h). What is the second derivative of t(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700886192.\nAnswer: 2, 31, 1413077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (550\/(-440))\/(5*(-2)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.661092 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -108. Suppose -8 + 10*w - 12*w**2 - 2*w**j + 14*w**2 - 2*w**2 = 0. What is w?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = b - 6*b. Suppose -b = d - 4*l, -d = 3*d + 5*l - 27. Sort d, 2\/15, -0.5 in descending order.\nAnswer: d, 2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:49 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*h + 612 = -189*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let n(y) = y**3 - y**2 + 7*y - 6. Let v be n(1). What is the closest to q in 0.5, v, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3 + 135918*l - 45305*l - 45304*l - 45306*l + 3. Let p(k) be the third derivative of -7*k**5\/12 - k**2. Calculate r(p(d)).\nAnswer: -105*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 37*f - 307. Give o(-44).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 7*v**5\/12 + v**4\/8 - v**3\/2 - 44*v**2. What is the tens digit of g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 64, 112, 160, 208, 256?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:20 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 543 - 1558*p**3 + 543 + 3*p - 12*p.\nAnswer: -1558*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -0.71, -2.\nAnswer: -4, -3, -2, -0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2602 = -5*x - 4*n, 0*x + 4*n = x + 530. Let i = -216 - x. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8938.96167 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 18 = -3*c, -5*c + 5*s = -6*c + 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*3\/(-36) + 5\/3. What is the third derivative of 14*q**2 - 9*q**2 - 10*q**2 + 35*q**o + 27*q**4 wrt q?\nAnswer: 648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 0*d + 648 = 0. Which is bigger: d or 79?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -27*p - 416. Calculate the remainder when 212 is divided by r(-17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*t + 13 = 17, -3*p - 2*t = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkjxjxxxxkxkx. What is prob of picking 4 x?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.007 in -16, -8760, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38645046 divided by -34443\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*z. Let p = -15 - -26. Suppose -q - t = 1, 3*q = 6*t - t - p. Which is the third biggest value? (a) q (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*o**4 + 238*o**3 - 32*o - 6045697 with respect to o.\nAnswer: -144*o**3 + 714*o**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:33 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/15*5\/(-2)*42. Put 5, 0, o, -5 in decreasing order.\nAnswer: o, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 68.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 2*g**2 - 2*g - 3*g - 1. Let i be v(-1). Suppose d = 2*x - 3, -i*d - 15 = -8*d. Solve x*r - 4*m + 19 = -2*m, -r - 7 = -m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -c - 1, -3*c = -5*s - 9. Is (-56)\/(-1) - (c - 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -1*sqrt(136) - sqrt(136))\/sqrt(8)*-2)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 16 = 8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(12\/476))\/2*(-252)\/441?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12858, -53403, -120976, -215571, -337182, -485803, -661428?\n\"Answer: j**3 - 13520*j**2 + 8*j + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1905 and 1\/143805.\nAnswer: 18263235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 417 = 4*i, 2*i = -m - m + 186. Let b be (0 - (-23)\/(-7)) + 28\/i. Let v = -9 + 5. Is b < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuxuuonoouoyooyun. Give prob of picking 1 o, 1 x, 1 u, and 1 y.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - 28\/(20\/(-5)). Suppose 3*m - 80 = q. Let i = m - -31. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - x - 150 = 0, 162 = -0*o + o + 3*x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/8 - 745*s**3\/4 - 13491*s**2\/8 = 0. Calculate s.\nAnswer: -9, 0, 1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 2*k**2 + 2. Let c be f(2). Let u be c\/6 + (-6)\/18. Solve 5*z - 2*z = -u*v + 11, 9 = z + 4*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 + s - 1. Suppose 0*w - 2 = -2*w + 4*r, -4*w + 3*r + 4 = 0. Give u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 530, -1\/10.\nAnswer: -1\/10, 0, 0.4, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1\/5 (c) 0.4 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 14, 31, 64, 119, 202, 319, 476?\n\"Answer: r**3 - r**2 + 3*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Let o be p\/(-2 + 6 + -2). Find d, given that -2 + 3*d**5 + o + 20*d**3 - 20*d**2 - d**5 + 10*d - 10*d**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104, 37, -200, -607, -1184?\n\"Answer: -85*b**2 + 188*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15800 is divided by 71.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -314 (b) 1\/6 (c) 17\/10 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + -0.2. Let m = -2473\/930 - -721\/310. What is the nearest to 1\/4 in m, p, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puuyuup. What is prob of picking 1 y and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/47, 2\/11, 0.3, 5, -24, 4, 3\/4?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 646736167 by -341.\nAnswer: -1896587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*m + 1, -m + 5*a = -22 + 1. Suppose -m = -x - v, 5*x + 5*v = v + 3. Which is smaller: x or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1338 - 1313. Let f(h) = 70*h + 1. What is the remainder when f(1) is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b - 1. Let w(a) = -2*a**2 - 5*a - 18. Let i(m) = m**2 - 2*m - 2. Let g(z) = 6*i(z) - w(z). Calculate 2*g(k) + 14*h(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -n - 21. Let q be n*((-7)\/(-2))\/7. Let k = q + 10. Solve -o - 2*p = -0*p + 7, k*o - 19 = 2*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 + (-83 - -73)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 622, 2519, 5674, 10081, 15734, 22627, 30754, 40109?\n\"Answer: -y**3 + 635*y**2 - y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -22 - 20 - (2 + -71).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224 - 30. Suppose -76 - m = -10*z. Suppose 3*s = 3*p + 24, -1 - z = -s + 5*p. Solve s*u = -3*x + 2*x + 11, 25 = 5*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -25. What is the closest to -2\/5 in 3, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**7\/378 - b**6\/135 + b**5\/180 + 2*b - 17. Find r such that o(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 7*k**2 + 6*k + 2. Let c be z(-6). Solve -c*j - 2 = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24408 divided by -2712.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6074*m**3 + 4 - 2038*m**3 - 1927*m**3 - 1929*m**3 - 4.\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/3*1*(-228)\/(-209)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27.3*0.2\nAnswer: -5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -167*x + 8706. Give q(52).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/4*(38 + -4). Let r = c - 190. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + -7 - (52 + -61) - -18.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/5)\/(-72))\/((-2)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 0.162?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -228*v**2 - 52*v**2 + 118*v**2 + 5*v - 5*v. Let s(r) = -r**2. Determine s(k(m)).\nAnswer: -26244*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 - -121. Suppose -3*k + 4*y = -50, -11 + r = 2*k - 3*y. Suppose -2*n + k*n - 24 = 0. Solve 2 = -n*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/15 - 3*w**2. Suppose 3*b + 2*n + 26 = 0, 25*b - 5*n + 10 = 20*b. Let q(y) = y**2. Calculate b*x(g) + 26*q(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((1\/20)\/(8\/96)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -4\/3, -1 in descending order.\nAnswer: 33, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 6*w - 3*w - 132*w**2 - 217*w**2.\nAnswer: w**3 - 349*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451073931 divided by -150357977.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/43)*(g**(-1\/20)*g)\/g)\/(g**(3\/17)\/g*g\/(g**(1\/2)\/g)))**(-2\/79) assuming g is positive.\nAnswer: g**(11301\/577490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10885720 - 0.0558\nAnswer: 10885719.9442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*w = -26, 682*x - w + 10 = 681*x. Let q(t) = 16*t + 58. Calculate q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5 - 29. Suppose 5*g = -2*h + 7*h, 4*g + 2*h = -p. Sort g, 1, 0 in decreasing order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2239 + -2236. Let a(q) = q - 4. Give a(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3907656?\nAnswer: 2, 3, 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -75353, 0.2, 118?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -560 + 27. Suppose 8*f - o = 87. Solve f = -3*n + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30879294 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + -5 + 1 - 2. Let f = c - -12. Solve -f*x - 6 = s, x = 2*s - 2*x - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + n. Suppose -5*f - x = 6 - 21, 0 = -3*f - 4*x + 26. Let u(a) = 57*a**3 + 5*a + a - 4*a**f - 56*a**3. Give -4*l(m) + u(m).\nAnswer: m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/3)\/(6 - (-464)\/(-72)). List the prime factors of z + 131 - (-2)\/(4\/(-2)).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhlhgjx. What is prob of sequence hgh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**27\/n*n**(-10\/11))\/(n**(4\/9)\/((n\/n**(3\/8))\/n)))**(2\/115) assuming n is positive.\nAnswer: n**(19223\/45540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268037537\/20 - 13406012. Let x = i - -4141. Calculate the common denominator of (45\/(-42))\/(-5) - 4 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l + 64. Let a = -231 - -377. Suppose -4*x - a = -530. What is the highest common divisor of l and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 286 = 68. Let x = 64 + b. Suppose 0 = -0*t + 2*t - 14. Solve t*w + x*m + 20 = 3*w, -4*w - 20 = m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -49, -59, -67?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 655*t - 613. Let o(i) = -i + 4. Let y(d) = -6*o(d) + s(d). What is the first derivative of y(h) wrt h?\nAnswer: 661","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015977.9 less than -10514?\nAnswer: -1026491.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 2:33 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 1\/4*o**5 + 0*o**2 + 1\/10*o**6 + 7\/36*o**4 + 1\/18*o**3 - 2*o + 0. Find w, given that v(w) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 13*y**2 - 226*y - 2860. Calculate o(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 7}. What is prob of picking 2 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12099\/107 >= -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0544 * 43\nAnswer: -2.3392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q**4 - 4*q**3 + 10*q**2 + 12*q. Let j(v) = v**4 - v**2 - v. Let d(f) = -12*j(f) - m(f). Factor d(i).\nAnswer: 2*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 254407784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6361 divided by 2?\nAnswer: 6361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/30 - l**4\/2 - 2*l**3\/3 - 22*l**2. Let p be i(-6). What is the second smallest value in 4, p, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 900 = -2*y. Let c(x) = 300 - y + 4*x**2. Let r(m) = -3*m**2. Determine c(r(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159524, -159485, -159446, -159407, -159368, -159329?\nAnswer: -159290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.4 (c) -0.2 (d) -4 (e) 52 (f) -21 (g) 21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7827*z**3 + 3349*z**3 - 4 + 3*z - 39*z**2 + 3*z**2 + 2939*z**3 wrt z.\nAnswer: -9234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10\/3 (b) 2.57 (c) -16.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 76*o + 969. Calculate h(23).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/6*(-414)\/(-345). Suppose -33*z + l*z = -4692. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -76*j**2 + 2363*j - 259. What is y(31)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104571339757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*b = -37, -b - 7 = 2*i - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 15. Let b = s + -19. Let k be 105 - 106 - (2\/9 + 10\/(-18)). Is b < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.241 - -0.301. Let b be 2\/(-6) - (-34)\/66. Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.43 and -0.0198?\nAnswer: 1.4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1981 + -3993. Let p = k + 1304. Is ((-4)\/12)\/(4\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 7. Let i be l(4). Suppose 5*v - i = 2. What is the first derivative of 1 + 0 + 5 + v*n**2 wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -0.4, 0, 5.62, -2\/3, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2158685 divided by -167\nAnswer: 2158685\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 2\/9 (b) 5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110000 (base 2) to base 3\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 160 = 6*g. Let b be 2\/5 + (-44)\/g. Let j = -2.95 - 0.05. What is the nearest to -1 in b, 3, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 18*b**2 - 34*b - 12. Determine j(20).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 775528*b**2. Let x(m) = 31*m. Give g(x(i)).\nAnswer: 745282408*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.75 and 4605.\nAnswer: 54108.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -15 + 85723*l**2 - 28571*l**2 + 0*l - 28575*l**2 - l - 20 - 28576*l**2. Let i be 4\/(-14) + 44\/7. What is b(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(-2*1\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-57480)\/(-66) - (-1)\/11) + -2. Suppose 2*a - l = n, a - 452 = -0*a + 4*l. Calculate the greatest common divisor of a and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*i = 0, -2*s - s + 4*i = -20. Suppose -r + 15 = s*r. Solve -d = 2*c - 4 + 3, r*d - 3 = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1929.534403 to the nearest 10.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3238*s + 14. Let v(b) = -b**2. Calculate v(a(m)).\nAnswer: -10484644*m**2 + 90664*m - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**4 + 6*l**4 - 2*l**4 + (-3*l**2 - 2*l**3 + 3*l**2)*(2*l - 4 + 4) + 3*l**4 - 3*l**4 + l**4 - 6*l**4 + 9*l**2 - 9*l**2.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.963979 milligrams?\nAnswer: 0.000004963979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -10.72563?\nAnswer: 4.290252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369640055.\nAnswer: 5, 827, 89393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87578248 or 87578250?\nAnswer: 87578248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:38 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -2432\/17. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + 2.8. Which is the nearest to -2\/5? (a) -0.2 (b) -21 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2. Let a be -6 + 21 - (1 - -1). Let o(l) = 4*l**2 + 8*l**2 - a*l**2 + 2*l**2. What is -6*n(t) - 4*o(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 1. Let y = -12 + -2. What are the prime factors of q(y)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/90 + f**4\/6 - 8*f**3\/9 + 114*f**2. Solve x(s) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58718)\/(-2669)*-68*2\/44?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 5022?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, q: 13}. Give prob of sequence qqaa.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2175*w + 12584 = 9995*w - 3056 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 22. Which is bigger: q or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -17 - (-2 - -10)\/(-4). Let v = z + 128. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11237, -11232, -11225, -11216, -11205?\n\"Answer: a**2 + 2*a - 11240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*s**3 - 2*s + 11*s**4 + 6*s**4 - 26*s**4 + 10*s**4 - 2*s**2 in the form x*s**3 + y*s**4 + t*s**2 + q + m*s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1895 - 1887. Sort -2, s, 2\/7 in descending order.\nAnswer: s, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6806.28 (b) 0.2 (c) 2\/7 (d) 1\/4 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 25850, 4 in descending order.\nAnswer: 25850, 15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*r - 57111 + 18963 = 39*r for r.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 4*d + 1. Let q be y(-4). Let p be (-496)\/(-20) - 1\/(-5). Let u = p + -18. What is the highest common factor of q and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-4)*s)\/s)\/((s\/s**(-3))\/s)*(s**(-10))**(2\/97))**37 assuming s is positive.\nAnswer: s**(-22274\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 11:24 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9329*d**2 - 16*d - 40?\nAnswer: -18658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5*s = -4*j - 37, 3*j - 5*s + 34 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -2, -4, 0, 4, 156, -86 in ascending order.\nAnswer: -86, -4, -2, 0, 4, 51, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 17*r - 37. Let z be i(14). Solve 7*o - 2*o = z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnt when three letters picked without replacement from {n: 5, t: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17 + 2 = 0. Suppose 4*u + p*u - 35 = 0. What is the remainder when 6 is divided by (-1)\/2*(-20)\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0. Let v be 3 + 0 + (-3 - 20). Let m be (3 - 3*v\/(-18))*9. Which is the closest to 0.3? (a) n (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15992275 and 975?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23950559 + -0.2395. What is t rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22838 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -17 - (-40 + 78 + -20 - 28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:53 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 12. Let j = -3.43 + -10.67. Let a = -14 - j. Do g and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*u - 4 = 9, -3*w + 9 = -3*u. Solve l - w = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5 + 28*b**4 + 8*b**3 - 256*b**2 - 384*b = 0. What is b?\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204842 = 21*t - 337462. Suppose 4*i - t = -28*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 8*v + 400. Calculate the lowest common multiple of v and ((-240)\/(-300))\/((-1)\/(-40)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 4. Let n(l) = 12*l**2 - 44*l**2 + 13*l**2 + 17*l**2. Give c(n(i)).\nAnswer: -4*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.067*507.1.\nAnswer: -33.9757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + -105.1. Let j = 2.1 + a. Sort 5, 1\/2, j in descending order.\nAnswer: 5, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 365*h - 1467. What is d(4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 587136 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1924 * 0.245\nAnswer: -471.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m + 96. Let p = -3 - -5. What is the remainder when (-6)\/4*(-64)\/m is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928202?\nAnswer: 2, 3, 321367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 - (8 - (48 - 1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p + 5*y + 14, 0 = -2*p + y + 27. Suppose 4*b - 2*b - 6 = 0, 4*j + p = 5*b. Let n be (j - 14\/18) + (-52202)\/9. Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 14*i + 2 + 34*i**3 - 4 - 70*i**3 - 71*i**3.\nAnswer: -107*i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61353\/(-490824)*-16*(-86)\/(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1629*s - 102 = -1632*s. Calculate the greatest common divisor of 10 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3\/3 - 3998212*q**2\/3 + 2665500*q + 19991100 = 0. What is q?\nAnswer: -999555, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3959096 and 2584?\nAnswer: 75222824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvuvuuucueeue. What is prob of picking 1 v, 1 u, and 1 e?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 20*f - 21*f + 4 = 5*f, 0 = 9*m - f + 44 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 497987490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2. Let c(v) = v**2 + v - 1. Let r(b) = 2*b - 2. Let x(d) = 2*c(d) - r(d). Give j(x(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/40)\/(1\/5). Factor 14*u - 19*u**3 + 9*u**3 + 5 - m*u - 5*u**4.\nAnswer: -5*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 44336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*s**2 - 6433*s + 12856*s - 6436*s + 2 as r*s**2 + d*s + o and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - u - 29 = 54, 3*u - 103 = -4*k. Suppose 0 = 3*n + 3*j - 102, -5*j = -n - 3*j + k. What is the smallest common multiple of n and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n + 3. Let z = 4 - -5. Let c be j(z). Let o = 293 - c. What is o rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 941*p - 136 = 958*p. Suppose 0*l - 196 = 2*l. Let f be (p\/10)\/(l\/280). Which is greater: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18803 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: Two letters picked without replacement from {s: 2, h: 1, o: 1}. Give prob of picking 1 o and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200166 - 200166.124877. Let i = 23 - 23.125. Let h = i - s. Round h to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16012.\nAnswer: 2, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -297, 4\/47, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135658115.\nAnswer: 5, 27131623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 616512?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034637316 to the power of 1\/2, to the nearest integer?\nAnswer: 32166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101011011101 + 100110001011?\nAnswer: -10101000101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 26*i**3 + 7*i**2 + 57. Let c(m) = -m**3 - m**2 - 3. Let t(g) = -14*c(g) - 2*x(g). What is the first derivative of t(h) wrt h?\nAnswer: -114*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 53*y + 13. Let u be l(-10). Let g = -330 - u. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let x = 158 - 154. Is 131 + (-2 + x - s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -v + 5*u, v + 92 = 5*v + 4*u. Let p be (v\/(-9) + 12\/(-36))\/(-3). Sort -12, p, -2\/3, 2.\nAnswer: -12, -2\/3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*j - 6. Let d = j + 0. Suppose l = 2 + d. What is the remainder when 13 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n + 3. Let y(w) = 7*w - 2. Let u = 18 + -13. Let d be (-3)\/6 + 18\/4. What is d*r(k) + u*y(k)?\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13680 and -68408.\nAnswer: 935821440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 2}. What is prob of sequence tt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -73. Suppose 2*i + 15 = v*i. Solve l + 0*u = -4*u + 8, -3*u + 23 = i*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -76.2.\nAnswer: -76.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 8804 = -574. Let v = -14065\/9 - u. Let -8\/9 + 4\/3*b**3 + 8\/3*b - 26\/9*b**2 - v*b**4 = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -0.03, 930, -1\/3 in descending order.\nAnswer: 930, 4, 2, -0.03, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1231*o = -1254*o + 2622. What is the remainder when 2961 is divided by o?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(153)*-1 + -5 - (sqrt(153) + sqrt(153)*-1*6 + (1 + sqrt(153))*-3))**2 + 3)*-1.\nAnswer: -3832 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 - 66 + 72)*(-l + 4*l - 5*l) + l - 3*l + l.\nAnswer: 201*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6*d - 5. Let h be q(7). Suppose h*y + 9 = 5*y. What is the closest to 0.2 in -5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1374 - 76*p + 1374 - 3*p**2)*(2*p - 2*p - 3*p**2) to the form v*p**2 + q*p**3 + i*p + c*p**4 + o and give q.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.572615mg in tonnes?\nAnswer: 0.000000002572615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*p + 4*p - p + (-3 + 2 - 1)*(3*p - 4*p + 0*p) - 90*p - 407*p - 110*p to the form f*p + y and give f.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 1\/7, -1, 3\/8, 4\/5, 0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1363, -60887, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, -879, 5 in ascending order.\nAnswer: -879, -127, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:58 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2244160 is divided by 335.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50192238, 50192244, 50192250, 50192256?\n\"Answer: 6*q + 50192232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 961351 divided by 56\nAnswer: 961351\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1262996, -1263002, -1263008, -1263014?\n\"Answer: -6*d - 1262990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-2090)*5*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000065109 to seven decimal places.\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (1 + -2 + -2). Let i(z) = 2*z**3 + 3*z + 2. Let x be i(4). Suppose -4*n = 5*p - 176, 5*n - y*p = 78 + x. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 290\/7*o**2 + 0 - 12*o.\nAnswer: 2*o*(o + 21)*(7*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 618\/773 + 2\/3865. Solve 2\/5*q**2 + d*q**3 + 0*q + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(-4 + sqrt(252))*3 + -1 + ((sqrt(252) + 2)*6 - sqrt(252))**2)*5.\nAnswer: 3420*sqrt(7) + 32335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - -2. Let a = m - 29.877. Let n = -0.1230146 + a. Round n to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 19 = 3. Let a be 34\/(-9) + i\/72. Let p(x) = -x**3 - 4*x**2 + 3*x - 5. Determine p(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57346 = -2*c + x, 0 = -2*c - 17*x + 19*x + 57344. What is the third derivative of -28676*q**4 - 25*q**3 + c*q**4 + 3*q**3 - 133*q**2 wrt q?\nAnswer: -48*q - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 11\/5, -3 in ascending order.\nAnswer: -5, -3, -1\/2, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 - 8*c**3 - 65*c**2\/2 - 25*c.\nAnswer: -c*(c + 1)*(c + 5)*(c + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 88*o - 1731. Give u(18).\nAnswer: 1149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -19*q + 15*q. Suppose 0 = -5*z - 0*z + 5. Let o = q - z. Put 5, -1, o in decreasing order.\nAnswer: 5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 193, 2\/3, 0.2, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -771948.442 rounded to the nearest 1000?\nAnswer: -772000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*g - 47*g = 63 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 4. Let i(d) = -d**3 + 11*d**2 - d + 11. Let p be i(11). Suppose 0 = 5*s - 5 - p. Let j(l) = -38*l - 35*l + 72*l - s. What is -c(z) + 4*j(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60332.0045 + -60315. Let q = 3 + 14. Let w = c - q. What is w rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26780 by 4.\nAnswer: -6695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -48408.\nAnswer: 48409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41118690 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3606871 (base 9) in base 14?\nAnswer: -38bdc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 66*g - 540. Let t be p(-9). Does -60 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 2*q - q. Let k(s) = 275*s**2 - 66*s - 132. Let o(j) = -21*j**2 + 5*j + 10. Let w(u) = -5*k(u) - 66*o(u). Determine w(t(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57965087 to the nearest integer?\nAnswer: 7613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*g = 98*g - 79*g - 4544. Suppose 0*q = 3*q - 144. What is the lowest common multiple of q and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r - r - r + (-21 + 33 - 15)*(3*r - 5*r + 0*r) - r + 3*r + 3*r + 3*r - 2*r - 2*r as z*r + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692996, -693016, -693050, -693098?\nAnswer: -693160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.03. Let b = u + -0.03. Let v be 3\/(-14)*2 - (34 - 34). Is b at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-14)\/(-4). Let q = 16 - 12. Suppose q*m + u = -m + 59, o*u = -2*m + 21. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/2 - 200*d**2 - 1320*d + 8640.\nAnswer: -5*(d - 4)*(d + 12)*(d + 72)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 3:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. Let l be 2\/(-9) + (-600)\/(-27). Suppose -3*m + 3*x = -y*x - l, 0 = -m - x + 10. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.8 from 10.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*15*(-49)\/(-42)*(-2)\/14.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 6. Let c(s) = -s - 2114. Calculate c(a(d)).\nAnswer: -3*d**2 - 2120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-120)\/(-18) - 6)\/(2\/66). Solve 0 = -3*x - 5*y + p - 1, 0 = -2*x + 3*y - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.35043 months in decades?\nAnswer: 0.92792025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l - 8*l + 8*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-3)*(-90)\/(-576)*-40*(-2)\/5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-26))\/(6\/(-24)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -4*n. Sort -5, n, 10, -4.\nAnswer: -5, -4, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, -0.6, -4, 18, -2\/11.\nAnswer: -4, -0.6, -0.27, -2\/11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 7 - 6)*((-g + g + 3*g)*(3 - 1 + 95*g + 11*g) + (g + 2*g - g)*(-4*g + 3*g + 0*g)) to the form c*g + n + y*g**2 and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49356*w - 49344*w - 16467636 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 16) in base 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189d3 (base 15) to base 13.\nAnswer: 2a462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 512914\nAnswer: -512926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -3\/4, -192\/109?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 5. Let n be 15\/2*4\/(-6). Calculate the least common multiple of (14\/(-6))\/((-2)\/6) and j(n).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**4\/4 + 5*k**3 + 5*k**2\/2 - 17*k. Let w be y(-10). Let x(f) = w + 2*f + 2 - 5 - 3*f. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 + 3 - 7) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + m = 3*m, -5*m = -g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.29 + -0.3. Let x = b + 0.41. Let w = -15\/2 - -7. Sort w, x, -1\/4 in descending order.\nAnswer: x, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*a + 54*a + 14. Let j be 3 + 1 - -2*2\/a. What is the highest common factor of 680 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2 + 773. Let t(m) = -2*m. Determine t(z(s)).\nAnswer: 10*s**2 - 1546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1491 to the nearest 10.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-5))\/l**(-14))**(-10) assuming l is positive.\nAnswer: l**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -333*c - 7658. Determine p(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 2. Let u be l(4). Let z = u + 5. Suppose -i - 3*i + 4 = -z*k, 5*k - 4*i = 4. What is the least common multiple of k and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*u - 7428890 - 1306795. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21762*f**3 + 2*f**2 - 8*f + 3. Let q(d) = 7254*d**3 - d**2 + 3*d - 1. Let o(n) = -8*q(n) - 3*v(n). Is o(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 - s**3 + s**2 + s. Let m = -1 - -12. What is the smallest common multiple of g(6) and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 13*k - 4. Let j be v(-12). Solve 7 = -3*x - j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -4, -6, -5, 32, 1, -2 in ascending order.\nAnswer: -6, -5, -4, -2, 1, 32, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -22 + 11 - (-11 + -5)) + -9 - 53\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 239779 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 389389727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219933, -439867, -659805, -879747, -1099693, -1319643?\nAnswer: -1539597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 3 - q - q - 2*q**2)*(-4*q - 2 + 2*q + 3*q).\nAnswer: -2*q**3 + 7*q**2 - 3*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, 1.2, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4128 and 246992.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 7. Let k be y(-7). Let h be 30\/75*(k - 40). Let q be (h\/(-30))\/(4\/(-10))*-3. Solve -2*o + 0*o = -q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*3*2\/9. Suppose 2*s = -4*r + j, -r = -s + 2*r + 11. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1221887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:37 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 503 + -504. Which is bigger: n or -17\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/6)\/((-6)\/28). Suppose 16 = 4*h + 2*g, 4*g + 16 - 30 = h. Solve -3*w = -h - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 + 0)*(-2)\/4. Suppose b*d + 0*d - 20 = 0. Let i(o) = o**3 + 4*o**2 - 6*o + 2. Let f be i(-5). Solve -3*g - 4 = -d*s, -3*g = 4*s - f*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26166)\/(-24) + 14\/8?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/(4*1\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1913*l**3 + 1915*l**3 + 2*l + 174*l**2 - 4*l + 0*l as w*l**3 + k + r*l + d*l**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -3003 and -3000 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.00994752 + -790500\nAnswer: -790500.00994752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 5. Let s(z) = -17*z - 9. Let a(d) = -4*s(d) - 10*v(d). List the prime factors of a(-7).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*((sqrt(396) + -1)**2 + sqrt(396)).\nAnswer: -24*sqrt(11) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -161208 divided by -4\nAnswer: 40302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9\/(w*w\/(w\/(w**11\/w))))\/(w**3)**(23\/2) assuming w is positive.\nAnswer: w**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*o + 39 + 24 + 58. Let v(x) = x - 1. Let m(i) = -10*i + 8. Calculate o*m(n) + 6*v(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 0.1. Let t = 7.4 + u. Let i = 5.8 - t. Which is the closest to i? (a) 0 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17*g - 2. What is the remainder when a(-5) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14738 divided by -1586.\nAnswer: -7369\/793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 + 16\/6. Suppose m = -g + 3. Is (-2 + g + 2)*59 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -343, -344, -347, -352, -359, -368?\n\"Answer: -q**2 + 2*q - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 9. Let t be d(-18). Let n(y) = -t*y + 39*y + 12 + 4. List the prime factors of n(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 i when three letters picked without replacement from maiiiioioikaoa.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10*v**(1\/2) assuming v is positive.\nAnswer: v**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -95860 * -0.05\nAnswer: 4793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58\/4651 in 1, 5, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*w + 21*w**3 + 1 + 16*w**3 + 17*w**3 - 56*w**3 - 1.\nAnswer: -2*w**3 - 104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 895934404 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 401 = -403. Put m, -99, -2 in decreasing order.\nAnswer: m, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008416 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80628?\nAnswer: 2, 3, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2 + 29\/(-58). Factor -2*q**p + q**3 + 4*q**3 + q**3 + 2*q - 6*q.\nAnswer: 2*q*(q - 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 3. Let m be w(4). What is the smallest common multiple of 4 and (-15)\/(-9)*m*-6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o + 4. Suppose 2*t + 105 = 7*t. What is the remainder when t is divided by w(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93496.5647 rounded to the nearest ten?\nAnswer: 93500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3457 divided by -3?\nAnswer: 3457\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484 - 21*y + 3*y + 5*y + 4*y - 482 - 4*y.\nAnswer: -13*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5\/7))\/(n*n\/(n*n\/(n\/(n\/(n*n**(-11\/6)*n)))*n))*(n*n*n*n**13)\/((n*((n*(((n\/n**(-1))\/n)\/n)\/n)\/n)\/n*n*n)\/n*n) assuming n is positive.\nAnswer: n**(677\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*((p*p**4\/p*p)\/p*p)\/p*p)\/p)\/p*p)**(1\/7))**(7\/6) assuming p is positive.\nAnswer: p**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 4. Let k = -20 + 12. Let x = 13 + k. Calculate the remainder when v(3) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -15*r + 28. Let x(m) = 5*m - 9. Let l(u) = -4*v(u) - 11*x(u). What is the units digit of l(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -2\/17, 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.20145 - 0.40145. Let x(w) = -w**3 + 4*w**2 - 4*w + 3. Let s be x(3). What is the biggest value in -3\/5, 3, s, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 - 2*d**2 - 8*d**2 + 168.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 22\/3*b + 7\/3*b**2.\nAnswer: (b + 3)*(7*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwjjjwwwjjjjj. What is prob of picking 3 j and 1 w?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284231*q**2 - 48 + 1463*q**4 + 284231*q**2 + 5*q wrt q?\nAnswer: 17556*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y**4\/4 - 18141*y**3\/2 - 56133*y**2\/4 - 9909*y\/2 = 0.\nAnswer: -1, -6\/11, 0, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/66052 and -85\/132104.\nAnswer: 132104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15634 and 88.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2324*a**2 - 35*a - 5. Let z(g) = 1446691*g**2 - 21784*g - 3112. Calculate -3112*i(l) + 5*z(l).\nAnswer: 1167*l**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12134 - 143*n - 12134.\nAnswer: -143*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:36 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/29, 14, -1\/2, -3, 111?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - -34. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 4, -104, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) 698\/7 (c) 0.5 (d) -830\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 6*b + 5. Let r(w) = -6*w**2 - 13*w + 11. Let z(x) = -13*c(x) + 6*r(x). Give z(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -4, 1\/61351, -8?\nAnswer: 1\/61351","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -832*o + 112. Let d = -56 - -51. Let g(l) = -37*l + 5. Let q(v) = d*r(v) + 112*g(v). Let a(j) = 6*j**2. Give a(q(n)).\nAnswer: 1536*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 + 5*z**2 + 21*z. Let i(n) = -3*n**3 - 3*n**2 - 14*n. Let s(m) = -8*i(m) - 5*v(m). Find the third derivative of s(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:36 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - (-2 - 2)\/(-4). Let o = -15 - u. Let l(z) = -z**2 - 3*z - 2. What is l(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/142 + -7511\/710. Is p <= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 4*c - 3*c + (-6*c + 5*c - 6*c)*(-6 + 3 + 1).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 105*p.\nAnswer: 3*p*(p - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 1, k: 4, e: 2, z: 2}. Give prob of picking 1 z, 1 e, 1 j, and 1 c.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015623388 to 7 decimal places.\nAnswer: 0.0001562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c. Let i(u) = -2*u**3 + 15*u**2 + 3*u. Determine 4*f(y) - i(y).\nAnswer: 2*y**3 - 11*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1905128059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.1, -3\/5, 3, 1.19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(1 + 0) - 0. Suppose 0 = p*c - 8, -2*u - 3*c + 14 = -u. Let w(s) = -3*s**2 - 5*s**u + 4*s**2 - 1 - s**3. Calculate w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 + 9*u + 7. Let l be q(-6). Let z be 390\/(-9) - 5\/(-15). Let g = z + l. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 18*p - 17*p. Let k be (-2 - -2) + 2 + p. Let s = k + 6. Solve 0 = -s*a + 5 + 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22190750 by 2399.\nAnswer: 9250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:42 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 66.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 4. Let g be a(3). Let q be 6 + g\/(5\/4). Are 1 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {p: 3, x: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*m - 117 = 195*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006407 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38660596 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-90)*33894\/8070.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 9. What is o(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 687099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 264.66978.\nAnswer: 267.66978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 4*o**2 - 16\/15*o**3 + 2\/15*o**4 + 0*o - 1\/150*o**5 + 0. Factor g(r).\nAnswer: -2*(r - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -4 - 1)*-1. Let h(i) = i**3 - 4*i**2 + 4*i. Let q be h(r). Solve -d = -0*d - q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9848 and -6649.\nAnswer: -65479352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 1059, 2187, 3985, 6681, 10503, 15679?\nAnswer: 22437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 823*b**3 - b**2 - 4*b wrt b.\nAnswer: 4938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -2*b**6\/21 - 4*b**5\/35 + 2*b**4\/7 + 8*b**3\/21 - 2*b**2\/7 - 4*b\/7 - 3. Factor n(s).\nAnswer: -4*(s - 1)**2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**2 - 7*m**2 + 8*m**2)*(3*m + 2 + 3*m - 5*m + (-4*m + 4*m + m)*(7 - 7 - 6)).\nAnswer: -55*m**3 + 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = -r. Suppose 0 = -6*d + r*d + 256. Suppose 4*b - d = -3*a - 2*a, a - 15 = -b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 less than 231982?\nAnswer: 231799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/11)\/((o**(2\/5)*o)\/o))\/(o**(-4)\/(o*o**(-6\/11)*o*o)))**(-29) assuming o is positive.\nAnswer: o**(-9512\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30365933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 334 - 182 + u**2 - 2*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u + 2*u)*(0 + 0 - u) - 2*u - u**2 + 2*u - 3*u**2 - u**2 + u**2 - 3 - 2*u - 4 + 6 + u**2.\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.562 + -6.062. Suppose -3*o = -2*o + 1. What is the third biggest value in a, o, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 600 = -16*f. Let z = 701\/7 + f. Let p = 2.1 - 2. Which is the smallest value? (a) z (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 7*d**4\/6 + 8*d**3\/3 + d**2 - 4*d\/3 + 11. Suppose v(w) = 0. What is w?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 - 1905 = -20*k. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/41989?\nAnswer: -5\/41989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-493*k + 125*k - 155 + 156)*((-2 + 6 - 2)*(0 + 2 - 3) + 1 + 5 - 4 + 0 + 1 - 2) as y*k + l and give y.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900) + 0)**2 + 1.\nAnswer: 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -538*k - 2149. Let v be c(-4). Sort 5, 114, v, -1.\nAnswer: -1, v, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 196, 1\/102, -335, 1?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n**3 - 19*n**3 - 6*n + 9*n.\nAnswer: 15*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**0*m**(-2\/7))**(-37))**(-45) assuming m is positive.\nAnswer: m**(19980\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 51 + x**2 + 51.\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20112126 is divided by 505?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcbzspc. Give prob of picking 1 b and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.8. Let l = 50 - 248\/5. Which is the nearest to l? (a) -1 (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028543527 rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m - 3*b - 384, m + 26 + 16 - 1 = 155*b - 154*b for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9120610*y**4 + 29*y**2 - 1853*y + 1134 wrt y.\nAnswer: -218894640*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -1. Let k = 6 + -1. Let n = -2.7 - -2.9. What is the closest to p in n, k, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 5. Let y(s) = s - 1. Let o(j) = -1. Let z(r) = 2*o(r) - y(r). What is q(h) + 6*z(h)?\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48074.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, y: 3, k: 5}. Give prob of sequence yk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + 2*q**4 + q + 0*q**2 + q**2 - 4*q**4 + q as j*q**4 + m*q**3 + r + p*q**2 + w*q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:54 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 + 117. Suppose 3*w - 20 = -d, 0 - 10 = -y*d + 2*w. Solve 4*c = -a + 5, -5*c = -a - 4*c + d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3139*n + 3141*n = -2*k + 2, k = 4*n - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let y(c) = 4*c**2 - 7*c**2 - 2*c**2 + 4*c**2. Calculate r(y(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 3648 = -3690. Let d(p) be the first derivative of 3\/2*p**l + 0*p + 28 - 4\/5*p**5 + 4\/3*p**3 - 1\/2*p**4 - 1\/6*p**6. Factor d(g).\nAnswer: -g*(g - 1)*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -451*s - 305. What are the prime factors of t(-16)?\nAnswer: 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 11*c - 6. Suppose -4*i + 128 = -0*i. Suppose 2*v = -2*v - i. Does 17 divide g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19118 and 4114?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -97*n + 39. Let q(t) = 13*t - 1. Let k(a) = 8*q(a) + w(a). What is k(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7083*c**2. Let h(d) = 167334*d**2. Determine h(z(j)).\nAnswer: 8394960871926*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z**2. Let t(q) = 7*q. What is h(t(v))?\nAnswer: 343*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -0.2, -2, 0, -190 in decreasing order.\nAnswer: 15, 1, 0, -0.2, -2, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (2\/2)\/(8\/16) - -322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1005491?\nAnswer: -100549.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 7 - (0 - -9)) + 2 - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)*m*m**(-2\/7)*m*(m**(-1\/2)*m)**48)**(11\/3) assuming m is positive.\nAnswer: m**(6248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 11) to base 15.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/5)\/((-4)\/(-20)). Let y be (-1)\/(5\/4)*-10. Let a = y - w. Solve 5*x + 6 = -3*v + 6*v, 0 = 3*x - a*v - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36.699 or -1914?\nAnswer: -1914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + 123. Let t = -165 + c. Let s(w) = 2 + w + 2 + w. Calculate s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103 in -4, 4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 16*d**2 - 51*d**3 + 48*d**3 - 15*d + 6 - 4*d**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101 - -10101100220210?\nAnswer: 10101100200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 465 (b) -2\/7 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4901870 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i - 58. Let q be s(1). Let g be 1182\/27 - 4\/(-18). Let y = q + g. Which is the fourth smallest value? (a) 5 (b) 0 (c) 0.05 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/6 + 0). Let f(w) = 29*w**3 + 6*w**2 + 6*w - 25. Is f(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -16. Suppose 4*n + 4*o - 36 = 0, 0*n = -3*n - 2*o + 25. Let f be (18\/r + 3)*(n - 0). What is the greatest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 12339?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(-30))*j*j**32\/j*j assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1737 + 1709. What is the third biggest value in 0.3, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 389.53 - 42.05. Round k to 0 decimal places.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 541969 or 541965?\nAnswer: 541965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 245 (c) 1\/4 (d) -0.3184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1462? (a) -5 (b) -2 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 4*u**2 - 2*u - 3. Let r be l(-4). Suppose 2*j - 3 = r. Suppose q - 4*x + 0 = -j, -q = 4*x - 12. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2667 divided by -2667\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/30 - t**4\/12 + t**3\/2 - t**2. Give a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1288170 and -47\/28626.\nAnswer: 1288170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -3. Is 34 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1595, -7, -2, -5, 1 in ascending order.\nAnswer: -1595, -7, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2412 divided by -268.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -4815.\nAnswer: 4799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -32\/3. Let a(z) = z**2 - 159*z + 5063. Let r be a(44). Put r, -3\/7, q in descending order.\nAnswer: r, q, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -49*u**3 - 10*u**2 + 4*u + 71. Let h be f(-6). Let k = h + -6222. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6349, 12696, 19047, 25402, 31761, 38124, 44491?\nAnswer: 50862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 292 - 773 = -20*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 247760 and 40?\nAnswer: 247760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 125, -61, -249, -439, -631, -825?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2337 = -7*b + 9920. What are the prime factors of b?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2165 divided by -11313.