diff --git "a/data/dm_maths/full_data/10501_11255.jsonl" "b/data/dm_maths/full_data/10501_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10501_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((g\/(g*g*g**(-24)))\/g**(1\/38))**(2\/75) assuming g is positive.\nAnswer: g**(291\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2411, -2402, -2393, -2384, -2375?\n\"Answer: 9*l - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925 is divided by 422?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, w: 1, p: 3, x: 1}. Give prob of sequence rpxp.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1802, 2196, 2590?\n\"Answer: 394*y + 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -965, -976, -977, -968, -949, -920, -881?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 13*g - 138 = 0. Let z(d) = -1. Let m(b) = -b**3 + 14*b**2 - 14*b + 18. Let w be m(13). Let h(a) = 5 + 2 - w - a. Calculate g*z(s) + h(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 130\/(-871)*-2*1. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1472638, -2945275, -4417912, -5890549, -7363186?\n\"Answer: -1472637*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -293632 divided by 8?\nAnswer: -36704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 1 + 3 - 2*g - 2 to d + b*g and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5 - 13. Solve -2*p + n = l, -17 = -4*p - 5*n - 57 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1571, 6272, 14107, 25076, 39179, 56416?\nAnswer: 76787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*c = -677 - 346, 0 = -3*j - 3*c + 1023. Let l = 28 - -3. Calculate the highest common divisor of l and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2 - 2)*(3*u + 6*u - 3*u) + (-2*u - 4*u + 5*u)*(-4*u + 15*u + 10*u).\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)*n\/(n*n**(8\/7)*n*n))\/(n**(-1\/4)*n\/(n**(4\/11)\/n)) assuming n is positive.\nAnswer: n**(-4031\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39925594?\nAnswer: 2, 19962797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-234)\/27)\/((-2)\/(-6)). Let r = -306 + 344. Let z = r + w. Solve -z + 6 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/5, 184\/3, -1, 0.1 in descending order.\nAnswer: 184\/3, 3\/5, 0.1, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 123e1a1 - -1a?\nAnswer: 123e1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let p be w(0). Suppose p = -2*k - k + 51. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2399 - 515. Suppose 2*d - 5*d = -y. Suppose -d = 2*m - 6*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -w - 0*w. Suppose -m - w = -3*m. Let y = m - 0. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 2*y - 1. Let v be 2\/1*1\/(-2). Let u be f(v). Is u bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 4:13 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0. Let f = -8 - -7.7. Let a = f - q. What is the biggest value in a, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrcx. What is prob of sequence rx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 33 (b) 0.4 (c) -1\/10 (d) -58 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 4*r - 3. Let b(x) = x + 1. Let j(z) = 2*b(z) + c(z). Give j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*i = -0*k - 55, -i = 5*k - 73. Suppose u + 5*j + k = 3*j, 0 = -j - 4. Calculate the remainder when 13 is divided by -1*8\/u*(-11 + 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(154\/105))\/((-20)\/(-120))*1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 646031660?\nAnswer: -646031665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54290 = -450*f - 576*f + 136*f for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x**6 + 0 + 1\/15*x**5 - 1\/105*x**7 + 2*x**2 + 0*x + 0*x**3 + 0*x**4. What is the third derivative of d(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, -2300, -1.\nAnswer: -2300, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + h - 4. Calculate r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5*x**5 + 2*x**2 - 5 + (x - 5*x + 0*x)*(-3*x**4 + 11 - 11).\nAnswer: 7*x**5 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 97*r**2 + 1 + 95*r**2 - 194*r**2. Let u(l) be the first derivative of l - 8*l**2 + 7*l**2 - 23 - l. What is o(u(g))?\nAnswer: -8*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3251, 3248, 3245, 3242, 3239?\n\"Answer: -3*u + 3254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1049?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Is 2 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 3*q**2 - 2*q**2 + 6*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-3 - sqrt(11))*-3.\nAnswer: 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(91) - (1*sqrt(91) - sqrt(91))) - (-4*(1*sqrt(91) + sqrt(91) + sqrt(91)) - sqrt(91)))\/((-2*sqrt(112) + sqrt(112) - sqrt(112))*-6).\nAnswer: 5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1) - (-224 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100303 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.292662 millimeters?\nAnswer: 0.000003292662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1768913 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5086 + 5090. Solve -5*n + 35 = 5*j, -i*j + 40*n + 8 = 39*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127645 and 59915?\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-20577.\nAnswer: 1028.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10525127\/9 + -1171411. Let d be 22\/(0 + 2\/177). Let h = d + y. What is the common denominator of h and -48\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.77750861 less than 0.1?\nAnswer: -5.67750861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 571 - 282 - 5*r**3 + 3*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-30)\/36*6)\/3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 - -8) + 18\/1. Solve -h + 4*h = n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703 + 527 = -98*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25698.4 minutes to nanoseconds.\nAnswer: 1541904000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-13\/4)\/f*((f\/(f\/(f*f**(-2\/27))))\/f)\/f*(f**(-5\/11))**(-5\/2) assuming f is positive.\nAnswer: f**(-4975\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 8 - 99 - 1.\nAnswer: n - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719*r + 21390 = 722*r. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*a = 974*a - 12390 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 + 8*r**4 + 6*r**3 - 20*r**2 - 16*r = 0. Calculate r.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1037303 (base 8) to base 14\nAnswer: -73563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvs when three letters picked without replacement from sqvqv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 + -0.2. Let v = 37.001 - 37. Let r = v - -0.399. Which is the third biggest value? (a) r (b) 2\/17 (c) h (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.594989 + 0.5249832. Let r = 0.07 + x. Round r to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-224)\/168 - 25\/(-3). Let k(y) = -2*y**3 + 13*y**2 + 9*y + 6. Calculate k(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 60. Let k be x(73). Is k at most -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 12. Let m be p(14). Suppose -2*n - 5*k + 58 = n, 4*n - 3*k = 58. Sort m, -3, n in ascending order.