\nAnswer: 2165\/11313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10208*t + 10208*t + 693*t**3 + 606*t**3 + 724*t**3.\nAnswer: 2023*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + -0.31. Let t be 0*((-5)\/(-2))\/5. Which is the closest to 0.1? (a) t (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 50. Let n(f) be the first derivative of -f**4\/4 + 5*f**3\/3 - 2*f**2 - 4*f - 5. Let w be n(m). Sort w, -10, 0.5.\nAnswer: -10, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.028 + -0.247. Let g = 0.189 + x. What is the smallest value in 31, g, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - -0.21. Which is the nearest to 1? (a) -5 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2, -6*h + 2*h = f - 9. Suppose -2*r + f = -5. Solve 0 = 4*c + r + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.42 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 - 3*b**2 + 2*b**2 + (b + 0*b - 3*b)*(-b + 0*b + 2*b) + 13*b**2 + 584 - 294 - 288 to g*b + d*b**2 + u and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20 = 25. Suppose -13 = 2*x - b. Calculate the remainder when x is divided by (-1 + (-1)\/(-3))*-9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*b = -35, -5*b = -21 - 4. Let s = -15 + 17. Suppose 2 = s*j + 2*t + 2*t, -3*t - 31 = -5*j. Solve -2 = m - h*l + 2, -5*m + j*l = 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37232.8 and -1.73?\nAnswer: 64412.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1721*m**4 - 751?\nAnswer: 6884*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 49. Suppose 3*a + 2643 = -4*h, 7*a - t*a + 4410 = -5*h. Calculate the common denominator of 20\/11 and 1*(a\/33 - 2\/11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**23*j)\/(j**(-1\/7)\/j*j)*(j**16)**(-28))**(-4) assuming j is positive.\nAnswer: j**(11868\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**3 + 3*h**2 - 3*h + 3. Let i(j) = j**2 + 22*j + 60. Let a be i(-19). Let x(p) = 36*p**3 + 16*p**2 - 16*p + 16. Calculate a*x(n) - 16*u(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2299) + 0)**2 + (-2 + sqrt(2299))*-6.\nAnswer: -22*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 - 105*k**3 - 600*k**2 + 2580*k - 1872 = 0. Calculate k.\nAnswer: -26, -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 69412?\nAnswer: -277648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) -6 (b) 0 (c) -2\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 41*u**2 + 93*u + 14. Give m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3641 + 3641 - 689*q.\nAnswer: -689*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.8 and 723495.\nAnswer: 28071606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2346 and 281934?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 261? (a) 5452 (b) 4 (c) 1\/8 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 + 939*c + 2834. Give j(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -9*q - 4, -5*q = -3*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202 + 165 - 274 = -57*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 7269, 5.\nAnswer: -1\/2, 5, 7269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((276\/(-12))\/((-6)\/4))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 0*q**3 + 3*q**3)*(-q**2 - 3*q**2 + 3*q**2) - 17*q**4 - 3*q**5 + 17*q**4 + q**5 - q**5 + q**5 - 2*q**5 - 2*q + 2*q.\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + -13 - (49 - 52)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l**3 + 5745*l**2 + 356*l - 360. Give w(-359).\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 15*d + 59. Let g be v(-12). Solve -6*k - 149 = -g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 152. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000909655 rounded to 7 dps?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 29. What is the tens digit of 44 + (f - 4)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 12*b - 1. Let h be i(-12). Calculate the remainder when (81 - (h + 0))*3\/6 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/195*90\/(-12))\/(2\/(-10)*-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -11. Which is smaller: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 + 0.15. Let q = m + -0.03. Is -0.03 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 4.7. What is the closest to 2\/7 in -0.3, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x**2 + 1. Let d(q) = 8*q - 51*q + 72*q. Determine 2*d(w) + 11*y(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2635504839.\nAnswer: 3, 11, 19, 1401119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70003 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:27 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-47 + 51 - (13794\/(-180))\/(-19))*1\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, -1, 2, 5, -682.\nAnswer: -682, -17, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(8)))**2 + (sqrt(2) + 1 + sqrt(288) + 0 + sqrt(32))**2.\nAnswer: 34*sqrt(2) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(-621)*-1*1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28533, -57337, -86409, -115749, -145357, -175233, -205377?\n\"Answer: -134*x**2 - 28402*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11772843 smaller than -11772842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*x + 4*b**2*y**3 - 12*b**2 + b*x*y**3 + 9*x*y - 2*y wrt x.\nAnswer: b**2 + b*y**3 + 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9\/7, -55, 0.5, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17271 = -2424*t - 696*t - 20758 + 13069 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-49299)\/(-2) - (-14 + 475\/38). Let p = 142390419\/532 + -6803939\/28. Let f = x - p. What is the common denominator of f and -13\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10021.42*-6\nAnswer: -60128.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 191*m**2 + 271*m - 79. Determine f(-1).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/25 and -47\/135?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32470.47291 rounded to 0 decimal places?\nAnswer: -32470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = f - 11, -4*f = -2*o - 6. Suppose f*q - 1654 = -s, 5*q = 5*s - 1148 + 3228. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3911131*l**4 - 34577*l**2 + 21 wrt l.\nAnswer: 93867144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 15.0143440079.\nAnswer: 11.0143440079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2349*g + 5947*g - 1218*g)*(0 + 0 - g) + (-3 + 3 + 1)*(3*g - 3*g + g**2) in the form d*g**2 + c*g + m and give d.\nAnswer: -2379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 13*u - 16. Let x be i(11). Solve x*y - 15 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 252 = -s, 0 = g - 0*g - s - 54. Let t be (-5 - (-272)\/g)\/((-5)\/(-3)). Which is the closest to -1? (a) 1 (b) t (c) 5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -59 + 3*y + 10*y + 66 - 18*y + 218. What is the tens digit of j(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 - -256. What is the greatest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19696 + 41917\/2. Let a = -1232 + x. Calculate the common denominator of a and -79\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*30\/45*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.97685 kilograms in nanograms?\nAnswer: 70976850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 3*n**8\/8 + n**4\/12 + 25*n**3 - 156*n. Find the third derivative of t(m) wrt m.\nAnswer: 2520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 7) in base 15?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:26 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 0, 23.\nAnswer: -35, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-213785050)\/8 + 0 + 5\/20. Let y = -427770405\/16 - o. Let g = -12525 - y. Find the common denominator of 75\/14 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824 + 58448 = 21*m + 10*m. List the prime factors of m.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24779290101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12517479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -61. Put 16\/5, -0.5, r in descending order.\nAnswer: r, 16\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*q + 2130 = 155*q. Calculate the remainder when 292 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 33, 54, 73, 90, 105?\n\"Answer: -i**2 + 26*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:29 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.4699531 rounded to 1 dp?\nAnswer: 409.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6, 0*z - z + 12 = y. Let q(x) = -35 + 0*x - x + 32 + 2*x. Let d be q(z). What is the highest common divisor of d and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974519311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 5\/((-15)\/6). Suppose g + 2*g + 2*r = 509, 0 = -g - q*r + 163. Let n = 2352 + -2294. What is the remainder when g is divided by n?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -2) + 10 + -8 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5\/5 + 1839*o**4\/5 + 277578*o**3\/5 - 3422454*o**2 - 847324905*o + 18715014675 = 0 for o.\nAnswer: -245, 21, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -4. Sort s, 2, -7 in decreasing order.\nAnswer: 2, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (91\/(-21))\/(1\/3). Let n(h) = -h**2 - 11*h + 32. Let g be n(c). Calculate the highest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*c**6 + 21646*c**5*t**3 - 3*c**2*t**3 - 7*c**2*t**2 - 551095*c*t**3 wrt c.\nAnswer: 6360*c**3 + 1298760*c**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 - 10*t**2 - 13*t - 285. What are the prime factors of w(-14)?\nAnswer: 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 6. Suppose -i + 6 = 5*s, -2*i - 2 = -o. Let k(b) = b**3 + 2*b + 3. Let t = -47 + 50. Let c(p) = -p**3 - p - 1. Give s*k(a) + t*c(a).\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -45*c + 174. Solve 4*t + 4*d + 4 = 0, 5*t - 3 = 2*d + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p + 18896 = -282835 - 1602439. Is p a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 30*q - q**2 - 63*q + 33*q. Let r(d) be the third derivative of 13*d**5\/60 - 11*d**2. Calculate r(s(x)).\nAnswer: 117*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(22\/(-99))\/(20\/195)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 69520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2840*j**2*n**3 - 112*j*n**2 + 4*j*n - n**3 wrt j.\nAnswer: -5680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164186 is divided by 27344.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**4\/4 + 11*z**3\/3 + z**2 + 66*z - 148. What is the second derivative of u(h) wrt h?\nAnswer: 6*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 121, 142, 161, 178, 193, 206?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213427873469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -481*a**2*u**6 + 2*a**2*u + a**2 - 2*a*u**6 + 753*u**2 + 3 wrt u.\nAnswer: -57720*a**2*u**3 - 240*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2206*q + 50. Let g be c(2). Suppose -4*u + 966 = l, 4*l + 3*u - g = -624. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44176, 88385, 132594, 176803, 221012?\n\"Answer: 44209*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t**2 - 4. Let f be b(0). Calculate the common denominator of (-7)\/f*(-2)\/(-8) and 111\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 12. Suppose w*i - 3 = 6*i. What is the highest common divisor of i and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4 - 1964*q**3 + 154428*q**2 - 2906260*q + 2753800 = 0.\nAnswer: -562, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.57 to the nearest integer.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -200202 (base 3) in base 2?\nAnswer: -111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**6\/24 - i**5\/30 + i**4\/24 + 5*i**2\/2 + 2*i + 38. Let q(s) be the second derivative of k(s). Give q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from {k: 2, e: 4, m: 2, i: 2, t: 3, p: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-10)*-2*(7 + -2). Suppose -29 - 19 = -f*q. Let d be 6*((-18)\/(-8) + -2)*q. Solve 3*j + 0 = -d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/376*(-9)\/(-2)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20423.\nAnswer: 13, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/146966384 and 83\/112?\nAnswer: 1028764688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 4) + 1*(-6)\/8. Let m = -69\/20 + i. Suppose 0 = -5*j + 3*j. Which is the biggest value? (a) j (b) 2\/15 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 865*i**2 + 824*i**2)*(-i**2 - 2*i**2 + i**2 + (2*i**2 - i**2 + i**2)*(-2 + 0 - 1)).\nAnswer: 328*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1 + 2 - 1. Suppose 6*u + 1438 + 386 = a. Let c = u + 540. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757 - 248 - 249 - 260 - 24*f**2.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 16*a - 19. Suppose 0 = 7*b + 38 - 143. Give d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2337*j + 329*j - 6069 = 504*j - 109845 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {f: 5, x: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5315711 by -17.\nAnswer: 5315711\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51355 is divided by 17114?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/49 at least as big as -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 847076 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32599854*h - 16299916*h + 2 - 1 - 1 - 16299934*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 474 - 330. Calculate the remainder when s is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 1457?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 1.\nAnswer: -18, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -12 - 13, 0 = 4*f + 5*u + 13. Suppose 0*d + d + 222 = -w, -f*d = -5*w - 1134. Let p = 106 - w. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbbbbbblblrb. What is prob of sequence rb?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -374 divided by -34\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 47*x**2 + 1152*x + 56753. What is m(-38)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -18. Calculate the common denominator of 7\/(-2)*4\/2 and (-9 - 1)\/(6\/d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749 minus 5395.99?\nAnswer: -3646.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12031 - 11?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dygkdjkdydjdjgddj. What is prob of picking 1 j and 1 d?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 - 3*o**4 - 7*o**3 + 7*o**2 + 18*o + 8 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/36*3)\/((-2)\/(-48)). Let k(f) = f**3 - 9*f**2 + 6*f + 19. Calculate the least common multiple of 9 and k(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100495 and 429755?\nAnswer: 85521245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 23. Suppose -12 = -r + a. Solve 0 = -p - 5*n, -2*p + 3*n = 2*p - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 16 = -2*k. Let y = k + -37. Let j = 35 + y. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Suppose -o*q - 10 = 2*q. List the prime factors of 9\/6 - 1\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1763?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 158 - 278 + 120.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w - 1. Let v be u(1). Suppose -4*s = -v*s + 100. Let 0*i + 9*i - 40 - 8*i**4 + 11*i + 30*i**2 - s*i**3 + 13*i**4 = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37693 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17085638, -14 in descending order.\nAnswer: -1, -14, -17085638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, v: 1, e: 2, a: 1, b: 14}. Give prob of sequence aneb.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by 13012.\nAnswer: 73\/6506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101102 + 21002?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 0, -2\/5, -2\/7 in descending order.\nAnswer: 0, -2\/21, -2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 298 - 1978. 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 279568110 divided by -6?\nAnswer: -46594685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6734*b - 1069. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 123, 472, 1053, 1866, 2911, 4188, 5697?\n\"Answer: 116*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275357 is divided by 11402.\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, i: 2, l: 4}. What is prob of picking 1 i and 3 l?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:02 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by -17?\nAnswer: 111\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1)\/((-8)\/(-14)). Is h < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Let i be 37 + 0 - (h - 4). Suppose 2*x - i = -2*x. Solve 3*w - 2*w - s = -x, -w + 5*s - 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*j - 651*j + 1746 + 33671 - 333 = 0 for j.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/7960 or 0?\nAnswer: -11\/7960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z - 4. Suppose -2*b + 11 = -r, 4*b + 0 - 7 = -3*r. Calculate h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2424 and 41587760?\nAnswer: 124763280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1)**(3\/5))**50)**(-2\/85) assuming r is positive.\nAnswer: r**(-12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1276 - 827. Suppose 8*z = -h + 65. Is 606\/16 + (-6)\/z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18166 (base 13) to base 16.\nAnswer: -b536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 5*q**2 - q + 6. Let j be s(5). Let z be 2 + 0\/(0 + j). What is the third derivative of -5*d**6 - 2*d**z + d**6 + 2*d**6 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhn. What is prob of picking 1 n and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-4 + 4)) + (1 - (-12 + 43)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*u - 30, -x + 3*u - 3 = -0*x. Let s be 48\/(-80) - 236\/(-10). Let n = s + x. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.96 and 0.3?\nAnswer: -2.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 4. Suppose 2*p = 14 + 28. Let c = p - 12. Solve c + i = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 7}. What is prob of picking 3 n?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 + -19?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*y + 25. Suppose y*g - 2*g = 75. Solve -g = -5*q - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 477, 479, 481, 483, 485?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5+1.165\nAnswer: -3.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (57\/570)\/(3\/(-5))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 330 + -324. Let x be (-112)\/(-63) + r\/27. Solve 3*f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 7, -2 in increasing order.\nAnswer: -2, 7, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/3423)\/(((-9)\/216)\/((-19)\/(-532)))?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -13\/16*q**3 - 3\/8*q**4 + 3\/160*q**5 + 0*q**2 + 0 + 170*q. Find h, given that s(h) = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1499, 1502, 1505, 1508?\n\"Answer: 3*c + 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*b**2 + 8*b*y - 475*b - 5*y + 202032 wrt b.\nAnswer: -46*b + 8*y - 475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {c: 1, x: 1, y: 1, k: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 4\/9 (c) -32 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1919, 670, -579, -1828, -3077?\nAnswer: -4326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -4)*6\/8. Put 1, 4, i in decreasing order.\nAnswer: 4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 957 = 2*f - 39784, -101842 = -5*f + 3*y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h + 4. Let i(o) = o + 1. Let q be ((-30)\/25)\/(9\/30). Give q*i(g) + y(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = -q, 5*q + 5 = -3*r + 2*r. Let d be 0\/(-1 + 0\/(0 + q)). Suppose d*k = 8*k - 10840. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca40a (base 14) to base 2.\nAnswer: -1110111011100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 + -6. Let s(w) = 14*w - 1. Let t be s(1). Let p(q) = q**3 - 13*q**2 + q + 6. Let h be p(t). Calculate the highest common factor of h and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53615*-0.01107.\nAnswer: 593.51805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 355063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23 - 3\/(-3))\/(-2). Suppose -d*s - 4 = -13*s. Let h(r) = -r**2 - 6*r + 4. Let o be h(-6). Which is bigger: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 8 = 0, 0*j - 26 = -2*j - 5*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -1357, -4581, -10867, -21235, -36705, -58297, -87031?\nAnswer: -123927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -58. Let b(c) be the second derivative of 3\/16*c**4 + 0 - 1\/8*c**s - 3\/4*c**2 - 2*c. Suppose b(w) = 0. Calculate w.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1540673868 to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276177 is divided by 275821?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.17 - -1.17. Let z = i - -37. Let u = z - -29.0017. What is u rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2163 (base 7) to base 8\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 3*i**3 - 3*i**3)*(-i**2 + i**2 + 2*i**2) + 0*i**5 - 5*i**5 + 3*i**5 + i**5 - 5*i**5 + 3*i**5 + 10*i**5 - 343*i**2 + 10*i**5 + 361*i**2.\nAnswer: 15*i**5 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6) + -3 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(-195)*(-2)\/(-6) + (-54)\/(-40).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = a - 7, -4*k - 4*a - 2 = -2*k. Let o(d) = -8*d**3 - 10*d**3 + 12*d**2 + 19*d**k - 6*d - 12. Is o(-12) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -123220, -123314, -123472, -123694, -123980?\n\"Answer: -32*q**2 + 2*q - 123190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 11:42 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.5 (c) 12\/7 (d) -5 (e) 1.058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-12)\/l))**(-16\/5)*l**(-36)\/(l*l*l\/(((l*l**(3\/10))\/l)\/l)) assuming l is positive.\nAnswer: l**(-169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 138 - 79?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*1*-3 - (sqrt(65) + 1*2*sqrt(65)))*-5)\/((2*sqrt(320) + sqrt(320))*2 - (sqrt(320) - (sqrt(320)*-2*-3 + sqrt(320)))).\nAnswer: 5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 - 41*y**2 + 300*y**3 + 49*y**2.\nAnswer: 300*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b701 (base 14) in base 6?\nAnswer: 3051353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 17. Let p(k) = k + 16. Let i(s) = -6*n(s) - 7*p(s). Determine i(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from dbtbbtthttbbhbbhd?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 1, n: 3, u: 5, b: 1, l: 2}. Give prob of sequence bull.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znnzlnlllb. What is prob of picking 1 z and 1 l?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k - 5 = 0, 0 = -4*q - k - 341. Let c = q - -89. Solve 0*u = c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/192*2\/2*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22171.6 - -6.754715?\nAnswer: 22178.354715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 - 221. Let o(n) = n**3 - n**2 - 3*n - 1. What is the remainder when c is divided by o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1282 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(0 - 1)*0. Suppose p = -5*x + x + 8. Solve -x*u = -6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -1.8. Let b = 3 + 35. Let f = 38.5 - b. What is the closest to 0.1 in -0.2, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b + 12. Let f = -74 - -170. Calculate the highest common factor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000094 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -4)*-5 - 0. Put -4, b, -20 in descending order.\nAnswer: -4, b, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 6*m + 3*m + 2)*(6 - 3 - 2).\nAnswer: -5*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -5. Let y = w + -6. Suppose y*q = -3*q + 35. What is the remainder when 20 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6965 and 3980?\nAnswer: 27860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 4*o - 104 = 0, -o + 3*o - 4 = 18*k - 17*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131 - 129 - 13*v - 7*v + (212 - 2*v - 212)*(-1 + 0 + 3).\nAnswer: -24*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) -1.61 (c) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1.5 (b) 1.08 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 26, 2, -32, -76?\n\"Answer: -5*p**2 + p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j**2 - 1. Let y be x(2). Let p(s) = 5 + s - 4 - 1 + 7. Let f be p(y). Solve -f = 4*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52462 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 120.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + 0.4. Sort r, 1\/5, 3, 5 in decreasing order.\nAnswer: 5, 3, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(21)\/(sqrt(28)\/sqrt(4)) + (sqrt(3) + -1)*5 + -4)**2 + 4).\nAnswer: -965 + 540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3881, 3988, 4095, 4202?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 54 = 20*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = n - 2, 0 = 3*n - 3*p - 220 + 223 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -601526, -4812261, -16241416, -38498201, -75191826, -129931501, -206326436, -307985841?\nAnswer: -438518926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -1. Let k = n - 6.95. Let h = k + -0.04988. Round h to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j = -2*m - 347626 + 347556, 5*j - 105 = 3*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/15 - (-2)\/(-25)*10. Solve 2*b + 0*b - 16 = -3*h, -5*b - h + 27 = z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 565470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/((-5)\/(-375)). Let o = p + 29. Suppose -t - 2*h - 42 = -5*t, -4*t = -4*h - 48. Solve o*j = -u - u - 8, -3*j - t = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 1369 + 409. Find the common denominator of (11 + (-260)\/24)*(-618)\/c and -3\/16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -19 + 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Let x = -0.25 + 0.35. Sort 0, x, i in descending order.\nAnswer: i, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) -1 (c) -19\/5 (d) -4 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352 (base 11) to base 12.\nAnswer: 2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -377609 from -5.\nAnswer: 377604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -62+-405\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99 + 95 - f - 4*f + (0 - 2*f + 0)*(1 - 7 + 2).\nAnswer: 3*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - sqrt(1584)*-1*6) + sqrt(1584) - (((sqrt(1584) + 0)*-6)**2 + sqrt(1584)).\nAnswer: -57024 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-12)*2\/(-107). Let m = 953\/1605 - i. Which is the closest to -10? (a) m (b) -2\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240412453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 4 + (-1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 76*g**2 + 80*g - 77. Determine h(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1491 by -572062.\nAnswer: 1491\/572062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6*g + 6 = 5*g, 7*s - 3*s + g = -12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c1 + 43a3?\nAnswer: 4474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/60 - 1\/60. What is the nearest to -2\/7 in s, 0.3, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -4\/3, 4, 13, 105 in ascending order.\nAnswer: -4\/3, 4, 13, 105, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1353.17 * 0.5.\nAnswer: -676.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -79 + 56 + -49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 241*d + 11*d**2 - 241*d.\nAnswer: 11*d**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/10)\/(2\/(-5)). Let b(x) = -h + 3 + 2 - 2*x. Suppose 0*u = -u - 4. Calculate b(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -21*u - 47. Give z(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ststssjjjsttsje. Give prob of sequence sjtj.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*l - 242*l = 182 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91411859.\nAnswer: 7, 11, 1187167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 0.3, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 3 in increasing order.\nAnswer: -16, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -127219, -254586, -381953, -509320, -636687?\n\"Answer: -127367*j + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 54*y**2 + 21108 - 21108)*(y**2 - y**2 - y**2).\nAnswer: -54*y**4 + 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494168944.\nAnswer: 2, 193, 483863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -48, -80, -112, -144, -176?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/319 - 224\/(-116). Suppose r*s = -4, 2*s + 19 = 5*t - 2*t. Solve 4*j + t*n = 8, -n = 3*j + n - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11706 + -12447.7. Let x = m - -691. Let b = 51 + x. Sort -0.9, -2, b in descending order.\nAnswer: b, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 - 32*n - 231. What is v(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1007*h - 1003*h + 4993*h - 977*h - 1002*h - 1005*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 2. Give c(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62040.67 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-276)\/(-48) + (-6)\/8. Suppose -g*d - 10 = -0*d, k = 5*d + 10. Suppose 3*v + k*v = 0. Solve 7*a - 2*a + 10 = v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25 and 40.1.\nAnswer: -10.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-4) + 3)*-4. Suppose -q*v - 7 = -3*v. What is the remainder when 27 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16612 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-1)\/2 - 0. Suppose -7*k = 30*k - 111. Put o, k, -0.3 in descending order.\nAnswer: k, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*w - 273*w = 216. What is the remainder when w is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 641.6536 tonnes?\nAnswer: 641653600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 21660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42513*x + 8*x**3 + 42516*x + 0*x**3 - 127538*x - 9*x**3 + 42509*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 8 + (7 - -2) - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2442, 1\/4, -0.1, 4, -0.6, 1, 82\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53641 is divided by 996?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727 + 4*i**2 - 2*i - 134 + 0.\nAnswer: 4*i**2 - 2*i - 861","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -408121.99945 - -408098. Let l = d - -24. What is l rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**4\/13 - 216*b**3\/13 + 2162*b**2\/13 - 9504*b\/13 + 15488\/13.\nAnswer: 2*(b - 8)**2*(2*b - 11)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111200102 (base 3) to base 9.\nAnswer: -14612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 0*m - 1\/9*m**3 + 2\/3*m**2 + 25 - 1\/3*m**4 + 1\/15*m**5. Factor h(n).\nAnswer: n*(n - 4)*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {u: 9, z: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1110539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14402 is divided by 147?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -176, -304, -472, -692, -976?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Factor 2*w + 4*w**2 + 0*w**2 - c*w**3 + 4*w**3.\nAnswer: 2*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2178*t**5 - 231132*t**4 - 1929386*t**3 - 231320*t**2 - 6984*t = 0. Calculate t.\nAnswer: -97, -9, -2\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9096 is divided by 2172.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2 - 109*g - 9. Let p be x(11). Let c(d) = -23 + 3*d + 8 + 12 + d**p + 6. Suppose 3*s - 2*s = -3. Give c(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-7)\/(84\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let m(w) = -w**2 + w - 2. Let n(i) = 6*k(i) - 3*m(i). Factor n(l).\nAnswer: 3*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3267)*-2)\/sqrt(9).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2 + 56*w**3 + 2 - 3*w**2 + 2*w**2 - 5*w**2 - 31*w**3 - 2*w - 24*w**3. Let b = -13 + 9. Determine k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**2\/2 - 104. Let x(g) be the third derivative of 29*g**4\/12 - 17*g**2. Give b(x(z)).\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-28))\/((-4)\/(-424)) and (4\/(-10))\/(16\/244).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104030 - 2?\nAnswer: -104032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o. Let b(v) = 7 + 3*v**2 - 2*v**2 + 1. Let j(f) = 1. Let g(h) = -6. Let s(m) = -g(m) - 5*j(m). Let p(x) = -3*b(x) + 24*s(x). What is i(p(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - g + 24, -5*w + 24 = g - 42. Suppose -w*j + 30 = -12*j. Solve -c - 2 = -f, -6*c - j = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 2304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 17*g**2 + 5*g + 118. Calculate the remainder when p(17) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13000721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 0*c = -3*c. Suppose -12*m + m + 1133 = c. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 22. Put r, 5, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-2)\/(4\/(-6)))*(-3312)\/2208. Solve 0 = 39*f - s*f + 144 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*g - 96*g + 21*f = 17*f + 16, 4*f = -3*g + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*l = 2*l + 28, -4*d + 14 = 5*l. Calculate the remainder when 99 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 6 + 379*a**3 + 412*a**3 - 792*a**3 to l*a**2 + t*a + r*a**3 + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 + -75. Let t be w\/(0 + (-6)\/4). Suppose -8*f = -4*f - t. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2*-2 + sqrt(80) - sqrt(80))\/(sqrt(2160)\/sqrt(6)))\/((5*sqrt(360))\/(sqrt(10) + -1*(sqrt(90) - sqrt(10)) - sqrt(10))).\nAnswer: 4*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3*-6)\/(sqrt(4) - sqrt(44)\/sqrt(539)).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 7*m**4\/2 - m**3 + 28*m**2. Let d be b(2). Let r be (d\/(-72))\/(30\/(-16)). Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1151*w**2 + w + 1. Is g(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301853603.\nAnswer: 31, 41, 53, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21795 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*u**3 - 396*u**3 + 132*u**3 + 137*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:28 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1070, -5195, -9322, -13451, -17582?\nAnswer: -21715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k**(-2))**(-2\/9) assuming k is positive.\nAnswer: k**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 5*z**2\/2 - 4*z - 1. Suppose -36 = -4*p - 8. Is 12 a factor of o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*n**3*o**4 - n**3*o**3 - 2*n**3*o + 36*n*o**2 + 7*o wrt o?\nAnswer: -864*n**3*o - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 - 35*g**3 + 15*g**2 + 115*g + 70 = 0 for g.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110.4 + 106.4. Let y(b) = -b**2 + b + 1. Let g be y(6). Let h = g - -202\/7. Sort 0.1, h, m in descending order.\nAnswer: 0.1, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let t(o) be the first derivative of j - 4*o**2 + 3*o**2 - 4. Let x(w) = 3*w**2. Determine x(t(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 10 = -5*h. Suppose -4*w = 12, 2*w + h = p - 32. Let d = 122 - p. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-145 + 27*f**2 + 145)*(0*f + 0*f - 2*f) as u*f**3 + x*f + m + a*f**2 and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-90))\/((-52)\/78)*10\/52\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36762201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/14 - ((-15)\/2 - 1). List the prime factors of ((-60)\/c)\/(3*1\/(-54)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gugcgmmugnm. Give prob of sequence gcnu.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 37 = -t, 4*p = -3*t + 61. What is the remainder when t is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4. Let u = -9.5 - -1.5. Are u and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 6*f**2 - f. Let r be o(6). Let k(p) = -2*p - 9. Let a be k(r). Calculate the remainder when 64 is divided by (-2)\/4*-50 - a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1270303954?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68607041 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 372, 2588, 8526, 20046, 39008, 67272, 106698?\n\"Answer: 310*j**3 + j**2 + 43*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323274 = 2*h + k, -5*h = -0*k + k - 808179. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:02 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 39, -6, 1\/4, -84684?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 11*h - 9. Let j = 29 - -48. Calculate the remainder when g(-10) is divided by j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(57)\/(sqrt(12) - sqrt(3)) + (-5*(2*sqrt(19))**2 - (sqrt(19)*1 + 2)).\nAnswer: -382 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-8))\/((15\/(-138))\/5). Let d be (-316)\/12 - 1\/(-3). Let s = d - k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-6) + (-18 - (-637)\/39).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:42 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 18*u - 155. Give f(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 61 = -z, 0 = 4*r - 3*z + 77 + 70. Is -34 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 33*r**3 + 4*r**2 + 4*r + 8. Suppose 2*z = -2*z + 8. Suppose 0*n - z*n = 12. Let l be s(n). Round l to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 83 + (0 + 2 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Suppose y*i = -3*i. Sort i, 1, 2.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*h - 17 - 20 + 32 - 41*h to the form t + b*h and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 687*k**2 + 12 + 1373*k**2 - 686*k**2 + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-50)\/6 + (-2)\/(-6)). Suppose m*l = 5291 + 11181. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 67*w**2 - 1. Let z be n(-1). Let c(j) = 4*j**3 + j**2. Let f be c(-2). Let i be (77\/f)\/(2\/(-8)). What is the greatest common divisor of z and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -5480 - 5912. Let a be 4\/o*-1074 + -3. Is 1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/33 + 6\/88. Let k = 5.66 + -6.2. Let f = -0.16 + k. What is the second smallest value in -3, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**44\/n*n**39*n*n)**(11\/6))**30)**(-1\/72) assuming n is positive.\nAnswer: n**(-385\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2*4 + 2 + sqrt(108).\nAnswer: -2*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4, 2, -92?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (-7 - -1) + -3 + -413 + 405.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -575 - -575.756. Let x = w - 0.856. Which is the closest to 2\/5? (a) 7 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 856?\nAnswer: -8560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2550222?\nAnswer: 2, 3, 141679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + x - 25 = 15*b, 5*b = -4*x + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 5*l - 3, 13 - 33 = 5*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 24*n. Let r(s) = -11030*s**2. What is r(h(d))?\nAnswer: -6353280*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 14 + 0 + (619 - 643) - (3 + 55).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*(-1 + -3) + 8)\/2. Solve i = 2*z - 3*y - 6, -2*z - 2 = -5*z + y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53397992?\nAnswer: 2, 6674749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzmz. Give prob of picking 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 490 - 178. Calculate the lowest common multiple of k and 260.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25571903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Is x - (-1)\/(2\/350) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17246 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276 - 8*m**2 + 2*m**3 - m - m - 276 to i*m + w + l*m**2 + z*m**3 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/16558074 and 63\/47632.\nAnswer: 132464592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:47 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (858\/139425)\/((-7)\/(-525))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79.328 - -1.428. Let d = 78 + y. Which is the second biggest value? (a) -3 (b) -3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18\/13, 2\/7, 172, 131?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/134 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 435, 108.\nAnswer: 4, 108, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38799 is divided by 9698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y. Let n be h(1). Suppose -o - 16 = n*u, -2*o = -5*o - 3. Let d(l) = -l**2 - 8*l - 6. What is d(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 25553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 79099?\nAnswer: 2\/79099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214487*z**3 + 13*z**2 + 4*z + 80920350?\nAnswer: -643461*z**2 + 26*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q + 20*q - 116*q - 5408 = 7*q for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 2, -2, -10, -22, -38, -58?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -173d (base 15) to base 11.\nAnswer: -3843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - -110) + -119 + -76.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 28. Let y be s(23). Let p = y - 221\/3. Factor 0 - p*g - 4\/3*g**3 + 5\/3*g**2.\nAnswer: -g*(g - 1)*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = 70*v - 403. Let d(z) be the third derivative of -z**4\/2 - 61*z**3\/6 - z**2. Let g be d(v). Is -32 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9622565 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -2*v. Let y(a) = -a**3 + 4*a + 14. What is the least common multiple of y(0) and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -5*p**3\/2 - 14*p**2 + 4*p - 3. What are the prime factors of v(-11)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-267)\/445)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -65\/4, 3\/7, 124.42, -2 in descending order.\nAnswer: 124.42, 6, 3\/7, -2, -65\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4 + 2 + 1 + n**2 - 4*n. Let s = 20 + -19. Let d be 6 + s + (-5 - -3). Give x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 + 5*w + 10. Let j be x(-2). Solve -4*v - 11 = 3*o - 0, j = -o - 5*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6327, 6334, 6349, 6378, 6427, 6502?\nAnswer: 6609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 4*d**2 + 4*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 9.6. Let u = w - -0.5. Put 0.2, u, -0.3, -0.2 in decreasing order.\nAnswer: 0.2, u, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 8. Let m be h(9). Let k be -2 + -1 + 1 - -1. Let n be (-270)\/(-24) + k\/4. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttatooootoyttt. Give prob of sequence ooy.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/15 + -208 + 197.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.958 + -0.042. What is the nearest to 0.4 in y, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 18*f + 21. Let y(t) = -17*t + 49. Does 21 divide y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13090, -13088, -13086, -13084?\n\"Answer: 2*d - 13092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2 - 197546428*l - 4878073901944898 = 0.\nAnswer: -49386607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - m + 2, 10 = -0*v - v + 5*m. Let g(n) be the first derivative of -2 + 1\/4*n**4 + n**2 + v*n + 0*n**3. Find the second derivative of g(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210233 - -103?\nAnswer: 211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.191104*0.4.\nAnswer: 0.0764416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46a + -36?\nAnswer: -4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 725 + -725.1. Let z = 0.06 - -2.94. What is the biggest value in 0.5, j, z, -5\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 14. Which is the third biggest value? (a) l (b) 2\/5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = -6*u - j, -2*u + 11 = 3*j. Is -4\/47 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36325.2 + -197791.8. Let g = h - -233661.398. Let i = g - -455. Round i to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4014 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036344 rounded to 4 dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 256, 0.065, 5?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*q**2 - 33*q**2 - 32*q**2 + 31*q to w + k*q**2 + p*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 21. What is the first derivative of 6 + 0*d**3 - h*d**3 - 6*d**3 - d**3 wrt d?\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369576.\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.5, 0.05, -31, -0.1 in decreasing order.\nAnswer: 0.05, -0.1, -0.5, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**8\/2880 - u**7\/2520 + u**6\/720 + u**5\/20 + u**2. Let f(n) be the third derivative of t(n). Determine f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a4 (base 14) to base 12.\nAnswer: 39b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*m - 2*m. Let x be 0*(-5)\/25 + (9 - m). Suppose -x*v - 72 = -18*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*r - 4*r**3 - 63*r - 64*r to the form f*r**2 + h*r**3 + t + i*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39838 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 0*a**2 - 7*a**2 + 3*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + -5 + -11 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58668 - -84841. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674 = 3*k + 2*z, -5*k + 0*z + 1118 = -2*z. Find the third derivative of -156*b**2 - 271*b - 273*b + k*b**4 - 71*b**2 + 544*b wrt b.\nAnswer: 5376*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + h - 2. Let i(q) = 2*q**2 - 3*q + 5. Suppose -v + 5 + 0 = 0. Calculate v*l(d) + 2*i(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21515 (base 8) in base 11?\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = v, -5*v + 31 = 5*g - 3*v. Let k(m) = m**3 - 5*m + 3. Suppose 0 = 2*r - 6*r. What is the smallest common multiple of k(r) and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444.585 + 488134.9\nAnswer: 488579.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 28 = -3*d, 2*d - 6*r = -r + 26. Suppose -8 = q + 5*u, -3*q + 5*u - d = 4*u. Let a = -24 - -24.1. Put a, -5, q in increasing order.\nAnswer: -5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -18985*a**3\/8 + a**2\/8 + 18985*a\/2 - 1\/2 = 0.\nAnswer: -2, 1\/18985, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 1744*j - 916608.\nAnswer: 4*(j - 744)*(j + 308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 591, 448, 215, -108, -521?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.1, 9, 8, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7590 is divided by 2496.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30576)\/(-448) + (6 - -44*3\/(-16))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19598317 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*j + 8 - 18, 2*c = 5*j + 9. List the prime factors of j*((-8 - -4) + -8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7\/6)*j*j*j)\/j)\/(j**(-1\/2)\/j) assuming j is positive.\nAnswer: j**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -79. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-21))\/(6*5\/(-42))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose -b*r + 7 = 5*m - 2, -15 = -5*r - m. Solve r = -6*c + 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or -1242\/13?\nAnswer: -1242\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - 67) + 5 + -2 + (-8 - -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 12, e: 6}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01626 - -5.73626. Is v <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6)*33\/1925. Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*k**3 - 759*k**3 + 331*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9*q + 90. What is the smallest common multiple of q and 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -2434, -85 in decreasing order.\nAnswer: -4, -12, -85, -2434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2973384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 2\/5 (c) -2\/609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - -7. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51203, -102206, -153201, -204188, -255167?\nAnswer: -306138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15913829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*816.\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1\/18*f**4 - 1\/45*f**6 - 1\/30*f**5 + 1\/9*f**3 + 0*f**2 + 0 + 2*f. Factor o(s).\nAnswer: -2*s*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 6 - -1*294\/4. Let d = 78 - q. Which is the closest to 0.1? (a) d (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 4) to base 16.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/2)*o**0*o**11*o**(-2) assuming o is positive.\nAnswer: o**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22860?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000432 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, h: 1, a: 4, p: 4}. What is prob of picking 2 p, 1 j, and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, 3, 5, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:29 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*x = -1, -3*q + 3 = -x - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 9, l: 3, j: 5}. Give prob of picking 2 t and 1 e.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a + 58*a + 30 = 10*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16934 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31165, 22429, 13697, 4969?\n\"Answer: 2*i**2 - 8742*i + 39905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**5\/3 + 262115*a**4\/3 + 1144415715*a**3 - 51547733975*a**2\/3 + 130606540030*a\/3 - 27497438440 = 0.\nAnswer: -26219, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 73*w**2 + 336*w + 29415. Calculate n(-72).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27778, -27918, -28058, -28198, -28338?\nAnswer: -28478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1050978 by 525489.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-14) - (1002\/(-9))\/(518\/29859)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 286, 538, 752, 910, 994, 986?\n\"Answer: -3*t**3 - t**2 + 276*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-20) - 6\/(-8). What is the third smallest value in n, -5, -2\/17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*u = 19, -3*q = 5*u - 2 + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3)\/(144\/2160).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1043359283*d - 1207534091?\nAnswer: -1043359283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55.10416 meters?\nAnswer: 55104.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6559516 rounded to 2 decimal places?\nAnswer: 5.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3a0 (base 14) to base 6.\nAnswer: -355040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.942 minus 272.4?\nAnswer: -274.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcwr when four letters picked without replacement from crwcfffwr?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*p**2 - 23*p**3 + 3 + 2*p**4 + 126*p**2 - 42*p**2 - 2 - 47*p**2 in the form i*p**3 + q*p**4 + n + g*p**2 + w*p and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 60. Let d = 17 - 12. Suppose -d*f + 3*k - k = -43, -5*k - r = 0. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 1222*z - 45090. Determine m(-39).\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u - 2*g - 47038 = -28*u, -4*u = g - 47035. Suppose 100*j = 89*j + u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:25 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -50*h**2 + 0*h + 0*h**3 + 1\/12*h**4 + 0. Let p(t) = 6*t. What is r(p(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 112*s**2 + 28112*s - 13. Give h(-251).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1473655905 and -604349.\nAnswer: 1473051556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 116 = -d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22325 divided by -7?\nAnswer: 22325\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0 - 3\/2*j**3 + 0*j**2 - 1\/5*j**6 + 1\/2*j**4 + 29*j - 1\/14*j**7 + 3\/5*j**5. Suppose s(f) = 0. Calculate f.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10277 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 80. Factor 14\/5*i**x + 4\/5*i + 32\/5*i**3 + 22\/5*i**2 + 0.\nAnswer: 2*i*(i + 1)**2*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m + 100. Let n = 5 + -3. Let h(y) = 2*y + 1. Let v be h(n). Calculate the greatest common divisor of v and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 2:28 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*l + 37. Let z = 167 + -255. Let u = z - -92. Solve -3*d - 1 = -u*g, 23 = 3*d - g + l*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**3 - 6*m**2 - 6*m - 12. Let q(i) = -i**3 - i**2 - i - 1. Let k(o) = a(o) - 6*q(o). Find the first derivative of k(n) wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -54*p - 61*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxmffxfefemeffmgxg. Give prob of picking 1 g and 2 f.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 = 83*c - 1684 - 1622 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -692, -2831, -6440, -11555, -18212?\n\"Answer: -6*b**3 - 699*b**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 603\/(-27) + 20 - (-1 - (-24)\/9). Suppose 2*r + 2*r - 16 = 0. Suppose 2*z = -0*z - 4*n - r, 0 = -2*n. Sort g, z, -9.\nAnswer: -9, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 4, -0.06, -0.6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 35 + 48 = 0. Suppose a = 2*y + o, -2*o + 14 = 3*y - 8. Solve -m = -1, 0*i + 2*i + y*m - 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab769 (base 14) to base 8.\nAnswer: 1454101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2. Calculate the remainder when s(-4) is divided by ((-4)\/6)\/((-64)\/2784).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/45 + (-97)\/(-9). Let r = -112 + 112. Sort h, 2, 4, r in ascending order.\nAnswer: r, 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26863, -26875, -26887, -26899, -26911, -26923?\nAnswer: -26935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-237380)\/15106)\/((-22)\/28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4298 (base 16) in base 10?\nAnswer: -17048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 13*q**2 - 69*q - 254. What is h(-6)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 37\/3. Let f(j) be the second derivative of 1\/2*j**2 + 0 - j + c*j**3 + 1\/12*j**4. Factor f(d).\nAnswer: (d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(1\/12))**26 assuming x is positive.\nAnswer: x**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.48 times 49559\nAnswer: -73347.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -298.3 in 5, 3, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 3*c - 5*c + 4*c - 3 + 3 + (2 - 2 + c)*(1 - 2 - 1))*(3*c**2 - 2*c - 4*c**2 + 2*c**2) as p*c + m*c**3 + n + z*c**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**6\/360 + u**4\/24 - 2*u**3\/3 - 1. Let z(j) be the third derivative of d(j). What is the units digit of z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*g + 32*n - 34*n, -g = -5*n + 20. Solve 5*h - 5 = -2*p, 8*p = g*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/2185 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4564166*i**2*u**5 + 6860752*i**2*u wrt u.\nAnswer: 91283320*i**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:54 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 - (-2 + -7) - (-1 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 5683*r**2\/4 - 54985*r\/2 - 2326416.\nAnswer: (r - 51)*(r + 32)*(r + 5702)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*g = 26*g + 264. What is the remainder when 1914 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/5 at most -59579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 710*a + 11 = -706*a, 2*h = 7*a - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 329875417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -16154529309.\nAnswer: -16154529306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 229437 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (-9 - -42) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -4 (c) 2 (d) -3\/5 (e) -109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 233111 = 2*m, 5*t - 9*t + m = -932453. Is t 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 -4*b**4*x + 5*b**3*p*x - 2*b**3*p - b**2*p*x + 6*b**2 - p - 4 wrt b?\nAnswer: -96*b*x + 30*p*x - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 433 or -1332?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -531 + 1645. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 1 + 1)*(28 - -23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f + 3*f - 5*f)*(-3*f**2 - 3*f**2 + 3*f**2) + 83*f + 7712*f**3 - 263*f + 89*f + 91*f in the form n*f**3 + w*f**2 + k + b*f and give n.\nAnswer: 7706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(400\/96 - 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.485, -2, -4\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9709 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 92. Let t be (-3 - 3\/p) + (-18)\/6. Which is greater: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*t**3 + 481*t**3 - 238*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = 4*r, -4 = 2*r - y + 6. Let g(c) = -19*c**2 - 3*c - 4. What is g(r)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.1 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6 + 24*a**2 - 4 + 4*a - 2*a**2 + 0*a. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1235611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 143*b + 6. Let f be r(-1). Let l = f - -2470. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(9520\/952*-1*4\/(-48))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34015118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*q**2 - 29*q**2 + 14*q**2)*(1 + 2 + 1) + 2*q - 2*q**2 - 2*q - 2*q in the form r*q + v + x*q**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 92.9847.\nAnswer: 93.9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*r = -2615 - 6928, -4*z + 3*r + 12738 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 10. Let n be x(6). Let v = n + 2. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*a - 358 = 0, 27*a = 2*t + 30*a - 703. Is t at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931, -870, -809, -748?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -14 + -2 - -12. Sort 3, d, -3, 2, 1 in ascending order.\nAnswer: -3, 1, 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 4*y + 30 = -3*z, 73*z - 76*z + y = 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(405) - (sqrt(405) - (1*sqrt(405) + 4))) + sqrt(80)*-2 + 0)*-6*-3)**2.\nAnswer: 2664*sqrt(5) + 7096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3059722 weeks to nanoseconds.\nAnswer: 185051986560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.97785341 to 3 dps.\nAnswer: 18.978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2)\/(4*sqrt(4)*-2)*6*3.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1408 (base 12) to base 4\nAnswer: 210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u = -66. Let p(z) = 2*z**2 + 4*z. Calculate the remainder when p(5) is divided by 12\/(u\/(-9) + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsf when three letters picked without replacement from {s: 1, b: 12, f: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 5*t + 28, -3*f - 5*t = 16. Let r = -6 + 5.6. What is the nearest to 1\/2 in f, 2\/15, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 3*s + 3*s. Let x(l) be the first derivative of l**2\/2 - 3. What is z(x(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*v - 257236 + 6*v**2 + 257236 to the form r*v + q*v**2 + j and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246610, -493211, -739810, -986407?\nAnswer: -1233002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1) + 3*1\/(-2). Which is the fourth biggest value? (a) 5 (b) 0.3 (c) -3\/8 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 + -2) - (-49 + 60) - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 33*s**2 - 8*s - 32. What are the prime factors of i(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/6 - 5*h**4\/24 - 124*h**2. Let a(o) be the first derivative of -o**2 + 8. Calculate a(r(j)).\nAnswer: -20*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -50383047 minus 20907?\nAnswer: -50403954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 47*t + 18*t - 19443716. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 138?\nAnswer: 5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75 - e0?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7129568*q*v**2 - 3562*q + 28903*v wrt v.\nAnswer: 14259136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-85888)\/(-240))\/44?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2087 + 2098. Let a = 3 - -61. What is the remainder when a is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1872) + 1 + sqrt(1872) + 4 + 4 + -2 + -3*sqrt(1872)*-3)**2*5*-5.\nAnswer: 277200*sqrt(13) + 33984150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 13*v**3\/6 - v**2\/2 + 7*v. Let f be a(1). Solve 0 = -3*x - x + f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 - k**2 + k - 1. Let o(r) = -18*r**3 + 3*r**2 - 3*r + 3. What is -o(q) - 3*t(q)?\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m + 1. Determine a(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -111*u + 7224. Give z(79).\nAnswer: -1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 75, 120, 169, 222?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9112 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-4\/5)\/r))\/(r\/(r**(2\/9)*r)))**(10\/7) assuming r is positive.\nAnswer: r**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + -94. Suppose 4*t - 5*r - 476 = 0, -x*t + 3*r + 350 = r. Calculate the highest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + 20 + -11 - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 0, -744 + 90 = -5*l - 4*z. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 1. Let d(u) = -u**3 + 76*u - 1. Calculate d(a) - 2*f(a).\nAnswer: -a**3 + 74*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*h - 15 - 15 = 0, 3*h = 5*t - 75. Suppose -4*r + 0*r = 0. Suppose 3 + r = u. Calculate the greatest common factor of u and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1503 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u + 47. Calculate the least common multiple of 3 and u*(2\/8)\/(7\/(-28)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + 3010\/21. Let j be (2\/4)\/((-4)\/y). Does 9 divide (-4)\/j + 1340\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.130767 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -14) + 15 + (-13 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97372*j**2 + 189116*j wrt j?\nAnswer: 194744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 2.7. Let f = 3.0024 + z. Round f to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(-7854)*126\/(-12)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 21. Calculate t(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bojwv. Give prob of picking 1 o, 1 w, and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 23 - (-73 + 66).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkp. Give prob of sequence kp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*h + 59. Let i(n) = -3*n - 33. Let r be i(h). Suppose 20 = -5*u, 2*k + r*u = 60 + 238. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 - 140*b + 51. Let z be r(-33). Suppose 2*s - 5*l = 1285, 2*l = -3*s + 726 + 1249. Suppose -5*x + s = -z. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 21 + 3. Suppose 22*w = 20*w - 38. Let j = -8 - w. Calculate the remainder when j is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 + 3*c**3 + 639*c + 14299?\nAnswer: -8*c**3 + 9*c**2 + 639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0*j - 2*j + 4*j. Let u(h) be the first derivative of h**3\/3 - 13*h - 1. Let w(g) be the first derivative of u(g). Give i(w(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -3*y - 5*i, i = -2. Let w be 1040\/494 - (-3 + ((-85)\/95 - -4)). Suppose -w*n = -y*n + 464. Calculate the remainder when n is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.7. Suppose 4*b = 10 - 2. Let y be b\/(-3) - (-14)\/12. Sort y, j, 3\/8 in decreasing order.\nAnswer: y, 3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:54 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 - -556\/5. Let v be ((-24)\/210)\/(10\/25). What is the second smallest value in v, -0.5, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*u - 460*x + 458*x, 2*u - 6 = 4*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -8*a**7\/21 - a**5\/60 + 191*a**3\/3 + 480*a**2. Differentiate x(u) wrt u.\nAnswer: -320*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1898*t - 2453*t - 2372*t.\nAnswer: -2927*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 126 - 30. Let n = 87 + c. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-162)\/84)\/(-9))\/((-2)\/(-4))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8150 and 652.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0107 times -46.32?\nAnswer: -0.495624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 227328 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: Solve 0 = -4*o - 32, -38*x + 64*x + o = 44 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -25 - (3 - (-3 + -5 + 10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p + 4. Let r be s(5). Let h be (r\/5)\/((-1)\/(-5)). Find the second derivative of -h*z + z - 3*z**5 + 5*z + 0*z**5 wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5916947, 11833835, 17750723, 23667611?\n\"Answer: 5916888*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(2*l + l - 2*l) + (3 + 0 - 2)*(-2*l + 3*l + 0*l) + (8 - 8 + 47*l)*(1 + 1 + 0).\nAnswer: 96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 160 times -0.47\nAnswer: -75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1551 and 1.2?\nAnswer: 1861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-6)\/12)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 6*h + 1. Calculate g(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.01 to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 29*q**6\/20 - 361*q**4\/24 + 2*q**2 + 53*q. What is the second derivative of t(a) wrt a?\nAnswer: 1044*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99536 divided by 24884.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 2*m**4 - m**4 + m**4 + (0 - m**4 + 0)*(130 - 372 + 155) to the form u*m**2 + y*m**4 + n*m**3 + b*m + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2243231 - 3?\nAnswer: 2243224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 37*y - 1. Is 2 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -36, -39 in decreasing order.\nAnswer: 7, -1, -36, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194469 is divided by 32114.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0*w + 1168 - 1168 + w. Let x(j) = -9*j**2 - 1. Give n(x(y)).\nAnswer: -9*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmz when three letters picked without replacement from tlmmtqza?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778651500.\nAnswer: 2, 3, 5, 11, 41, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(112) + sqrt(112)*1 - sqrt(112))*6 - (sqrt(112) + 1*(-1 + sqrt(112)) + sqrt(112))) + (sqrt(112)*1 - sqrt(112))*5 + 2)**2.\nAnswer: -6102 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/426272 and -103\/176?\nAnswer: 426272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19777999.5 microseconds to days.\nAnswer: 0.00022891203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g + 6. Let n = -1.3 - -0.7. Let l = 0.9 + n. Sort -4, g, l.\nAnswer: -4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrvvvvvxrrvrvvrvv. What is prob of sequence rxvv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 1, k: 1, e: 2, b: 1, c: 2}. What is prob of sequence ki?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120, -117, -112, -105, -96?\n\"Answer: i**2 - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 7*q - 1. Let i be c(8). Suppose 2*y = i - 1. Suppose 4*a = y + 21. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q + 5. Let m be a(-5). Let x = m - 7. What is the remainder when 8 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9300)\/(-550))\/(351\/(-1287)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-42) - (-3)\/21. Let t = -85.983 - 0.017. Let l = -85 - t. Sort 0.5, l, s in decreasing order.\nAnswer: l, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 + (45 + -46 - 44) + -44\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6176 + -3296?\nAnswer: -9461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 2. Let l be i(2). Suppose 3*j - 12 + 36 = 0. Let y(u) = u**3 + 9*u**2 + 8*u + 2. Let n be y(j). Solve w = n - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1241 * 13.3.\nAnswer: 16505.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430410025 to the power of 1\/2, to the nearest integer?\nAnswer: 58570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3 = 2*f, -4*m + 56*f - 54*f + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15951231091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -29.9. Let p = 0.1 + x. Suppose -2 = -2*n + 4*f, 5*n - 3*f - 2*f - 10 = 0. Sort p, -4, n in descending order.\nAnswer: n, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 1. Let y(f) = 1. Let t(n) = 4*d(n) + 4*y(n). Let s(b) = -13*b - 9. Let h(j) = -3*j - 2. Let o(z) = 9*h(z) - 2*s(z). Determine o(t(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - 4\/(8\/(-18)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107.75527 + 0.00473. Let m = s - -2.24. Let r = -109.99999897 + m. Round r to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -8. Let y(h) = -h**3 - 5*h**2 - 4*h - 1. Give y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - ((2 - 2) + -2). Suppose -14*s = -n*s. Solve -4*h - 4 + s = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 10*f + 3. Suppose 2*h + 2*h + 40 = 0. Let n be m(h). Which is the nearest to 0.1? (a) n (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((45\/10)\/9 - (-20)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/((-7)\/(-26))*-2 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 + -178. Let f = x + -15. Which is the smallest value? (a) f (b) -1.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118581924.56 to the nearest one million.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 2:50 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 4015*k - 35730.\nAnswer: -5*(k - 794)*(k - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = x - 2*h + 3, -4*x - 4*h = -8. Let s be (1*-1)\/(7\/(-49)). Calculate the greatest common divisor of s and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.9 - -75.9. Let h = m + -71.1. Let a = h - -5.4. Which is bigger: a or -0.08?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 3536682100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 56 = 3*r, 2*r - 24*h = -22*h + 40. Find the first derivative of 11 + 55 - 17*z**3 - r*z**3 wrt z.\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 10:13 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1101014 - 4?\nAnswer: 1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 10*m**2 - 5*m - 16. List the prime factors of a(12).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -49047245.\nAnswer: -1\/9809449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*y**2 + 529*y**2 - 6*y**3 - 3*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, a: 1, f: 1, g: 1}. Give prob of picking 1 f and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 9. Let t be i(9). Do 4\/9 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.1, 20, -0.3, -618743?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46763*g**2 - 1128*g - 46763*g**2 - 136*g**4 + 9*g**3 wrt g?\nAnswer: -1632*g**2 + 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9718, 15263, 20808, 26353, 31898, 37443?\n\"Answer: 5545*p + 4173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -8, -566, 4, 0 in decreasing order.\nAnswer: 4, 0, -8, -11, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-6 + (-1 + sqrt(2))*-6 - (1*sqrt(18))\/sqrt(9)*1)**2.\nAnswer: -372*sqrt(2) + 1958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 87?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*c - 10, -19*a = -15*a - 8 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.26 take away 927.55325329?\nAnswer: -929.81325329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/3 + 61*l**3\/3 + 1565*l**2\/3 - 1179*l - 1680 = 0?\nAnswer: -21, -1, 3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8968*m**5 + 53768*m wrt m.\nAnswer: -179360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - z + 25 = 5*a, 4*a + z - 21 = 0. Solve i + 6 = -4*i + g, 5*g = -a*i - 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -3 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avl when three letters picked without replacement from {v: 9, a: 1, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290736?\nAnswer: 2, 80671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -289, -3, 2, 100 in increasing order.\nAnswer: -289, -5, -3, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 2*w**2 + 22*w**2 - 4*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:33 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3866.\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 14 + 10. Let l(d) = d**2 - 8*d**2 - 8*d + 6*d**2. Let s(z) = -3*z**2 - 17*z + 1. Let y(c) = u*s(c) - 9*l(c). Let y(a) = 0. Calculate a.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*o = 18 + 2, -3*o = -4*z - 35. Let s be 126\/(-10) - 3\/z. Let a(b) = b**3 + 11*b**2 - 15*b - 16. Is 20 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.618285 weeks to milliseconds.\nAnswer: 5212338768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (5 + -4 + (-7 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -2*c**3\/3 - 2*c**2 - 46*c. Let j = -2 + -3. Is i(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from fttytfmtmtmmtpyftfy.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10285 + 10285 + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242 - 2660\/11. What is the nearest to 5 in -2, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/20 + j**4\/24 - j**3\/6 - 21*j**2. Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 18 - (-9 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 90.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.6, 0.4, -0.2, 0.0413?\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 - 23*z**2 - 224*z**3 + 7*z**2.\nAnswer: -224*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12366647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o\/o**(4\/11)))\/((o*o\/(o**3*o)*o)\/o))\/(((o\/(o**(-1\/3)*o))\/o)\/(o**1*o)))**(-5\/18) assuming o is positive.\nAnswer: o**(-995\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -1 (c) 3\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.3. Let m = f + 0. Let r = 0.4 + m. What is the third biggest value in -3, -2\/5, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -153*j - 7803\/2 - 3\/2*j**2.\nAnswer: -3*(j + 51)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22542, -22955, -23640, -24597, -25826, -27327?\n\"Answer: -136*f**2 - 5*f - 22401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -354151 (base 6) in base 7?\nAnswer: -155422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30354?\nAnswer: 2, 3, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - 4*sqrt(272))*5)**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4985.26079 to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5930897?\nAnswer: 7, 847271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1003 - -4445?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 11 + 1 - g**2 to y*g**2 + f*g + b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7581228 divided by 12.\nAnswer: -631769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:18 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 74, 100, 120, 134?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*l - t - 9, -4*l - 12 = -t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + ((sqrt(2) - sqrt(2)*2)*-1 - (sqrt(2) - sqrt(32)\/sqrt(4) - sqrt(2)))*1))**2.\nAnswer: 96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 - 35 + 146)*(0 + d**2 + 0) - 1 + 1 + 2*d**2 to the form q*d**2 + f*d + x and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times -5?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 85\/2 (b) -5 (c) -0.04 (d) -302 (e) 4 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1115463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*j + 83 + 225. Suppose 2*s + 2*v - 1220 = 0, -5*v = j*s - 11*s + 2413. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*q - 15, -16 = -q + 2*p - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -814748046 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37232, 423, -4, 0 in ascending order.\nAnswer: -37232, -4, 0, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x - 7*x + 6*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548 is divided by 625?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*b - 63*b - 40*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*c**4 - 11*c**4 - c**4)*(12 + 1 - 1)*(9 - 4 + 0) to v*c + a*c**2 + h*c**4 + m*c**3 + w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 9*b + 6. Let v(m) = m**2 - 4*m + 3. Determine 4*s(x) - 9*v(x).\nAnswer: -x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 16 + (6 - -2) + (4 - 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/26880 and 29\/180?\nAnswer: 80640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 861, 869, 877, 885, 893?\n\"Answer: 8*i + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, x: 7, c: 1}. What is prob of sequence xctx?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -3 + 0 + 3. Suppose -x + t = -8, 2*t + 10 = x - l. Suppose -x*g + 14 + 17 = 5*f, 4 = 2*f - 3*g. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**6\/720 + p**5\/15 - p**4\/6 - 4*p. Let s(d) be the third derivative of r(d). List the prime factors of s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 - 229. Suppose -j = -5*x + 60. Solve -3*g = 5*t - x, -g + 21 = g + 3*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 202, 199, 192, 181, 166, 147?\n\"Answer: -2*d**2 + 3*d + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*u - 13 = 3*u, 3*m - 5*u = -29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(1250)\/sqrt(5) + sqrt(10)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**4 + 0 - 1\/48*b**8 + 0*b**7 + 0*b**6 - 9*b**2 + 0*b + 0*b**3 - 7\/60*b**5. Find the third derivative of w(p) wrt p.\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038972130?\nAnswer: 2, 5, 7, 31, 47, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-35)*7)\/((-1)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124302233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -837.54843 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 - 26.35. Let n = d - -27.00000105. Round n to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:28 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*-9*(35\/45)\/(-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.1. Let g = -1.05 + 0.05. Suppose -15 = 4*o - d, 114*o + 5*d + 45 = 110*o. Which is the nearest to 2? (a) g (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10903611.00079 - 10903689. Let i = m - -78. Round i to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*x**2 + 3*x**2 + 2*x**2)*(-2*x + 2*x - x) in the form j*x**2 + n*x + v + d*x**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207113320, -414226642, -621339964, -828453286, -1035566608, -1242679930?\nAnswer: -1449793252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.32 - 19.68. Let w = r + 20.0061. What is w rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwggwggzwggw. Give prob of sequence wz.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 5531?\nAnswer: 5536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(208) - (sqrt(208) + 3*(sqrt(208) + -1)))*2*-5)**2*-3.\nAnswer: -5078700 + 194400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 721 divided by 1\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2482196?\nAnswer: 2, 620549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2113*h + 10*h**3 + 2113*h.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*v + 1259*v + 330*v + 891*v = -151980 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-32) - 245\/(-56). Put -5, 2, 1, p in increasing order.\nAnswer: -5, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*x + 40 = 0, 4*c + 13 = -3*x + 8*x. Factor 4*a**2 - 5*a**2 - a**c + 2*a**3.\nAnswer: a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4010040*x**2*z + 71*x**2 - 10*x + 648 with respect to z.\nAnswer: 4010040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2) - (-30 - -37).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2847 = -1008*u + 789*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + r**2 - r + 240. Let c be q(0). What is c rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1235000 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 4106 - 130. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11 = t, -2*t - k - 4*k + 53 = 0. Let u = t + -10. Is u*(-1)\/14 + 2818\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 15817853\nAnswer: -15817853.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11694 + -11510. What is the remainder when 1654 is divided by m?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(77) + sqrt(77)*-6) + sqrt(77))*4)\/(2*sqrt(1008)*-5).\nAnswer: 7*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1070, -2125, -3154, -4145, -5086, -5965, -6770, -7489?\n\"Answer: 2*m**3 + m**2 - 1072*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11035250 - 5?\nAnswer: 11035241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2286121030.\nAnswer: 2, 5, 1613, 141731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b - 7. Sort b, -2, 4 in ascending order.\nAnswer: b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in 1, 2, -3, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1364752 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -27*y**3 + 5*y**2 - 1. Let u(r) = r**3 + 3*r**2 + 3*r + 7. Let x be u(-3). List the prime factors of f(x).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897102003, 897102004, 897102003, 897102000, 897101995, 897101988?\nAnswer: 897101979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 > 3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = -45 - 27. What is the hundreds digit of (-21 - -18)\/(1646\/(-820) + l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k - 249 + 249)*(-621 + 1251 - 624)*(5 + 0 - 3) as t*k + z and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-21)\/(((w*w\/(w**(2\/3)*w)*w)\/w)\/w))\/(w*w**(-4\/3))**(-49))**(17\/2) assuming w is positive.\nAnswer: w**(-935\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p + 3 - 8 - 2.\nAnswer: 24*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8084.443 years in decades?\nAnswer: 808.4443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let w(l) = l**2 + 6*l + 8. Let j be w(-8). Let x be (-3)\/(-4) - (-30)\/j. Let d(q) = 61 - 61 + x*q. Give m(d(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 424833500 rounded to the nearest 1000000?\nAnswer: 425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 47, -18, -95, -184?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g. Suppose a = -g + 2. Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 10*r + 3. What is c(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206046 - 117858. What are the prime factors of a?\nAnswer: 2, 3, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let a(t) = -t + 2. Let f be a(6). Calculate p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23110510 divided by -2311051?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.5. Let b be 2\/(-8)*(-18 + 18). Suppose -m + 2 = -b*m. What is the smallest value in 0.4, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (-178)\/(-10))*5. Suppose f = 3*q - 3*z - 2*z, -2*q + z = -40. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/81 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 2}. What is prob of sequence gge?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3455771\/161 greater than or equal to -21463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.9 + -78.9. Let b = -0.6 - 0.4. What is the closest to b in 2, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492139554?\nAnswer: 2, 3, 82023259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1988 and 77\/11520.\nAnswer: 5725440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5014*c**3 - c**2 + 3*c + 332 wrt c.\nAnswer: 30084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 953952851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 1, 13, -5, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 - 1\/30*b**5 + 6*b**2 + 0*b + 1\/60*b**6 + 1\/105*b**7 - 1\/12*b**4 + 0*b**3. Find l, given that y(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76254 and 132102.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1495)\/(-3588)*672\/(-350)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513867803 plus 0.031028?\nAnswer: -1513867802.968972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nniqs. What is prob of picking 1 q and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1096*c - 69051. What is d(63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 3*c**3 + 12*c**3 + 15*c**3.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*i - 71 - 5*i**2 + 107*i - 169.\nAnswer: -5*(i - 12)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(11) + (sqrt(99)*2 + sqrt(99))\/sqrt(9))*-2 + 2 + 1*sqrt(396)).\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*r - 10026, -58*d - 8 = -56*d. Is r a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 375.1+18291317\nAnswer: 18291692.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiuqai. Give prob of picking 1 u and 2 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-32)*h*h**46)\/(h**(-33))**(-40))**27 assuming h is positive.\nAnswer: h**(-35235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)\/(((s**(4\/9)*s)\/s)\/s)*(s\/s**(2\/5))**(4\/11) assuming s is positive.\nAnswer: s**(43\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**9\/30240 + a**5\/30 + 4*a**2. Let s(f) be the third derivative of m(f). What is s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274568805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405 (base 8) to base 11.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226 and 51302?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/(12460\/2136).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 - (1 + (-4 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/7 - 1455*t**4\/7 - 16410*t**3\/7 + 20760*t**2\/7 + 35712*t\/7 = 0. What is t?\nAnswer: -12, -1, 0, 2, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51862239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 7477 + -7476.981724. What is q rounded to 4 decimal places?\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -0.3, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 = -2*n, a = 2*n + 2*n - 1. Let x = -33 + 35. Put x, n, -3 in ascending order.\nAnswer: -3, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 + 4*z**3 - 22*z**3 + 5*z**3.\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.329507.\nAnswer: 0.0659014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {t: 2, o: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 8*q + 15. Let b be r(-5). Solve b = 5*l - 2*z + 3 - 1, 14 = 3*l - 5*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 106\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 12.5. Let s = 1.3 + -0.3. Which is the closest to s? (a) -0.3 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6473844 and 28188?\nAnswer: 19421532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-8 - 6*r**2 + 8)*(6 - 6 - 2*r) + 0 + 0 - 6*r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2*w. Let k be s(-2). Let q = 3 + k. Let f be (-1 + 5)\/(25\/(-5)). Sort 5, q, f in ascending order.\nAnswer: f, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 19. What is the remainder when d is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:11 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -24405025?\nAnswer: 24405032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*j - 11 = -126*j. Calculate the remainder when 221 is divided by (-4 + (-35 - 6))\/j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 5*p**4\/24 + 7*p**3 - 5*p**2. Let f be v(-8). Suppose -5*m + 2*w = -f*w - 558, m + 4*w - 102 = 0. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 22*m + 378. Determine z(-33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u + u + 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o**2. Let t(y) = -23*y - 10. Let w(f) = -14*f - 6. Let s(z) = 5*t(z) - 8*w(z). Calculate a(s(h)).\nAnswer: -153*h**2 - 204*h - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 2. Let i(g) = -8*g - 9. Let b(j) = -4*i(j) + 18*q(j). Let r(m) be the third derivative of m**5\/60 + 2*m**2. What is r(b(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 57*s**3 + 26*s**2 + 23*s - 2. Determine j(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - -6) - (5 + (-4 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**5\/30 + r**4\/24 + 2*r**3\/3 + 3*r**2. Does 8 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.297708km?\nAnswer: 1297708000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 2453 - 27*z + 27*z + 6*z**2.\nAnswer: -3*z**2 - 2453","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -497379 by -29.\nAnswer: 17151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - k = -242, -3*y + 0*y - k = -365. Suppose -y = -3*f - 39. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 + 29*s + 211. Let x be r(-8). Solve 49*t = x*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. Let l = 8 + -2. Which is the closest to x? (a) l (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-75)\/(-12) - 99\/44. Find l such that -2\/3 + l + 4\/3*l**s + 16\/3*l**2 + 5*l**3 = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3. Let s(w) = -5*w**3 + w**2 - 5*w + 3. Let f(n) = -s(n) - 6*z(n). Factor f(t).\nAnswer: -(t - 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 + g**4\/6 + g**3\/6 + 4*g**2. What is t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*a**3 - 29897*a**2 + 27169*a + 2717.\nAnswer: (a - 2717)*(a - 1)*(11*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5752\/493 - -1\/1479. What is the common denominator of g and 40\/(-6) + (12 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-5)*(-10 + 5). Let t be 1\/(-2) + 2\/4. Suppose t = 5*w + 5*u - 35, u + 3*u = 0. What is the highest common factor of w and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/14 - (-8)\/28. Let s be -14 + (v - -6) + 2. Let x(r) = r**2 + 6*r + 5. What is the tens digit of x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1260061 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2686.989 litres?\nAnswer: 2686989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 7*q**2 - 7*q - 4. Suppose -j + 30 - 11 = -5*a, -4*a - 20 = 0. Determine x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69395*v**4 + 643*v**3 - 51344301*v**2 - 2*v - 2?\nAnswer: 1665480*v + 3858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + a = 6 - 3, -5*o = -3*a + 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 52*t**3 - 144*t**2 - 64*t + 512.\nAnswer: -(t - 4)**3*(5*t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 404 - 1.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from shwkw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n + 24538 - 49326 + 24788.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3, -0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.52? (a) 1\/4 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440330 divided by 1220165?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*f = -26, -5 = 5*f + 5. Let a = -3103 - -3102. Calculate the common denominator of -13\/12 and a - (-9)\/i - 494\/140.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-72)*-15*-3 + 12\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/6 - -3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812*j + 327 + 323 - 984 + 334.\nAnswer: -812*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -52. Let v = -21 + q. Solve v = -2*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 20*t**2 - 140*t + 160.\nAnswer: 5*(t - 2)**2*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68162 + -46779. Differentiate -m*x**3 - 4*x - 14 + 30*x**2 + 21384*x**3 + 4*x wrt x.\nAnswer: 3*x**2 + 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (9 + 2)) + (5 - 2 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g - 20. Let i be b(5). Suppose i = -5*j + 55. Suppose -j*p = -12*p + 1040. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**3 - 3*f**2 + 3*f + 5. Let b = -440 - -438. Let u(t) = 7*t**3 + 2*t**2 - 2*t - 4. Give b*s(y) - 3*u(y).\nAnswer: -7*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000264321 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*s - 7*s + 12, n + 4 = -3*s. Let j(o) be the third derivative of -14*o**2 + s*o**3 + 7\/12*o**4 + 0*o + 0. Let u(q) = -3*q**2. What is u(j(m))?\nAnswer: -588*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1390)\/(-834))\/(3*15\/(-1161))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:28 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - -91. Calculate the highest common divisor of 28 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:47 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132424127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, b: 2}. Give prob of sequence hbhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 37958 = 8*n - v, 0 = -4*n + 5*v + 37946. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c. Let d be ((-2)\/6*-3)\/((-2)\/(-2)). Let w(v) = v**3 + 14*v**2 + v. Let i(y) = d*r(y) + w(y). What is the third derivative of i(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxmxxmxxmxxxxxmmxx. Give prob of sequence xmmx.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 72*b**2 + 67*b - 278. Let i be o(-71). Solve 4*m - 3*t + 6 = -i*t, m + 5 = t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -24, 0.\nAnswer: -24, -5, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*j - 21 + 51, -15 = -d + 2*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 + 94*c + 57. What is k(32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccchchcvvfvcefcfvc. Give prob of sequence cehh.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676938483 + 4*n**3 - 676938483 - n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + b + 1 = -1, 2*p + 4*b = 2. Let f(n) = 2*n**3 + n**2 + n + 1. Let a be f(p). Is -1 - 38\/(0 + a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:35 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3\/3 - t**2\/2 - 22*t - 1. Let l = 67 - 37. What is the remainder when l is divided by f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - 4) - 2 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 5*f**3 - 109*f**3 - 4*f.\nAnswer: -114*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-3 + 3)) + (-71 - -56) + -5 - 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -2, -710, -3 in decreasing order.\nAnswer: 5, -2, -3, -6, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -3\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*q. Solve -3*x - 10 = -8*x, q = 4*y - 2*x - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 128*j**3 + 3*j + 3. Let q be s(-1). Suppose -10*d + 91 = -11*d. Let m = d - q. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1495 = 3*d + s, -6*d + 3*d = -2*s - 1483. Let n = 933 - d. Let u = n + -225. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158 and 1.5.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tptpppp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256572 is divided by 479?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13832*d - 171. Let f(p) = -117572*p - 1444. Determine 9*f(g) - 76*n(g).\nAnswer: -6916*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-242568)\/(-454815)*795\/4?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**2 - 2772*h + 18. Let k(d) = 25*d**2 - 8320*d + 60. Let t(f) = 3*k(f) - 10*z(f). Factor t(m).\nAnswer: -5*m*(m - 552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 2)*(326502*d - 326502*d + 65*d**2) - d**2 + 5*d**2 - d**2 to the form a*d + f*d**2 + u and give f.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106, -88, -68, -46, -22?\n\"Answer: u**2 + 15*u - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/37 in 3\/7, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -47. Suppose -t = -3*z + 17. What is the lowest common multiple of (z\/15)\/(3\/15) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25465?\nAnswer: 5, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 2225 - 5254. Let z = h - 231. Factor 0 + 3\/2*k**4 + 9\/2*k**z + 5*k**3 + k.\nAnswer: k*(k + 1)*(k + 2)*(3*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 4 - (5 + -19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 376163*a**4\/3 - a**3\/3.\nAnswer: a**3*(376163*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/5 - 644*r**2\/5 + 18*r\/5 + 5796\/5 = 0 for r.\nAnswer: -322, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 15*s**2 - 11. Is v(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 a when three letters picked without replacement from mmuapvga.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = -7*d - 13699. Let h = d - -772. What is the remainder when h is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2*n - 1. Let l be p(-2). Let b(j) = -j**2 + 7. Let f(h) = -h**2 + 14. Let z(q) = -7*b(q) + 3*f(q). Let a(s) = -s**2 + 2. Give l*a(w) + 2*z(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 6775610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*-16*(-6)\/36?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97199837 to 4 decimal places.\nAnswer: -0.972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -339811 divided by -2\nAnswer: 339811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) -5 (c) 152 (d) -871\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -533*z + 543. Let c(t) = 529*t - 544. Let r(x) = -6*c(x) - 5*m(x). Differentiate r(v) wrt v.\nAnswer: -509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.05 (c) 141 (d) -0.5 (e) 1 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*v + 1 = 0, -5*v - 22 = -5*s - 2*v. Calculate the remainder when 14 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*h = -1025*h + 18621 - 8767 + 21448 for h.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (81\/(-12))\/3*-12. Suppose -5*d - 3 = b. Let k = 141 - 143. Sort k, d, 1 in increasing order.\nAnswer: d, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133445417\/1542 + -259622\/3. Calculate the common denominator of -31\/18 and h.\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 564 and 7088?\nAnswer: 999408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9\/4, 470\/43, 0.5, -0.5.\nAnswer: -0.5, 0.5, 2, 9\/4, 470\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588 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: What is -242233332 (base 5) in base 7?\nAnswer: -12430635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p + 2. Let o(g) = g**2 - 2*g - 1. Let r be o(p). Solve 3 = -r*q - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -11*z**3\/4 + z**2 + z\/4 - 37. Factor k(f).\nAnswer: -(3*f - 1)*(11*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.5. Let x(s) = 2*s - 21. Let p be x(8). Sort m, -4, p in descending order.\nAnswer: m, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 159, -2, 34\/135?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.626747 centuries to millennia.\nAnswer: 0.1626747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + 2. Suppose 0 = -2*c - 3*x - 10, -w = -5*c - 3*x - 19. Does 5 divide c\/(-6) - (-235)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5 + 3 - 4 - 7 + f. Suppose 0 = -238*j + 241*j - 18. Give c(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**4 - 2*n**2 + n - 2. Let i(u) = -583*u**5 - 5*u**4 - 1774*u**2 + 5*u - 10. Let g(y) = -i(y) + 5*x(y). What is the third derivative of g(q) wrt q?\nAnswer: 34980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 - -289. Calculate the smallest common multiple of 112 and s.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*h**3*k**2*q + 28*h**3*k - 10*h**2*k**2*q - 2*h**2*k*q + 2*h**2*q + 31*h**2 - 49*h*k*q - 35*k**3 + k*q wrt k.\nAnswer: 88*h**3*q - 20*h**2*q - 210*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/((-1)\/2). Suppose -4*u - 31 = x - 2*u, -43 = x + h*u. Let i = x + 65. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -39179?\nAnswer: -156716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 83. Suppose c - 2*b = -c + o, -3*c - 4*b = -20. Let f(d) = 2*d**2 - 9*d + 9. Let m be f(c). Solve m = a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162755 is divided by 20294?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(1\/2))))**(4\/35) assuming l is positive.