\nAnswer: -3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27*-0.18\nAnswer: 0.0486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-168)\/(-36))*7. Solve 0 = -d + 4*h + 13, z*h - 10 = 4*d - 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84101604 to the nearest integer?\nAnswer: 9171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(8\/3))**(-6\/7) assuming u is positive.\nAnswer: u**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69491740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204)*1 - -1*-2*sqrt(204))\/(sqrt(108)\/(5*(sqrt(9) + -3*sqrt(9)))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18814268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q + u - 112, 462*q + 44 = 467*q - 4*u for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1762\/9 + -196. Let i = -6 + 4. Which is the nearest to g? (a) i (b) 5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436562228 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*x**2\/13 + 1966*x\/13 - 2084\/13.\nAnswer: 2*(x - 1)*(59*x + 1042)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 10) + 1 + (-4 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*x - 257*x**2 - 111*x - 120*x.\nAnswer: -257*x**2 + 79*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 26\/5 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/7 + 112286*t**3\/7 + 1576186644*t**2\/7 + 675396280*t + 450242800 = 0. Calculate t.\nAnswer: -28070, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -30. Let p be ((-3)\/(-6))\/(s\/(-36)). Suppose i = -p*i + 24. Are 3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10*h + 170. Let v = 56 - h. Suppose n = -n + 24. Calculate the remainder when v is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -490.9217, 0.6, -2\/9.\nAnswer: -490.9217, -2\/9, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5202\/(-1995) - 0) + 3. Let o = -1\/133 - q. Which is the biggest value? (a) -0.3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 5*t + 2*t + (0 - 4 + 2)*(-t + t + t) - 2 - 2*t + 2 + 6*t - 2*t - 2*t + 3 - 3 + t - 6 - 12 + 3*t + 15.\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6283*b**2 + 6305*b**2 + 640*b - 640*b. Let c(l) = 9*l + 3. Let a(v) = -8*v - 2. Let z(t) = -6*a(t) - 4*c(t). Determine z(o(f)).\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 216950 divided by -21695\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 87*z + 7 + 46*z)*(8 + 3 + 2)*(2 + 2 - 5) in the form s + l*z and give l.\nAnswer: -1729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 18*b**2 + 37*b + 61. Let j be u(20). Is j at least 1\/368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000121000110 (base 3) in base 2?\nAnswer: 1001001000001101110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.29 * -2.\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 - c**2\/2 + 160*c - 83. Let i be a(12). Let w(d) = -d. Let t be w(-1). Solve 4*r + 4 = -i*v, -r = -0*r - v - t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -60*i + 31. Let m(j) = -105*j + 32. Give 3*b(q) - 2*m(q).\nAnswer: 30*q + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1155 divide 62807745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5037873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 * -0.1\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 469*-1\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 221 = -102 + 225. Calculate the least common multiple of ((-28)\/6)\/((-1)\/3) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-21)\/(35\/(-5)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-52)\/(-7) + 12\/(-28). Let t = 4\/735 - 41228\/12495. Let x = t - -436\/153. What is the closest to -1 in d, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/6 - 3*v**2 + 6472. Let o(j) be the second derivative of -5*j**3\/2 + j. Give o(m(l)).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8730390793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880815 less than or equal to 2880815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -581 divided by 7.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.124 + 0.024. What is the nearest to w in 3\/10, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 7*b - 2.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -86.8011.\nAnswer: -43.40055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 - 7*s - 4 + 2*s. Let q be n(-1). Let g be (-141)\/(-27) - (-4)\/(-18). Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 77.03?\nAnswer: 81.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 22*c - 17*c)*(-4 + 4 - c**2).\nAnswer: 35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6460887.\nAnswer: 3, 239, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 276 = 2*x, 4*x - 3*s + 667 - 97 = 0. Let u = 326 + x. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -3, 3, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-3 + 1) + -11 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = 4, 4*f = 2*r + 42. What is the remainder when 29 - ((-27)\/(-36) - 51\/(-12)) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 3*q + 11. Determine v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/3 + 2*r**2 + r + 41. Let x be q(0). Solve -h = x - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41441 - -27023. Let t = -22317\/272 - -1449\/17. Find the common denominator of 14\/10 + -1 - l\/10560 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6582\/211 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2*g)*(0 - 1 + 3) - 671*g - 195*g - 6 + 7 + (1 + 2 - 5)*(0*g - g - g) + 3 - 3 + 2*g to the form t + r*g and give r.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4816 is divided by 76.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000387278535 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 21*z - 76. Let p(c) = 3*c**2 + 63*c + 229. Let q(j) = 6*p(j) + 17*y(j). What is q(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 3513552?\nAnswer: 10540656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -8 - -1 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 0, -3, -0.2 in descending order.\nAnswer: 0, -2\/19, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-t + 2*t + 0*t) + t - 4*t + 0*t + (-8 + 17 + 73)*(1 - t - 1) as f + b*t and give b.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 3077?\nAnswer: 3076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28787627 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 39245 = 9085. Suppose 5*i - i = 2*o + y, -4 = o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 6 (b) -2 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/((x*x**(-2\/3)*x*x)\/x)*x*x)**(19\/5)*(x*x**(-4))**(2\/17) assuming x is positive.\nAnswer: x**(3463\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times 2.9783?\nAnswer: 4.76528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49192, -49206, -49224, -49246, -49272?\n\"Answer: -2*w**2 - 8*w - 49182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10888*g - 10124*g + 19528*g)*(-4*g - 3*g + 6*g)*(-6 + 4 + 3).