\nAnswer: l**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0. Let q = -318 - -336.3. Let g = -16.3 + q. What is the nearest to -0.1 in g, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 3*l + 2. Let u = -139 - -151. Let f be ((-18)\/u)\/(2\/4). Calculate m(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24650 + -5)*(-28)\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/5, -103, -218?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*p - 25*p - 1522 - 152 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - (1 + 29)) + -61.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*d - 26 + 12*d + 19 + 4 as k*d + l and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278836437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 63389.\nAnswer: 253556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/13 + 46*x**3\/13 - 44*x**2\/13.\nAnswer: -2*x**2*(x - 22)*(x - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 6*a. Suppose a = 4*s + s + 100. Let i be (4\/(-14))\/(s\/35)*0. Solve i = -y - y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/9 and 133\/86664.\nAnswer: 259992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777483197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = -4*c - s, 0 = -5*c + 5*s + 5. What is the third derivative of -t**3 + c + 3*t**3 + 0 - 5*t**2 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**4 + i**3 - i**2 + 1. Let u(s) = -s**5 - 4*s**4 - 3*s**3 + s**2 - 1. Let k(b) = r(b) + u(b). Suppose k(h) = 0. Calculate h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66\/29 - -943\/261. Let u = 2536\/423 - c. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 + 148*h + 114. Let k be v(50). Solve -k = -8*a + a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58545\/4 - -14637. Let k(y) be the first derivative of 3\/2*y**2 + 1 - j*y**4 + 3*y**3 - 9*y. Factor k(g).\nAnswer: -3*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2. Suppose -2*s - 4 = 0, v - s + 4 = 3*v. Let c = -18 - -20. Let t(l) = 2*l**2 + 178 - v*l**c - 178. Calculate t(x(b)).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 34*j + 4. Let u(w) = -202*w - 23. What is -34*g(i) - 6*u(i)?\nAnswer: 56*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c. Let p(x) = 7*x - 18. Let n(l) = -4*l + 9. Let o(d) = 11*n(d) + 6*p(d). Determine o(g(t)).\nAnswer: -4*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 732\/(-6222)*2\/4\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 f when three letters picked without replacement from lvaccffcckvfckkfaff?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 901, 954, 1123, 1468, 2049, 2926, 4159?\nAnswer: 5808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/9150 and -17\/5490?\nAnswer: 27450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 103*x - 35. Let p be j(-10). Let m = -539 - p. What are the prime factors of m?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/(-34)*(-20)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -37*r - 918. What is k(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -72\/5 + 34\/5*p**2 - 42\/5*p + 2\/5*p**3 - 2\/5*p**4 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 1 (b) 3\/4 (c) 32 (d) -896 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*255\/680*-74.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzdc when four letters picked without replacement from {d: 2, k: 4, z: 3, c: 10}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.19192 centuries to decades.\nAnswer: 911.9192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21487928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/((n\/n**5)\/n)*(n**(2\/5))**18 assuming n is positive.\nAnswer: n**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3\/8*d**5 + 1\/2*d + 0 - 9\/8*d**3 + 0*d**2 + 1\/4*d**4 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 34382, 1, -4, -2, -0.4, 2\/9, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b - 10431 + 15231 = 0. What is the greatest common divisor of 2125 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**5\/40 + 569*y**4\/24 + 1141*y**3\/12 + 571*y**2\/4 - 983*y - 2. Determine m so that n(m) = 0.\nAnswer: -1, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3\/32 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 34000?\nAnswer: -33442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-10)*(-472)\/12. Let m = 287 - i. Let t = -123\/35 + m. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66075.25 nanometers to millimeters.\nAnswer: 0.06607525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -163aa - -1?\nAnswer: -163a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41751 or 41752?\nAnswer: 41751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -858 + 1018. Do 160 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 7. Let t(r) = -14 + 8 + 5. Determine -j(c) - 5*t(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 122.8, -0.3, 4\/7, 11.682, -1\/5?\nAnswer: 122.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10363 divided by -1165?\nAnswer: 10363\/1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226095046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -145630 divided by 1?\nAnswer: -145630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 5:39 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*n + 5*m, n - 5*m + 16 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-1*6)\/(-1). Let l = -4 - f. Suppose j + 3*j - l*b - 16 = 0, -3*j - 2*b + 5 = 0. Solve j = 4*q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*k**3 - 10*k**3 - 3*k**4 + 41*k - 13*k**3 - 39*k to p*k**2 + z + w*k**4 + r*k**3 + n*k and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 12 - 13)*(10*j**2 + 2*j - 2*j).\nAnswer: -370*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -789, -1359, -2891, -5865, -10761, -18059?\nAnswer: -28239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2. Let t(o) = -10*o**2 + 10. Let s(a) = 5*h(a) - t(a). Let b(g) = 33*g. What is b(s(p))?\nAnswer: 330*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*i**5 + i**4 - 2543*i**3 - 2*i**2 + i - 76279 wrt i.\nAnswer: 2520*i**2 + 24*i - 15258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + (sqrt(19) + 0 - sqrt(19)))*2 + 5 + (2*sqrt(190) + sqrt(190))\/sqrt(10))**2*-2.\nAnswer: -470 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15148 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: Let o(i) = -7494*i. Let b(h) = 17*h - 15. Let g(k) = -148*k + 130. Let s(m) = 26*b(m) + 3*g(m). Calculate o(s(z)).\nAnswer: 14988*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/20 - (-9 - -11). Sort 1\/3, 0.05, z in descending order.\nAnswer: 1\/3, 0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13502843 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2340 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (15 + -10 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -191 - -216 - (6 - (7 + -4 + -2 + 1))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7*182\/(-52)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-1\/2)\/(a**(1\/2))**(-1\/41)*(a**(2\/15)*a*a)\/(a*a*(a*a\/(a\/a**1))\/a)*a**(-2\/5)\/(a*(a*a\/(a\/((a**(-2\/25)*a)\/a*a)))\/a) assuming a is positive.\nAnswer: a**(-11299\/3075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 186 + 746 = 0. Calculate the lowest common multiple of z and 320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-2) + 1\/(-2). Suppose 3*f - o - 13 = a, 0 = 2*f - 3*o - 20. Solve 3*b = f*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 3*q + 1. Let b(o) = 4*o**2 - 13*o + 1. What is b(d) - z(d)?\nAnswer: 2*d**3 + 4*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/((-29)\/145)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, 1.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let g = -3304\/19 + 174. What is the closest to 1\/3 in g, z, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2305978\/15 + 153962. Let p = y - 230. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14524*u = -14475*u + 49 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 796 by -2.\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -2 (b) -9 (c) 2 (d) 1\/11 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-28\/3)*i**24 assuming i is positive.\nAnswer: i**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10868675?\nAnswer: 5, 61, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from hhhhzwhjhzrrphh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180)*2 + -2)**2 - ((5 + (-2*sqrt(500) - sqrt(500)) + sqrt(500) - sqrt(500)) + 1 + 0 + sqrt(500))**2.\nAnswer: -1312 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 1. Let i(m) = 8*m**2 + 12*m - 10. Let q(s) = -69*s + 771. Let n be q(11). Calculate n*r(t) - i(t).\nAnswer: -8*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661, 5095, 12483, 22825?\nAnswer: 36121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*r - 10, 6*w + 11 = w + 2*r. Let g(q) = -q**2 + 1. Let h(p) = p**2 + p - 2. What is w*h(c) - 2*g(c)?\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1110952, -1110951, -1110948, -1110943, -1110936, -1110927, -1110916?\nAnswer: -1110903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c - 1. Let a(i) be the third derivative of -i**5\/20 + i**4\/24 + i**3\/3 + 4*i**2. Let t(k) = a(k) - u(k). Differentiate t(r) wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 39, 78, 131, 198?\n\"Answer: 7*y**2 + 4*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90947 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0 - 4*y + 1\/6*y**3 - y**2 + 1\/6*y**4. Let q be u(-2). Solve -10 + 2 = -q*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10a (base 16) to base 3\nAnswer: 100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.506.\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2305*a**3 - 5039*a**3 + 2719*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 2*m. Let g be 2*36\/8 + 2. Let w = -127 - -125. Let q(u) = -5*u**2 - 11*u. Calculate g*r(n) + w*q(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)\/(2\/190) - 0. Let h be (-46)\/(-14) - 26\/91. Suppose -5*g + y = 5*w, -2*w + 35 = 4*g - h*g. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zizileizezzizee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 2. What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 1 (b) -248 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309 - -441. Let w = -8537\/5 - -9194\/5. Let h = w - t. Sort h, 2, 0.1 in ascending order.\nAnswer: h, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 8. Suppose -5 = 2*c + 3. Let d be t(c). Suppose -4*x = -0*x - 4*y - 20, 2*x = -d*y + 4. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q + 2. Let o be 104956700\/(-15) - q\/(-6). Let r = o - -14097113. What is r rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 7:05 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1177815 and 30057?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h - 1. Let j be d(1). Suppose 0*b + 31 = a + b, -j*a + 68 = -4*b. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1825 + 2189. Which is the smallest value? (a) -0.3 (b) i (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170932 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 73345400.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhs when three letters picked without replacement from rhrshrrhrrrrhr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/9*66\/39. Let z = n - 1225\/234. What is the common denominator of z and 55\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/2)*(y\/(y\/y**(3\/5)))\/y)**(-23) assuming y is positive.\nAnswer: y**(-713\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 1:24 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 61552*j. Let k(z) = -13*z + 127. Calculate k(y(g)).\nAnswer: -800176*g + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63804)\/(-17178))\/((-8)\/(-7))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3431429*t - 3911881 with respect to t.\nAnswer: 3431429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 19*s. Let l(z) = -1264958*z**2. Determine l(j(m)).\nAnswer: -456649838*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 14*b**2 + 0*b**2 - 2*b**2 - 4*b**2 - 8*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 8*w + 3*i = -13314, 0 = -2*w + 2*i + 13314. List the prime factors of w.\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - y - 2850 = 0, 0 = 4*y - 7 + 19. Let v = -947 - x. Solve 2*f + 4 = -v*f - 2*z, -2*z = -3*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 6*y - 16. What is the tens digit of f(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1406589 = -48*v + 2*v - 438151. List the prime factors of v.\nAnswer: 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/46*324\/63?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, -52, 3, -3, -1 in increasing order.\nAnswer: -52, -4, -3, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 61*f**2 + 108*f + 629. Let v be (2\/3)\/((-3)\/9). Let p(a) = 6*a**2 + a + 1. What is the remainder when c(59) is divided by p(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151266\/13 - -11636. What is the smallest value in 0.04, 7, 2\/5, t?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -46. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*c - 32, l + 23 - 17 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((20 + -27 - 10) + -17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*l + 17 - 53, -2*d + 2*l + 26 = 0. What is the highest common factor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = 126. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*l - 72*l**2 - 141*l - 6 + 4 in the form p*l + n + m*l**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 5}. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 15. Let s = u - 8. Calculate the smallest common multiple of 22 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -35. Let y = 95 + -63. Calculate the greatest common divisor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-414)\/(-108) - (-1)\/(-3). Let g(h) be the second derivative of 11*h + 5\/12*h**4 + y*h**2 + 0*h**3 + 0. What is the first derivative of g(t) wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 25 = -5*f, -5*l - 3 - 37 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3251, -5104, -8191, -12512, -18067?\n\"Answer: -617*v**2 - 2*v - 2632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -136 - 21 + 360 - 20*j as n*j + g and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 672733471 + -672733143.000151. Let b = m - 328. Round b to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p**3 + 20*p**2 - 28. Let d(u) = u**3 - 3*u**2 - 1. Give -7*d(b) - k(b).\nAnswer: 8*b**3 + b**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 13*d**4\/12 + d**2\/2 - 11*d. Let v(y) = -8*y**2 + 3. Let b(j) = 10*j**2 - 4. Let n(g) = 3*b(g) + 4*v(g). Give n(p(k)).\nAnswer: -338*k**4 - 52*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.13 - 8653775?\nAnswer: -8653738.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 13*g + 42 = 0. Suppose 19 - g = -2*z - 3*f, 0 = z + 4*f + 16. Factor 3\/7*n**3 + z + 0*n**2 - 3\/7*n.\nAnswer: 3*n*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**8)**25 assuming x is positive.\nAnswer: x**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let y(b) be the second derivative of b**6\/45 - b**3\/6 - 7*b. Let j(m) be the second derivative of y(m). Give j(g(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190) + (sqrt(190) - (sqrt(190)*-2 + sqrt(190)))))\/(sqrt(70)\/(sqrt(42)\/sqrt(6))).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 641 + -348. Let r = t - 56. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:29 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74.06 + -74. Let w = t - 42.06. Let f = w - -47. Which is the biggest value? (a) f (b) -4\/11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1806 = -q - 13*q. Suppose 0 = 24*n - q - 15. Solve 2*h = -16 + n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412400?\nAnswer: 2, 3, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183607 or -183599?\nAnswer: -183607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1097 + -320. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 5. Let a(z) = -z**2 - z. Let p(r) = r**3 + 10*r**2 + 7*r - 6. Let k(w) = -4*a(w) - p(w). Let n be k(-5). List the prime factors of j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 + -0.36. Let n be (-7 - 0) + -6 + 5. Let c be n\/28 + 2\/56. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 3279924.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4\/9)*l\/l**(-1\/14))\/((l**(-7)\/l)\/l**2) assuming l is positive.\nAnswer: l**(1465\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 1. Let n be ((-14)\/8)\/((-4)\/16). Suppose -n*s + 4 = -3*s. Give t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*s + 40 = -6*s, 4*s = 8. Suppose 0 = n + 3*d - 4*d - 8, 0 = 5*n + 3*d - i. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67998 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 37\/(-102) + 344\/1032\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/10*22\/(-4) and (-202)\/40 - 0\/25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92327, 92727, 93127, 93527, 93927, 94327?\nAnswer: 94727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/5 + 7*l**4\/5 - 18*l**3\/5 + 22*l**2\/5 - 13*l\/5 + 3\/5.\nAnswer: -(l - 3)*(l - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 2, u: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 26 + 0)*(2 - 2 + 3*f).\nAnswer: 153*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*p**4*y**2 + p**2*y**3 + 1419*p**2 - 128*p*y + 13*p - 2*y**3 - 19*y - 10 wrt p.\nAnswer: 1896*p**2*y**2 + 2*y**3 + 2838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78566, 78571, 78580, 78593, 78610, 78631, 78656?\nAnswer: 78685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 48. What is the closest to f in 4, 0.3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 7) + ((-10)\/(-4))\/(861\/(-1386))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 55. What is the tens digit of (-1005)\/(-9) - z - 1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**3 - 127*m**2 + 109*m + 169. Determine b(-22).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 6 - 6)*(3*t - 3*t + 2*t) - 17*t - 14*t + 20*t - 4*t - 3*t + 5*t.\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2533 - -2533. Let n(w) = w**2 - w - 4. Determine n(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:50 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -76)*144\/45. What are the prime factors of (-4)\/26 + x\/(-39)?\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: 6, z: 5, b: 2}. What is prob of sequence zzb?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(162)*-6)\/(sqrt(54) + sqrt(162)\/sqrt(3)))\/(sqrt(576) + sqrt(576)*2 + sqrt(9)*3*6).\nAnswer: -sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81460, -81496, -81532, -81568?\n\"Answer: -36*r - 81424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 3*b**2\/2 - b - 16. Let s(p) = -2*p. Let l(j) = s(j) + z(j). Let k(h) = -9*h + 8. What is 3*k(o) + 24*l(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Let d be -8*2 + (69 - 59) - -3. Sort p, -27, d, -2 in increasing order.\nAnswer: -27, d, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 2*j**2 + 3*j + 2. Let i be g(-3). Let w be 2\/12 - (-8)\/i. Is -6 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76848 is divided by 160?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14409*d**3 + 8576*d**3 + 22883*d**3.\nAnswer: 45868*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49047 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and -57.\nAnswer: -56.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42725 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 80538 = -x + 735236, -4*l - 3273391 = -5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 8 + 0)*(22*b - 2*b + 14*b) to the form m + i*b and give i.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, o: 3}. Give prob of picking 3 r.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 81, 129, 175, 219, 261, 301?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k*((k**(2\/7)*k)\/k)\/k*k*k))))**(1\/42)\/(k**(-1)\/k**(-1)))**(-17) assuming k is positive.\nAnswer: k**(51\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1001\/10880 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:46 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3834860, 3834853, 3834842, 3834827, 3834808?\nAnswer: 3834785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*m = -210, 4*h = 7*h + 3*m - 210. What is the greatest common factor of 265 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2508170.7\nAnswer: -7524512.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose -3*u = -b*u. What is u rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1.062 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 g when four letters picked without replacement from vhgvvhvgvvvvgg.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - 2. Let o be f(2). Let s(x) = 128*x**2 - 637*x - 11. Let k be s(5). Solve 2*d + k = -v + o*v, -4*d - 3*v = 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1252 or -326900\/261?\nAnswer: -1252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263132700?\nAnswer: 2, 3, 5, 877109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-198)\/(-180) + (0 - 1). Let k(v) be the second derivative of -s*v**6 - 5\/2*v**3 + 0 + v + 3*v**2 + 3\/4*v**4 + 3\/20*v**5. Let k(l) = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(228) + sqrt(228) + (1*sqrt(228) + sqrt(228))*-5 + sqrt(228))*5)\/((sqrt(84)*-2*-1)\/(-6*sqrt(14)\/sqrt(2))))**2.\nAnswer: 837900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000098331149 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-1\/2))**(-1\/47))**(-6\/7))**29)**(4\/23) assuming h is positive.\nAnswer: h**(1044\/7567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from agugggggguuguau?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-419 + 4)*(-4)\/10. Suppose 2*j + 4*p - 793 = 41, -p = 4*j - 1661. What is the highest common factor of h and j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-476) - 747\/(-252)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r. Let g(u) = -u - 16. Let b be g(-7). What is the tens digit of i(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185*h**2*i**2 - 5168*h**2 - 2*h*i + 31*i**2 wrt i?\nAnswer: -370*h**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 0*d + d - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110615 divided by -22123.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 17 = -0. Let t = -11 - a. Suppose -2*f + t = y + 3*f, -2*f = y - 21. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49745, 397898, 1342885, 3183122, 6217025, 10743010?\nAnswer: 17059493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 44. Let b be ((-640)\/104 - -6) + (-2084)\/(-26). Suppose 260 = 12*h + b. Calculate the remainder when j is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 + 5*d**2 - 5*d - 3. Let t(p) = -4*p**3 + 4*p**2 - 4*p - 2. Calculate 4*m(l) - 5*t(l).\nAnswer: 4*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l\/l**(2\/7))\/l)*l\/l**(-2\/7)*((l**(-2)*l)\/l)\/(l\/(l*l\/l**4)) assuming l is positive.\nAnswer: l**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -1. Suppose 3*r = 4*v - 7*v + 129, 3*v = 2*r - 71. What is the highest common divisor of y and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(-4341*s**2 - 1185*s**2 - 4271*s**2 - 2075*s**2 - 2192*s**2).\nAnswer: -42192*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36472 - 51878 = -6*d. List the prime factors of d.\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 7*x - 6. Let y be k(6). Solve -4*p + 20 = -y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 48. Let i = z - 84. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 22*i**2 + 6*i - i - 19*i**2.\nAnswer: -44*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 432380897.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13*s. Let w be q(-1). Let k = 244 - 229. Let m = w + k. Solve -3*p + 3 = m*p + 4*g, -5*p - 7 = -g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 - 14 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*b + 9112, 3*y - 4*b = 3748 + 5356. Suppose -2164 = c + y. What is c rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + w + 103, j + 2*w - w = 53. Suppose 4*n - 2*s - 24 = 0, 5*s = -4*n - 0 + j. What is the least common multiple of 22 and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20342 is divided by 2950?\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.788 + -0.388. What is k rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slzm when four letters picked without replacement from {z: 1, l: 4, t: 4, k: 1, m: 1, s: 7}?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/15)\/(4\/(-20)). Suppose 0 = -5*p + 25, s + 4*p = 2*p + 14. Is (-74)\/3*a\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00248637 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*f - 3. What is the derivative of 12 - 5 - 6 - 16*j**f wrt j?\nAnswer: -32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -21?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 48. Let v = -18 + r. Let o = 4 + v. Solve 4*j + o = -k, -8*j + 5*k - 5 = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29133*f = -29117*f - 1117456. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54947.77 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 7. Let o be t(-12). Suppose 2*i + o*g = -0*i + 107, -2*i = -g - 101. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + ((-9)\/6)\/((-1)\/(-4)). Solve f*v - 4\/9*v**3 - 8\/9*v**2 + 2\/3*v**4 + 2\/9 + 4\/9*v**5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**26*l*l)\/l)\/l)\/l)\/(l*l*(l\/((l\/(l\/l**(-14\/3)))\/l))\/l*l*l) assuming l is positive.\nAnswer: l**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1065, 568, 1 in decreasing order.\nAnswer: 1065, 568, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14458 greater than 14457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -714213 + 4?\nAnswer: -71420a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27910 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 128819946 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/178 and -23\/267?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 9*j + 2. Give a(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**4\/2 - 7*b**3 + 3*b**2\/2 + b = 0. Calculate b.\nAnswer: -1, -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, 3, -956, -0.3, -3, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 183, -1, 2\/9, 3, -1\/6?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/12 - (-1)\/(-2). Suppose z*d - 6 = 6. What is the greatest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 4*s**7\/945 - s**6\/180 - s**5\/270 + 3*s**2. Solve a(c) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25427 is divided by 498.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 2*v - 5. Let f be x(-3). Suppose 11*s - 6*s = 0. Which is the nearest to f? (a) 3 (b) s (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/27*(-1)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 152 - 12 + 55 - 1710*q + 56 + 52 in the form m*q**2 + i*q + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -3.37\nAnswer: 40.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - 4*a**4 + 2*a**4 + (348*a - 73*a**3 - 348*a)*(1 - 1 + 2)*(0*a + 6*a + 2*a).\nAnswer: -1166*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 91\/(-308) - (30\/(-16))\/((-1310)\/(-524))\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*n**2*o**3 + 216*n**2*o - n*o**2 wrt o?\nAnswer: -930*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78 - 78 + 20*m**3 + (13*m**3 - 15*m**2 + 0*m**2 + 10*m**2)*(-2 + 1 - 1).\nAnswer: -6*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/2 - 55*q**4\/2 - 351*q**3 - 792*q**2 = 0. What is q?\nAnswer: -8, -3, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.4 + 9. Let s = 0.1 + l. Which is the closest to 0? (a) -1 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**4 - 408*u + 750?\nAnswer: -8*u**3 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16157641183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307229252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49504 is divided by 49502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -3. Let q(x) = -5*x - 9. Let l(a) = 3*a + 5. Let s(v) = -7*l(v) - 4*q(v). Let d(y) = 4*y - 8. Calculate c*s(b) - d(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r - 4. Suppose 0*l - 9 = -l. Let y = l + r. Solve y*g = 5*m - 3*m - 15, -4*m - 5 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 817 - 273 - 271 - 269 + 1963*l to the form j*l + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 + 36*k**2 - 7*k**2.\nAnswer: 46*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(20) + (sqrt(20) - sqrt(500)))**2 + -1 + (-1 + sqrt(20))*6.\nAnswer: 12*sqrt(5) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8bab9 (base 12) to base 2\nAnswer: -101101100001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000052741727 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 17. Suppose 3*m = i*m. Let b be (12 - m)*(-1)\/(-3). Solve -4*u = 16, 0 = 5*a - b*u - 12 - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/sqrt(8) - sqrt(26))*4)\/sqrt(2) + 5 + ((sqrt(195)\/sqrt(5)*1)\/(2*sqrt(108)))**2.\nAnswer: 733\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212032 (base 4) to base 12.\nAnswer: -61a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6a2 (base 12) to base 3\nAnswer: 1100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4327, -4435, -4545, -4657, -4771?\nAnswer: -4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 + 2 - (-21 + 28 + -23 + 9)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = u - 132, 0 = u + 2*u - 12. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l + 23. Give v(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*r**2 - 10460*r - 2783142.\nAnswer: 138*r - 10460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 8}. What is prob of picking 2 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -243321 divided by -81107\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -40. Suppose 7*x = g*x - 48. Solve -2*b + 15 - 4 = -5*h, -3*b + x = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2959, 2960, 2961, 2962, 2963, 2964?\n\"Answer: w + 2958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((0 + 2)\/(-1)). Let o be 14\/(-18) + 1 + j. Let g = -3.67 - 0.33. Which is the nearest to 0.1? (a) -0.3 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 970814.7 milligrams?\nAnswer: 0.9708147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 110 = -2*n - 0*i, 2*n + 4*i - 124 = 0. Let f = n - 88. What is the tens digit of (-2690)\/f + (-12)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*(-88)\/(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 5 + 13. Find the second derivative of 6*l**c - 11*l**2 - 2*l**3 - 38*l - 8*l**2 + 3*l**3 wrt l.\nAnswer: 6*l - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -327 (b) -2\/3 (c) 0.058 (d) 2 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1527624, 1527621, 1527618?\nAnswer: 1527615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1795 - 1786. Calculate the greatest common divisor of d and 1104.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30484*h**6 - 2*h**5 + 2*h**4 + 9502107*h**2?\nAnswer: 3658080*h**3 - 120*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1295493 (base 10) to base 7.\nAnswer: 14003643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z + 38 - 14*z - 88*z + 110*z. Give x(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6671635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sayaxrsauasu. Give prob of sequence us.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + 6*sqrt(68)*4)) + sqrt(68))\/(sqrt(64) + (sqrt(64)*1 - sqrt(64)) - sqrt(4)).\nAnswer: -23*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2809 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:43 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 42*s**2 - 21*s**2 - 32*s**2.\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4\/4 - o + 52. Determine s(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, -18.\nAnswer: -18, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234 - 5*b**5 - b**5 - 243)*(4 - 3 + 1).\nAnswer: -12*b**5 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/17))**(8\/7) assuming m is positive.\nAnswer: m**(16\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/364 and 37\/14?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191 + 4*n**2 - 10*n**2 + 1446 + 124 to s + g*n**2 + d*n and give s.\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n + 121. Give v(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*w**4 + 905*w**3 - 125*w + 245*w**2 + 4*w**4 - 520*w**3.\nAnswer: 5*w*(w + 1)*(w + 25)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 98. Suppose -h*f = -12*f - 10890. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12 + 0*f**2 + 10*f**2 + 0 - 8*f**2. Let q be b(12). Let y = 2205\/8 - q. Sort y, 1, 5, 2\/3.\nAnswer: y, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 337 and 7?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*o + a - 4*a, 0 = 4*o - 2*a - 178. Suppose -5*m = 5*s - 2 - o, 41 = 4*s + 3*m. Calculate the lowest common multiple of s and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664 + 664 - 75260*y.\nAnswer: -75260*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**6\/180 - z**5\/20 - 5*z**4\/72 + z**3\/3 - 12*z + 1. Factor n(o).\nAnswer: -o*(o - 1)*(o + 3)*(o + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156707279.6 take away 0.1?\nAnswer: 156707279.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/19? (a) -4\/3 (b) 4 (c) -41.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112120012 - -11?\nAnswer: 2112120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {g: 2, y: 2, c: 2, f: 6, d: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288113423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 15) to base 5.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*b + 769 = 518*b + 2*g, -2*g + 55 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 121*u + 3638. What is the remainder when s(-45) is divided by 64?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21515425 (base 7) to base 12\nAnswer: -754491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 66*q**2 + 577*q + 76. Calculate the remainder when s(-11) is divided by 103.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7140)\/(-306))\/(-35) + (-38)\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 149157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 638\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-96 - -103)\/42)\/(3\/16)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 7*q**2 - 4. Let r = 930 - 935. Let f(o) = 2*o**3 + 9 + 14*o**2 - 4*o - 2*o + 6*o. Let y(t) = r*p(t) - 2*f(t). Determine y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.1 - -118.1. Let d be 2\/8 - 91\/140. Which is the nearest to 2? (a) v (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyvvyvytrvf. Give prob of sequence rt.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -2\/209 (b) 2\/23 (c) 5 (d) -1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, 1 v, and 1 f when four letters picked without replacement from wvffvfkvvfffkfffvv.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.31865 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-139)\/(-2224)*194\/(-16) and 41\/24.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.038 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 216330079 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/9)\/((-2)\/(-6)). Let q = j + 3. Put q, -5, 4 in increasing order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*m**2 + 73*m**2 + 134*m**2 + 166*m**2 - 55*m**2 + 148*m**2.\nAnswer: 527*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254589, 254619, 254735, 254991, 255441, 256139, 257139, 258495?\nAnswer: 260261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = 9. Let p(f) be the third derivative of 0 + 5*f**2 - 1\/60*f**5 - 1\/3*f**3 - 13*f + 7\/24*f**4. Determine p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0*p = 4*a, 2*a - 3*p - 10 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2)\/(30 - 2). Let c = -15 + 11. What is the closest to m in 2, 5\/2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 4*u**2 + 5*u - 3*u**2 + 0*u - 7. Let p be f(-7). Is p\/(-2) - 1\/2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770 = 4*b + 6*b. 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: Let f(i) = i + 39. Let l be f(-10). Let z(t) = -t**2 + 30*t - 8. Let d be z(l). Calculate the highest common factor of 105 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170*966\/36225*(-45)\/(-4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55841644 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 15. Let i be v(-13). Let x(s) = -10*s + i*s**2 - 1 - 4 + 3*s - 8*s**2 - s**3. Calculate x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from nxer.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 7.3 * 2.5\nAnswer: 18.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 95.21. Let r = -3.79 - u. Let t = -21\/152 + 5\/152. What is the third smallest value in -1\/3, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(2448) + -2 + -2 + sqrt(2448) - (sqrt(2448) + 0)**2*-1)*-6 + 2).\nAnswer: -87960 - 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/378095 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1708)\/(-43554) + (-404)\/(-102)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 0.603?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3004979978 and -55\/12.\nAnswer: 18029879868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 87?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -32*h**2 + 61*h - 9. Calculate w(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-161)*(-2)\/2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 0*p**2 + p**2)*(-4*p + 6*p - 15*p)*(-2 - 2 + 2).\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.206574 nanoseconds in days?\nAnswer: 0.000000000001599613125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32 and -0.10398666.\nAnswer: 31.89601334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:48 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 - 33*k**2 - 31*k**2 + 141*k**2.\nAnswer: 93*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -1.4, -4, 0, 5, 246?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14514 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 3*x**2 - 4*x + 1. Let l be z(3). Suppose 5*q = 2*t + l, 3*t - t + 3*q - 16 = 0. Solve 5*f = -n + 18, 0*f + 4*f = -t*n + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806\/(-946) + (-8 - (8 + (6 - 0)*-3))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(35\/(-90)*-3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.136 in -4, -21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (123 - 120).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 43. Let r be -1 + q + -2 + 5. Calculate the highest common divisor of r and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 21 + 4. Let y = z + -11. Suppose y*d - d + 3*s - 138 = 0, 5*s - 59 = -2*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/15 + 1036\/105. Let a be 4*(815\/z - 3). Suppose -4*y + a = -158. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -26. Let r(h) be the third derivative of h**5\/60 + 11*h**4\/24 - 4*h**3\/3 + h**2 - 337*h. Let t be r(n). Put 3, t, -4, -1 in increasing order.\nAnswer: -4, -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*c = 0, -39 = 2*h - 3*c - 49 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 20*i - 20. Let f be v(8). Suppose -17*s + 10*s = -f. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**3\/3 - 1. Let u(t) be the third derivative of 7*t**4\/6 - 78*t**2 + 14. Determine l(u(v)).\nAnswer: -784*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)\/(w\/(w**(-7\/5)*w)) assuming w is positive.\nAnswer: w**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a03 (base 16) to base 8.\nAnswer: 465003","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-574)\/34 - 4\/(-34)) + (-22)\/2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 + (-1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47515, -95039, -142561, -190081?\nAnswer: -237599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/7, -0.07.\nAnswer: -2\/7, -0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -103*q**2 + 4*q - 4. Let r be u(2). Let d = r + 852. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**2 + 3*x + 2. Let q be y(-1). Let z be 140\/48 + -3 - q. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23 - -111) + 1\/(-1). Which is greater: r or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (2 + -6 + -3). Let c = 3 + 0. What is the second derivative of -o**5 - 7*o + c*o**a + 9*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7228 = -4*w, 37*v - 39*v = -2*w - 2902. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 101. Solve -211*f + 207*f - g = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - h. Let g(v) = 14*v + 41. Let d be g(-3). Let i(c) = c**2. Calculate d*z(b) - 4*i(b).\nAnswer: -7*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4830 or -4832?\nAnswer: -4830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -399 and -0.0162?\nAnswer: 6.4638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 - 37 - 38) + -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v - 3. Suppose -p = w - 5*w - 18, -2*p + 28 = -4*w. Let x be m(p). Let q = x + 104. Let n(h) = -5*h + 1. Let c(o) = -o. Give q*n(f) - 3*c(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -8 + 10 + 12 - 56?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796 a factor of 390354516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 24*g. Let x(v) = -18*v**2 + 3819*v - 3819*v + 4. What is x(y(w))?\nAnswer: -10368*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -971*d*l**2*u**3 + 3*l**2*u**2 + u**3 - 77*u wrt d?\nAnswer: -971*l**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {e: 6, o: 2, w: 1, j: 2, m: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i + 21. Let q(l) = -15*l - 45. Let a(h) = 6*q(h) + 13*t(h). Suppose 3*z = 10 + 17. Let s be a(z). Solve -26 = 5*r + 3*b, 5*r + 2*b = 3*r - s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + 73 + 1 - 110.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 4, 0.1, 41598 in ascending order.\nAnswer: 0.1, 2\/3, 4, 41598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3 - 7296740*q**2 - 14593477*q\/3 - 2432246\/3 = 0.\nAnswer: -2432246, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-5 - 2) - 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 14*j - 2*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*y**4 + y**2 - 1062 wrt y.\nAnswer: -380*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2853 + -5?\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2\/4 + 917157*d\/2 + 1834302 = 0.\nAnswer: -611434, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1085631 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68447780 - -9452220. Round n to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 6*r**2 - 21*r - 82. Calculate x(-9).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0, 13, -1\/2 in decreasing order.\nAnswer: 13, 0, -1\/2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2486028 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Sort -12, y, -2\/7.\nAnswer: -12, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30\/(-10) + (499\/(-4))\/(17\/(-68))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, n: 7, u: 8}. Give prob of picking 2 n.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4116 = -27*n + 17754. Calculate the greatest common divisor of 150 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5\/2*n**2 + 3 - 4*n. What is the units digit of c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 + 1 - (12 - (-8 - -16)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovnmnovnbw. Give prob of picking 1 v, 1 b, and 1 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4251905us in days?\nAnswer: 0.00000000022482859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1934 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*145 + -2 - 3. Let h = l - -44. Let c be 10*h\/2*1. Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7626 - 7016. What is the smallest common multiple of 244 and x?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 78*p**2 - 105*p + 755. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 + 5*q - 5. Let p be n(-5). Let k be 8\/3*225\/12. Calculate the greatest common divisor of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**4\/8 + 7*w**2. Let l(q) = -q. Calculate y(l(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26563026 (base 7) to base 15\nAnswer: -3369d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/2)*3. Let v(j) = j**2 - 1. Let k be v(a). Let c = k - -3. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 times 56\nAnswer: -6888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*n**2\/5 - 11448*n\/5 - 602.\nAnswer: -2*(n + 301)*(19*n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*l + 5*l. Let d be 2\/(0 + (-3 - -1)). What is the least common multiple of (-48)\/l*d*3 and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -4 - (sqrt(5) - (sqrt(15)\/sqrt(3) + -4)))**2.\nAnswer: -64*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 37*l + 2007 = 1591 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-19 + -1)) + (17 - 2) + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 5*l**4\/12 - 35*l**3\/9 + 25*l**2\/3 - 352. Factor q(f).\nAnswer: 5*f*(f - 5)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 27340*i**2 - 27337*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 5 + 0*l - 1\/2*l**2 - 3\/4*l**4 - 4\/3*l**3. Factor k(o).\nAnswer: -o*(o + 1)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14696900 rounded to the nearest one hundred thousand?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 8, -2223, -5 in increasing order.\nAnswer: -2223, -5, -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -51*o - 220. What is l(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = 2*r + 4, -5*f + 5*r = 10. Factor 0*o + 3\/4*o**5 + 3\/2*o**4 + 3\/4*o**3 + f*o**2 + 0.\nAnswer: 3*o**3*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.3 (c) -34\/265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x - 0. Let n be 12\/7 - 10\/(-35). What is the third derivative of -6*y**3 - x*y**n - 2*y**3 + 6*y**3 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s + 14. Let b(a) = a**2 - a - 2. Let v(w) = -w**3 + 20*w**2 - 37*w + 20. Let p be v(18). Let n(l) = p*b(l) + t(l). Let n(m) = 0. Calculate m.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 935280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.23 - 0.23. Let h = -17.9 + d. What is the nearest to h in -4\/9, -1\/9, 7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10801188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 2, 6, 12, 20, 30?\n\"Answer: v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 7*n\/2 - 4.\nAnswer: (n - 8)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -12. Suppose 3*b + 2*k = 1 - 2, 0 = 3*b - h*k - 13. Let w(l) = -l**2 - 2*l + 1. Let x be w(b). Sort 4, 3, x in descending order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x - 233*x = -655 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) 18 (b) -9 (c) 26\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1935.5 take away 1?\nAnswer: -1936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -757.420716 rounded to one decimal place?\nAnswer: -757.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 18, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (27 - 2) - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 26*x - 26*x + 2*x**4 + 2*x**2 + 3*x**4 + 2*x**4 - 3*x**4 + (-x + x - 2*x**2)*(-3*x - x**2 + 3*x).\nAnswer: 6*x**4 + 2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380\/6 + -3 - (-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -627b3 (base 12) in base 2?\nAnswer: -11111011111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -11, -30, -65, -122?\n\"Answer: -l**3 + l**2 - 5*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let f(m) be the second derivative of -7*m**3\/2 + 2*m. Determine s(f(a)).\nAnswer: 441*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 1077*j**2 - 20577*j - 561105.\nAnswer: -3*(j - 337)*(j - 37)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 - 4 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 331 + -215. Suppose n*x = 120*x - 540. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143 + 148. Let l = -0.2 + 0.5. Let y = l + 0.7. Which is the closest to y? (a) u (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354618 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5. Suppose o*i + 2*i = 8. Suppose s - i*h - 56 = -s, -5*h - 7 = s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6*8\/(-6). Let h(d) = 2*d. Let m be h(w). Factor o**4 + 4 + o**3 - m.\nAnswer: o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 8:30 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2067525 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218438?\nAnswer: 2, 3, 13, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551429 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3012203 (base 5) to base 6\nAnswer: 1005151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 884 + 1169 + 25 - 35 + 3*n in the form a*n + b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 1431*z - 48937. What is k(36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m - 3. Let q be o(-11). Suppose -6*b = 31 - 85. What is the units digit of (-3)\/(2\/(q\/b))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from ibbbbbbbbbbbbbbbbbb.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -457, 5, 74, -2, -4.\nAnswer: -457, -8, -4, -2, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwixxwxxxwiwix.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 107. Let s be (6\/(-12))\/((-4)\/(-184)). Is 15 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 848104 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 19*r**2 + 38*r + 51. Let u be m(-21). Suppose -9*j + 12*j = u. What is the smallest common multiple of j and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y = -30 - 70 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.597 + -0.6. Round c to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 3:35 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 2*c - c)*(34 - 62 + 36) to the form o*c + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Suppose 2*g - g = -4*l + 27, -5*g = 2*l - 45. Let x(w) = -534 + g*w**2 + 10*w**2 - 2*w**2 + 532. Give o(x(t)).\nAnswer: -30*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:44 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + w - 97547*w**2 - 5 - w.\nAnswer: -97547*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (7 + 27 + -19)) + 43 + 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 100*h**2 - 556*h + 48. What is y(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/21 - 1244*i**2\/21 - 36296*i\/3 - 813904 = 0.\nAnswer: -258, -182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*t + 17 - 33, 2*t - 378 = -97*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (173694\/(-3))\/2*(12 + -14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 499*s\/6 - 83\/3.\nAnswer: -(s - 166)*(3*s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*c**2 - 21*c**2 - 10*c**2)*(26 - 21 + 22).\nAnswer: -2106*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45925 and 45.\nAnswer: 45970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/17 + 18536*n**2\/17 + 517832*n\/17 + 3622080\/17 = 0. What is n?\nAnswer: -9240, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 + 24*o - 2417. Let z(j) = -6*j**2 + 36*j - 2417. Calculate 3*a(n) - 2*z(n).\nAnswer: -3*n**2 - 2417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.062746566 + 2687\nAnswer: 2686.937253434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300300 - 112312?\nAnswer: -3013212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315*(-12)\/(-14742)*(-7)\/((-70)\/(-24)).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**5))**(3\/20) assuming u is positive.\nAnswer: u**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -475*v + 151.\nAnswer: -475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmt when three letters picked without replacement from {m: 1, v: 1, c: 1, t: 1, r: 6, n: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13923 - 13919. Solve 3 = -4*w + v*j + 23, -2*w = 3*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r - 17. Let s(j) = 6*j - 6. Let t be s(2). Sort 0, t, r.\nAnswer: r, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*l + 733, 5*l + 42*d = 45*d + 1220. Solve -i + 236 = l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 106 + 101 - 14*p - 7*p**3 + 0*p - p**3 to i + o*p**3 + z*p**2 + k*p and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.148311 rounded to zero decimal places?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(5) + 6*sqrt(25)\/sqrt(5)))**2 + (sqrt(360)\/(sqrt(12)*-1))\/(sqrt(18)\/sqrt(48)).\nAnswer: 122*sqrt(5) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 7*z - 2. Determine f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559527?\nAnswer: 3, 41, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.445 plus -0.3?\nAnswer: 456.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1 + (-32 + 4)\/(-7). Suppose -4*c - 35 = -3*j - 9, g*j + 5*c = 2. Solve -3*z = -0*z + j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -68.1. Let w = n + 6. Which is the second smallest value? (a) w (b) -5 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 976*l**2 - 10*l + 973. Let w(o) = -1955*o**2 + 25*o - 1946. Let x(t) = -5*d(t) - 2*w(t). What is the derivative of x(f) wrt f?\nAnswer: -1940*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 405746*v - 8 + 4.\nAnswer: -405746*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003939135703 to six decimal places.\nAnswer: -0.003939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -29 (b) -1\/3 (c) -7 (d) -1 (e) 3\/8 (f) -2\/15 (g) -840\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 396, 793, 1340, 2031, 2860, 3821, 4908?\nAnswer: 6115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1590462547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -37. Let m be o\/16 + (-2)\/8. Let j = -8.7 - -9. Sort -0.2, j, m in ascending order.\nAnswer: m, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/540)\/((-5)\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 525 and 4200.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -q - 0*q - 5, 2*q + 5*o = 16. Let b be (0\/4)\/(-2 + q). Suppose b*d - 55 = -5*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-24))\/(16\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6692*q - 25. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 1361075102.\nAnswer: 1361075101.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k + 925*k**3 + 23*k + 22*k - 66*k.\nAnswer: 925*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 6 = -7 + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 4680*x - 9376.\nAnswer: 4*(x - 2)*(x + 1172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2118090 divided by 211809\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 101580*z + 8256 = 101592*z. Calculate the greatest common divisor of 368 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1419)\/2310 + (-29)\/(-10) + -3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.033 in -5\/3, 0.5, -5, -3.4, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12369 and 3534?\nAnswer: 24738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 208584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:42 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 363. Round k to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 2*p**2 + 5*p + 1. Let d be i(-4). Suppose 55 = -2*m - d. Let q be 21\/28 - m\/8. Solve 7*a - 3*a + 5*c + 13 = 0, 0 = 5*c + q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-24)\/736)\/((-15)\/155) and -15\/38?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**2 - 1011*q - 21743. Give c(-31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {u: 2, v: 4, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21*d - d**2 + 3*d**3 + 16*d - 60*d + 22*d. Determine g(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 q when four letters picked without replacement from bqqqqqqqqbqqqqqqqqqq.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 347879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2510471, 10041864, 22594185, 40167434, 62761611, 90376716?\n\"Answer: 2510464*g**2 + g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17.8*564\nAnswer: 10039.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(4*sqrt(176)) + sqrt(500) + -2 + -5.\nAnswer: -7 + 161*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + -0.3. Let d = -0.4 - -0.9. Let b = d + -0.5. What is the biggest value in s, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 31*a - 3846. Calculate u(101).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1469 - -2949\/2. Which is the second biggest value? (a) -1 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 252442478521281\nAnswer: 252442478521280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + 233*c**2 + 356*c - 222. Suppose -2*n - 121 = -3*l, -4*l = -3*n - 0*n - 161. What is the remainder when l is divided by m(118)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 2416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*u + 5*m + 40, 2*u - 6 = -3*m. Suppose -u*g = -g - 50. Suppose 4*z = 2*q + 8, -q + 2 = 2*z - 2. Calculate the lowest common multiple of g and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56930, 114868, 172808, 230750, 288694, 346640, 404588?\nAnswer: 462538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18829393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/(-18) - -1) + (-38)\/(-9). Let r = -11 - -16. Suppose s*h - 4*p = 52, r*p - 36 = -4*h + p. Solve 0 = -5*d + 36 - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16102 and 506.\nAnswer: 4073806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 69*c - 1020. What is the smallest common multiple of d(15) and 129?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/32*(-14)\/8*(-140)\/49.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/22*((-30)\/(-18))\/(10\/(-165))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4093084 divided by 86.\nAnswer: -47594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*x**2 + 3 + x - 4 to the form k*x**2 + j*x + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5091.111311 and -5?\nAnswer: 5086.111311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4485.93571 - 4462.932. Let o = 23 - x. What is o rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*z - z - 12)*(-z + 2*z + 7*z) to r + n*z**2 + o*z and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0095*0.4\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -409*q + 11 + 6 - 17 to the form m + c*q and give c.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(14\/3))\/(21\/(-28))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*q**2\/5 + 39804*q\/5 - 9952\/5.\nAnswer: 4*(q + 2488)*(4*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11232232202 (base 4) to base 7.\nAnswer: -15524225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.304 - 2.3. What is k rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -3089\/236?\nAnswer: -3089\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 0*o + 3*o - 2*o. What is u(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2420)*1)\/((-4*sqrt(60))\/sqrt(6)) + 2 + 2)*-2.\nAnswer: -4 + 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 28*x + 53*x + 17 - 38*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - d + 2*d + 0*d + d + (5 - 5 + 1)*(-39908 + 310*d + 39908)*(4 + 4 - 5) to the form r*d + s and give r.\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/3))**1\/(g\/(((g\/(g\/(g**0\/g)))\/g)\/g))**(-36) assuming g is positive.\nAnswer: g**(436\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -869208 = -12*i - 12*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*c - 2862. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-265)\/848*8\/(-10). Factor 0*w - 3\/4*w**4 + w**5 + 0*w**2 + 0 - s*w**3.\nAnswer: w**3*(w - 1)*(4*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 9229 - 9059 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*2*(-1)\/2. Let b(c) = -5*c**2 - 2*c - 2. Let v(p) = -6*p**2 + 31*p - 35*p - 5*p**2 - 5. What is s*b(z) + 3*v(z)?\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 223 + -205 + (-1 - 1 - -11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 81*s**2 - 3057*s + 10. Determine t(28).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + v, -4*v - 42 + 8 = 2*i. Put -1, 25, i, 1, -4 in decreasing order.\nAnswer: 25, 1, -1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - a2860c?\nAnswer: -a285ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - c - 1. Let s be n(-1). Let f = s - 4. Suppose -f*w + 159 = w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4401, -4399, -4397, -4395, -4393?\n\"Answer: 2*h - 4403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1694, -1697, -1700, -1703, -1706?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 54210 = 2*x, -2*x + 53219 + 943 = -3*v. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -109\/2*s**2 - 158 - 165*s. What is the derivative of l(f) wrt f?\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751622741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1626 and 55\/108.\nAnswer: 29268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/84 + (-2)\/3)\/(2\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/(-30) - (-15)\/(-18). Let g(b) = 43*b - 20. Does 4 divide g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-6)*((-64)\/20 + 3). Which is the biggest value? (a) 2 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1806507?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1331) + 0) - ((sqrt(1331) + sqrt(1331)*1 - sqrt(1331)) + sqrt(1331) + -2 - sqrt(1331)))*-4 - (2 + -4 + -1*sqrt(1331) + 0))**2.\nAnswer: 2508*sqrt(11) + 480527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/49*(-14)\/24. Let b = 143\/866 - -2\/1299. What is p in 1\/6*p**3 + 0 - b*p + h*p**4 - 1\/6*p**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 9)*1*4. Let g(o) = o**2 + 6*o - 11. Let s be g(r). Suppose s*a + 30 = 5*c, -2*c - 4 = -5*a - 22. What is the greatest common divisor of c and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/v**(2\/23)*v)\/v)\/v**(8\/13))\/((v\/(v**(-16\/3)\/v))\/v)**(-41))**(1\/24) assuming v is positive.\nAnswer: v**(234085\/21528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 b, and 1 s when four letters picked without replacement from {i: 1, b: 8, s: 4}.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137678, -137125, -136572, -136019?\nAnswer: -135466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let j(d) = -d - 1. Let m be j(-4). Let k be z(m). Let i be -1 - k - 4\/(-2). Is 3 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3976*n**3 + 3*n**2 + 3*n - 5. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of ((-27)\/(-18) + -2 + -1)*-3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/12)\/(4\/564). Let z = y + 71. What is the greatest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23d (base 15) to base 13\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/95*(90\/(-9))\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27128.1 - 589029?\nAnswer: -616157.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -30*a + 116. Give k(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9767182 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 38*x**2 + 108*x - 2679. Let i(m) = m**2 - 3*m + 2. Let q be i(6). Suppose -3*r + 46 = -q. Calculate the remainder when r is divided by o(39).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 - 4. Suppose t = -4*d - 4, 0 = -4*d + 6*d + c*t + 16. What is the units digit of (1 + d)\/(3\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -19 (b) -14 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**2 + 3*w - 6. Let q(h) = -18*h**2 + 11*h - 22. Let y(i) = 22*c(i) - 6*q(i). Let j(s) = s**2 + 120*s. Determine j(y(z)).\nAnswer: 4*z**4 - 240*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**2 - 639327*z**3 + 639322*z**3 + 14*z**2 - 50*z**2 + 16*z**2.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 119398\/3*24\/16*10. Suppose -5738450 = -60*n - q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -2922?\nAnswer: -291c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2304 or -2300?\nAnswer: -2300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*s - 3 + (-2 + 0 + 0)*(0*s - 2*s + 0*s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g**4 - 2*g**3 - 7*g + 2. Let z(s) = -27*s**4 + 5*s**3 + 14*s - 5. Let y(d) = -5*c(d) - 2*z(d). What is the second derivative of y(w) wrt w?\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 7)\/(3\/16). Suppose -5*l + 4*m + 16 = -2*l, 5*l = 4*m + h. Solve l = -0*a - 5*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39904 + -39903.9659865. Let t = l - 0.034. What is t rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3)*s*s*s**(2\/7)*((((s\/s**(-1))\/s)\/s*s)\/s)**0)**(-10) assuming s is positive.\nAnswer: s**(-440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*w = 96*w - 78. Let h be (-2 - -1)*(-2 + 0). Let g(k) = k**h - 5*k + k - 7 + 0*k**2. Calculate g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 24508?\nAnswer: 24503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 1.2. Let z be (-9)\/12 - (-21)\/60. Which is the biggest value? (a) u (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889.4613ug to nanograms.\nAnswer: 889461.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 + -147. Suppose 5*h - 4*h = 0. Suppose 4 = -h*j + 2*j. Solve 3*y + 2*v = b, -j*y - v - 7 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*n = -5*n + 184, 396 = 4*z - 4*n. Let f = z + -97. Solve f - 5 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u**2 - 6*u + 22. Does 29 divide h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 7*h - 33 + (-3 + h + 3)*(-5 + 0 + 3) + 2*h + 2*h - 3*h + 3 - 3 + 2*h - 4*h - 2*h + 2*h to the form w + u*h and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10601.\nAnswer: 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*c - 90 = 4*c, 2*b = 5*c + 98. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(4\/(-80)*3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*m + 238, 2*m + 0*m + 6 = 0. Suppose -3*h - h = 5*d + a, 3*h = -2*d - 40. Is 14 a factor of 5816\/52 + h\/(-78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 228. Let j be l(33). Let r be 19 + (-3 - 5\/(j\/(-12))). Solve -3*d = -8*d + 4*s + r, 4*s = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1105, 2237, 3395, 4591, 5837, 7145, 8527?\n\"Answer: 2*h**3 + h**2 + 1115*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23526 - -8888?\nAnswer: 33525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(1*1\/105). Let w(k) = -k**3 - 14*k**2 + 29*k - 13. Let p be w(-16). What is the highest common factor of p and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 - -3693066?\nAnswer: 3693065.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 26*j**2 - 48*j - 1. Let a be x(-24). Let h be (a + -4)*1 + (-19 - -17). Let b(g) = -g**3 + 2*g**2 + 6*g + 14. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 12*p\/5 - 16\/5.\nAnswer: -2*(p + 2)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -3 + (7 - (6 - -2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2\/(-1))\/38)\/((-4)\/(-32)). Let d be 2\/18 - (-140)\/(-126). Is d greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {y: 5, h: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104880 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - 0. Let z be (-3)\/(-4) + (-369)\/b. Let f be (1\/2)\/(z\/66). Solve -i - 5 - 1 = -2*w, w - 3*i - f = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(99\/(-22)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/(s\/s**(-1\/6)))))\/s)\/s)\/s*s*s\/(s**(1\/12)*s) assuming s is positive.\nAnswer: s**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-2 - sqrt(200)) + sqrt(200) - sqrt(200))\/((sqrt(100) + sqrt(100) + sqrt(100) + (sqrt(100)*2 - sqrt(100)))\/sqrt(10)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -617.8 and 3561?\nAnswer: 4178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4 - 33\/22. Suppose u = 4*l - 5*l + 23. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 68 = -6*f. Solve -f*i + 6*i = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 21.24. Let s = -0.24 + p. Let v = 0.49 - 0.79. Which is the second smallest value? (a) s (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*z - z. Let d be 0 + (-1)\/(z\/(-4)). Suppose -2*n + 6 = -2. Which is the nearest to 2? (a) d (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + 26 + 1 + -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -287184.\nAnswer: -287183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 8.97.\nAnswer: -8.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:55 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 15*b**2 + 24*b - 4. Let p be t(-13). Suppose -2*x + 3*z - 18 = 0, 2*z = x + x + p. Put x, -5\/2, -2, -2\/5 in ascending order.\nAnswer: x, -5\/2, -2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850793570.\nAnswer: 2, 5, 11, 59, 337, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 853615108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53724180751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2752255910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/5)\/x**(-5))**(-15) assuming x is positive.\nAnswer: x**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 less than 480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (137\/(-8631))\/(2\/6). Which is bigger: o or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 37.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1100)*2*-4)**2.\nAnswer: 2534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1117*p**2 + 1889*p?\nAnswer: -2234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -p - 2*n + 488, 3*p - 1449 = -2*n. Solve 0*x**3 - 72*x - 15*x**2 - p + 409 + x**3 = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) - -4*sqrt(150))\/(sqrt(21)\/(sqrt(28)\/sqrt(4))).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143.02 - -139.02. Sort -1\/5, -0.1, b, -10\/7, 2\/13 in descending order.\nAnswer: 2\/13, -0.1, -1\/5, -10\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 40. Let g = -0.3 + 0.1. What is the nearest to g in j, 0.5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 780844*g**2 - 517462 wrt g?\nAnswer: 1561688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -2.9 (c) -22 (d) 8.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p + 1. Let h be q(2). Let u be (6\/(-8))\/(h\/(-4)). Let v be -3 - (-20)\/4 - -1. Put 1, v, u in increasing order.\nAnswer: u, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647932 is divided by 1187.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**5 - 41*o**4\/2 + 609*o**3 + 3852*o**2 + 5184*o = 0.\nAnswer: -48\/5, -9\/2, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1986 - 237920*h**2 - 1986 + 237922*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90669.74 millennia to months.\nAnswer: 1088036880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1303, 3, -7, 2, 6 in descending order.\nAnswer: 6, 3, 2, -7, -1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + t)*(t**3 - t**3 - 4*t**3 + 2*t**4).\nAnswer: -2*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 7*m**2 + 9*m + 2. Let k be -12 - (126\/(-35) + (-2)\/5). Determine t(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*-3*-4 - sqrt(102)) + (-1*sqrt(102) - sqrt(102))*-6)\/(4*(sqrt(486) + (-1*sqrt(486) - sqrt(486) - sqrt(486)))*-4))**2.\nAnswer: 8993\/82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 4*h**7\/35 + h**6\/6 - h**5\/3 - 5*h**4\/6 - 2*h**3\/3 - 2*h**2 - 15*h. Suppose k(y) = 0. What is y?\nAnswer: -1, -1\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/9)\/((-46)\/9 + 6). What is the closest to u in 3\/5, -1\/4, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 556 - 2489?\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 3*i + 3*i)*(-i + 0*i + 2*i + (-98 + 13 - 3)*(-3 + 2 - 2*i - 1)) as w*i + j*i**2 + z and give j.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66647, -124843, -183037, -241229, -299419, -357607?\nAnswer: -415793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*a + 0*a + 95*a - 5952 = 0 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 17, 5 in decreasing order.\nAnswer: 17, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - q - 8. Suppose -15*m + 12*m = 0. Suppose -3*n = -4*o + 34, 4*o - o - 3*n - 27 = m. Let i(x) = 2*x**2 + x + 7. What is o*i(p) + 6*s(p)?\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*n + 5*n**2 + n**2 + 6*n**2 - 11*n**2 + 0*n**2.\nAnswer: n**2 - 212*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 2*d. Let c(m) = -2*m**3 + 2*m**2 - 2*m - 4. Let h(s) = c(s) + 2*n(s). Factor h(y).\nAnswer: -2*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/7 + 72*r**3\/7 + 570*r**2\/7 - 1444*r\/7 = 0.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 divided by -374?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - 94*c**2 + 29*c**2 + 33*c**2.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*a + 2*p, 3*a - 2*p = -0*a + 7. What is the nearest to -1 in -0.5, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.030349 rounded to two dps?\nAnswer: 4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424 = -7*s + 473 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7 + 2*s + 14 - 27. Let d(c) = -3*c + 15. Let r(i) = 2*d(i) + 5*f(i). Let l(o) = 8*o. Calculate l(r(a)).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z - 48*z - 10*t - 190 = 0, 977 = -4*z + 87*t + 2630 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002650867 rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714395.7ml to litres.\nAnswer: 714.3957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1065441096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 + a + 53. What is r(0)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 5*n - 7*n - 9*n + 17*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/8 + y**3\/6 + y**2. Let q(i) be the first derivative of s(i). What are the prime factors of q(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-3))\/(4*39\/1716)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - -12. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -64. Suppose b = 6*t + 450 - 1248. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305900 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855*x - 32 = -851*x - r, -30 = 2*x - 4*r. Let i = 4 - -3. Let u(h) = -h + 3 - h**3 + 3 - 5 + 2 - i*h**2. What is u(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 60376?\nAnswer: -60375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-50) - 68\/(-20). Solve 3*x + 0*x + n = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (400\/24)\/((-1)\/48). Round h to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 10. Let p(l) = -2*l - 20. Let y(d) = 6*p(d) + 11*r(d). Let m be y(-10). Suppose -5*v + v + 8 = m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 10604540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 12779.3 and -165752.\nAnswer: -152972.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(-22 + 21455\/980).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**5\/4 - a**3\/6 + a**2\/2 + 3*a. Let u be (10 - (-18)\/(-3)) + 2\/(-2). Suppose -k = -u*k + 2. Determine m(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155 by 7503.\nAnswer: 155\/7503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 7*p. Let s(w) = -4*w - 7. Let q be s(-4). Let j be 11\/9 + (-2)\/q. Put p, j, 2 in ascending order.\nAnswer: p, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/7))**(-3\/20) assuming f is positive.\nAnswer: f**(-9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 3*x + 20, 2*s = -29*x + 33*x + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3124 + 211241?\nAnswer: 203112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - 3. Give w(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.067144 * 70.\nAnswer: -4.70008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 f when four letters picked without replacement from sfsn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (3 + (-1 - 1) - ((49 - 4) + -47))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*d - 3, 15*n = 11*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f*(f\/(f*f\/(((f**(-28)*f*f)\/f)\/f)))\/f)\/f)\/f*f)**(3\/4) assuming f is positive.\nAnswer: f**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 6*o = 9. Suppose 2*r = 5*r - 9. Suppose 2*s = -4*b + 6*b + 32, r*s - 30 = -o*b. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 380*s - 14491. What is k(43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -82299\/15937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3))**(2\/77)\/(y**(-6)\/(y*y**(1\/30))) assuming y is positive.\nAnswer: y**(16067\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - b + 4 = -2*s, -3*s + 4*b = 16. Suppose 3*w = -p + 110, 2*p - 7*p + 2*w + 567 = s. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42593984 divided by -7694\nAnswer: -5536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 2*i**2 + 2*i + 1. Let c be d(-3). Suppose 5*n = -c*o + 216, 2*n - 2*o - 60 = 3*o. Suppose 2*m - 6*m = -n. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*q + 3 = -0*q, 5*y - 3*q - 24 = 0. Suppose -4*s = y*z - 207, 5*s = -3*z + 2*z + 245. Calculate the lowest common multiple of 14 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140 - 140 - 14*c - 4*c**2)*(-7 + 7 + 4*c**2).\nAnswer: -16*c**4 - 56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:25 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6194?\nAnswer: 2, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 51\/9)\/(26\/39). Which is the closest to 26.1? (a) -0.2 (b) h (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -2, -1\/8, -6539353 in descending order.\nAnswer: -2\/17, -1\/8, -2, -6539353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/20160 + q**7\/840 + 7*q**6\/720 + q**5\/20 - 4*q**2. Let o(m) be the third derivative of v(m). Determine o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2511, 0, -0.3, -1, 137 in decreasing order.\nAnswer: 137, 0, -0.3, -1, -2, -2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11296\/261 + -392\/9. Let x = 2369\/348 - n. Let j = 126279\/16 + -7887. Find the common denominator of x and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 2*q - 12. What is t(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lho when three letters picked without replacement from {l: 2, o: 1, t: 1, h: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.2 - 31.47. Which is smaller: q or 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -209a91?\nAnswer: -209a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by (-8)\/6*(-4704)\/64?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 3, d: 4, f: 2, y: 1}. Give prob of picking 1 q, 1 z, and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 16*a - 6*a)*(0 + 3 + 0) + 81 + 81 - 162 + 1054*a.\nAnswer: 1087*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 9*n**2 - 2*n - 12. Calculate the least common multiple of 33 and v(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {z: 2, r: 10, c: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -61. Which is smaller: j or -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 39. Suppose -3*c + 3*n = q - 94, 0 = -2*n + 10. Calculate the remainder when c is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212379?\nAnswer: 3, 70793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 1 - (sqrt(275) + 2).\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1389 and 193308.\nAnswer: 89501604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -1. Let i = -98 + 139. Let u = i - 40.5. Which is the nearest to o? (a) 3 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 271865, 543744, 815625, 1087508, 1359393, 1631280?\n\"Answer: w**2 + 271876*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Find the first derivative of -q*t + 0 + t - 2 wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4 + -3)\/(2\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1086*s = 1145*s + 649 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 3*s + s + (1 - 2 - 1)*(4*s - 3*s - 3*s) + 26 + 2*s - 13 - 3*s.\nAnswer: 5*s + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k - k)*(9*k - 21*k + 3*k) + (-3 + 1 + 1)*(k**2 - k**2 + 2*k**2).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3489 = -579*v + 1558 - 7912 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*k - 34, 25*k - 114 = 16*k - 3*l for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/340 and 73\/340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 439667747 a multiple of 3841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 2207)\/(392\/(-2940))?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -18 + 235. Let a = 89 - l. Calculate the greatest common divisor of a and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhff when four letters picked without replacement from {f: 7, h: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.14 (b) -10\/161 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose -3*y + 2*y + 3 = 0. Suppose -83*t - 31 = -84*t + 4*s, 17*t = -4*s + 95. Solve v = 2*i - l + t, 3*i - y*l + 30 = -8*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c + 2. Let w = c - -3. Suppose -2*s = w*s - 108. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + 128 - (37 + -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from xthwhhb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9316396?\nAnswer: 2, 173, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d + 5*f, f + 0*f = 5*d - 25. Let g(i) = -9*i**2 + 0*i**2 + 8*i**2 + 2*i**2 - 4*i - 2. Let m be g(d). Let p(k) = -k**2 + 4*k - 2. What is p(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14557648 by 27364.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(-1)\/((-2)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - 274. Let l = 2079\/16 + d. What is the nearest to -1 in l, -4\/3, 1\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26877 or 1?\nAnswer: -26877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a22 + -66?\nAnswer: 49ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r - 20. Let l(m) = 3*m + 10. Let o(c) = 9*l(c) + 4*v(c). Let w be o(3). Suppose 0 = -w*t + 11*t - 8620. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 936 = 24*k + 58*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)\/t)\/t*t**(-7))\/(t**(2\/5)*t**(4\/5))*(t**8*t**4*t)\/(t*t**0*t\/((t\/(t*(t*t*t**(-3))\/t)*t)\/t)) assuming t is positive.\nAnswer: t**(116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)*1 - -5. Let h = 3996 + -3996. Which is the nearest to -2\/9? (a) -2\/3 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27944776 to the nearest integer?\nAnswer: 5286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.851 - -0.149. Let l = r - 16. Let q = l - 46.999906. Round q to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.53934 minus 15096?\nAnswer: -14886.46066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 6*m**2 + 5. Let o(g) = g**2 - 5*g + 12. Let f be o(3). Let d be l(f). Find the second derivative of -27*j + d*j**2 + 4*j**2 + 2*j wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1498 * -1\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18329194.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouaiagi. What is prob of sequence go?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 + 3648*s + 25389 = 0.\nAnswer: -1209, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1*-2*sqrt(117) + sqrt(117))\/(sqrt(27)\/(sqrt(27)\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97.7 - -0.28.\nAnswer: -97.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 3*u - 1. Let n be p(-3). What is the second derivative of -3*k**3 + 3*k - n*k - 4*k wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 10 = -4*j, 6*c - 4*j - 3391 = -3419 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2649 by 5.\nAnswer: -2649\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2 + 226620*d - 226617 = 0.\nAnswer: 1, 75539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a + -76b?\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31489\/6 + -5232. Let q be (264 - -2)\/((-18)\/5). Let z = 71 + q. Find the common denominator of z and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2927671473 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 92338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(((sqrt(66) - (sqrt(66) - 3*-2*sqrt(66)))\/sqrt(2))\/(-3*(sqrt(539) + -1*sqrt(539) - sqrt(11))) + 0)**2.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2612, 29, -2, -24 in decreasing order.\nAnswer: 29, 4, -2, -24, -2612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8*(-15)\/6. Let w = 8 - 5. Let c be 1\/(-3) - 16\/(-3). What is the third biggest value in z, w, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:58 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.44 and 10.554?\nAnswer: 321.26376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 64. Let j(n) be the first derivative of w*n + 2\/3*n**3 + 1\/4*n**4 - 1\/5*n**5 + 0*n**2 - 2. Suppose j(g) = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*c + 802*c - 64812 = 3466*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9003560*i**3 - 18913127 wrt i.\nAnswer: -27010680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*m + 10*m + 86 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157\/720 + -1\/240. Which is the nearest to 11? (a) 0.4 (b) j (c) -3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122.57 - 122. Let q = -0.338 - -0.761. Let p = n - q. What is p rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 695\/(-25) - 2\/10. Let j be 35\/s*95*-320. What is j rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 485232083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 19*r + 80. Let v be j(6). Suppose 2*f + 2*x + 3463 = 3*f, -v*x = 6. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6610 + -5584. What is the highest common divisor of z and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*z - 38 = 0, -3*z = -5*n - 28 + 166. What is the second biggest value in -2\/9, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.499629 minutes?\nAnswer: 89.97774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4092, -6, 1, 2, -0.4, 28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Find the second derivative of -8*o**4 + 8*o**g + 9*o + 3*o - 11*o**4 wrt o.\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 352*r**2 - 2732*r - 6880.\nAnswer: -(r - 344)*(r - 10)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194121 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*1384\/(-692)*(-8)\/(-50).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163574226799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 587 - 587. Let a(i) be the first derivative of 0*i**2 + u*i - 1\/3*i**3 - 2. Let v(k) = 2*k**2. What is v(a(x))?\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**2 - 34*b + 119. Let f be j(-8). Solve -f = -16*o + 57 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 2550\/67?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373 - -622. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*s**2 - 57*s**2 + 2 + 3*s**3 - s**3 - 4*s + 112*s**2 + 2*s to the form r + h*s + u*s**3 + f*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(130) - sqrt(130)*1))\/((2*sqrt(10) - sqrt(10))*2) + sqrt(637)*2 + -4 + sqrt(104)\/sqrt(2) + 5.\nAnswer: 1 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21*48\/(-56) + 1005 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - x + 6*x + 136, 0 = -d + 4*x + 23. Let t(u) = -33 - 13*u + 25*u + d*u + 0*u**3 + 32*u**2 + u**3. Is t(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3029*u = -3133*u - 6864 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10100111?\nAnswer: 10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/12*((-1)\/9)\/(266\/3591)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3218536 is divided by 1072844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 598 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2095*v**2 + 4*v**3 + 2*v**3 - 2*v**3 + 2106*v**2 - v**3 - 1 to a*v**2 + k*v**3 + r + u*v and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 4*h**3 - 3*h**3 + 7*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 858116998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 2 - 3\/(-12)*-4. Let u be (-1)\/k - (-969)\/12. Suppose 0 = 80*t - u*t + 6. Solve i + 13 = 3*l, -3*l - t = 3*i - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52 from 3446653342.\nAnswer: 3446653290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 10. Suppose -u*v - 5*l = -15, -v + 0 + 7 = 5*l. Suppose -28 = -v*x + 6. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -8\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35\/12 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 10*k - 16. Let a be o(12). Let g = 8 - a. Let q(i) = i**2 - i + 10. Calculate q(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:51 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2070)\/109710*(-4)\/2.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265654323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - m + 18 = -4*m, -2 = r + 3*m. Let k be (-2)\/r*-6*-8. What is the tens digit of ((-8)\/6)\/((-1)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z - 10*z + 3*z + 0*z to f + x*z and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47762 + 47763. Let p(r) = -73*r**2 - 3*r - 5. Let u(c) = -36*c**2 - 2*c - 3. Let w(s) = 3*p(s) - 5*u(s). What is w(t)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*a + 4*a + 2*p, -5*p + 2 = -a. Sort -18, 1\/7, 0.5, a in ascending order.\nAnswer: -18, 1\/7, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmy when three letters picked without replacement from {g: 2, k: 4, v: 1, y: 1, m: 4, n: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85788601 - -2.9.\nAnswer: -85788598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1 - (-4 + (8 - 12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.89 + -1.7. Let g be 10\/3*252\/(-1470). Put z, 1\/3, g in descending order.\nAnswer: 1\/3, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3\/7 - 82420*w**2\/7 - 60658176*w - 424524816\/7 = 0. What is w?\nAnswer: -10302, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 2)*(13*l**2 - 13*l**2 - 11*l**3) + 4*l**3 - 3*l**3 + 3*l**3 + (-1 + 1 - 2*l)*(-2*l**2 + l - l).\nAnswer: -47*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -2.2. Let i = k - -1.1. What is the smallest value in -1\/4, 2\/17, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m - 39*m - 14*m - 7*m.\nAnswer: -93*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 + 10. Let x be 3 + ((-106)\/(-2) - 3). Let b be x\/4 + (-3)\/12. Suppose 2*z = -1 - b. Give n(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12295286 to the nearest integer?\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Let w(o) = -o**3 - o**2. Let p(q) be the third derivative of q**6\/40 + q**5\/15 + 1499*q**2. Determine r*w(u) + p(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3228610*r**2 + 6457221*r**2 - 3228610*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, -1512, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2443 and 0.04?\nAnswer: 2442.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*a + 4*a**3 + 67*a + 345*a.\nAnswer: 4*a**3 + 302*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(((-17)\/2)\/(-17)). Solve 7*h = i*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 5008535.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1226*k + 7260. Give l(-6).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a - 136*a - 4307 - 3019 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301.3 - 5.\nAnswer: -306.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 * 0.29031.\nAnswer: 0.01248333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**4 + 2*x**2 + 10*x**3 + 3*x**4 - 17*x**2 - 11*x + x.\nAnswer: 5*x*(x - 1)*(x + 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/18*-1)\/(11\/(-858)))\/(16\/36)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/300 and 73\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 9. Let g(c) = 9*c - 36. Let p = -12 + 17. Calculate the remainder when g(p) is divided by o(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 0.03, -1\/57, -2 in ascending order.\nAnswer: -181, -2, -1\/57, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4634 - -0.02?\nAnswer: 4634.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5037*d + 10085. Give l(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + r**2 - 62521*r + 62521*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -404 by 3.\nAnswer: -404\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 27. Let w be (0\/2)\/(k + 2). Solve 4*s = 2*g + 18 - w, g + 4 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = -x, -7*x = -3*j - 10*x - 9. What is the derivative of 133 + 3*n + 0*n - n + n - 32*n**2 + 98*n**j wrt n?\nAnswer: 132*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 22057548?\nAnswer: -22057560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mss when three letters picked without replacement from flpms?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyzdyyzhdhd. What is prob of sequence yd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 55. Let g(c) = -7628*c. What is u(g(k))?\nAnswer: -15256*k - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 16*h. Let y be m(16). Suppose y = -n + 6 - 2. Let z = -8 + 11. Calculate the remainder when n is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)*(-38)\/(-17556)*21\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1612 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1971878 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00951029 rounded to five dps?\nAnswer: 0.00951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f + 28*f - 2590 = 0. Let c = f - -194. Are 1.5 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.5 (c) 2 (d) -2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92010248*m + 129616761 wrt m.\nAnswer: -92010248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/6 + (-2 - -1). Let v(p) be the first derivative of 0*p - 1\/2*p**2 + 1 + y*p**3. Find the second derivative of v(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 253322?\nAnswer: 253325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 43\/14 - 35\/490. What is the closest to 1 in h, 1\/3, 2\/7, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -6)*(4 - 6). Let q = -43 - -49. Find the third derivative of y*c**3 + 51*c**2 - 67*c**2 + q*c**3 wrt c.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -581890155.\nAnswer: -581890157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6554 + 22203?\nAnswer: 32060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106984*j + 330103.\nAnswer: -106984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*0.6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqq. Give prob of picking 2 q and 1 d.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Let d = j + 4. Suppose 6 = 5*c - d. Solve -3*s + 3 = -c*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 382*m + 1043 - 13649 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Suppose 17*u = 45 - 11. Let p(x) = -x**3. Let k(j) = u*t(j) + 2*p(j). Factor k(h).\nAnswer: -2*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 + (1 - 0). Let a(v) = m*v**2 - 4*v**2 + v**2 + v**2. Let f(s) be the first derivative of s**3\/3 - 1. Calculate f(a(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6124 + 626.1.\nAnswer: 628.7124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*(8877\/(-297) + (-2)\/18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 23*c**2 - c + 5. What is the lowest common multiple of 18 and k(-23)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvevek. What is prob of sequence vt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-15) - 2\/(-60)*-5036. Let v = o - -172. Solve -m + v = -0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 400.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 25493863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31999994)\/4 + (-3)\/2. What is f rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3535, 2, -2\/3, 3, 4\/51 in ascending order.\nAnswer: -2.3535, -2\/3, 4\/51, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a7a89 (base 13) in base 15?\nAnswer: 92ee2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 24*r**3 - 1. Let h(k) = -k**2 + 16*k + 1167. Let t be h(0). Let j = t + -1078. Calculate the remainder when j is divided by i(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 32 = -8*z. Let m be (-2664)\/z - (18\/4)\/(-3). Let s = 48 + -27. What is the highest common factor of m and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150789 is divided by 401?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) - sqrt(117)*2))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -24*i + 64. Let m be p(25). Let t = m - -1073\/2. What is the closest to 1\/4 in t, 0.4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s - 2. Suppose 2*h - 7*h = 25, 3*h = -z + 55. Let f = z + -74. Let n(p) = 14*p + 6. Determine f*n(j) - 11*q(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -1.63. Suppose 3*h + 2 = -1. Let w(p) = -p**3 - 184*p**2 + 173*p - 2224. Let j be w(-185). Put -2, j, h, f in descending order.\nAnswer: f, h, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/3 - 11512*g**2\/3 + 195266*g\/3 - 267820 = 0. What is g?\nAnswer: 7, 10, 5739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2687180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -18*s**2 - 646*s - 26. Let u(b) = 10*b**2 + 323*b + 14. Determine -6*n(y) - 11*u(y).\nAnswer: -2*y**2 + 323*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 14. Let v be x(12). Let m be -4*v\/(0 - 4). Let g(i) = 3*i - 1. What is g(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 4187*c**4\/12 - 4193*c**2\/2 + 1952*c. Differentiate l(x) with respect to x.\nAnswer: 8374*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79905396?\nAnswer: 2, 3, 337, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73397 or -11.84?\nAnswer: -11.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r - 29*r**2 - 23*r + 2*r + 30*r**2 - 19*r + 17.\nAnswer: r**2 - 89*r + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49182 * 0.13.\nAnswer: 0.0639366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, 43.5, 0.5, 0.2 in increasing order.\nAnswer: -0.4, 0.2, 0.5, 1, 43.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vivvvivvvviiivvv?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -24. Suppose i*b + 10 = 5*b. Solve -o + 9 = 3*f - 5*f, b*f + 29 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1326774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4667 greater than -4667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -75 + 1000?\nAnswer: a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - (0 + -1) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0 - u**2 + 0*u**5 + 0*u**4 + 1\/2*u**3 + 0*u**6 + 1\/70*u**7 + 0*u. What is the first derivative of b(k) wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16098 and 287079?\nAnswer: 1540465914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t + 2. Let s be 19\/3 - (-12)\/18. Let r(a) = -8*a - 1. Let c(i) = s*r(i) + 4*v(i). Calculate c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 9. Let a be p(-10). Put -15, 0, -0.2, a in increasing order.\nAnswer: -15, a, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/15 + 96*c**2. Let z(d) = -4*d**2. Give z(n(r)).\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4868)\/(-10953)*1\/(-4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (6 - -3 - -15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31341, -250850, -846665, -2006940, -3919829, -6773486, -10756065?\n\"Answer: -31359*h**3 + h**2 + h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140107 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 61\/2. Let a = -0.04 - 0.56. Let z = a - -0.8. Is j at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-27*1)\/(6\/(-148))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/300 and 67\/210?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -533 - -532. Which is the nearest to 24? (a) -4\/9 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**2. Let t(i) = 1347*i. Give t(r(d)).\nAnswer: -12123*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**3 + 13353*v + 35364 with respect to v.\nAnswer: -3*v**2 + 13353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364205629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o + 117 + 113 - 230.\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 - 2*p**2 - 82963*p**4 + 82949*p**4 + (2*p - p - 2*p)*(p**3 + p**3 - 3*p**3) + 2*p**4 + p**4 - p**4 - p**4 + 2*p**4 - 3*p**4.\nAnswer: -13*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 2 (c) -1\/3 (d) 0.3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 3*h**2 - h + 2. Let u be -20*((-14)\/(-4) + -3). Let y = u + 16. Let w be 4\/y*72\/(-16). Give s(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01119 and -0.1.\nAnswer: -0.11119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: cc8616 (base 15) to base 9\nAnswer: 20307223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14749215 divided by 343005.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32.767 and 7570094.38.\nAnswer: 7570127.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23103701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34156792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23*p**2 + 5*p - 4. Let g be w(-5). Let o be (-4)\/(-16) + g\/(-8). Let l = -38 - o. Calculate the highest common factor of 45 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12104 and 16.\nAnswer: 24208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 + o**3 + 3*o**3)*(-6 + 6 - 5) + (0 + 4 - 7)*(-8*o**2 + 7*o**2 - o**2)*(-3*o + 2*o + 3*o).\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5 = 2. Is 4\/7 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -1\/3*v**3 + 1\/60*v**5 + 1\/24*v**4 + 0*v + 0 + 4*v**2. Give q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p**2 - 1 - 2 + 2.