\nAnswer: 1484*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let g(l) = -22 + 17 + 10 + l**3 - 5*l - 5*l**2. Let u be g(6). Let q(w) = -5 + 4 - u*w + 1. Calculate q(k(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-10)\/100)\/((-6)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f)\/((((f*f**0\/f)\/f*f*f)\/f)\/f)*f*f**5\/f*f*(f*f**(3\/4))\/f assuming f is positive.\nAnswer: f**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g*g\/(g**(-17)*g)*g*g))*g*g)\/g)\/g)\/g*g*g**(2\/29) assuming g is positive.\nAnswer: g**(611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 3*c - 1. Let u(j) = -5*j - 29. Let g be u(-7). What is the remainder when c is divided by 5\/((-15)\/g + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31938230 divided by -1306.\nAnswer: 24455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39560 = 3*b + 4*v + 39567, -b - 3*b - 3*v = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -2)\/((-30)\/60). Let r(h) = 160*h + 122. Let t(k) = -323*k - 244. Let p(d) = u*t(d) + 11*r(d). Differentiate p(i) with respect to i.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 34*c - 762. Let d(l) = -27*l + 613. Let m(z) = -11*d(z) - 9*h(z). Calculate m(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*7.332\nAnswer: 21.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -11. Let v(b) be the second derivative of -1\/6*b**3 + 0*b**2 - 2*b - 1\/6*b**4 + q. What is the second derivative of v(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177210 and 2310.\nAnswer: 1240470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -4*q**2 - 1\/6*q**3 + 5 + 3*q. Let p(u) be the first derivative of o(u). Calculate p(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-10)\/(-15))\/(3\/(-27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5697262\nAnswer: 5697262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3426)\/(-33)*-2 - -2. Let p = -206 - f. Let a = -907\/2 + 445. What is the common denominator of p and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4809?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 10:29 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -26*k**2. Let o be (-2640)\/(-260) + -10 - 4\/26. Let h(j) be the second derivative of 0*j**2 + 1\/6*j**3 - 2*j + o. Give h(p(a)).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 128 = 7*h. Calculate the highest common factor of 80 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.0196m to millimeters.\nAnswer: 524019.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103254819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**2 + 13*d - 9*d**2 - 13*d + 31*d**3 + 11*d**2 to u + y*d**2 + s*d + q*d**3 and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + c - 10 = -4*c, 5*k = -4*c - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 70359546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1011, -4684, -10803, -19362, -30355, -43776?\n\"Answer: r**3 - 1229*r**2 + 7*r + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401.699373 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4157592 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 6:39 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 39\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(3 - 4)*1. Calculate the common denominator of 1\/(-2) - 162\/(-16) and 1705\/(-150) - (-2)\/q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6594 + -4.6229. What is v rounded to 1 decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = -4*i + 3*o - 266 + 552, 5*o + 53 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57128560, 57128564, 57128570, 57128578, 57128588, 57128600, 57128614?\nAnswer: 57128630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.484 + -0.016. Sort 4, 3\/7, -0.3, g.\nAnswer: g, -0.3, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 25*z**2 - 15*z. Let k(c) = 8*c**3 - 102*c**2 - 59*c. Calculate -2*k(n) + 9*y(n).\nAnswer: 2*n**3 - 21*n**2 - 17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 1. Let o(a) = a. Let r be 6\/(-15) + (-84)\/15 - -5. What is r*g(l) + 6*o(l)?\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -192, -379, -710, -1197, -1852, -2687, -3714, -4945?\n\"Answer: -2*a**3 - 60*a**2 + 7*a - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/130 and 109\/182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -6. Let j(l) = 2 - 2*l - 3*l + 6*l + 2. Let z(g) = 6*g + 20. Let d(k) = 11*j(k) - 2*z(k). What is d(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2230300 + -131?\nAnswer: 2230103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 118. Let h = c + 27. Is 13 a factor of (39\/h)\/((-2)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74\/117 + 2026\/3861. Let x = 2\/27 - s. Which is the closest to -1? (a) x (b) -5\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let a(i) = 9*i + 6. Let h(w) = -w**2 + 7*w + 3. Let l be h(7). Let u(b) = l*a(b) + 6*k(b). Differentiate u(r) wrt r.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813286 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13*q. Let u = -75 + 52. Let w = 24 + u. Determine y(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.64 from 84267795.8.\nAnswer: 84267796.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 2184?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 103*c - 4503. Let z be u(47). Solve z = -40*w + 98 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -s - 3*o, -5*o = -2*s + 134 + 247. Let c = -11 + s. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 2. Let j = 18 - -16. Let m(u) = -19*u + 5 - 19*u + j*u. Suppose -30 - 5 = 7*h. Give h*k(z) + 2*m(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = j + 3*h + 2, h + 1 = 0. Suppose 3*v + 3*f = -j*f + 30, f + 56 = 5*v. Calculate the remainder when 14 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s + 4*g - 568, s + 3*g = 181. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/4)\/((-9 + 4)\/200). Suppose -4*n = -2*c - g, 0 = 4*n + 3*c + c - 420. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*j**4 + 4001*j**3 + 1419*j**2 + 1000.\nAnswer: -2136*j + 24006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 337. Is 59 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49644024338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - n + 4*r = 16, 2*r = 5*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/635 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 48. Let y be c + (-90)\/(-24) + (-6)\/8. Suppose -3*n - i + 19 = 0, 2*i + i - 2 = 2*n. Put n, y, -3 in decreasing order.\nAnswer: n, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -1376617\nAnswer: -78\/1376617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, -13, 5\/3, 0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851199?\nAnswer: 3, 167, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14256.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 - 211. Solve -4*t + 17 = -p, -4*t + p + 7 = q*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:25 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -0*f + f - 2*w, 0 = 4*f - 5*w - 37. Solve -6*t = f - 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/10 + 3\/(15\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*n - 324*n - 371*n - 4050 = -1147*n for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18644)\/(-26) - (-86)\/(-1118) is divided by 234.