\nAnswer: 23*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*u**3 - 2*u**2 - 60*u + 6204?\nAnswer: 12*u**2 - 4*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710601.\nAnswer: 3, 236867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 0 + 1)*(-1 + 36*z**3 - 166*z**3 + 183*z**3).\nAnswer: 318*z**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**3 - 2. Let v(l) = 15*l**3 + 7. Suppose -5*y = -5*i, -99*i + 98*i - 4 = -2*y. What is y*v(c) + 14*w(c)?\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 536580 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.23 (b) 0.51 (c) 26\/167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/2)\/(-1) + (8 - 4). Suppose -2*w + k = 3*i, i = 2*i. Solve 0 = -d - w - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 36*k + 16. Calculate the remainder when 1059 is divided by j(37).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 8. Suppose 6*b = 4*b - 12. What are the prime factors of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23100 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13*d**8)\/(d\/(d\/(d\/d**(2\/19))))**(2\/31) assuming d is positive.\nAnswer: d**(12335\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 77*q + 2142 = 0. Suppose 0 = -s - 2*o + 14 + q, -5*s + 192 = -2*o. What is the lowest common multiple of 140 and s?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 65\/2. Let x be ((8\/6)\/2)\/3. Let r = 110 - 552\/5. What is the nearest to 0.1 in z, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n - 20 = 0. Let l be ((-85)\/n)\/(1\/(-2)). Solve -p - l = 5*t, 0 = t + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/35, -4, -0.1 in ascending order.\nAnswer: -4, -6\/35, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**6\/5 + q**4\/2 - 9*q. Find the third derivative of m(n) wrt n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9331183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 15 = 5*l, 3*q + 2*q = -5*l - 15. Suppose -3*b + 7*b + 16 = q, -b = -n + 1. Let p(j) = j. What is p(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-44)*-4*(-8)\/48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 588373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 31. Let f = 0.1 + 0.4. Sort f, n, 0.2 in decreasing order.\nAnswer: f, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -175 + 175.00137. Round v to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3, i - 4*i - 4*j = -24. Suppose 4 = 5*v + i*c, -19 = 5*c + 1. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5243478, 5243462, 5243446, 5243430, 5243414, 5243398?\nAnswer: 5243382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3144, 3149, 3166, 3201, 3260, 3349?\n\"Answer: n**3 - 2*n + 3145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2385 or 0?\nAnswer: -2385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*g - 4*m + 24, 3*m = -15. Suppose -9 = -3*x, 2*x = -3*b - 0*b + 30. Let k = g - b. Solve -3*u + k*p + 1 = 2, -p = 2*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354454 to the power of 1\/2, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - 13*t + 65 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91*j*s**2 - 1463148*j + 2274389*s**2 - 2*s - 101 wrt j.\nAnswer: 91*s**2 - 1463148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 98, -2, -3, 34563 in descending order.\nAnswer: 34563, 98, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 + 2*h**2 - h + 1. Let g be p(2). Let w = -15 + g. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -267610\/19 or -14085?\nAnswer: -267610\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-2)\/(-3)). What is the common denominator of -29\/10 and u\/(-2)*(-182)\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100101110000100 (base 2) to base 9.\nAnswer: -578008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4977 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 170 (c) 345 (d) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n. Let b(r) = 3*r**2 + 36*r. Give y(b(z)).\nAnswer: -33*z**2 - 396*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = 10. Suppose -10 = d*h - 7*h. Let w(z) = z + 3. Let q be w(4). Solve 3*l = -q - h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 + 2001*u - 92550 = 0 for u.\nAnswer: 50, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (67 - 1)*10*25. Suppose 0 = 22*l - 21*l - k. Round l to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 + -0.077?\nAnswer: -200.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/30*2\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -2\/3*g**4 + 7 - 2*g + 73\/2*g**2 + 0*g**3. Find the first derivative of h(a) wrt a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 + 2*n + 6. Determine v(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*p + 5 = -8, 2*p - 2 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5443771, -10887546, -16331319, -21775090?\nAnswer: -27218859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864 a factor of 504697297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(117)*-3*2)\/(sqrt(576) - (sqrt(576)*2 + sqrt(576)) - (sqrt(81)\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 7488\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 2\/65 (b) 16 (c) -1 (d) -4 (e) 24 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20321134 (base 8) to base 12.\nAnswer: -15352a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 14, -989, -6\/23, 2, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821062?\nAnswer: 2, 11, 37321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -881930 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -84, 57, 204, 357, 516, 681?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -10 - (-46)\/69)*-3. Let j = -7 + 12. Suppose -5*v = -o - j, -v + 9 = v + o. Solve 3*r - 4*b + 20 = 0, -r - 7*b = -v*b - m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 418 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5829471375 a multiple of 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2814 = -n + 8*n. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + (-3 - -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/45*(-14)\/(-28). Let m(c) = -c**3 + 4*c**2 - 5*c + 3. Let r be m(3). What is the closest to -2\/3 in r, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:44 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 18930*r + 1692708. Determine a(-89).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -135*d - 29*d**2 + 72*d + 63*d + 4*d**2 + 45*d**2. Let l(g) = 3*g - 3*g - 3*g. Calculate k(l(w)).\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 0*n + 33*n + 22*n.\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, -4 in decreasing order.\nAnswer: 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 782333 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10212?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1525*d + 1423*d + 3570 = 0 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1526591 and 1644?\nAnswer: 18319092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126808 and 4454?\nAnswer: 2155736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Suppose 4*y + 4*x - 28 - 32 = 0, 3*y - 3*x - 63 = 0. Let f be (-2)\/10 - y\/(-390). Is f greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62433 and 2667.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, o: 1, x: 1, w: 8, p: 6}. Give prob of sequence pw.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + -6 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/120 + a**5\/12 - 5*a**4\/24 - a**3\/6 - 2*a**2. What are the prime factors of w(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o**2 + o**2. Let b(y) be the second derivative of -y**4\/8 + 181*y**2\/2 - y + 165. Let n(c) be the first derivative of b(c). Give r(n(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7}. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -0.05, -15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s - 0. Suppose -3*u + a + 36 = 0, 3*a + 15 = -2*a. What is the smallest common multiple of s and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -91. Suppose -c + 2*c - 12 = -3*w, -2*w = -b*c + 16. Solve -5*n + 16 = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -24. Suppose 0 = t - q - 4, 10 = -3*t - q + x. Is -1\/11 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35\/2 - 18. Which is the third smallest value? (a) 1\/4 (b) 0.1 (c) 4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -15\/16361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**6\/120 - z**4\/24 + z**2 + 2*z. Let i(a) be the first derivative of b(a). Let t be i(0). Solve 4*y - y + 6 = t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59113514067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*p - 28*p - 120. Let a be (-2*12)\/(-3) - -1. Suppose -a*y + 12*y - 171 = 0. What is the remainder when y is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/18 + 32\/(-6). Let y = -7\/2 - b. Factor -2\/3*w**2 + y*w + 1\/3.\nAnswer: -(w - 1)*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 664005\/2 - 339816. Let q = 7576 + m. Is q less than or equal to -238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(2\/(-6))*-364*38\/(-2128).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(500))**2*3 + sqrt(500) + -3*-2*sqrt(500))*-6.\nAnswer: -9000 - 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sesisist. Give prob of picking 2 s, 1 t, and 1 i.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*p - 633040 = -214*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**27\/y*y**2 assuming y is positive.\nAnswer: y**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 63*i**3 + 25*i**2 - 10. Let y(x) = -33*x**3 - 13*x**2 + 6. What is 3*q(t) + 5*y(t)?\nAnswer: 24*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 2 - 145*o - 23 - 153*o + 287*o - 3*o**2 to the form y*o + x*o**2 + c and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -23) + (-3 - 1) + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 312 + -310. Let s(x) = 3*x**2 - 8*x + 2. Calculate s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10060, 8565, 6080, 2611, -1836, -7255?\nAnswer: -13640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 11*d**2 - 21*d + 49. Let m be x(-7). Solve m = -60*a + 57 + 63 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w + 185606 - 187322 = 0 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979 + 1027 = 2*q - 2*t, 120 = 5*q + t. Let c be 40*(1 - (-2)\/4). Calculate the highest common factor of c and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -12.77894 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17182359.6 to the nearest ten thousand.\nAnswer: -17180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) 2 (b) -1 (c) -4\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 0 (c) 0.216 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-609*(-168)\/5292)\/((-4)\/6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 997, 1998, 3001, 4006, 5013, 6022?\nAnswer: 7033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2713, 6435, 10157, 13879, 17601, 21323?\nAnswer: 25045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 + 55\/50?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 755*v**5\/2 - 747*v**4 - 9847*v**3\/2 + 5181*v**2 + 9172*v + 192 = 0?\nAnswer: -3, -1, -16\/755, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -605 + 616. Sort -1, z, 3 in increasing order.\nAnswer: -1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/357 and 11\/6?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 189.192848 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 2. Let w be i(2). Let o be ((-6)\/9 - w)\/3. Suppose -4*h = 13*m - 9*m, 0 = 3*h - 4*m + 35. Which is the nearest to 2? (a) 3 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/6 (c) -31 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5022307 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170 * 1.1.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 53. Let b = p - 14. Suppose -4*m - 4 = -i - b, 5*i + 3*m - 38 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11e25 (base 15) to base 8\nAnswer: 157541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (33 - -2 - 31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*o**3 - 59*m*o**2 - 2*m*o - m - 2887442*o**6 - 2*o**2 - 10979 wrt o?\nAnswer: 6*m - 346493040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*k - 177 + 12717 = -293*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323)\/sqrt(9) + (sqrt(900) + sqrt(36))\/sqrt(12))**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 114, 154, 174, 168, 130, 54?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1 + 3*s - 3*s**2 + s - s + 2*s**2. Let b be f(3). List the prime factors of (30 - -7) + (b - 1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/124 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7813 - -5187. Let p = 3917 + x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.329 - 74530?\nAnswer: -74537.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331517*d - 2826*d**3 + 2832*d**3 + 331520*d - 663037*d.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 75 - 275 = 0. Let p be (-6)\/10 + 130\/d. Solve -i - p = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6) - (-2 - -5). Suppose -15 = -5*q + 2*q - 3*v, 4*q - 16 = -2*v. Which is the closest to s? (a) 0.2 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 12*o - 1. Let s(t) = -11*t**2 + 25*t + 1. Suppose 4*z = 7*v - 2*v - 37, 3*z = 6. Let f(j) = v*u(j) + 4*s(j). Determine f(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8127.733 decades in months?\nAnswer: 975327.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -17.9. Let f = m + 0.9. Let j = -1 + -4. Which is the nearest to 0.1? (a) j (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15 + 8 - 21 + 8 + 10*w. Let a(x) = -x - 1. Suppose -2*k - y + 4 = -2, -4*k + 18 = 5*y. Determine k*p(z) + 22*a(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194699231 is divided by 306.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 + 20*t - 5. Let w be g(-4). Let f = 0 - 0.2. Which is the second smallest value? (a) 1 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 4)*1 + 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-8)\/(-4) - (-165)\/(-57)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 7 + -6 + -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2*g - 3, -33*u + 3 = 32*u - 62*u - 4*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73231608*d**2*q**3 - 8*d**2*q - d*q**2 + 19694186*q wrt q.\nAnswer: 439389648*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 1311392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -52905+-25\nAnswer: -52930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174\/25 + -517\/75. Sort -1\/6, 0.057, u in ascending order.\nAnswer: -1\/6, 0.057, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.015 (b) -0.4 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 9. Let q be a(10). What is the remainder when 17 is divided by 3 + 2 + q + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (sqrt(117) - (-2*sqrt(117) - sqrt(117))))*-6 + sqrt(117))\/((sqrt(72)*2 + sqrt(72))\/sqrt(8))*-3*3)**2.\nAnswer: 42237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2068, 2083, 2102, 2125, 2152?\n\"Answer: 2*g**2 + 9*g + 2057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -41, -61, -81?\n\"Answer: -20*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-64 + 54)\/(0\/(-1) + (-5)\/78). Let o = 2 + 22. What is the highest common divisor of w and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -3, 0.054, -4, -1\/5 in descending order.\nAnswer: 4\/11, 0.054, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/720 + 11*a**5\/120 + a**4\/8 + 8*a**2. Let i(j) be the second derivative of m(j). Suppose 0 = -3*s + 15. Calculate i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6602334 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/265 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 153*r + 22 = -148*r, 0 = 2*b - 3*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 - 50*a**2 - 53*a - 29. Let u(t) = 2*t**3 - 25*t**2 - 27*t - 15. Let p(m) = -5*u(m) + 3*z(m). What are the prime factors of p(-25)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 447 + -450. Does 24 divide 92*(h + 102\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) - -3*sqrt(7)) + (sqrt(13) + sqrt(13) + 3)*-1 + 2 + sqrt(117) + (3 + 2 + sqrt(13))**2.\nAnswer: 37 + 45*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.5, -4, 10730, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(510)*1 + sqrt(510))\/sqrt(10))\/(sqrt(18)\/sqrt(54)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5913090 to the nearest integer?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.376 - -6.2. Let s = o - -0.16916. What is s rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddg when three letters picked without replacement from {t: 1, l: 1, s: 2, g: 8, a: 3, d: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -19. Let k(u) = 7*u - 3. What is the units digit of k(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 3469*y**3\/3 - 99*y**2\/2 - 3*y - 194. What is the second derivative of u(h) wrt h?\nAnswer: 6938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18576 is divided by 483?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 479 = 313. What is the least common multiple of 12\/14*-84*(-9)\/6 and d?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 3. Give n(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 100711, 100617, 100535, 100471, 100431?\n\"Answer: p**3 - 101*p + 100811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.107 > -14105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 703*q + 206529. Give j(-223).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 12:57 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9719.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8, 2*b - 12 = -5*y - b. Suppose y*q + 8 = 2*q. Suppose 5*u + 3*o = -1, -5*o = -5*u + 3*u + 12. Solve -j - u = q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.325? (a) 0 (b) -0.098 (c) 0.4 (d) -1\/6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 30465*g**2 + 487707720*g - 3292059446000.\nAnswer: -5*(g - 8084)**2*(g + 10075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/68064 and -31\/136128.\nAnswer: 136128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 112, 234, 380, 556, 768, 1022, 1324, 1680?\n\"Answer: t**3 + 6*t**2 + 97*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500 divided by -571?\nAnswer: 1500\/571","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 4 + 4*d**3 + 1 + (-6 - 1 + 1)*(3*d - 2*d + 0*d)*(-28*d**2 + 18*d**2 - 25*d**2) to m*d**2 + y + n*d + i*d**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, g: 7}. What is prob of picking 2 g?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x**2 + 8*x - 10. Let o be w(4). Let t = o - 169. Let y = -277\/3 + t. Does 2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311107 is divided by 576?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*w = 32, 2*s + 15986 = -5*w + 16005. Calculate the greatest common divisor of s and 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2110?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 16*n**2 - 16*n + 23. Let l be s(-17). Calculate the lowest common multiple of 3 - 4\/(l + -2) and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -7*s + 334. Calculate the highest common divisor of s and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-100)\/750)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-24)\/9)*(-9)\/(729\/54)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -5 + -1 + 24\/4. Solve m*d - 6*d = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u**3. Let c(s) = -13*s**3. Suppose -5*z = 27*l - 28*l - 842, -4*l = -2*z + 326. Let w = z + -176. Determine w*q(m) + 5*c(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 348\/25 in descending order.\nAnswer: 348\/25, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let j = x - 1. Let i = 1 + -2. What is the nearest to j in 1\/5, i, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9459 (base 12) in base 3?\nAnswer: -211012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34787 is divided by 491.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(224)\/sqrt(4))\/sqrt(8) + sqrt(7) - sqrt(7)) + (sqrt(14)\/sqrt(2))**2*-4).\nAnswer: -4*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16323846 is divided by 1813760.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -3 - 2*(sqrt(2) - sqrt(4)\/sqrt(2)).\nAnswer: -3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2. Let k(v) be the first derivative of -v**4\/12 + 4*v - 15. Let o(w) be the first derivative of k(w). Determine o(g(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -122*t - 199. Let k(h) = -334*h - 596. Let z(n) = 11*j(n) - 4*k(n). What is z(31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/60 - t**4\/4 - 11*t**3\/6 + 46*t**2. Let y = 7 + 1. Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by ((-2)\/2)\/(3\/(-102)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.3. Suppose b - 3 = -4. Let k = -3 - -3.5. What is the second smallest value in b, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3\/4 + 13188*j**2 - 52749*j\/4 = 0.\nAnswer: 0, 1, 17583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**3 - 22*u**2. Let d(t) = t**3 - t**2. Let h(f) = -3*d(f) + x(f). What is the third derivative of h(z) wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38144269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -50. Let v(l) = -l**3 - 4*l**2 + 9*l + 4. Determine v(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 e when four letters picked without replacement from {k: 1, e: 4, s: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 2*t + 1. Let p(w) = 2*w**2 + 3*w + 2. Let x(o) = -5*l(o) + 3*p(o). Let r(d) = -7*d**2 + 7*d - 6. What is r(c) + 5*x(c)?\nAnswer: -2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*d - 0*d - 4, 10 = d + 4*o. What is the smallest value in 1, 1\/3, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 471\/4, -5, 1\/329, -5\/2 in ascending order.\nAnswer: -5, -5\/2, 1\/329, 31, 471\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/((450\/(-81))\/10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/7))**(-20)*q**(2\/5)\/(q\/q**(-1\/16)))**39 assuming q is positive.\nAnswer: q**(47931\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -95 + 147. Let i(r) = -r**2 + 14*r - 13. What is i(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.04 (b) 3 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103113203 (base 4) in base 8?\nAnswer: 232743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6610608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3652 and 81\/8349800?\nAnswer: 91847800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from nndnbnwwbwewebewwww.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3191 (base 11) in base 8?\nAnswer: -10166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322471, 322540, 322661, 322840, 323083, 323396, 323785, 324256?\nAnswer: 324815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + 396\/110. Which is the second smallest value? (a) r (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 2*x + 450 = -6*c, 3*c = 3*x + 291. Suppose c + 13 = 3*f. Is 36 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -9 - (0 - -4)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 792293 to the power of 1\/2, to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87061 and 10374377.\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -6, 0*y + y - 5*i = -31. Let d = y - -185\/4. What is the nearest to d in -2\/5, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/978 and 56\/39.\nAnswer: 12714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15837, -17081, -19165, -22089, -25853?\n\"Answer: -420*z**2 + 16*z - 15433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*p + 476 = 157*p. What is the remainder when p is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:02 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 954 and 32797407.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Suppose -w*q + 48 = -2*c - c, 28 = 3*q - c. Solve 0 = m - 3*z - 5, -6*m + q*m = 4*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 63, 96, 131, 168, 207?\n\"Answer: j**2 + 28*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10234 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjkkjpbuukpb. Give prob of picking 3 b and 1 u.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 5*z = -165. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:57 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 53981361*a**2. Let n(j) = -3*j**2. Calculate c(n(o)).\nAnswer: 485832249*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-448))\/((-1)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1783839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16310 + 16310 + 11*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -2\/7, 2 in decreasing order.\nAnswer: 2, -2\/7, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-131)\/((-2751)\/42)*-17?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*n - 29 = -0*n, 0 = -4*o + n + 7. What is the derivative of 17*r**3 - 4*r**3 + 0*r**o + 5*r**3 + 3 wrt r?\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3\/16, -2.2?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -37. Let d = 68 - b. Find the third derivative of -4*y**2 - 3*y**2 + d*y**6 + 8*y**2 wrt y.\nAnswer: 2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-260)\/8) - 1\/(-6)*149820\/550\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 41. Is (4\/(-3))\/((-7)\/n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 + (-7 - 3) + (-3 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1433 + -1428. Let l(d) be the first derivative of -2 - 1\/20*d**f + 0*d**2 + 1\/12*d**3 + 0*d + 1\/16*d**4 - 1\/24*d**6. Factor l(h).\nAnswer: -h**2*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0141? (a) -3 (b) 380 (c) 1\/209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -41, -0.3, -5, -0.11 in increasing order.\nAnswer: -41, -5, -0.3, -0.11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 7. Let g(t) be the first derivative of -241*t**2 - 7*t - 96. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**6\/720 - g**5\/40 - g**4\/6 + 2*g. Let k(i) be the third derivative of b(i). What is the units digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdlkljlmjjbj. Give prob of picking 2 l, 1 k, and 1 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1211 - -1107 - (5 + -35 + -6)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.096 - 0.179. Let w = x + 0.083. Sort -5, w, 17 in descending order.\nAnswer: 17, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by 43767.\nAnswer: 65\/43767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13184.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (21 - 14) + (1 - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*g - 46360 = -72*g + 654*g for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.06, -179.43, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 6, 7*y + 29 = -5*f + 10*f. Suppose -2*r = -f*q + 3*r + 61952, 0 = 5*q + 5*r - 103240. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164478905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgjcjcfjxjjjxjjfnjc. Give prob of picking 2 j and 1 c.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/9 - 133964*y**2\/3 + 9242410*y\/9 + 3214768\/3 = 0. What is y?\nAnswer: -1, 24, 200923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k + 5 = 4*w, -4*k = 2*w - 16. Solve -2*q + 1 = h, w*q - 2*h - 7 = -5*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-7 - (5 - (-7 + 8))) + 9 - 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*u**2 + 15*u**2 - 2 + 7 + (-u + 3*u - 4*u)*(-4*u + 2*u - u).\nAnswer: 4*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134925814*t**2 + 11*t**3 + 134925806*t**2 - 6 + 30*t**3 + t to the form w*t**2 + b*t**3 + o*t + s and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*t**2 - 2681 + 2681 in the form c*t**2 + p + z*t and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42538668 and 7089778?\nAnswer: 42538668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 597 and 15.92?\nAnswer: 9504.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 5\nAnswer: 216\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270 less than 8268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 392442\/1290 + (2\/1 - 2). Let c = r + -1519\/5. What is the common denominator of c and 3\/12 + (-3)\/4?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*s + 40*s**2 + 1 - 42*s**2 to the form k*s + u + o*s**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 5938560\nAnswer: -5938581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57662 + 6.\nAnswer: -57656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(304) + sqrt(304) + -1))**2.\nAnswer: -672*sqrt(19) + 43825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28046, 56091, 84140, 112193, 140250, 168311?\n\"Answer: 2*z**2 + 28039*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76376942?\nAnswer: 2, 3359, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9933)\/(-2064) + 3\/16. Sort -2, -4, -14, -5, c in ascending order.\nAnswer: -14, -5, -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57.7 + 58. Which is the second biggest value? (a) -0.3 (b) 0.2 (c) t (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49711 - 790?\nAnswer: 48a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13446523, -26892999, -40339473, -53785945?\n\"Answer: s**2 - 13446479*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115.1135 and -1?\nAnswer: 115.1135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (7 - 12 - 17 - 2) - 7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 52.303755753935.\nAnswer: 48.303755753935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 4. Let m(y) = -8*y - 9. Give 9*c(z) + 4*m(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = -7. Let h be ((-8)\/(-4)*r)\/(-1). Find the first derivative of -4*a + 8*a - h - 8*a wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 15*j**3 + 18*j**2.\nAnswer: -3*j**2*(j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -299283\/509 bigger than -587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0 + 0)*((-3 - 2 + 4)*(-2 + 2 - 2*r) - 3 + 2*r + 3 - 38*r - 248 + 248).\nAnswer: 68*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24777 is divided by 138?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*f = -89*f - 1068 - 852 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7\/3)*x*x*x**(2\/3)*x*x**(-2)\/x**(1\/7) assuming x is positive.\nAnswer: x**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-17))\/(((-7)\/21)\/((-2)\/(-3))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 744 + -741. Solve 3*r + 1 = 5*z - 33, i*z - 24 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afphuhu. What is prob of sequence ahf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 430*m - 4986. What is l(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a + 7. Give l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/6*804\/938*(-14)\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(108) - (2 + 1 + sqrt(108) + sqrt(108) - sqrt(108)))*-4 + 5)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -28*h**2 + 102 + 102 - 304 + 98. Let m(l) = l. Give m(u(i)).\nAnswer: -28*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -23*w + 7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2\/7 (b) 3\/7 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2))\/((-2)\/(-1)))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9347980?\nAnswer: 2, 5, 467399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v - 13*v + 2*v in the form c*v + z and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -608b (base 12) to base 3\nAnswer: -112100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*x + x + 0*x)*(4*x + 0*x - 2*x) - 3*x**2 + 2*x**2 + 2*x**2 + 6*x**2 + 6*x**2 - x**2)*(2*x + x - 4*x) to h + j*x**2 + g*x**3 + q*x and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156*f*m*r - f*r**2 - 2*f*r - 429*m*r**3 - 432*r**3 + 79 wrt m.\nAnswer: -156*f*r - 429*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3 - 204*a**2 - 3468*a = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 448 * 6.\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.5 (b) 0 (c) 4349 (d) 0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/9)\/a*a*a)\/(a**10*a))\/((a*a\/((a*a**(-1\/3))\/a))\/(a*a\/((a\/a**(-13))\/a)*a)))**31 assuming a is positive.\nAnswer: a**(-6200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -1\/60 (c) -4\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54.792611 and -23.9.\nAnswer: 30.892611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 25 + 34)*(-6*d + 0*d + 2*d).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 76?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v**2 + 12*v. Suppose -24 + 14 = -2*q. Suppose q*g = g + 96. Let x(p) = -41*p + g*p - 4*p**2 + 20*p. Give 2*t(o) - 9*x(o).\nAnswer: 2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 2)*(-3 + 3 - 2) + 0 + 1 - 3)*(39*o - 119*o + 19*o)*(-4 + 3 + 2) to the form n + a*o and give a.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t = y - 29*t, -4*y - 4*t = 36 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-28)*1*(-21)\/(-6). Which is the fourth smallest value? (a) 0.4 (b) -2\/5 (c) -3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011297622463 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let n(i) be the first derivative of 5 + 0*i + 0*i**2 - 1\/3*i**3. Give n(h(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*i + 6 = -18, 3*i = -5*h + 34. Suppose -z + 9 = 3*y, 16 = -5*z + 1. Suppose y*a + 2 = 2*a. Sort a, h, -4 in ascending order.\nAnswer: -4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 14 = -50. Suppose a*l = 2*n - 99 - 25, 1 = -l. Calculate the smallest common multiple of n and 66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keke. What is prob of picking 1 k and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24182 and 18?\nAnswer: 217638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 9*d**2 + 31*d - 1. What is g(6)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001218191994 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let l = 6 - t. Let i = l - 7. Which is the second smallest value? (a) 5 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddqjcddqdddd. Give prob of sequence qd.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7044, 12328, 17612, 22896, 28180?\nAnswer: 33464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:47 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.5 (c) 2\/9 (d) -220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s**2\/3 - 1186*s\/3 - 140\/3 = 0 for s.\nAnswer: -2\/17, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(sqrt(117) - -1*sqrt(117)))\/(sqrt(324) + sqrt(324) + (-1*sqrt(324) + sqrt(324))*-5).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from pyyydpy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 0*m - m + 6*m. Let p(h) = 57*h - 77*h + 5 - 5. Give p(t(o)).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o**2 - 8*o - 4. Let a be g(-3). Let y be a\/((12\/(-10))\/(-3)). Let s = -1 - y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*v - 6*v + 3*v)*((-2 - 4 + 4)*(4 + 0 - 2) + 0 + 1 - 3) + v - 2*v - v)*(-2*v**2 - 4*v**2 + 0*v**2) to b*v**2 + m*v**3 + d + u*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 6*g + 8. Let r be f(4). Suppose 23*d - 20*d = r. Which is smaller: d or 1\/48?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 4. Is d(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-3)\/(-27) - (4 + 862\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + x - 2*x + 61, -2*a = 4*x - 24. Let 10*r**2 - 1 - 14 - 3*r - a*r = 0. What is r?\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + -3 - (2 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 820 + -813. Let p(i) = -7*i + 50. Give p(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 388980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/3 + w**2\/2 + 6*w - 1307. Calculate j(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 955*d + 1915*d - 956*d)*(-d**4 - 3*d**4 + 2*d**4).\nAnswer: -8*d**5 - 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (18 + (-8 - 17))) + 126 + 12.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y**(-19) assuming y is positive.\nAnswer: y**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/12 + 7*n**3\/6 + 3*n**2 - 2*n. Determine f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + 0*w**4 + w**5 + 2*w**5 + 2*w**5 - 2*w**5 + (-w**3 + w**3 + 2*w**3)*(2 + 2*w**2 - 2) + 3*w**5 + 2*w**5 - 2*w**5.\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -181 (b) -0.044 (c) -3\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98.1 - -122. Let u = s + -24. Let p be 4\/10 - (-621)\/(-115). Which is the closest to u? (a) 1\/3 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48110649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + 4*z - 5. Let x be 59\/413 - 58\/14. What is b(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -1\/7, 75?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 - 2*q**4 + 2*q**4 + (3*q**2 + 5*q**2 - 2*q**2)*(3*q**2 + 3*q - 3*q).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 278, 632, 1128?\n\"Answer: 71*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004036731 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**9\/5040 + c**8\/280 - 17*c**7\/840 + c**6\/24 - 11*c**4\/2 - 4*c - 5. Let u(s) be the third derivative of q(s). Factor u(d).\nAnswer: -3*d*(d - 5)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2252408*b**2*q**3 + 6*b + 395*q**3 + 25*q**2 wrt b?\nAnswer: 4504816*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1296*f**2 + 15*f + 17. List the prime factors of s(-2).\nAnswer: 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5380 by -4.\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*t**3 - 439721744*t**2 - 188452284*t - 20191320 = 0 for t.\nAnswer: -3\/14, 560870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - a = -b + 45, -3*a = -5*b + 35. Let c(p) = -p**2 + 9*p - 8. Determine c(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 - -61 - (1 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20 and -0.271.\nAnswer: -20.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -178*n - 4. Let j(k) = -5 + 4 + 0*k + 10 - k. Let z be j(7). Let g be m(z). Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, y: 1, a: 1, g: 2, s: 1, r: 1}. Give prob of picking 1 y, 1 r, 1 g, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 1013 - 457 = 0. Calculate the remainder when x is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1293000\/420 - 32\/56. Calculate the greatest common divisor of m and 1134.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**2 + 2*o - 93. Let u(r) = 19*r**2 - r + 94. Give 3*a(j) + 2*u(j).\nAnswer: -j**2 + 4*j - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6402478.\nAnswer: 2, 41, 78079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87624393 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -216 + 54. Let l = -31 + 229. Calculate the greatest common divisor of o and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/12)\/(1\/278). Let n = -975\/7 - x. What is the nearest to n in -4, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8322628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 949301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*s = 3*s - 2, 3*o = -4*s + 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-30)\/(u**(-2\/7))**(-13) assuming u is positive.\nAnswer: u**(-446\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 377540 and 283155.\nAnswer: 1132620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 + 176. Let o(n) be the first derivative of -2 - 1\/2*n**4 + 0*n**2 - 2\/3*n**3 + u*n. Factor o(b).\nAnswer: -2*b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1\/2)\/(481389\/17782 - 27)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 1)*-3)**2 + (sqrt(28)*-2 + sqrt(7) - (1 + sqrt(448))**2) - 6*(1 + sqrt(7)*-3 - (sqrt(21) - sqrt(756))\/sqrt(3)).\nAnswer: 113*sqrt(7) + 3586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*x**4 + 623324*x**2 + 223277996 wrt x?\nAnswer: -156*x**3 + 1246648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejw when three letters picked without replacement from ewwwjjzneznwjjwwa.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**6\/120 + k**5\/12 - 2*k**2. Let x be a(5). Suppose 5*q = 2*d - 3 - 4, -4*q - d - 16 = 0. Sort 5, x, q in ascending order.\nAnswer: q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-110))\/((-2)\/4). What is the closest to 0.3 in -1\/4, 1, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63583792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c + 4 + 6 - c**2 + 4 - 16*c. Let t be x(-12). Suppose -t*m - m + 264 = 0. Calculate the highest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13236003, 26472005, 39708007, 52944009?\nAnswer: 66180011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227.00000334 - -227. Round q to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 6*m**2 - 6*m + 4. Let z be q(-7). Let u(b) = -b**2 - 2*b + 1. Let f be u(z). Put f, 3, -3 in decreasing order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-18))\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227 - -232. Suppose -7*d + 3 = -10*d. Sort 0, y, d in ascending order.\nAnswer: d, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -19*v**4\/12 - 40*v. Let t(f) = -2*f. What is u(t(w))?\nAnswer: -76*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 - 225*z + 50*z**3 + 115*z + 110*z.\nAnswer: 43*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t. Suppose -5*f - 21 - 19 = t. Let c(d) = -d**2 - 12*d - 11. Is c(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/50 + (13 - (-4477)\/(-330)))*(-4)\/(-144).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let o = 3 + b. Let r = 59 + -63. Sort o, r, -1 in decreasing order.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839996 = -2*j + j. Suppose 3*p + 898263 = -4*v - 221740, -3*v - j = -4*p. What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/19404 and -149\/44352.\nAnswer: 310464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 10\/3*k**3 + 0*k - 1 - 11\/4*k**4 + 0*k**2. What is the third derivative of c(l) wrt l?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*s**2 - 3*s.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41654 is divided by 318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.21*2321\nAnswer: -487.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41578.1 - -41283.613. Let x = y + -0.513. Let r = 294.807 + x. What is r rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3123*t**2 + 1172*t + 96 = 0. What is t?\nAnswer: -24\/347, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 5 (c) -1 (d) 1\/4 (e) -14.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022 - -220332031?\nAnswer: 220323003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:33 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2513 - -324175\/129. Let p = 139\/645 + d. Factor -2\/5*x**3 - 1\/5*x**4 + 2\/5*x**2 - 1\/5 + p*x**5 + 1\/5*x.\nAnswer: (x - 1)**3*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*o - 2*l + 4*l + 2 = 0, 2*l - 2 - 5 = -o - 21 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + j - 5. Let g be t(-3). Suppose -14*f = -g*f + 244. What is the tens digit of (5 - 1) + -3 - f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**2 + 38*o + 5. Let n be -10*(5 + 63\/(-14)). Let a be r(n). Solve 11*m - a = 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863814349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 548 = 18*b, -417 = -3*b - 4*p - 523 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2837387 divided by -2?\nAnswer: -2837387\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219281441 + -523424791388\/2387. Let z = -3\/217 + w. Find the common denominator of z and (-4)\/18 + 312\/27.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 77\/(-7) + 7 + 17. Calculate the highest common factor of n and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233 + -34343?\nAnswer: -40131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -61, -3\/8, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 348930856 to the power of 1\/2, to the nearest integer?\nAnswer: 18680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - c = 5, 4*c + 16 - 5 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/477? (a) 2\/9 (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 46*g**2 + 97*g + 83. Determine y(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-85))\/(84\/280)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 minus 123342.36205?\nAnswer: -122878.36205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-2 + -2 + sqrt(19) + sqrt(76)\/sqrt(4) + 4 + 5*(-1 + sqrt(19)) + -3)**2 + 3.\nAnswer: -448*sqrt(19) + 3986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-2*(-2)\/8. Let w be (-25636)\/(-170) - (1 - 2\/10). Let y = w + -154. Which is the closest to y? (a) g (b) 2\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133255 bigger than -1570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21411 divided by 5.\nAnswer: -21411\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 0 - 1 + 0*t**4 - 3*t**4 + t + 2*t**2 to the form o + d*t**2 + b*t**3 + g*t + u*t**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.06 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2\/m*m**6*m*m\/m**(1\/2)*m**(-4) assuming m is positive.\nAnswer: m**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 45, 66, 87, 108, 129?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -549, -535, -505, -453, -373, -259, -105?\n\"Answer: y**3 + 2*y**2 + y - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/((-3)\/(-1)) - -74 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235402*k**3*x - k**3 - 199*k**2*x + 6*k*x + k - 11*x + 73493 wrt k?\nAnswer: -1412412*k*x - 6*k - 398*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 1\/7, -1, 3, 0.02, -0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225112*q**3 - 68*q - 283204424 wrt q.\nAnswer: -675336*q**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29896256549710 take away 4?\nAnswer: -29896256549714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**3)**(6\/5)\/(q*q*(q*q\/(q\/q**(-2\/11)*q))\/q)**(-2\/45) assuming q is positive.\nAnswer: q**(266\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -273\/5 - -55. Factor -4\/5*r**3 - 4\/5*r**2 + 2\/5*r + m*r**4 + 2\/5*r**5 + 2\/5.\nAnswer: 2*(r - 1)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 25. What is m(10)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + y - 29, -2*y - 180 = -178 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871.\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + (-46)\/(-10). Suppose 0*s = g*s - 2*y - 83, 4*s - y - 67 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 - (-2 - -13))) + 292 + -221?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559*b + 526*b = -363. Let f(h) = h**2 - 13*h + 22. What is f(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 8*k = -18, 4*k + 13 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.025 + -49.025. Let h = -48.9 - a. Which is smaller: h or -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/40956 and 59\/69831.\nAnswer: 953332812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2673920403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 7*j + j - 2*j**2 - 46*j**2. Let w be s(-2). Let v be (-4)\/w*(-3 + 6). Is v less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.5 (b) -4\/14133 (c) -1\/10 (d) -0.4 (e) 0.2 (f) 0 (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f*f\/(f**(-4)\/f)*f)))\/f**(-7))**(-24))**18 assuming f is positive.\nAnswer: f**(-6912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2 + 19. Let a(b) = 16*b**2. Determine w(a(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 529977899 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 - 12*h**2 - 3*h**2.\nAnswer: -15*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + -17)*1\/2. Let b(j) = -j**2 - 10*j + 11. Let d be b(l). Suppose f + 3 = -d. Sort f, -2, -4 in descending order.\nAnswer: -2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*7\/(-14)*0. Let j(s) = s + 1. Let l be j(0). Suppose 2*o = -3*v + l + 74, 3*o = b. Calculate the greatest common divisor of v and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4627\/2565 + 2\/513. Let x = 11\/5 + v. Let h = 67\/5 + -13. What is the nearest to x in h, 0.3, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztuuzghuzzzi. Give prob of sequence itgz.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1295, 1225, 1155, 1085?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from {g: 1, j: 3, c: 6, d: 5}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*d**2)*(66*d - 42*d + 10 - 34*d) to the form x + p*d**3 + w*d**2 + g*d and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 197484367000 rounded to the nearest 1000000?\nAnswer: 197484000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.9. Let q = 6 + -8.5. Let a = 3 + q. Sort x, a, 0 in descending order.\nAnswer: a, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 743\/44208 or -1?\nAnswer: 743\/44208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87*d**2*f - 14*d**2*q + d*f*q - d - 225*f*q - f + 3*q - 136 wrt d.\nAnswer: 174*d*f - 28*d*q + f*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 2*c)*(-4 - 5 + 2)*(-4 + 4 + c).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*r**4 - 5056*r**3 - 3696*r**2 - 916*r - 76 = 0. What is r?\nAnswer: -19, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 124. Suppose 5*l - s = 378. Suppose v = -v - 5*x + 36, 0 = 3*v - 2*x - 16. What is the greatest common factor of v and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/13688 - (-19 - 53641\/(-2813)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2*z - 4. Let l(p) = 6*p**2 + 11*p + 22. Suppose 5*j - 38 = -18. Let s(b) = j*l(b) + 22*q(b). Let k(u) = -10*u**2 - 4*u. Determine s(k(r)).\nAnswer: 200*r**4 + 160*r**3 + 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*r - 10, -9*w + 7*w - r = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**9\/12096 + w**8\/960 + w**7\/240 + w**6\/180 + 49*w**3\/2 - 24*w + 2. Let f(m) be the second derivative of d(m). Factor f(r).\nAnswer: r**2*(r + 1)*(r + 2)*(r + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*m + 734, -3*d - 912 = -6*m + m. What are the prime factors of m?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455110470 by -265.\nAnswer: 1717398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4 + 0\/3. Let g be 7 + (4 + 4)\/y. Solve 0 = -2*o + g*o - 2*u - 19, 0 = -2*u - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 8)\/(3\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-9))\/((-8)\/(-36)). Sort -5, 0, m in descending order.\nAnswer: 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 170 = -64*o - 54 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88)*2 + sqrt(88) + 1*(sqrt(88) + -1*sqrt(88)) + sqrt(88))\/(sqrt(288)*1 + sqrt(32)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -19. Suppose -2*c = k*f - 5*f - 891, -4469 = -5*f - 3*c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = -45*b + 1 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2\/287, -0.1, 0.3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 + -0.97. Let m = x - -1.1806. Round m to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2\/5, -7.9, 2, -196?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 5*l - 1. Suppose -2*o - 8 + 0 = 0. List the prime factors of n(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 38497*z + 808427. Give i(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 - 6. Let t = 97\/4 + -24. What is the nearest to t in -2\/5, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - 2*sqrt(65))*-4)\/(sqrt(25)\/sqrt(20)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 2)*(n + 4*n - 3*n) + 4 - 7 - n + 9)*(28*n**4 - 44*n**4 - 48*n**4).\nAnswer: -64*n**5 - 384*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(17 + 13 - 8 + (3 - 17 + 0)*(1 + 2 + 0))*(-4*s + s + 0*s) to the form m*s + t and give m.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12711.9 - -12623. Round s to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2. Let n be 1*1\/(-3) + 10\/30. Let h be d(n). Solve -8 = -3*i + i + k, -2*i + 4*k + 8 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/29)\/(m\/m**(2\/51))*(m*m**(-1\/8)\/m*m*m*m)**1 assuming m is positive.\nAnswer: m**(23057\/11832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/21)*n**4)**(4\/9))**(2\/49) assuming n is positive.\nAnswer: n**(688\/9261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 + 498*n\/7 - 1903544\/7 = 0. Calculate n.\nAnswer: -1108, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-21) - (-615)\/360.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -177553247\nAnswer: 5\/177553247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 6}. What is prob of picking 4 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704375701?\nAnswer: 704375701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -5, 112?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 38 = 148. What is the common denominator of 49\/4 and n\/99 - (-1)\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2) + -8 - (-90 + 6 + 6 - -8)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1186)\/54 - (1663 - 1685)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489 (base 10) to base 14.\nAnswer: 26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2364 - 4336. Let z = g - -1961.71. Let d = 0.49 + z. Round d to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 709 - 706. Suppose 0 = -4*g + 7*g - 2*u - 56, b*u = 5*g - 92. Solve -z + g = 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8529 and 25587?\nAnswer: 25587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3808, -2\/17, 2\/7, 3, 5, 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 450 + -883. Let g = r - -468.9. Let y = g + -36. Which is the third smallest value? (a) y (b) 1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 5*v**2 - v - 2. Let p be f(-5). Suppose p = -y + 2. Let j = -76 - -533\/7. What is the nearest to y in -1\/3, 2, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501166 times -3\nAnswer: 1503498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2040, 3539, 5990, 9393, 13748, 19055?\nAnswer: 25314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -548*n**4 - 3*n**3 + 472*n + 9578229 wrt n.\nAnswer: -2192*n**3 - 9*n**2 + 472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 943002 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-54)\/20853)*(-72)\/14. Let y be 5*(-3)\/6*k\/(-15). Factor -y + 993 + 8*c - 4*c**2.\nAnswer: -4*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.61475 to 0 decimal places.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d\/d**(-10)*d)*d*d*d)*d)\/d)\/d)\/d**(-4\/5) assuming d is positive.\nAnswer: d**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7963046 litres?\nAnswer: 796.3046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -46 + 61. Let u be 4*(-3)\/6*-2. Solve u*j - f = -7, 0 = -j + 5*j + y*f + 37 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 86880*i - 347626. Determine h(4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 16. Let t be (-570)\/(-42) - 6\/(-14). Calculate k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 9*n - 18. Let q(w) = -2*w**2 - 19*w + 36. Let i(y) = -5*h(y) - 2*q(y). Calculate the remainder when 39 is divided by i(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.16 (b) 4.4 (c) 0.1 (d) 2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 671745 and 10?\nAnswer: 1343490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -649144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 + 1 + -1)*16\/6. What is the highest common factor of 44 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.5, 2\/136289, -49 in descending order.\nAnswer: 0.5, 2\/136289, -10, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 866.106 - 867. Round j to two dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 84. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430983.2 litres in millilitres?\nAnswer: 430983200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 4. Let q(w) be the first derivative of 17*w**2\/2 - 7*w - 8. Let p(u) = 11*c(u) - 6*q(u). Find the first derivative of p(n) wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4988*a + 265 = 4962*a - i, 5 = -3*a + 5*i for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*r - 1\/3*r**2.\nAnswer: -r*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -71?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {z: 2, d: 4, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-3)\/(-9)*2) - (-116032)\/(-38332)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2846?\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/550)\/((-18)\/528*-20)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -77, -107?\n\"Answer: -30*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 6*v**4 + 1 + 17*v**4 - 2*v**2 - 4*v**4 - 6*v**4 to the form i*v**4 + a*v**3 + b + s*v**2 + r*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4152 and -85\/36?\nAnswer: 12456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15020111 (base 6) in base 3?\nAnswer: -222012121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -263, -362, -461, -560, -659, -758?\n\"Answer: -99*k - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2980 - 398*w + 2980)*(-8 + 2 - 3).\nAnswer: 3582*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -1 - 1\/2*n**2 + 5\/3*n**3 - 2*n. Let q(f) = -4*f**2 + f + 2. Let i be 4\/(-14) + (-60)\/(-14). Give i*q(w) + 3*j(w).\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -21*s**2 + 13*s**2 + 4*s + 10*s**2. Suppose 25 = -5*d + 2*w, 4*w - 46 = d - 23. Give y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -2101 and 14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 222395182995*r**3 - 5*r**2 - 222395182997*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 5:40 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576927 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3+512775955274\nAnswer: 512775955271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + 3\/6. Suppose -4*d = p - 5. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*k = -7*k - 13, 3*s - 95 = -5*k. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 10, -5*j - 4*q + 32 = -3*j. Let z be (26\/39)\/((-14)\/j). Is z less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*1\/(-8)*(-928)\/(-145).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**37*r)**38 assuming r is positive.\nAnswer: r**1482","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:26 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 10 - (-16 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*-2*4)\/(sqrt(168)\/sqrt(6)) + 5 + (sqrt(847) - (sqrt(847) + (-3*sqrt(847))**2 + -5)).\nAnswer: -7613 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7496 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 13. Let u(g) = -g**3 + 5*g**2 - 4*g + 4. Let h be u(y). Factor -6*m**2 - 10 + h*m**2 + 12 - m**3 - 5*m.\nAnswer: -(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.9 less than -4?\nAnswer: -138.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 5520, 20326, 49168, 96726?\nAnswer: 167680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -42?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 + 218*f**2\/5 - 848*f\/5 + 168.\nAnswer: -2*(f - 105)*(f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.8 (b) -1\/5 (c) -0.5 (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/836395?\nAnswer: 12\/836395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 7060609.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t**2 + 287*t - 33. Give g(-22).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 75*h - 70.\nAnswer: -5*(h - 14)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63342\/36)\/(1\/(-4)). List the prime factors of g\/(-17)*(-2)\/(-2 + 0).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) -5 (d) 1\/95 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e99 (base 15) in base 10?\nAnswer: -10044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**3 - 3*x**2 - 10*x + 75. Let o(k) = 2*k**3 + 3*k. Let i(m) = c(m) - 5*o(m). Calculate i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11437 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.126, -0.09, 2\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70, -61, -34, 17, 98, 215, 374, 581?\n\"Answer: k**3 + 3*k**2 - 7*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u + 19. Let w be k(-10). Suppose 5*b - 5*r = w + 96, 2*b = -r + 69. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -6. Let n = o + 34. What is the tens digit of (-8*n)\/((-2)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k. Let l be m(-1). Let p be 4\/12*(-12)\/l. Put -3, p, 0.3 in increasing order.\nAnswer: -3, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 28 = 4*c, -c - 3338 = 3*m - 3346 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071254 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23709 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*2*-3. Suppose 0 = -3*a - i - 3*i + 37, 0 = a - y*i + 5. Solve 4*u + a = -2*l + u, 2*l - 18 = 2*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110563 (base 12) in base 11?\nAnswer: 3583a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/6 - (57935\/(-15))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**2 + 3*q - 6. Let p(t) = 15*t**2 - 5*t + 11. Let o(m) = 4*p(m) + 7*r(m). Let l be o(-2). Let w = l + -15. Which is smaller: w or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.3. Suppose 4*p = -y + 26 - 5, -4*y = -5*p. Which is the biggest value? (a) x (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/25 - -176\/175. Sort t, -0.3, 0.2.\nAnswer: -0.3, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) 4 (c) 19 (d) -32 (e) -31 (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.76 (b) -3 (c) -2\/275 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 9*t**2 - 4*t - 21. Let d be b(8). Let y be 18 - d - (0 + 2 + 1). Solve y*h + h = 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2457*l - 2454*l - 7, -43*l = 2*w + 268 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Suppose 4*v = -20*j + 25*j - 10, -j = -2*v - 2. Solve -t - 5 = x*h, -h = 2*t + j*h + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let j be (-8)\/20 - 12\/(-5). Let n(q) be the second derivative of 0*q**j - q + 0 + 1\/3*q**3. Calculate v(n(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7867172 to the power of 1\/2, to the nearest integer?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 522, 1145, 2012, 3123, 4478?\n\"Answer: 122*u**2 + 13*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174457116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + y - 44321 + 1297 = 0, -2*a - 5*y = -86039. Is a a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34645\/54 or 643?\nAnswer: 34645\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**6\/8 + 7*p**3\/2 - 6*p**2. What is the first derivative of h(k) wrt k?\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5 - 10. Let o(v) = 3 - 2 + 4 - a + 7*v. Let j(n) = -8*n - 4. Let k(w) = 3*j(w) + 2*o(w). Differentiate k(t) with respect to t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 40497 divided by 3.\nAnswer: 13499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**4\/2 - 17*r**3\/3 - 16*r**2. What are the prime factors of s(12)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24536 divided by 109\nAnswer: 24536\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -39434.655 to the nearest one hundred.\nAnswer: -39400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.96 - -4.96. Suppose 3 = -12*s + 3. Which is the third biggest value? (a) s (b) z (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/(-3))\/(14\/147) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 28. Let b = q - -7. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5507?\nAnswer: 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**6\/15 + n**5\/5 - n**4\/6 - 2*n**3\/3 - 5*n + 7. Let d(y) be the first derivative of z(y). Factor d(p).\nAnswer: 2*p*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1337 + 1460*j - 1337)*(5 - 5 + 6*j).\nAnswer: 8760*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9081761 and 3081.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:50 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -320010 (base 4) to base 16\nAnswer: -e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j - 291. Let a = j + -31. Suppose -c = 5*p - p + 14, 31 = c - 5*p. Calculate the greatest common factor of a and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105.6 - -52.7. Let u = s - -28.9. Which is the third biggest value? (a) 4 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.14 in -0.3, 0.1, -1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16060 and 5496535.\nAnswer: 21986140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose -2*h + 308 = -r*h. Factor 72*x + 0*x - 8*x + h*x**2 + 98*x**3 + 8.\nAnswer: 2*(x + 1)*(7*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 78*h**2 - 25*h + 31. Does 16 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*s + 47703 + 94759. What is the greatest common factor of 92 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 34*p + 434. Give m(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*j - 78 = 0, -4*l + 0*j + 62 = -3*j. Calculate the remainder when 472\/l - (-16)\/56 is divided by 14\/2 + (0 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 66 = 22. Let i = -5296\/3 + 1767. Find the common denominator of (-3134)\/660 - (-8)\/b and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/4)*j)\/j*j**(-1\/5)*j*(j\/((j*(j*j*(j\/j**(2\/33))\/j*j)\/j)\/j*j))\/j*j**15\/j*j)**(1\/8) assuming j is positive.\nAnswer: j**(7663\/5280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 8. Suppose -9*p + 46 + 8 = 0. Suppose -l*z = 4*f - 288, p*f - 4*f - 138 = 2*z. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 3}. What is prob of picking 1 h and 1 f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.999468 and -5411991?\nAnswer: 5411993.999468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzt when three letters picked without replacement from htqiqzn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 48*n**2 - 141*n - 486. Let a(g) = g**3 + 50*g**2 - 142*g - 484. Let w(r) = -3*a(r) + 2*c(r). Let w(v) = 0. Calculate v.\nAnswer: -20, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 41. Let k be b(18). Let n be (k - 4)*4 - -28. Solve n*h - 20 = 27*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 4*q**2 + 8*q - 20. Let m be k(-6). Let c = 6\/25 - 92\/175. Let h = -8.95 - 0.05. Put m, h, c in increasing order.\nAnswer: h, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*f - 1, -3*c + 5*f = -1 - 0. What is the derivative of -7 + 4 - 4 - w**c wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyyyyyyynyyyy. Give prob of sequence yn.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028991 rounded to 7 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t. Let g(z) = -1. Let x(s) be the third derivative of -s**4\/24 + s**3\/3 - 3*s**2 + 3. Let y(o) = -5*g(o) + x(o). What is y(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8259596.79 to the nearest ten thousand.\nAnswer: -8260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005676451 to 6 decimal places.\nAnswer: 0.005676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = -4*f + 215 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 2*u + 1048 + 1031 - 2119, -3*i + 520 = -26*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*sqrt(192) + 5 + sqrt(192)*4*-1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*v - 71*v - 18 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2448*v**2 - 593 with respect to v.\nAnswer: 4896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9100\/(-1430) - (3\/(9\/(-21)) + 1)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -271 + 267. Which is the closest to 3\/4? (a) -1\/2 (b) s (c) -2\/7 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8))\/(h*h**(1\/6)))\/(h**(-2)*h**(-8)*h) assuming h is positive.\nAnswer: h**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13538.3 rounded to the nearest one hundred?\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-5\/9)*u**(-1)\/(u**(-6\/11)*u) assuming u is positive.\nAnswer: u**(-89\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543096*d + 257355 = -545091*d for d.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3683 divided by -169\nAnswer: -3683\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3770)\/(-35) - (57\/21 + -3). Let k(a) = -a**2 - 4 - 9*a + 1 + a. Let g be k(-5). Calculate the greatest common factor of g and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - s**2 - 1 - 3 + 3*s**2. Let c(p) = -8 - 6*p - 2*p**2 - 3 + 4*p**2 + 3*p**2. Let r(m) = 4*c(m) - 11*y(m). Factor r(j).\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(300) + 1 + -1*(sqrt(300) - sqrt(300)*2 - sqrt(300)))**2 + 5.\nAnswer: -13500 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + g = 4*s + 17, 5*s - 4*g = -24. Let d = 13 + -8. Let w = s + d. Which is the nearest to w? (a) -0.5 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/60 + 13*k**4\/24 - k**3 + k**2 + 2*k. Let b(w) be the first derivative of d(w). Is b(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 7. Let w(i) = i + 1123. Determine w(m) - 2*z(m).\nAnswer: -2*m**2 + m + 1109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 14 = 13*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 9. What is z(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i**3 - 9*i**2 - 9 - 6*i**3 + 24*i**3 - 9*i**3 - 9*i. Let b be q(10). Solve -n + 4 + b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -30. What is the least common multiple of 8 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/880)\/(192\/(-160))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1\/4, 1\/4, -1.37, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + -2 + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 0)*2)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 775 - 2271. Let w = a - 184. Solve 4*d = -2*t + 12 + 2, -w*d = -4*t - 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by -7.\nAnswer: 214\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-7326))\/((1632\/(-374))\/24)\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.5377 - 10.431. Round j to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51710 by 5.\nAnswer: 10342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1174488855 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*g + 54. Let f(t) = t**3 + 6*t**2 - 30*t - 10. Let i be f(-9). Let a = i - g. What is the second smallest value in a, -0.2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-3) + 17 + 1. Let x = f + -24. Let k(b) = -b - 8. What is k(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l - 223 + 559 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 7*m**2 + 5*m + 6. Let y be k(7). Suppose -6*a - 11 = -y. Solve 4*w + 3*p - 11 = 0, -3 = -a*w + 5*p + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let q(i) = -i - 1. Let v(y) = -8. Let l(r) = -7 - 3*r - 2*r + 4*r. Let a(b) = 3*l(b) - 2*v(b). Let o(p) = -a(p) + 5*q(p). Determine o(g(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + (-10)\/(-4). Suppose -4*y = a*g - 26, 3*y = 8*y - 5*g - 50. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + -3 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12279*b. Let r(a) = -2*a**2. Give f(r(g)).\nAnswer: -24558*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-2)*2\/3. Let q = 9 - v. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 5*w + 3*w)*(3 + 14 + 28)*(-w + w + 2*w).\nAnswer: -180*w**2 + 90*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77030452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/180 + i**5\/120 - i**4\/24 + i**3\/2 + 2*i**2. Let b(d) be the first derivative of o(d). Calculate b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227947 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 4*g - 13. Let r be j(-6). Let y = -10 + r. Let x(n) = n**2 + 6*n - 11. Let a be x(y). What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7938*z**3 - 150318*z**2 - 9568*z - 152.\nAnswer: 2*(z - 19)*(63*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 21 = 2*q - 3*v, v + 41 = 5*q. Solve p = 3*p + q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 + -143. Let t be -1 + 0 - 8*d\/(-6). Which is the third smallest value? (a) t (b) 0.12 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1044923, 1045060, 1045197, 1045334, 1045471?\nAnswer: 1045608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87999448 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.649 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**6\/24 + y**5\/15 - 7*y**2\/2 + 4. Let m(b) be the second derivative of u(b). Find the third derivative of m(a) wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 8. Let j be t(-13). Suppose -j*k + 27 = -103. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -0.7. Let t = 0.5 + j. Let w = 0.1 - 0.4. Put t, w, -9 in descending order.\nAnswer: w, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u*u**15)\/(u**(-2\/13))**(-2\/15) assuming u is positive.\nAnswer: u**(4481\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (67720\/(-20))\/(0 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100010211 - -10111200?\nAnswer: 110122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1219 + 6093\/5. Which is greater: g or 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/(-7) + (-20)\/35. Let y(k) = -2*k - 12. Calculate the remainder when 13 is divided by y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + ((-160)\/35 - -2). Which is the second biggest value? (a) f (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.68495ug in milligrams?\nAnswer: 0.03568495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyby when four letters picked without replacement from yyybyybybyy?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + 115 - (-22 - (-1 - ((0 - -1) + 2))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 2. Let x = -5.6 + z. Which is the closest to 1\/3? (a) -2\/3 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 139*f**2 - 316*f + 43884. What is l(139)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 5, j: 2, y: 5, h: 1}. Give prob of sequence ko.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 12*u + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 18\/(-20)*-124 - 280\/(-700)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 2:57 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60.5 - 61. What is l rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4381, -34929, -117843, -279307, -545505?\nAnswer: -942621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y)\/((y\/(y**(-3)*y))\/y*y)*(y**(-1))**11 assuming y is positive.\nAnswer: y**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-28)\/(-228)) - 4. Let v = c - 48. Sort 4, 2, v in decreasing order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -f - 25, 2*p + 3*f = 3 - 22. Let o = p + 18. Suppose y + 37 = 2*y + o*b, y - 64 = 5*b. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -110, -93, -58, 1, 90, 215?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850 and 1250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4346 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.39 + 0.09. Which is the second smallest value? (a) -2 (b) i (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -7*j**5\/20 + 5*j**4\/12 + j**2\/2 - j. Let k(a) = -3*a**3 + 2*a**2. Give -2*c(g) + 5*k(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:42 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -7. Let u = 44 + -36. What is the first derivative of 13 - u*m**2 + z*m**2 - 3*m**3 wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 408\/7 + -58. Let t = -64 + 62.98. Let y = 0.62 + t. Which is the fourth smallest value? (a) 5 (b) y (c) 3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/36)\/((-4)\/6). Find the third derivative of -9*z**4 - 3*z**m + 3*z**4 - 2*z**4 wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - b + 18 = -18, -3*p - 3*b = -12. Let k(q) = p*q**2 - 4*q**2 - 8*q**2. Let s(h) be the first derivative of -h**3\/3 + 1. What is k(s(i))?\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -f + 835, 4*f + 0*f = v - 213. Is 37 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 4*h**2 - 4*h - 3. Let k be ((-2)\/5)\/(2\/10). Let w be r(k). What is the closest to -0.1 in -0.2, 4, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43 - -41)*((-60)\/8 - 1)*11. Solve -7*w = -u + 208 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.48.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.5 (b) -2\/3 (c) 0.09 (d) -29 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85006, -340140, -765386, -1360744, -2126214?\n\"Answer: -85056*s**2 + 34*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 17*n**2 - 52*n - 159. Determine d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 14*i**3 + 2*i**2 + 54*i + 36.\nAnswer: 2*(i - 6)*(i - 3)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30827, -30829, -30843, -30875, -30931, -31017, -31139?\nAnswer: -31303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 1, v: 1, j: 2}. What is prob of picking 1 v and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 4\/5 (c) 46.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42335, 42332, 42329, 42326, 42323, 42320?\n\"Answer: -3*t + 42338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - -2. What is the smallest value in 1\/4, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 6*o**2 - 6*o - 9. Let y be (-27)\/4 + (-15)\/60. Calculate c(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950200 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000278 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442345311 (base 6) to base 4.\nAnswer: 132113222023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-99)*-9*(-4)\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 3) - 2 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s**2 - 3. Let a(d) = -d**3 + d**2 - 1. Let z be 2\/(-20)*1 - 21669\/(-6990). Suppose 0 = 2*y + 2*y + 4. Calculate y*i(b) + z*a(b).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02877353 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -1, 228 in increasing order.\nAnswer: -70, -1, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 95 = -2*l, 0*n + 2*n - l - 47 = 0. Let o be 14\/3 - (-7)\/n. Suppose 145 = 4*y + o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-78)\/(-9))\/(29\/6090)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 52 - 19*l - 16 - 6*l**2. What is the remainder when 35 is divided by w(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9026 and 117338?\nAnswer: 117338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 1, n: 2}. What is prob of picking 1 u, 1 n, and 1 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3452420396.998703 + -3452423442. Let i = n - -3045. Round i to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -591 + 844. What are the prime factors of b?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 124266*o**2 - 1118540*o - 994272.\nAnswer: 2*(o - 62142)*(o + 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93300284 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*c = 2*j - 381*c + 12, -12*c = 3*j - 117 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24689 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: Solve -133*i - 60 = -3*x - 138*i, 3*x - x - 48 = -6*i for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*(17280\/(-24))\/36?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 13*s - 79. Let z(t) = t**2 - 12*t - 77. Let o(i) = -2*f(i) + 3*z(i). List the prime factors of o(22).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294762591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-12)*(-306)\/(-51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 34 = 10. Suppose -i = -5*d + 7*d. What is the units digit of d\/9 + (-57)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214263.\nAnswer: 443, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 19, 1 in ascending order.\nAnswer: -23, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 0.4, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**9\/(a**(-5)*a*a))**(-12))**(1\/32))**(2\/39) assuming a is positive.\nAnswer: a**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 5*v = -24. Factor -4*q**2 - q**2 + 28 - 12 + v*q + 3*q**2.\nAnswer: -2*(q - 4)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -0.3, 1, 89?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475726 (base 13) to base 8.\nAnswer: 6363023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 15199 + 90557. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 2, l: 5, k: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27857079 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095247158 rounded to 4 decimal places?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -112202?\nAnswer: -112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-33)*w)\/w)\/(w*w**11\/w))\/(w\/w**23)**(-23) assuming w is positive.\nAnswer: w**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3\/5 - 104*h**2\/5 + 98*h\/5 + 96.\nAnswer: 2*(h - 16)*(h - 3)*(3*h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43732 - 0.33732. What is the nearest to p in 4\/3, 2\/21, 4\/7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 5049.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzo when three letters picked without replacement from zooro.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g**3 + 11*g**2 + 12*g + 3. Let c(x) = 5*x**3 - 5*x**2 - 6*x - 1. Determine -9*c(d) - 4*h(d).\nAnswer: -d**3 + d**2 + 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25670423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 320 (base 4) to base 10\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.077 + -60.923. Let t = 17847166.000178 + -17847227. Let j = m - t. Round j to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -311 + 311. Sort s, 31, 26 in increasing order.\nAnswer: s, 26, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 152*l**2 + 64*l - 209. Does 78 divide c(-67)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -58*18457\/(-23)*(-9)\/1080. Let z = w - -8886\/23. Find the common denominator of -19\/66 and z.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 10. Let m be (-15 - 0 - (-2060)\/140)*-14. Sort x, 68, m.\nAnswer: x, m, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 25*t**2 - 5*t**2 + 2*t**2 + 3*t**2 to k + y*t + u*t**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0337854946 rounded to four decimal places?\nAnswer: 0.0338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/7910 and -18\/597205.\nAnswer: 1194410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*n = -3*n - 248, 0 = -5*l + 4*n + 1185. Let c(i) = -i**3 - 43*i**2 + 44*i - 95. Let r be c(-44). Let j = l + r. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r - 20. Let f be 10\/(-15) + 2\/3. Suppose f*n = -n + 2. Solve d = -r*w + 9, -n*d + 3*w - 4 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17473\/5576 - 6\/697. What is the common denominator of -45\/11 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, q: 2}. What is prob of picking 2 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 126*c + 759. Let k be u(-6). Let y(q) be the first derivative of -20*q**k - 6 + 15\/2*q**4 - 15*q - q**5 + 25*q**2. Solve y(d) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {s: 3, a: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 5. Let s be q(-1). Suppose s = -3*j + 1. Let m be (-4)\/(-18) + 2202\/54 - j. Solve -3*r - m = 5*a - 11, -5 = a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 36505.356.\nAnswer: -3285.48204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 82*n = 86*n + 72 - 60, -3 = -d - n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 divided by 91?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (722*z + 694*z - 1531*z)*(346*z + z**3 + 0*z**3 - 321*z) to f*z**2 + o*z**3 + b*z + t + s*z**4 and give f.\nAnswer: -2875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -91030 divided by 5\nAnswer: -18206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.93319ml in litres?\nAnswer: 0.07993319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -134. Suppose -r*i + 20 = -i. Let l(g) = 14*g - 32. What are the prime factors of l(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000102 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.563 plus -373.73851?\nAnswer: -243.17551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101025 by -6735.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369744 or 369507?\nAnswer: 369507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 1, -203, -3 in increasing order.\nAnswer: -203, -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.153796l?\nAnswer: 3153.796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k**(5\/7)\/k*k))\/k*k))\/k**(-6))\/(k**(-16)*k\/(k*k\/(k*k*k**(-14)*k)*k)) assuming k is positive.\nAnswer: k**(250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.984093 centuries?\nAnswer: 0.9984093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034961 is divided by 404.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10605*q - 12487?\nAnswer: -10605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417743, 835488, 1253233, 1670978, 2088723, 2506468?\nAnswer: 2924213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -30, -12, 12, 42, 78, 120?\n\"Answer: 3*c**2 + 3*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(11\/9152). Let y be (-234)\/j*(-4)\/(-3). Which is the nearest to -1? (a) -0.5 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5585395*k**3 - 1888741*k**2 wrt k?\nAnswer: 33512370","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 116999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132\/18 - (-6)\/9. Suppose -3*c + t*c = 7350. Suppose 0 = -3*i + c + 489. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111200222002002 (base 3) to base 7\nAnswer: 115616300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.58816806 rounded to 4 dps?\nAnswer: 1.5882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 2\/8*4. Suppose w*b - 3*b = 0. Suppose -p - 2*p + 12 = b. What is the greatest common divisor of p and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 2*y**2 + 11*y - 16. Determine i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27321\/4 + -6876. Put c, 0.4, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 49*n**2 - 1150*n - 7876. What is b(-7)?\nAnswer: 2575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 123?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + o = -17, -f + 2*o = -0*f + 2. Solve 20 - f = 4*j, 4 = -4*u - 4*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 2 g when four letters picked without replacement from gjxjjhhxxxh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-165)\/(-4) + (-20)\/80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -1, 0, -6, 900\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-70)*-103*155\/(-6386).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*s + 246*s - 84*s - 83*s - 1153*s**2 to the form w + h*s**2 + c*s and give h.\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)\/(r*r**(-2\/21))*(r*(r**(-2\/9)\/r)\/r*r)\/r**(-1) assuming r is positive.\nAnswer: r**(-71\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2. Let b(u) = -u**2. Determine n(b(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0 - 1\/40*a**6 + 0*a**4 + 17*a + 0*a**3 + 0*a**2 - 3\/40*a**5. Let l(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 130048, 36, 2 in decreasing order.\nAnswer: 130048, 36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/20 - j**4\/3 + 2*j**3\/3 - 3*j**2\/2 - j. Let i be v(-5). Let n = 3573\/2840 - 33\/568. Is i less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10)*(-16)\/(-2). Suppose 5*a - 10 = 0, 5*d + m*a - 22 = 3*a. Put d, -2, -4, -3 in decreasing order.\nAnswer: d, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307367113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48108 divided by -6.\nAnswer: 8018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8211 + -8099. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = 5*x, -32*x - 2 = -29*x + 2*h. Let j(g) = 16*g**3 - 2*g + 1. Let s be j(1). Solve -5*d + s = -x*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, 52, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14990561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w. Let t(y) = y**2 + 33. Calculate t(v(s)).\nAnswer: 64*s**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -7*v + 54. Let s = -19 + v. Let c(p) = p**2 - s - 58*p + 59*p - 2*p**2 + 2*p**2. What is c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 40*h**2 - 13*h + 86. Let u(p) = 13*p**2 - 4*p + 29. Let i(m) = -2*b(m) + 7*u(m). Is i(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 - 897a?\nAnswer: -899e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 705882065 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -11, -5, -26, 5, -4 in increasing order.\nAnswer: -26, -11, -5, -4, 5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11380188025 rounded to four dps?\nAnswer: -0.1138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (621\/18 + -9 - 1) + (-6)\/4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -8*t + 356. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or 15\/38?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23040 and 120.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0463 and 0.4?\nAnswer: 0.01852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 59 = -318771*w + 318776*w, 5*n + 8*w = 94 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9)*h)**(1\/24)*h**(-1\/4)*h**(-2)\/h)\/((h*(h*h**(-2\/11))\/h)\/(h**(-6)\/h)*(h\/(h*h**(-3\/10)))\/h**(-5)) assuming h is positive.\nAnswer: h**(-194069\/11880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*h**3 - 72*h**3 + 3*h + 2 + 137*h**3 - 68*h**4 - 31*h**3 to the form a*h**2 + m*h + s + z*h**3 + g*h**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24741?\nAnswer: 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 6*r**3 - 12*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.11683, -1\/5, -5, -0.08, 1\/8, -1, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 - z**4 - z**4)*(-2*z + 5*z - 2*z) - 1063*z**4 - 163*z**5 - 1058*z**4 + 2121*z**4.\nAnswer: -165*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.181 + 0.22. Let i = -4.961 - u. Put -1, 0.5, 1\/5, i in increasing order.\nAnswer: i, -1, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**4 + x**3 - x + 1. Let j(m) = 12*m**4 + m**3 + 45*m**2 + 53*m - 3. Let g(k) = -j(k) - 3*u(k). Suppose g(z) = 0. Calculate z.\nAnswer: -2, -5\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/354 - 71\/210)\/((-15)\/7).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49396, -93739, -138082?\nAnswer: -182425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523 = 87*g + 771 + 1927 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:39 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -13230303032?\nAnswer: 13230303040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/5)*v**6)**(-3\/4) assuming v is positive.\nAnswer: v**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -43\/3*x**4 + 0 + x + 0*x**5 - 1\/105*x**7 - 41\/120*x**6 + 29*x**2 + 0*x**3. Find the second derivative of g(u) wrt u.\nAnswer: -24*u**2 - 246*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 40*o**4 - 7*o**3 - 7*o + 84. Let k(r) = 27*r**4 - 5*r**3 - 5*r + 56. Let i(t) = 7*k(t) - 5*v(t). Find the first derivative of i(f) wrt f.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240061 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(2 - 20\/8). Let c be (-5 - -6)\/((-3)\/a). Solve 1 = c*i + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -687 - 44466?\nAnswer: -45264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -88*b**2. Let i(p) = 25*p**2 - 588*p + 13. Let a(y) = 49*y - 1. Let l(q) = -12*a(q) - i(q). What is x(l(m))?\nAnswer: -55000*m**4 - 4400*m**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 38*w - 3. Is f(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 p, and 1 y when four letters picked without replacement from cpyapcayppcpppyywc?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 + -7 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293258057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -2 - (157 + -95 - 73).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 0 (c) 8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 35173800.\nAnswer: 35173800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -818 - -817.657. Let y = b - -0.343000469. What is y rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14094)\/135)\/(-29)*(-3)\/(-6)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 c when four letters picked without replacement from jcjxxccxxxjcxcccjpxx.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10 and 187\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 667 + -415. Let g = -243 + y. What is the remainder when 96 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -8. Calculate the smallest common multiple of 21 and f.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163006859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 4*j = 13*m - 332, 3*j - 1366 = -4*m. Calculate the remainder when m is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 25, 4*d - 1 = -5*j. Let f = 12326 + -12326.09. Is d greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14113, 14123, 14141, 14167, 14201, 14243?\nAnswer: 14293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + 6*n + 6*n - 5*n)*(-1 - 4 + 0)*(1 + 4 + 2) to q + x*n**2 + s*n and give s.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -0.3, 3, -1.08, -14, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1788 and 47\/84.\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:21 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 3512 = -4*a - 7*w, -4378 = -5*a - w. Let d be ((-2676)\/a - 1) + (-4)\/(-1). Is -1 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26122487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a hour?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 23. Let v be a(14). Are v and 9 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1460*w - 150. Let h be f(-19). Round h to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x + 9. Let a be o(-5). Suppose -5*s = -a - 11. What is the smallest common multiple of s and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1872909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 6. Let g(w) = 2*w - 12. Let z(c) = -3*g(c) + 7*y(c). Let r be z(8). What is the second derivative of 7*f**r + 2*f**3 + 2*f - 7*f**2 wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/21)\/(1*(-138)\/1771).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 123\/4, -1\/2, 2, 1\/48 in descending order.\nAnswer: 123\/4, 2, 0.1, 1\/48, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Let w be 3 - (0 + (u - 3)). Solve 0 = w*a - 0*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22565 and -1?\nAnswer: -22565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1047062, -1047080, -1047110, -1047152, -1047206, -1047272?\n\"Answer: -6*z**2 - 1047056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 474986*n\/3 - 474988\/3.\nAnswer: 2*(n - 1)*(n + 237494)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/24 and -103\/380776?\nAnswer: 1142328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 78. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*i**2 - 86*i**2 + 1585*i**3 - 31 + 2*i + 61*i**2 wrt i?\nAnswer: 9510*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -37. Suppose -5*u + 107 = 3*o, -u - o + 14 + 7 = 0. Let s = u - a. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/238936 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.67412 milliseconds to weeks.\nAnswer: 0.0000016347125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b. Let a(x) = 39705*x**2 + 4. Determine f(a(w)).\nAnswer: 317640*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20056 is divided by 284?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 45. What is the greatest common divisor of 49 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 158?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -38*j**4 - 9*j + 162. Let o(d) = -13*d**4 - 3*d + 54. Let p(l) = 6*m(l) - 17*o(l). What is the derivative of p(n) wrt n?\nAnswer: -28*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 5. Let r be n(-2). Suppose -27 = -5*o - 3*y - 0, -r*y - 3 = 0. Suppose o*h - 23 - 25 = 0. Calculate the least common multiple of 39 and h.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400824 divided by 12?\nAnswer: 33402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 + 3*j**2 + 2*j**2 - 5*j**2 + 1.\nAnswer: -6*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0. Let j = v + 0. Let s be (-33)\/110 + (-82)\/(-140). What is the nearest to s in j, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnnrmyqyyy. Give prob of sequence ynqq.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826552 divided by -8?\nAnswer: -353319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 1 in descending order.\nAnswer: 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -1. Let m be t\/(-10) - (-874)\/115. Suppose -m = -u + 2*l - 1, 2*l + 13 = 3*u. Solve 0 - u = -3*d + 4*j, 0 = -3*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3937.8 + -3938. What is the nearest to x in -0.12, 0.2, 1\/9?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(6)\/sqrt(2) - (2 + sqrt(192) + sqrt(3) - sqrt(3))**2.\nAnswer: -197 - 31*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 524?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 4 + 0*z**2 + 53*z**3 + 2 + 586*z - 585*z + 0 to i*z**3 + u + d*z**2 + x*z and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/23, -1\/6, -1, -33, -0.5 in descending order.\nAnswer: -1\/23, -1\/6, -0.5, -1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8410995 divided by 9015.\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 110 = 2. Let d = -20 + m. What are the prime factors of (d - -5)*151\/1?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/8)\/(2\/(-148)). Suppose 0 = -11*m - 3*m + 518. Calculate the greatest common divisor of m and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (57\/(-171))\/(2\/(-12)). Which is the closest to 1\/5? (a) v (b) -0.09 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 - (-949)\/91)\/(2\/7). Solve -3*k + 4*j = 27, 5*j - u = k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51139*r*w**3 - 18181*w**3 wrt r?\nAnswer: 51139*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose -j - 4*v + 11 = 0, -129 = -q*j - 2*v - 15. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c - 2 + 38*c + 40*c - 227*c - 79*c.\nAnswer: -199*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -708*c - 36110. Give h(-51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142920 is divided by 1958?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -30, 2, -17, 5 in decreasing order.\nAnswer: 5, 2, -14, -17, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o + 5. Let p(l) = -1. Calculate c(q) + 4*p(q).\nAnswer: -15*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {z: 2, h: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/70 + 7*l**3\/6 - 3*l**2. What is the first derivative of z(m) wrt m?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14381 (b) 2\/5 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 3*j**2 + 5. Let m(t) = -t**2 - t + 11. Suppose 5*i = 11*i. What is the remainder when o(4) is divided by m(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238 - 215. Let b = 58 - x. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 0.5. Let m = -1.1 + a. Put -4, 3\/7, m in descending order.\nAnswer: 3\/7, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:40 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 = 5*z, 2*a + 0*z - 3*z = 24. Solve 3*f - 2*j - 11 = a, -3*j = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*j + 6. Solve 3*b - 19 = -4*h, 0 = h + b - j - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 2 + 4 - 1, 3*r - 38 = 8*v - 3*v for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 5*b = -11*b + 192 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-45)*5)\/((-2)\/4). Is n at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18003 (base 11) to base 4\nAnswer: 12023030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9689?\nAnswer: 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 366021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.155 and 834.\nAnswer: -1797.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*r - 264, 3*r + 244 + 24 = 4*f. Suppose -v + 16 = -f. Suppose -4*k - v = -9*k. Solve -k = 5*z + 3*w, -z + 4*w + 10 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 281.863 tonnes?\nAnswer: 281863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:36 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Let k be 6\/(-12)*(-8)\/1. Suppose 0 = 5*z + 5*q - 13 - 2, -2*q = -k*z + 6. What is the greatest common factor of u and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62ad0a (base 14) in base 3?\nAnswer: -20021101002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/4)*z*z*z*z\/(z\/(z**17*z))*z**20*z**(-4)\/z assuming z is positive.\nAnswer: z**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 1366 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = -d. Suppose 4*m = -4*z + 32, m - 5*z + 30 = 8. Solve -m*o + 6*c - c = 10, -d*o - 15 = -5*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17578651 + -25566651. What is b rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28974627 or -2\/7?\nAnswer: 28974627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i**3 - 53694*i**2 - 592056*i - 969600 = 0.\nAnswer: -1616, -100\/11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341524442 + -210?\nAnswer: 341524232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 24177?\nAnswer: 338478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 - 105. Suppose -122 = -3*b - h. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44*27\/243)\/((-4)\/(-18))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2. Let y(j) = -60*j**2 + 5. What is l(y(o))?