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzqzzzqqzzqzdzzzzddd.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from dnnrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*a = -33, -2*a - 4 = 4*s - 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f + 0*f**3 + 0*f**6 - 1\/84*f**8 + 2*f**2 - 1\/12*f**5 + 0*f**4 + 0*f**7 + 0. What is the third derivative of v(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(6\/7))\/(g\/((g\/((g\/(g\/((g*g**(1\/6)*g)\/g)))\/g))\/g*g)))**2 assuming g is positive.\nAnswer: g**(71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -w + 5*x, -13*w = -11*w + 4*x - 22. Factor 2\/7*s**w + 4\/7*s**2 - 2\/7*s - 4\/7.\nAnswer: 2*(s - 1)*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - m)*(-53277 + 1423*m + 53277) + 1 + 2*m**2 - 1.\nAnswer: 2848*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 8:47 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1902 and -33\/357893.\nAnswer: 2147358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 8, 151110 in decreasing order.\nAnswer: 151110, 8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 10*m - 12*m + 8*m**3 + 14.\nAnswer: 8*m**3 + 8*m + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 11*t + 30. What is the lowest common multiple of 6 and f(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 24. Let w(i) = -i**2 - 8*i - 4. Calculate the smallest common multiple of w(x) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6) - sqrt(6))\/sqrt(3) - (3*(sqrt(2) + (sqrt(18) - sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(2)))**2.\nAnswer: -288 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + 38\/60. Put -3, p, 0.5 in increasing order.\nAnswer: -3, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 223\/4 + 258\/1032. Solve l - 53 = -p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520380 and 5978?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((14*p + 6 - 6)*(1 - 5 + 3) - 19*p + 3*p - 13*p)*(-4 + 3*p + p - p).\nAnswer: -129*p**2 + 172*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/49227 and -35\/122?\nAnswer: 98454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-6)\/90*30))\/(19\/(-10))?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + j - 9*j)*(-7*j**2 + 9*j**2 + 6*j**2) + 3*j**3 + 3*j**3 - 4*j**3 as d*j + a*j**2 + y*j**3 + t and give y.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 65?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -0.3 (b) -1\/35 (c) 18 (d) 0.3 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**3 - 4*f**2 + 2*f + 1. Let x = 242 + -244. Let p(m) = 9*m**3 + 9*m**2 - 5*m - 3. What is x*p(i) - 5*c(i)?\nAnswer: 2*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h + 303 = 5*v, -4*v = 4*h - 228. Suppose -58*p = -v*p + 4. Solve 5*z - f = p*f + 5, z + 9 = -f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 9. Suppose -2 = -2*r + s. Factor -4*q**2 - 8*q**2 + 3*q**3 + 3 - r*q**2 + 24*q - 15.\nAnswer: 3*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = -2*z - 1611704 + 1610969 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -1 - 8. Find the common denominator of (-2)\/(-48)*13\/((-130)\/(-735)) and (153\/(-12))\/(3\/x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 - 4*o**2 + 2. Suppose 0 = 4*d + 16, 3*h = 7*h + 4*d + 32. Let v(l) = 3*l**3 + 3*l**2 - 2. Calculate h*v(q) - 3*n(q).\nAnswer: -3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09434 to three decimal places.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {p: 2, f: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((218\/(-2616))\/(6\/9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 1 + 1 + -18. Let t be (-15)\/(-4) + (-5)\/j. Suppose 24 = 5*b - t*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*i - 3 = -5, -11 = -2*k + i. Let q = k - 2. Suppose 0*t + 9 = q*t. 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 the value of -2 - (5 + -3) - (1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (5 - 2*3\/2). Suppose -5*k - 4*r = -1 - 34, 5*k - 5*r + 10 = 0. Suppose -k*h = -0 - 3. Are u and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -3, 5, 9, 16116.7 in decreasing order.\nAnswer: 16116.7, 9, 5, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.2. Let a = 493.7 - 488.7. Sort 1, a, j.\nAnswer: j, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*3440\/(-86)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 768437 or -9\/34?\nAnswer: 768437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.21 - 5.4. Let j = -0.21 + v. Which is the fourth smallest value? (a) j (b) 4 (c) -1 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*p + 21 = 2*s, 0 = -3*s - 2*p + 5. Solve 5*i + s = 28, 4*h + 5*i - 21 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23205 and 2835?\nAnswer: 626535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 11:32 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.2 + -7. Let y = q + -4.2. Suppose 0 = k - v + 3, -2*k = -3*v + 8*v + 6. Which is the nearest to 0? (a) k (b) 6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 403 = -5*m, -227 = 3*f - 4*m + 177. Let p = f + 678\/5. Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p + 30*p = t + 89*p + 5, 5*t + 2*p = -10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*o - 12, -3*o = 3*i + 77 - 53 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q + 49 - 17 - 7. Determine x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33\/17? (a) -0.038 (b) -2.31 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tko when three letters picked without replacement from ktoinit.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 + 1)*(-l + 2*l + l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166888151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 - -167. Put j, 2\/11, -1, 3 in decreasing order.\nAnswer: 3, 2\/11, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 766006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21518, -42917, -64214, -85355, -106286?\n\"Answer: 9*a**3 - 3*a**2 - 21453*a - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2 (c) -0.571 (d) -524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h - 63*h**5 + h + 2582*h**5 - 4 wrt h.\nAnswer: 50380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) + sqrt(225) + -5*(5*sqrt(225) - sqrt(225)))\/(sqrt(21)\/(2*sqrt(343))).\nAnswer: -1260*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one quarters of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 11383656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/(-4) + 14 + (-1354)\/(-600) and 47\/33.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + 1 + (sqrt(3200) - (-2 + sqrt(3200))) + sqrt(3200))**2 + (-3 + sqrt(288))**2 + 2*sqrt(2)*1.\nAnswer: 410*sqrt(2) + 13106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.3. Let k be ((-8)\/15)\/((-4)\/(-10)). Put g, k, 2\/7 in ascending order.\nAnswer: k, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*t + 1. Let k be (-2)\/((-1)\/(t\/(-2))). What is the remainder when ((-574)\/(-7))\/(k - -1) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 10 - 1 - d**3 + 11*d + 5*d**3 + 10*d**2. What is s(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6300 - 1?\nAnswer: 6277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 + 0 + 0)*(0 + 3 + 0)*(2 + 2 + 4)*(-4*d**2 + 2*d**2 + 0*d**2) in the form g + j*d**4 + m*d**3 + n*d + w*d**2 and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 40\/(-25) - 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29132\/15 - -1942. What is the closest to -0.036 in 5, v, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9345, -37393, -84141, -149589, -233737, -336585, -458133?\nAnswer: -598381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/423177 and -103\/36798?\nAnswer: 846354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - 3*r)*(3 - r - 3) + 19*r**2 + 0 + 2 - 15*r**2.\nAnswer: 5*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -280 - -283. What is the biggest value in 2\/7, 10, i?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 525?\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1393 and 6169.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5248 - 5244. Which is the nearest to -0.3? (a) g (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**5\/4 + m**4\/6 + m**3\/6 - 65*m. Let f(i) = i + 5. Let w be f(-6). Determine l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00127961 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.0136.\nAnswer: -0.00408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 116805 and 0.251.\nAnswer: 116805.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189 + 228. Suppose -1 = -2*o + 5. Calculate the highest common divisor of t and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j + 1. Suppose 10*m - 12*m + 16 = -5*f, 0 = m - 4*f - 11. Let u(d) = 30*d**2 + 25*d + 25. Determine m*u(r) - 75*c(r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 - 6*k - 1. Calculate c(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 168, -58, 1, -21, 0.\nAnswer: -58, -21, 0, 1, 7, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(102)*-5 - (sqrt(102) - -5*(sqrt(102)*-3 + sqrt(102) + sqrt(102))))\/((sqrt(72) + 1*-2*sqrt(72))\/((-2*sqrt(84))\/sqrt(7))).\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(-24)\/160*44\/132?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 1. Suppose 0 = f*z - 28 + 3. Let k(s) = -s + 9. Let m be k(7). Solve m*u - z*u - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 22*o - 135.\nAnswer: (o - 27)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, -3*a + 3 = 5*i - 7. Let k(q) = 3*q**2 - 3*q + 6. Let o be k(i). What is the greatest common divisor of 42 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-6) - 3\/6) + -5. Let j(d) = -2*d**2 - 14*d + 19. Let u be j(r). Suppose -u*z + 18 + 21 = 0. Solve 1 = 3*m + z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15\/42)\/((-5)\/(-110)) and 85\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 2*l**4 + 4*l**2 + (0*l**2 + 0*l**2 - l**3)*(-5*l - 2*l - 19*l) to the form a + d*l**4 + r*l + x*l**2 + u*l**3 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 9*g - 6. Let c be w(8). Solve c*y - 3 = 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890*k + 4*m - 9 = -885*k, 15 = k + 2*m. Solve -8 = 2*v, k*s - 14 = 3*v + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*(-9)\/99)\/((-2)\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 1\/7 (c) 1\/21 (d) 5 (e) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(12) + 2*sqrt(48)))\/(1*sqrt(125)*-4 + sqrt(125)).\nAnswer: -sqrt(7)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3*a - 3*a + (0 + 2 + 0)*(-3*a + 2*a - a) + 1 + a - 1)*(-14*a + 10*a - 5*a).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7922*x + 23222. Calculate i(-3).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 14*s**2 + 19*s - 20. Determine z(-11).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -10 (b) -2\/17 (c) -0.4 (d) -1.33 (e) 30\/11 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (338*l**3 + 255*l**2 - 255*l**2)*(-4*l + 6*l - 3*l) + 9*l**4 - 4*l**4 + 3*l**4 in the form o*l**4 + z*l**3 + d*l + x*l**2 + y and give o.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151 + 310 - 148)*(4*r + r**2 - 2*r - 9*r) + (0 + 0 - 2*r)*(-r + 0*r + 3*r) + 2*r**2 + 4*r**2 - 4*r**2.\nAnswer: 9*r**2 - 77*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 28468.231?\nAnswer: -28463.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 14030*y = -14024*y + 84, 0 = 5*k - 4*y - 110 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l + 59*l + 61*l + 51*l - 207*l.\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - p - 45 = 3*h, -h - 2*p + 18 = 0. Let u(j) = 85*j**3 + j**2 - j + 1. Let r be u(1). Let s = -50 + r. What is the highest common divisor of h and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-22) - (-59)\/((-1947)\/(-498)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8061 - -5032. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.96 and -6.5.\nAnswer: -12.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66264 and 38412?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5805910 and 1927.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -46*q**2. Let h(k) = -2*k + 503. Give c(h(z)).\nAnswer: -184*z**2 + 92552*z - 11638414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 283*p - 279. What is l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17696084 or -17696083?\nAnswer: -17696084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1291.3 + -1291. Sort 0.4, -0.2, w, -3.\nAnswer: -3, -0.2, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(1 + sqrt(468))**2 - (4 + 2 + sqrt(468))**2) + -2.\nAnswer: -36*sqrt(13) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/1)\/(1\/(4\/1)). What is the smallest value in k, -15, 2\/11, -2\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/5082 and 31\/30855.\nAnswer: 431970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 252*a + 86185. Calculate w(-342).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371283 (base 9) to base 7.\nAnswer: 1622115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 7:51 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Suppose -b + 2 = -n. Suppose 5*j - 30 = b*h - 6*h, 3*j = 5*h + 52. What is the greatest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529.6777um in millimeters?\nAnswer: 0.5296777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 22*a - 83. Let t be v(4). What is the biggest value in t, -1\/2, -0.13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(((-5)\/(-10))\/((-98)\/(-2))). Let v = -374 + z. Solve -6*d + 0*d - v = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 159?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + y**3 + 2*y + (2*y**2 - 5*y**2 + 5*y**2)*(-4*y + 3*y - y) + (-y + 2*y + y)*(-5 + 0 + 2)*(-y**2 + 0*y**2 + 3*y**2).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-2))\/(4\/(-6)). Suppose -3*c = -0*v + v + 9, 0 = 5*v + 3*c - 3. Suppose 0*g = v*g. Solve g = -3*y + 3, -p*z - 2*y + 0 + 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m**2 - 16 + 8*m**3 - 9*m**3 + 46 + 2*m**2 + 23*m. List the prime factors of k(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 268 = 4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748.0447ng to micrograms.\nAnswer: 0.7480447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 756 and 17365227120?\nAnswer: 17365226364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d - 80*d - 6 = 4*q, -5*q = 2*d + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 7*i**2 - 227*i + 18. Determine v(19).