\nAnswer: -14400*o**4 + 2400*o**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/4 + 5*d**3\/3 - 7*d + 62. Suppose w + 9 = 14. Calculate x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 0.1, -0.3, -2\/491?\nAnswer: -2\/491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*x + 4*x - 40424. What are the prime factors of x?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -2 (c) 0 (d) 416\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 76 = -12110*l + 12108*l, 2*u + u - 3*l = -18 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*d - 182, 0 = -24*d - 41571*q + 41572*q + 1106 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 10 = -17*k. Let x be 40\/k*(-32)\/(-80). Calculate the greatest common divisor of 72 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**0)**41\/((t**(-1\/4)*t*t\/t**(-1\/6))\/((t**4\/t)\/t*t\/((t*t**(1\/13))\/t))) assuming t is positive.\nAnswer: t**(157\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 295*i**2 - 111*i - 1254. What is z(-98)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 24*h**2 - 9405*h - 1365. Determine j(392).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 82. Let i be c(26). Suppose 8*x - 3*z + 71 = 9*x, 43 = x - i*z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2767 times -3149\nAnswer: -8713283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p - 6. Let y = 1 - p. Suppose -6 = f - 2*j, -f - y*j + 27 = 2*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -470\/169779 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 498417060 to the power of 1\/2, to the nearest integer?\nAnswer: 22325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 15*c - 861 = 104*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + 2 + sqrt(125) + (0 + sqrt(125) + -2 - sqrt(125) - sqrt(125)) + -5))**2*2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.63776t in nanograms?\nAnswer: 58637760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 347598482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 165 = 42*t. Let k(a) be the first derivative of -9*a + 0*a**2 + 8 + 0*a**t + 5\/4*a**4. Differentiate k(d) wrt d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450255.\nAnswer: 5, 89, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 + 0*a**2 + 18*a + 2\/3*a**3. Let r(w) = -12*w**2. Give r(k(x)).\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 291639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 2 - -14) + -11. Let a(p) = p**2 + 5*p - 5. Calculate a(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5 + 123*q**4 - 20376*q**3 - 972816*q**2 + 3176448*q + 4128768 = 0.\nAnswer: -64, -1, 4, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 11. Let l be t(-6). Suppose 3*c + 2*n - 9 = 0, 5*c - 12 = c + l*n. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f - 4. Let m be v(-2). Let t = m - 9. Let j(x) = -t*x + 6*x + x + 5*x. Let g(a) = -2*a. Determine g(j(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7556*x - 52578. Calculate d(7).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and 21\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -110. Let c = 4 - 7. What is the third biggest value in c, 1\/7, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2 + 3*c**2 + 418*c - 392*c + 37*c**3 wrt c.\nAnswer: 222*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45886 is divided by 85.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1685801?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w = -64. Does 34 divide w\/(-6) + (-20)\/(-15) + 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 5, 4\/7, -0.4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25920 = 4559*z + 88055 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/60 and -49\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1503*l**2 + 105*l + 749. Is s(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1360 + -1357. Solve 6*u - 4*u - q*i - 20 = 0, -3*i - 28 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3574 - 1525. Let n = 2048.8777 - j. What is n rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10012021 (base 3) to base 6.\nAnswer: -14441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**3 - 18*a**2 - 3*a + 69 wrt a?\nAnswer: 54*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - t. Calculate s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9636554 nanoseconds?\nAnswer: 0.0000009636554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, 0, 3 in descending order.\nAnswer: 3, 0, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:21 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let f(p) be the third derivative of -p**3\/6 - p**2. Let j be (-2)\/6*(-7 + 4). Suppose -j = 2*y - 5. Calculate y*q(z) + f(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 306 - 157 - 707*t - 151 + 726*t. Determine c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 2 + 2 + (0 + 0 - q)*(-9 + 9 - 9).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -16*p + 31. Which is the nearest to 1? (a) -0.03 (b) p (c) -0.25 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 37 - 42)*(2*v - 5*v + 5*v + (1 - 1 - 2*v)*(-2 - 2 + 2) - 3*v + v + 3*v) as f + a*v and give a.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*i - i + 0*i + (0 - 4 + 3)*(-1 + 1 + 2*i) - 4 + 4 + 6*i.\nAnswer: -115*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 942, 2136, 3814, 5976, 8622, 11752?\nAnswer: 15366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 7*c**3 + 11*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76767 is divided by 526.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7966551m to millimeters.\nAnswer: 796.6551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 6*u - 7. Is 16 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709410 = 12657*s - 12667*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 37*y**5\/9 - 5515*y**4\/9 + 1768*y**3 + 85144*y**2\/9 + 60176*y\/9 - 1168\/3 = 0.\nAnswer: -2, -1, 2\/37, 6, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 454141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92729 and 9412.\nAnswer: 67135796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12 - 32*v**2 + 27*v**2 - v - 2041*v**3 - 3*v + 12*v. Let q be r(6). Round q to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 77. Calculate the remainder when i is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f + 201. Let j be y(-9). Let w(c) = -1263*c + 1. Let l be w(-1). Suppose 4*v - j = l. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:24 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + c - 110 = -91, 5*c + 1 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 - (-22)\/10. Let t(v) = -v**3 - 6*v**2 - 5*v - 2. Let l be t(-4). Calculate the common denominator of -23\/8 and n\/20*l\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/4 - d**3\/6 + 2*d**2 - d + 4277. Let f(m) = -9*m**2. Calculate s(f(x)).\nAnswer: 1215*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = -3, 4*i = -5*a - 187. What is the remainder when 76 is divided by (1 - (-5)\/(-3))*a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741 = c + 70. Suppose 5*s - 107 = 2*l + c, 3*s - 464 = 4*l. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*f**3 - 187*f**3 + 142*f**3 - 13*f + 4 in the form z*f + t*f**3 + k + v*f**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.49 + 0.01. Let q = x - -0.5. Let k = -0.04 - 0.36. Which is the third biggest value? (a) -1 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1470\/(-56))\/(966\/1104)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.3759158 rounded to 1 dp?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 90*i + 1. Let g(w) = 131888*w**2 + 2*w. Calculate b(g(j)).\nAnswer: 11869920*j**2 + 180*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 10 + 5. Let c(i) = -1. Let n(r) = r + 2. Determine j*n(p) - 2*c(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1) + -75 + 5. Let v(t) = 37*t - 219. Let o be v(6). Let d = o - h. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1665465 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3abb (base 16) to base 9\nAnswer: -22555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) -8\/11 (d) -2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186498373?\nAnswer: 29, 61, 433, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217261, -869065, -1955411, -3476299, -5431729, -7821701?\nAnswer: -10646215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, p: 5}. Give prob of picking 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*y - 9*c**2*d*y + 2*c*y**3 + 36*d*y**3 - 2*y**3 + 221*y**2 wrt c.\nAnswer: 3*c**2*y - 18*c*d*y + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -927745 less than -13?\nAnswer: 927732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47 + 46)\/((-2)\/66)*6\/9. Solve -w = -v - 1, -2*w + v + j = 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5064.637t to kilograms.\nAnswer: 5064637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 860341139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) + -1)*1 + sqrt(3) + -5.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppff. What is prob of sequence ppf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29922, -30244, -30566, -30888?\n\"Answer: -322*m - 29600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:08 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15109*j**2*l**2 + 3*j**2*l - 403*j**2 + 8*j + 1201*l**2 - 277 wrt l.\nAnswer: -30218*j**2 + 2402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcuuccpchpcchcueuu. Give prob of picking 2 u, 1 e, and 1 c.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3149077.\nAnswer: 3149077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510589, 510561, 510533, 510505?\nAnswer: 510477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrttatrzart. What is prob of sequence trar?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (984\/4182)\/(76\/5491).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Let l(j) = -j**2 - 2*j - 1. Let z be l(-1). Suppose -i - q + x*q = -3, -i + 2*q + 7 = z. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let x be f\/12 + (-3)\/(-4). Sort 3, x, 0.5 in descending order.\nAnswer: 3, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2194665 is divided by 548639.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46382570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45, 92, 137, 180, 221?\n\"Answer: -f**2 + 50*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 71 = -4*x - 2, -2*x - 29 = -3*n. Let u = 31 + x. Suppose o + 18 = -5*j, -3*o - 7*j - 10 = -3*j. Solve -q - 11 = 5*z, o*q - u = z - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -6. Let g be i\/(-5) + (-8)\/(-5). Suppose -2*y - g*s = 3*s - 28, -4 = -4*y + 3*s. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 17*c**2. Let v(w) = 2388*w**2 + 4*w - 3*w - 2387*w**2 + 2*w. Determine h(v(x)).\nAnswer: 17*x**4 + 102*x**3 + 153*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 i, and 1 r when four letters picked without replacement from zzziqriqzszkrk?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r + f + 84, 195 = -5*r + 2*f. Let l = 90 + r. Find the common denominator of 21\/l*266\/(-20) and 41\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83418 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 570, 2333, 5278, 9411, 14738, 21265?\n\"Answer: f**3 + 585*f**2 + f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 7*z**2 - 10*z - 4. Let b be c(-8). What are the prime factors of 4\/(-5)*(-150)\/b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l + 5*x - 55, -4*l = -2*x - 74. Solve -5*z - l = -5*g, 4*g + 1 - 9 = 2*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -18 (b) -0.5 (c) 58 (d) 2\/7 (e) 0.2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**(1\/60))**(-29) assuming g is positive.\nAnswer: g**(-29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 3*i**5\/5 + 5*i**3 + 3*i**2\/2 - i + 21. Find the second derivative of h(c) wrt c.\nAnswer: 36*c**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54562, -54559, -54556, -54553, -54550?\nAnswer: -54547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + ((sqrt(187) + (sqrt(187) - (sqrt(187)*2 - sqrt(187))))\/sqrt(11) - sqrt(17)) + -2*(sqrt(17) - sqrt(17)*-4*-5))*-1.\nAnswer: -114*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235551046?\nAnswer: 2, 117775523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 9*y = -0*q - 4*q + 6, -q - 3*y = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*m - 548*m - 161*m + 75*m.\nAnswer: -472*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d**2 + 3*d - 2. Let r = -10 + 7. Let x be (r\/3)\/((-1)\/(-1)). Let t be 2 + -3 + (2 - x). Calculate h(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135894 divided by -2059\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q**3 - 5*q**2 + 5*q + 5. Let g(b) = b**3 - b**2 + b + 1. What is -5*g(o) + u(o)?\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50534 divided by -2?\nAnswer: -25267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25857\/4563 - 2\/(-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61488526, -122977047, -184465564, -245954077?\nAnswer: -307442586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 45900 = -20*f. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 3858633?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -35173 in increasing order.\nAnswer: -35173, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 1760091\nAnswer: 17600.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3814 * 2365\nAnswer: -9020110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28403338261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48462 - -46158. Is -2304 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88112?\nAnswer: 2, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-210)\/4*(-20)\/(-15). Let i(l) = 164*l - 10. Let j be i(5). Let z = n - j. Round z to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-2 + (-2 - 80) - (868 - 878) - -14).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + (-5)\/15. Let n(j) = 3*j + i*j + 30 - 4*j. Let h be n(0). What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72801111?\nAnswer: 3, 139, 174583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/2))**(-2\/21)*(h*((h**(2\/5)\/h)\/h)\/h)**(-21) assuming h is positive.\nAnswer: h**(3523\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + -0.3. Let v be -5 + 3 - 2 - -2. What is the closest to 2\/3 in v, p, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xub when three letters picked without replacement from {x: 7, g: 5, u: 1, b: 1}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihniiinhiiniiniiiti. Give prob of picking 1 h and 1 n.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-426))\/((-84)\/2898*-23).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:43 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000101 (base 2) to base 15.\nAnswer: 2d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 65.37811 seconds?\nAnswer: 65378110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:36 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 6375?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -74, -170, -304, -476, -686?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8304*v**2 - 28*v**3 + 8303*v**2 + 2 - 14)*(-v - 5*v + 4*v) to the form l*v**4 + y*v**3 + c*v**2 + t + r*v and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -443726 + 4004?\nAnswer: -437722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*s - 3*c, -4*s - 12*c = -9*c - 1. Solve -3*m = s*t + 10, m + 1 = -t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -6, 0.4, -1, -7 in ascending order.\nAnswer: -7, -6, -1, -2\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**3*y**3 + 2928*x**3*y + 567*y**3 - 2*y**2 - 7 with respect to x.\nAnswer: -3*x**2*y**3 + 8784*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 6:23 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1120351 (base 7) to base 3\nAnswer: -21002021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {a: 5, v: 3, c: 2, f: 1, i: 1, r: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501 - 85 = 8*x. Suppose -53*u + x*u = 170000. Round u to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4970 is divided by 102.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:07 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 15 = 0. Suppose z*u + 0 = 10. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1459 or 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3498)\/(-218042)*(-85)\/(-10).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.97 - -4.6972. What is f rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 8 + 4. Suppose 0 = s*v - 7*v. Suppose v = 3*h - 2 - 7. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*v**4 + 9*a**2 + 6*a*v - 431*a + 33*v**4 with respect to v.\nAnswer: -16*a**2*v**3 + 6*a + 132*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4242243, 4242245, 4242247, 4242249, 4242251, 4242253?\n\"Answer: 2*n + 4242241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, 5*m + 27 = -2*n + 3*n. Solve f = -n*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5364*-15*(-3)\/540 is divided by 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-18))\/(2\/(-8)). Let a(p) = -p**3 + 2*p**2 + 3*p - 3. Let n be a(2). Suppose n*x + 2 = -4. Do x and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 23 + -22 - (2 + -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/825 and -2\/11.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(-1 + 1 + 3*r)*(5 + 2 + 7).\nAnswer: -126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20191 - 3707 = 3*w + 4*s, 0 = 4*s - 8. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1843\/232 - 27\/29. Let z(v) = v**3 - 2*v**2 - 5*v + 4. Let x be z(3). Find the common denominator of x + (-2)\/12*23 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g. Let d be x(-4). Suppose 0 = 14*l + 1431 + 795. Let p = 379 + l. Calculate the greatest common divisor of p and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*y - 330 - 343 - 875 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(((-8)\/24)\/((-4)\/(-12)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2025 and -47\/9291.\nAnswer: 6271425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2dad36 - -64?\nAnswer: -2dacd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - -72. Let m = r - 30. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (191*r + 205*r + 81*r - 96*r)*(-1 + 0 + 4) to the form a*r + p and give a.\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(64))\/(-2*sqrt(288)) - (sqrt(2000)*1)\/(sqrt(810)*-3).\nAnswer: sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Let a = u + -8. Put -2, a, 5 in decreasing order.\nAnswer: 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3 + 6*j**3 + 0*j**3 - 2*j**3 - 2*j**3. Suppose 6*x - 2*x + 4 = 0. Let s(o) = -1. Give x*n(w) - 3*s(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 23*x**2 + 38*x - 48. What is the units digit of t(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*2*5)\/(1*sqrt(486)) - (-1*sqrt(304) - (sqrt(133) + -2*sqrt(133))\/sqrt(7)))**2.\nAnswer: 26011\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*y - 3*y + 28 = 0, 4*y = 20. Suppose f*v - 26*v = -96. Let k be (-3)\/(-108) - 8\/v. Put -0.1, 25, k in ascending order.\nAnswer: k, -0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1385717*u + 19. Let w be k(7). What is w rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i**3 + 28*i**3 - 4*i**3 - 4*i - 8*i**3 wrt i.\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1682174 and -1682203 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1 + 1 - 36*b**3.\nAnswer: -36*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-21)\/6*4. Suppose -3*r + 35 = -c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-88)\/(-20) + ((-16)\/10)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y + 13. Let r be d(0). Suppose 0 = -c, 5*z - 5*c - 23 = 2. Suppose 0 = -z*n - r + 48. Solve -m + 4*x + 14 = 0, n = 2*m - x - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-2\/5))**(-12)*g\/(g*g**(-2\/7))*g**(2\/15)*g assuming g is positive.\nAnswer: g**(-575\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6 less than -83763?\nAnswer: -83788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1659 - 1664. What is the nearest to 1 in 18, -24, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34290 (base 11) in base 7?\nAnswer: -264400","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46371*o**2 + 4208*o - 2.\nAnswer: 92742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1630621 (base 7) to base 8\nAnswer: -671323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*-2*21\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 4:58 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/5, -1\/10, 1\/3, -16?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -3. Let k = r - -2. Let a(x) = -3*x**3 + x**2 + x. Let c be a(k). Sort 2, c, -5 in decreasing order.\nAnswer: c, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/19)*x\/(x\/x**(-2\/61))*(x\/((x*x\/(x*x*x\/x**5))\/x))\/x*x\/(x\/(x*x**(-19)*x))*x assuming x is positive.\nAnswer: x**(-22181\/1159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*q - 8*q, 5*q + 70 = -5*o. Let t = 9 + o. Solve 4*l - 3*m + 25 = t, -2*l + 2*m + 2*m - 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**8\/2240 + v**7\/315 + v**6\/240 - v**5\/60 - v**4\/8 - 2*v**2. Let a(h) be the second derivative of p(h). Factor a(n).\nAnswer: (n + 1)*(n + 2)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2 = 5*u + 23, 4*a - 5*u = 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:38 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 97. Suppose 0 = -3*m - 2*a + 284, 2*a + g*a = -m + 100. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1220102230?\nAnswer: 1220102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 373 = -5*t - 5*r, 0 = 5*t + 2*r - 377. Let k = 21 + t. Suppose 40 = 2*p - k. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipiiibbcbnbixiipbibb. Give prob of picking 1 n and 1 p.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 3*a**4 - 65*a**3 + a**4 + 2*a + 0*a**4 - 2*a**4 to l*a**2 + n + f*a**4 + p*a**3 + j*a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106*c*f**2 - 506*c*f*r + 4*f**3*r - 874*f**3 wrt r.\nAnswer: -506*c*f + 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1 - 3) + -3. Suppose -v = -6*v - 20. Sort v, r, -3 in descending order.\nAnswer: r, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 39*p + 198. Calculate h(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 18*v = 3324. Let j = -1388\/5 - v. What is the nearest to -2\/3 in j, 0.3, -42, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 26, -11324 in decreasing order.\nAnswer: 26, -5, -11324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8181082 and 65254?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 42478.\nAnswer: -46725.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 11*r - 110*r)*(-4 + 6 + 12)*((-r + r + 2*r)*(3 - 1 + 0)*(0 + 1 + 1) - 4 + 4 + r).\nAnswer: -12222*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 1704?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o**3 - 2*o**2 - 11*o + 62. Let n(x) = 7*x**3 + x**2 + 6*x - 31. Let w(y) = 11*n(y) + 6*r(y). List the prime factors of w(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 2*h + 36 - 24, 15 = 50*q - 51*q + 4*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/2 - 16717*o\/2 - 4391241 = 0. What is o?\nAnswer: -16174, -543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-28)\/8. What is the derivative of 0*f**2 - 4*f**2 + i*f**2 - 3*f**3 - 4 wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 84 + 0 = -a, -2*q + 270 = 4*a. Let d = a - 79. Let l be -4 + 3\/d*-12. Is -22 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*l + 122 = 0, 5*u + l - 187 = -27. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 172. Suppose -3*f = -o + 24, -f = -o - o + 23. Let s = o - 13. Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -1\/6*c**4 + 6*c + 0 + 0*c**3 + 1\/5*c**5 + 1\/2*c**2. What is a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 0.7. Let r = 5 + q. What is the nearest to 1\/3 in r, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2077\/5 or -2\/193?\nAnswer: 2077\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5336)\/(-22330) + (2 - 48\/22).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.61 - -1.61. Let z = -2.92 - 0.08. Let c = -130\/3 - -43. What is the nearest to x in c, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53722.\nAnswer: 2, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.9732nm in meters?\nAnswer: 0.0000004849732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 3*t**2 + 2*t - 7. Let u be g(-2). Which is smaller: u or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 0. Find the third derivative of -m**6 - 4*m**6 - 7*m**g + 10*m**6 wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 497\/(-56) - (1 - -1) and 13\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-44)\/((-27720)\/(-15)))\/(14\/12))\/((-5)\/(-10)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dilldlddiiddd. Give prob of sequence dil.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/5)*b)\/b**(3\/2))\/(b**(1\/4)\/(b**(5\/7)\/b)))\/((b**(1\/9)*b**(1\/2))\/(b**4*b**0)) assuming b is positive.\nAnswer: b**(4729\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of (-67212)\/8*104\/(-234)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 16. Let b = 10 + o. Let c = 376 - 5638\/15. Is b < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*c + 70. Solve -2*f = 3*f + c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 28*m - 700. Determine r(26).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 + h - 5 - 2*h + 4. Let t(c) = c**2 + 58 + 21*c + 15*c + 51 - 42. Let x be t(-34). Calculate f(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6684 or -6682?\nAnswer: -6684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69100078?\nAnswer: 2, 34550039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.9. Let r = -0.15 + 0.09. Let p = 0.26 + r. Put p, o, -3 in descending order.\nAnswer: p, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljpljjlsljtsjplplll. Give prob of picking 1 t, 2 j, and 1 s.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (10 - (5 + -9 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -415, -3219, -10825, -25633, -50043, -86455, -137269, -204885?\n\"Answer: -400*k**3 - k**2 - k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) -58 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)\/n*n)\/(n**3\/n)*n\/(n*n**(-4)*n)*n*n**(2\/11) assuming n is positive.\nAnswer: n**(194\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 7. Let d be a(4). Let i be 4\/14 - 1*d\/21. Suppose 8*c - 7 = i. Calculate the smallest common multiple of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyty when four letters picked without replacement from {t: 6, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqlqftlfqfllsftlsl. Give prob of picking 1 l and 1 t.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*n - 10. Let h be (0\/1)\/(n - 11). Solve 4*v - 16 = 5*p + 7, -2*v + 4 = h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.462 + 332489.\nAnswer: 332490.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(143)\/((1*sqrt(88))\/sqrt(8)) + 3)**2.\nAnswer: 14*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 173653 and 0.1.\nAnswer: 17365.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3791966 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 14 = -2*u + 3, 6*u + 4*s - 90 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/9 - 2\/6. Suppose -4*c - d*y + 142 = -5*y, 2*c + 5*y - 60 = 0. Let t = 51 - c. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*o - 40 = 0, -11688*t + 11684*t = -5*o + 61 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 475. Let t(f) = 95. Determine -l(r) - 8*t(r).\nAnswer: -3*r - 1235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22614979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaakaaaakakaaakaaaaa. Give prob of picking 1 a and 2 k.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 18. Let u(t) = -5*t + 12. Let a(f) = -7*u(f) + 5*z(f). Does 23 divide a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1*(-6 - 0). Suppose a*d = d. Suppose 0 = -10*f + 6*f. Is f greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 369100 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -1\/4, 0.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + (-1 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2, -354, 6465?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:59 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**2 + 13*c - 13. Let n(u) = 2*u**2 + 16 + 3*u**2 - 7*u - 9. Let h(w) = -7*n(w) - 4*s(w). Calculate h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 - 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*114\/72 - -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -86. Calculate the remainder when 66 is divided by ((-17)\/n)\/(1\/(-2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from dddddmmmdaddmdmmmdm.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-8) - (121\/88 + -9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 4, -2\/5, 112, 1 in increasing order.\nAnswer: -2\/5, -1\/9, 1, 4, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**(-11)\/(g**(2\/11)*g**(1\/3)))\/(((g\/(g\/(g*g*(((g*g\/(g\/g**(-1\/4)*g))\/g*g)\/g)\/g)))\/g)\/(g**1\/g)*g**(-5)*g**1) assuming g is positive.\nAnswer: g**(-101\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, -131, -2315, -6549, -13511?\nAnswer: -23879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4591*i - 151558. Determine a(33).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x**2)*(10 + 42 + 1) + (2 - 3*x - 2)*(2*x - 1 + 1).\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 111?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2912 = -2*d, 4*k - 10*d - 2344 = -8*d. What are the prime factors of k?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**2. Let k(q) = -197*q - 2. Determine i(k(z)).\nAnswer: -349281*z**2 - 7092*z - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qcqqz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -945.96057 - -945.810570058. Let w = p + 0.15. Round w to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:20 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 + 5. Let r = j - -0.1. Let t = 1 + -2. What is the third smallest value in r, t, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 143\/5 - ((-16)\/(-20))\/(-2). Suppose y*i + 3*s + 472 = 30*i, 12 = -3*s. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - (5 + 7 - 9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/30 and ((-26)\/(-65))\/(48\/70).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-32)\/(704\/(-594))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - j = 1 + 6, y = -2*j. Suppose 4*w + 15 = 7*w. Does 9 divide w - -47 - -2*(-2)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 4*u - 0*u + 28, -20*u = -23*u + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -162. Let j = -64 + 18. Let z = j - t. Put -8, 1, z in increasing order.\nAnswer: -8, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqhhbqbhqhhhboboh. What is prob of sequence hhqb?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**5\/20 + 5*l**4\/12 + l**3\/6 + 3*l. Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8531 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 153 (b) 1\/4 (c) -7017 (d) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75399261 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 plus -301021333?\nAnswer: -301021833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 19. Suppose n - 6*n - h = -60, 2*h - 10 = 0. What is the remainder when k is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060226231.\nAnswer: 37, 73, 392531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (17 - (97 - 50))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6 + 4. Solve 3*b - 3*b + 2*b**3 - k*b**2 + 0*b = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 92484+-1\nAnswer: 92483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 3*n**3 + 70 - 70 + n**4 in the form m*n**2 + i + a*n**4 + c*n**3 + k*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 195, 192, 189, 186, 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384787190?\nAnswer: 2, 3, 5, 17, 2715269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 87. Let q be (-5 - 78\/w) + 276\/20. Let f(z) = -z + 4. Determine f(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.1256nm in kilometers?\nAnswer: 0.0000000000951256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (4 - 7))*(-4)\/10. Solve -1 = c - r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37519.09 centimeters in micrometers?\nAnswer: 375190900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-183042)\/(-8) - (12\/114 + (-65)\/76)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 5. Suppose -56*m + 43*m - 1456 = 0. Let f = -109 - m. What is c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 + 156*w - 52)*(w - 5 + 5 + (2 - 2 - 2)*(-w - 2*w + w) - 3*w + 3 - 3) to s*w + a + v*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*a - 4593 - 33419 = 0 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216.1205*0.2.\nAnswer: -43.2241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 4*y + y + 6*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 + 432*a + 10988 = 0.\nAnswer: -67, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -90.7. What is the second smallest value in -0.4, h, -4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16185 and 4.\nAnswer: 16189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3640)\/120 - (-80)\/60.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 28118.68 (c) 5 (d) 3\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*29479.77\nAnswer: 147398.85","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5844? (a) -2\/41 (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 378 + -397.3. What is z rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300 + 1?\nAnswer: -10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/15)\/(4*(-3)\/540). Solve 2*d + a = -2*k + 8, -16 = 4*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from rmdkkrhh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and ((-1 - -2)*-1)\/(5\/(-300)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 22.8. Let w = -20 + 32. Let l be (-1 + w\/10)\/1. What is the closest to o in l, 5, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1603 times -43?\nAnswer: 68929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 7. Suppose 4*a = 5*z + 22, -5*a + 4*z - z = -21. Let u be (-2)\/((-2)\/(-1))*6. Let g = u + a. Calculate b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44240, 43102, 41964, 40826?\n\"Answer: -1138*x + 45378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1729 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-25)\/(775\/341))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156761778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108349\/4 or -27088?\nAnswer: -108349\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16565209, -16565203, -16565197, -16565191?\nAnswer: -16565185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. Let p be (1\/g)\/(1\/3). Suppose -2*z + z = -p*r + 115, 0 = 3*r - 4*z - 109. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/60039 and -39\/5.\nAnswer: 300195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*t - 30, 9*t + 2*o - 6 = 10*t. Suppose 5*u - 276 = -2*d, t*d = 3*d + 3. Calculate the greatest common factor of 135 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7062508127.\nAnswer: 29, 151, 383, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i - 38. Let c be r(8). Let d be (-1 + 1)\/(0 + 2). Suppose -4*k + s - 5 - 12 = d, 0 = -3*s + 3. Put k, 1, c in ascending order.\nAnswer: k, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -32, -29?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**3 - 46*p**3 + p - p.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p. Suppose -2*h + 5 - 19 = -2*f, 42 = 3*f + 4*h. Let g(t) = -17*t**2 + 3*t**2 + f*t**2. Give b(g(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*m + 15 = 0, 0 = m - 2*m. Suppose -51 = -2*f - 39. Suppose -5*i + f + 9 = -5*c, -4*i - a*c = -21. Solve -i = -3*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/154*(12\/(-3))\/(-20)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/1423 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, o: 4, r: 3}. What is prob of picking 1 r and 2 c?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231.3 + 1.3. Let z = 158.2 + n. Round z to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 472.2711 - -155.0599. Let l = b - 627. What is l rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 4*h - 6. Suppose -1778*f - 16 = -1776*f + 2*z, -5*z = -2*f + 19. Give g(f).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*j**3 - 4*j**3 + 54*j**3 + 102*j**3 - j**2.\nAnswer: 224*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)*x)\/x)**(-45)*(x\/(x**8\/x))\/x*x**(-2\/17) assuming x is positive.\nAnswer: x**(-376\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2660160 divided by 110840\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 - 36*j + 36*j - 53*j**3 - 147 + 148.\nAnswer: -39*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -49435?\nAnswer: 49432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34 + -5d759d?\nAnswer: -5d7569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973, 3520, 7767, 13714, 21361, 30708, 41755?\nAnswer: 54502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1712 + 2044. What is the remainder when 1271 is divided by n?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 239 = 1346. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = 3*r, 60 = 3*o + 3*r. What is the remainder when o is divided by (-58)\/(-8) - 5\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 141 - 146 - (-1)\/((-2)\/(-4)) - -2. Put 1, -11, 10, q in decreasing order.\nAnswer: 10, 1, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 38 - h**3 + 0*h**3 to i + w*h**2 + z*h + v*h**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20740260 divided by 4\nAnswer: -5185065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**3\/6 + 5*b**2 + 6*b. Let u be d(-5). Solve -1 + u = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose -2*z - f - 291 = q, -2*f + 135 = -z + f. Let s = -101 - z. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/1442183651 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*l = 22269 + 7071 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 k when four letters picked without replacement from knkykyyy?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3191.536 - 1.33.\nAnswer: 3190.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + (0 - 4) + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-4 + 4 - c)*(4*c**3 + 3*c**3 - 3*c**3 + (-301 + 64 - 339)*(-2*c + 2*c - 2*c**3)).\nAnswer: -2312*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3170 or 78377\/5?\nAnswer: 78377\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1298870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/32724 and 11\/21816?\nAnswer: 65448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67\/104 + 10\/13. Sort 5, 0, -0.5, q.\nAnswer: -0.5, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79464)\/(-528)*(-72)\/126?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 45110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21614 plus 0.7992026168?\nAnswer: 21614.7992026168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 519797 and 6.\nAnswer: 3118782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4916, -4919, -4922, -4925?\n\"Answer: -3*z - 4913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:32 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171)*3 - sqrt(171) - sqrt(171)) + sqrt(171))\/(sqrt(9) + -1*sqrt(324)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 + 2234*q**2 + 3318*q + 23526. Calculate v(560).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 28356866\nAnswer: 29\/28356866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 32 = -4*g, 2*g + 126*b - 1 = 127*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2 and (-332)\/(-996) - 308\/1194.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256192?\nAnswer: 2, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 + 17 = 4*r, r + d - 6 = 0. Suppose r - 3 = 5*c. Let z be (-5)\/45*1\/c. Is z less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 21*b - 15. Let t be f(16). What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -25*r**5\/8 - 765*r**4\/2 - 1221*r**3\/8 - 61*r**2\/4 = 0.\nAnswer: -122, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1520 from 10359.932804.\nAnswer: 11879.932804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = 690 - 630 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.11 (b) 3\/2 (c) -4 (d) -2\/13 (e) -5 (f) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 10:01 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27368 is divided by 829.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, -0.5, -2, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + l, -y - 2*l = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - j**2 + 12 - j - j - 4*j. List the prime factors of w(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10513 - -12301051?\nAnswer: 12312004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprvo. What is prob of picking 1 r and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*1*(-144)\/192.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/(80\/(-15))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/3 (b) 1\/25 (c) -3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/20 - 5*s**4\/24 + 23*s**2. What is the tens digit of v(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/60*3 + 7\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:24 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-164)\/(-27) + 2)*(-42)\/(-224) and -71\/468?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1358842\/11297 - -11\/1027. Let x = k - -121. Find the common denominator of x and -91\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0*z**3 + z**2 + 0*z + 0 - 1\/24*z**4. Let k(m) = 2*m. Calculate k(p(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -55461483+24\nAnswer: -55461459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q + 1)*(3*q - 3*q - q) + 11*q**2 - 26*q**2 - 683 + 673 - 3*q + 3*q - q**2.\nAnswer: -17*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q**(1\/3)\/q*q*q))\/q))\/q**(5\/2)*((q\/(q\/q**9)*q)\/q)\/q*q**(-2\/7) assuming q is positive.\nAnswer: q**(317\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-10) + (-312)\/(-60). Solve d = -4*o + 4*f - 4, -3*o + 4*f - 9 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -241*l - 4. Let x be i(-3). Let u = x + -397. List the prime factors of u.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5711 is divided by 96?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14144, 14137, 14126, 14111, 14092, 14069?\n\"Answer: -2*b**2 - b + 14147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 50. Suppose d*o - 31 = -21. Suppose 2*w = -5*k + 31, -4 = 4*w + 4. Solve 2*n - 19 = -5*f, 3*f - k = -2*n + o*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 284\/(-12)*1*(-3)\/2*2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 18. Which is the nearest to -1? (a) 5 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -31*l - 8*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 2. Let z = 61 - 59. Let d(p) = -p**2 + 3*p - 3. Determine z*d(r) - 3*x(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92818769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*p - 8, 2*u = 5*u. Let i(x) be the second derivative of x**5\/20 + x**4\/6 + x**3\/6 + x**2\/2 + 2*x. What are the prime factors of i(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = 3*r - 3*d, 3*r - 123 = 2*r - d. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 529.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhlllsllhlsf. Give prob of sequence hrf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -896\/3 + 298. What is the nearest to 0 in 0, 2, -9, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b6472 - -7?\nAnswer: -b6468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - m + 30. Let r be v(-4). Suppose 4*g + 2*z - 24 = 0, g = -2*z - 2*z - 1. Calculate the greatest common divisor of r and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, -1\/210, 3?\nAnswer: -1\/210","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 22 = 12*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/120 + h**5\/12 - h**4\/6 + h**3\/3 - 2*h**2. Let i be x(4). Solve -i*l = -7 - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -696, -9, -23, -3 in decreasing order.\nAnswer: -3, -9, -23, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*-2*sqrt(108)*-5)**2 + 4).\nAnswer: 97204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 - 228*g**2 + 3132*g + 3364 = 0. What is g?\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167337405 to the nearest integer?\nAnswer: 12936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*2 + 37. Suppose 0*f + 24 = 24*f. Does 10 divide (p - 4 - 4)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amalaamaaaalaa. What is prob of picking 1 a, 2 m, and 1 l?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 480*v - 51838. Determine c(109).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153) + -3*((sqrt(153) - sqrt(153)*-1) + sqrt(153) + sqrt(153)) + -3*sqrt(153)*-5)\/((5*sqrt(54))\/sqrt(6) - -6*sqrt(324)))**2.\nAnswer: 425\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**7*b**(-8)*b**(-1\/11) assuming b is positive.\nAnswer: b**(-166\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**2 - 5*n - 65. Let i(y) = y**2 - y - 13. Let d(u) = -a(u) + 5*i(u). Let r(j) = -1426*j. Determine d(r(q)).\nAnswer: -2033476*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1. Let d be z(-11). Suppose -d = -2*m + 6*m. What are the prime factors of -1 + (-135)\/m + -4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 9*f + 2. Let c be z(8). Let k(b) = b**2 + 2*b - 6. Calculate the remainder when k(c) is divided by ((-20)\/(-6))\/((-1)\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - 5*-1*sqrt(152))\/(sqrt(8) + 1*sqrt(40)\/sqrt(5)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {o: 1, d: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071815160.\nAnswer: 2, 5, 17, 23, 132469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(171) + -4 - sqrt(475)*2)**2*-6.\nAnswer: 672*sqrt(19) + 11364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(3\/4)))\/o)\/(o**(3\/2)\/o)*(o*o**(-3\/7)*o)**(-44))**(-2\/5) assuming o is positive.\nAnswer: o**(1957\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -150967016121689.\nAnswer: -150967016121689.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 - 4. Let u = 23 - -1.5. Let p = -25 + u. Which is the closest to -1? (a) 5 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -5\/3*o**3 - 1\/4*o**4 + 0*o**2 + 0*o + 6. Find the third derivative of f(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:27 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/235 - 1637\/940. Which is the smallest value? (a) 0 (b) 2\/21 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-2)\/1)\/(-2). Let m = -5 + 14. What is the remainder when m is divided by (j + 13)*1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - p - 26 = -3*p, -16*t - 3*p + 7*p = -13*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -44*f + 445. Let q be r(10). Solve 6*j = 11*j - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0*i**4 + 0 + 0*i**5 + 0*i**6 + 0*i**2 - 4*i + 37\/42*i**7 + 7\/6*i**3. What is the second derivative of q(a) wrt a?\nAnswer: 740*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6 + 12*s + 110*s**2 - 30 - s**3 + 8.\nAnswer: -s**3 + 110*s**2 + 12*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*j - 12, 0 = -434*r + 436*r - 5*j - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u + u. Suppose 0 = -12*z + 15*z + 12, 2*r + 3*z = 116. Suppose 33*f = f + r. Solve u*a = 3*s - f*s + 11, 3*a = -5*s + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -1\/86 (c) -6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 0.2646.\nAnswer: 0.18522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17434*w**2 - 210*w - 17434*w**2 + 2*w**3 + 1 + (w - w - w)*(0*w**2 - 3*w**2 + w**2).\nAnswer: 4*w**3 - 210*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197778 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 232*v - 231*v - 24, -5*f + 5*v = -80. Solve 4*r + 27 = -5*g, 5*r + 2*g - 3 = f*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooooooooooyoyyoy.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -214048?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + -2 - -2*2. Solve -5*i = r - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1164 + d2b?\nAnswer: 1e90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.0523\nAnswer: 0.01046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3181 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 15, 48, 105, 192?\n\"Answer: u**3 + 3*u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779478 a multiple of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -11*a - 7 + 115\/2*a**2. Differentiate l(r) with respect to r.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 456 + -557. Which is the third smallest value? (a) -0.3 (b) x (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = 2*t - 54, -4*k - 3*t = -46. Let u = k - 0. Suppose 9*b + 5 = s + 4*b, -17 = -s - b. Calculate the greatest common divisor of u and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-3)\/(-12)*(-2 + -10). Let z = 68 + -48. Let j be (-2)\/3 - z\/(-30). Solve -2*x - p = w, j = -2*w - x + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + r**4 - 30*r**3 + 30*r**3 - 2*r**2 to y*r**4 + d*r**3 + o*r + g + s*r**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 113 = f - 36*p, -3*f + 3*p + 414 = 0. What is the remainder when 1329 is divided by f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) - (-203)\/(-21). Let c(j) = -2*j + 1. Does 11 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:52 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16095 and 68385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqeqeqqbqqee. What is prob of picking 2 q?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29 and -3426749?\nAnswer: 3426720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1377, -1371, -1361, -1347, -1329, -1307, -1281?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Suppose b*a = a - 10. Solve a + 0 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327999853 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let s(o) be the second derivative of 55*o**3\/6 - o**2\/2 - o. Is s(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 1111840990*m - 61809519352209005.\nAnswer: -5*(m - 111184099)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3\/18 - q**2\/12 - 11. Solve a(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 - 1058*s**3 + 49994*s**2 + 1166930*s + 4453800 = 0. What is s?\nAnswer: -571, -13, -5, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*v = 282, -2*r = 3*v - 42 + 225. Let n = 168 + r. Calculate the greatest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}