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-105))\/(71\/497).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 24*z**2 - 1 + 62*z**2 + 3.\nAnswer: 38*z**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1079*c**2*g**3 - 10908*c**2*v - 77*c*g**3*v + 2*c*g*k*v + 40*c*k*v + 3*c*v + 11*g**3*k*v + g**2 wrt g?\nAnswer: 6474*c**2 - 462*c*v + 66*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3837)\/2558)\/((4\/(60\/(-9)))\/((-68)\/5)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a**2 - 90*a + 96 = 0.\nAnswer: 2, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-8))\/((-2)\/4). Suppose 0 = s + 2*s - 5*c - 49, -4*s + 27 = c. Let t = g + s. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/21870 and 53\/24?\nAnswer: 87480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.18, -5, 2\/7, -3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-3) + -17)*4. Let h = -24 - m. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 13 = -4*x - 14, -2*u - 3 = -5*x. Let w(p) = -1. Let r(h) = 2*h + 4. What is x*r(o) + 4*w(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.003 and -0.0173904487?\nAnswer: 0.0203904487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9047003 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 + 27*d - 29 + 5*d**2 + 10 - 6. Let p be i(-28). Sort p, 5, -14 in descending order.\nAnswer: 5, p, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*n + 79 + 38, n = -1. Which is bigger: 28 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999058.\nAnswer: 2, 19, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413803 = 9*o + 3*f - 41627, 4*o = -2*f + 202416. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + -3.8. What is the biggest value in d, 5, -3, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 87050.9\nAnswer: -95755.99","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 19 - 152*w + 32*w**2 + 30*w**2 + 28*w**2 - 88*w**2 to the form f*w**3 + p + m*w + i*w**2 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -604, -2305, -5102, -8995, -13984?\nAnswer: -20069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -1768\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 2*l**2 + 2*l - 1. Let c be y(2). Let p = 20 - 11. Calculate the greatest common divisor of p and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/7 - 346468*b**4\/7 - 1039410*b**3\/7 - 1039412*b**2\/7 - 346471*b\/7.\nAnswer: b*(b - 346471)*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 169 or 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**2 - 6*d + 5. Let n be m(1). Let a = -4120 - -4120. What is the smallest value in a, n, -3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.376 - 78.\nAnswer: -77.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let d(s) = s. Let p(h) = 2*h**2 + 9*h. Let k(l) = -36*d(l) + 4*p(l). Calculate k(i(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from -14358299.\nAnswer: -14358281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - -4*(7 + 2). Which is smaller: 52 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((2\/(-3))\/((-14)\/(-42))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9745 divide 1578712296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -51*z - 6. Calculate o(-3).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q - 2910808 = -2906319 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (968*h - 1775*h - 3204*h - 2)*((0 + 0 - 1)*(5*h - 5*h + h) - 4*h + h + h + h + 2 - 2 + 1 - 1 + h - 1 + 1 + h + (4*h - h - h)*(3 + 0 - 1)).\nAnswer: -16044*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 614114 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537128 = -a - 1537091 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 44*h - 67. Put 7, h, -1, 4 in increasing order.\nAnswer: -1, h, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -412*p**2 + 7991168*p - 310336 = 0?\nAnswer: 4\/103, 19396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9\/14 of a week?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3219 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -5776589897998.\nAnswer: -5776589897998.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -1031?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 8*i + 9. What is b(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcrrrffs. Give prob of picking 1 f and 2 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 8*a**2 - 9*a - 1. Let b be d(9). Let j be 1\/(b + (-125)\/(-124)). Let z be (-2)\/3 + j\/6. Calculate the greatest common factor of z and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -401. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 11083 - 11087, 4*y - 5*z = -13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2. Let a(w) = -3*w + 3. Let r(d) = -6*d + 5. Suppose -z - 3*o - 6 = 0, -7*z + 3*z - 4*o - 16 = 0. Let q(l) = z*r(l) + 5*a(l). What is q(p(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -5)*(-2)\/(-4). Let j be (-1 + 2)*(f + 0). Let w(b) = 7*b**3 - b**2 + 2*b - 1. Is w(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*d - 241*d - 352 = -4351 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (4 - 26) + -36\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*r + r + 5*i, i - 2 = 0. Let g be (-1*5)\/((-4)\/(-14)). Let x = r + g. Which is the third smallest value? (a) -2\/23 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 55557*s + 9. Let f(u) = 1. Let m(i) = a(i) + 4*f(i). Suppose 2*k + 2 = -16. Let x be m(k). What is x rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.3 and 313068.\nAnswer: 1659260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, s: 1, a: 5}. Give prob of sequence sa.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 11993642?\nAnswer: -11993644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:58 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a9b6 - 7?\nAnswer: 5a9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 97 = 13. Let y be 704\/10 - 2\/5. Suppose -h + y = n. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*d - 31919 = -8027 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18283094 to the power of 1\/2, to the nearest integer?\nAnswer: 4276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -46. Solve -8 = 4*p + c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89.07 + -89. Let f = 5.97 - 6. Let b = h - f. What is the nearest to b in -3, -2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.012 - 4.988. Which is the third biggest value? (a) -19 (b) 1\/8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obo when three letters picked without replacement from ooooooooooobbooooooo.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 12 = -p. Let a(n) = 3*n + 13. Let t be a(p). Is 135\/9 + (t - 4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v\/v**(-1\/6))*v)*v)**(7\/5)\/(v**(-5\/6)\/v**(-2\/39)))**1 assuming v is positive.\nAnswer: v**(248\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 165356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7630929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j - 8 = -44*j. Calculate the common denominator of (-3)\/j + 256\/48 and 83\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.139294km in centimeters?\nAnswer: 513929.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 88, 73, 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvbbvvvvv. What is prob of sequence vbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 100?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1131, -2, 1863, 4464, 7801, 11874?\nAnswer: 16683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 14*q**2 + 24*q - 78. Determine j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -10*m + 11*m. Suppose m*x - 7*f - 35 = -2*f, 0 = 5*x - 3*f - 25. Suppose 2*t = -d + 19, -d - 3*d = x*t - 34. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + 10*y. Let n(r) = -3*r. Give k(n(t)).\nAnswer: -27*t**2 - 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -9*q + 12*q + c, 4 = q + 3*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 1 - 12*p**4 + p + 0*p**2 + 13*p**4 as b*p + j*p**2 + q + w*p**4 + t*p**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygumgbqm. What is prob of picking 1 q, 1 b, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -26.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 9*k**2 - 273938*k + 273488*k as q*k**2 + c + i*k and give i.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/216*(-2)\/(-2)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03138211 rounded to four decimal places?\nAnswer: -0.0314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*g - 10 = 0, 6*r - 14 = 5*r - 5*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from zzvzzvszssmzzzvzv?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9984 and 80832?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m - 13 = 57*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*f + 0 = -340. Let x(b) = 31*b + 157. Determine x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277410218 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174242 - -174212.7122. Let a = l + 98.2994. Let z = 69 - a. What is z rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/385, -0.31, -5, -14 in increasing order.\nAnswer: -14, -5, -0.31, -1\/385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) + 609\/(-6). Let z be -356*(3\/6 + -1). Let a = z + k. What is the greatest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.1437.\nAnswer: -0.07185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d - 1 + 4*d + d**2 + 6*d. Let r(w) = w**3 - 10*w**2 + 10*w - 13. Suppose -v + 12 = 3. Let o be r(v). Calculate x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 464, 973, 1676, 2567, 3640?\nAnswer: 4889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x*x*x**(-7)\/x))*x*x**(3\/4) assuming x is positive.\nAnswer: x**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -174.9\nAnswer: 171.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1257184 divided by -2\nAnswer: -628592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 16\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 8*l**2 + 5*l - 26. Let z be f(8). Suppose v - 4*p = 220, 4*v + 648 = 5*p + z. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 143150 divided by -5726.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + v - 3*v + (-v + 3 - 3)*(5 - 2 - 1) + 1265*v + 1138*v + 270*v - 608*v)*(-v**2 + v**2 + 2*v**2) to the form i*v**3 + y + p*v + l*v**2 and give i.\nAnswer: 4128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 1\/60*p**5 + 1\/120*p**6 + 0 - 1\/12*p**4 + 0*p**3 + 13*p + 21\/2*p**2. Let t(d) be the first derivative of q(d). Factor t(r).\nAnswer: r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 8*q - 22. Determine y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 6*d**2 + 16*d - 57. Calculate q(6).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1211*f**2 + 0 + 601*f**2 + 0 - 14*f - 2 + 609*f**2. Calculate q(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/32*(12\/3)\/1. Solve -z*h + 4 + 6 = y, -5*h + 5*y = -30 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/903 and -81\/112.\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*n - 6*n. Suppose 0*l = -3*l + n. Suppose 164000 = z + l*z. What is z rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248 + -133. Suppose 0 = 2*h + 3*h - 980. Let m = h - i. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edes. Give prob of sequence sd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/15))\/v**(-27))\/(v**9)**(-31) assuming v is positive.\nAnswer: v**(4606\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*c*l**5 + 302*c*l**2 + 507727*c + 128795*l**5 wrt l.\nAnswer: -10860*c*l**2 + 7727700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**8\/1344 + i**6\/720 - i**4\/6 + 2*i. Let v(u) be the third derivative of t(u). Find the second derivative of v(s) wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 518.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.486869 days to microseconds.\nAnswer: 733265481600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 26*u**2 - 50*u - 55. Determine d(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + f. Let u(w) = -7*w**2 + 16*w - 1. Let v(h) = -6*r(h) + u(h). Let b be v(10). Sort -0.5, b, 2\/3 in increasing order.\nAnswer: b, -0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((-6)\/36). Let a(g) = 2*g + 2. Let f be a(m). Let z be 27\/(-18)*(-8)\/f. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(13) - (sqrt(13) - (-2 + sqrt(13)))) + -3) + -2.\nAnswer: -22 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/9 (b) -381 (c) -4\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/60 - x**4\/8 + x**3 - 348*x**2. Let n(o) = 1. Give -6*n(c) + w(c).\nAnswer: -c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -36121 - 384.029\nAnswer: -36505.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 19 - d**2 - 6 + 7*d - 26*d - 12*d. What is the units digit of m(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423112 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*v + 36 = 3*v, -4*v = b + 2. Calculate the remainder when 54 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135710*o - 153007 wrt o?\nAnswer: -135710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + 160 + -325 + (-1 - -32).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*l**2 - 44*l**3 - 8*l**2 + 45*l**3)*(2 - 4 + 0) to h*l + q*l**3 + j*l**2 + y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 125 = -29*i, -2*n = 111 - 103 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.4 (c) -155 (d) 1 (e) -5 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3)*(2*s - s + 0*s) + 593410*s + 0 + 4 - 599607*s - 4 in the form b*s + p and give b.\nAnswer: -6196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 8*m - 2. Let y be t(-8). Let s be (-1)\/((4\/6)\/y). Suppose 5*n = 0, s*n = -q - 2*n + 84. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 52\/20 + (-2)\/(-5). Suppose 10 = u - 0*n - 4*n, y*u + 3*n = 9. Suppose -186 = -u*z + 696. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 + 14*t**2 - 2 as b + o*t + d*t**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64080 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157172 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c + 26. Let t(b) = -4*b + 1. Let s be t(5). Let f = s + 25. Calculate the least common multiple of f and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -302 + 302.27. Which is smaller: 2\/13 or y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(868\/240)*(-287)\/164\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 7:35 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 502397\/6 + -83355. Let s = y - 377. Is s > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 + 132. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*11*140\/824824*26.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)*z*(z**(1\/11)*z)\/z)\/(z**(3\/7)*z*z**(-1\/6)*z*z))**(5\/3) assuming z is positive.\nAnswer: z**(-14255\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**3 - 6*k + 6. Let y(x) = -65*x**3 + 35*x - 35. Let t(o) = -2*o**3 - 10*o**2 + 7*o - 24. Let w be t(-6). Calculate w*y(u) + 35*v(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 37, 64, 97, 136, 181, 232?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -22, -4, 14?\n\"Answer: 18*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 1 - 4. Let x(d) = -4*d + 58. Let w be x(11). Let h be 46\/w + (-4)\/42*3. Put h, u, -2, -3 in increasing order.\nAnswer: -3, -2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**4 + 1725*c**3*o + c*o - 8*o - 105 wrt c.\nAnswer: 48*c**2 + 10350*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328000?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 35.43082nm?\nAnswer: 0.00000000003543082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/5 - 43872*h**2 + 2193752*h\/5 - 1053024 = 0. Calculate h.\nAnswer: -109690, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 61 - 61 + n. Let z be c(2). Suppose -2*w + z*o - 6 = -2*o, 3*o - 17 = -w. Sort 4, -1, w in descending order.\nAnswer: w, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7533022 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788 - -311.2?\nAnswer: -1476.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6 + 8*w + 10 - 15. Let q be t(-1). Let a = q + 14. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136 - -138. What is the closest to -2 in u, 0.3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727, -1467, -2217, -2977?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t + 77. Let l(a) = 14*a - 76. Give -6*j(f) - 4*l(f).\nAnswer: 4*f - 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.8 + -5. Which is the smallest value? (a) j (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, a: 10, e: 2}. Give prob of sequence evae.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -776 divided by 2\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -93, -90, -87, -84, -81?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.13935, -81 in descending order.\nAnswer: -0.13935, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/184 and 21\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/5*d + 2\/5*d**2 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -4, -2.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 25*v**2 - 25*v - 151. Let t be g(-12). Let u(w) = -6*w**3 + 5*w + 5. Let c(f) = 6*f**3 - 4*f - 4. Give t*c(s) + 4*u(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/((-10)\/30*12))\/((-1)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -23. Let c = -18 + 46. Calculate the highest common divisor of o and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 909616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/11 + -47\/22. Let o = 0.4 + 1.6. Let c = 9945 + -9942. What is the closest to 1 in c, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 197132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u**2 - 6*u + 3. Suppose 0 = h + a - 11, a + 17 = 4*h - 2. Let w be j(h). Suppose -w*s + 4*s = -2. Sort s, 3, 0.1.\nAnswer: s, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 3733*b - 1. Let n(o) = o - 991. What is r(n(k))?\nAnswer: k**2 - 5715*k + 4681483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*l = 31, -6 + 3 = t + 2*l. Let m = 8 + t. Solve -4*u = 4*b + 36, -b - m = 2*u - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348 a factor of 27208179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1101 + 496 + 301)*(3 - 4 - 25*j**2 + 23*j**2 - 2*j).\nAnswer: 608*j**2 + 608*j + 304","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48433 and 749.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111110100110100 - -100?\nAnswer: -111111110100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9203 - 0.0103. Let u = p + 0.09. Let f(s) = -29*s + 204. Let z be f(7). Which is the third biggest value? (a) z (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101)\/(-202)*1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*c + 632 = 0, -3*c - 1902 = -0*u - 3*u. What are the prime factors of u?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + (sqrt(77) - 5*(2*sqrt(77) + sqrt(77))) - sqrt(77))\/(sqrt(343) + sqrt(343)*1) + -4.\nAnswer: -4 - 13*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 187030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/275 and 17\/325.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/25)*v*v)\/v)\/(v*v*(v\/(v**45\/v))\/v*v*v) assuming v is positive.\nAnswer: v**(1022\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = b, 2*y - y - 2 = -2*b. Let r(i) = i**2 + i. Let q(a) = -a**2 + 9*a - 5. Let k be q(8). Let x(h) = h**2 + h - 1. Give k*r(j) + y*x(j).\nAnswer: j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.989, -0.17, -679 in decreasing order.\nAnswer: 7.989, -0.17, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 459023 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5027093 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -4*n + 47, -323*n + 315*n = 5*k + 42 - 131 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 + 2. Calculate the remainder when 73 is divided by i(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132666 (base 7) to base 6.\nAnswer: 311530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 555 = 5*v. What are the prime factors of v?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-12) + (-6 - (-20)\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-4)*(-1)\/(-3). Suppose -4*w + 11*w = s. Solve 2*z - z - 5 = w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -704 (base 8) to base 15\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 18, 15, 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/8, 2, 0.6, -0.4, 0.034?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 938010 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j**3 - 11*j**3 - 10 + 3 + 3 + 44*j**3.\nAnswer: 92*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + -13 - 15) + (6 - (7 + 2)) - 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8)\/v)\/(v**(-3\/2)*v) assuming v is positive.\nAnswer: v**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 28*f**5\/5 + 3*f**4\/4 + 41*f**2\/2 + 49. What is the second derivative of l(y) wrt y?\nAnswer: 336*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2403*n + 2422*n - 4842*n + 302 as u + b*n and give u.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44911 divided by 97?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 72*l + 8. Let j(a) = 48*a + 5. Determine 8*j(b) - 5*t(b).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1982378 and -65\/14?\nAnswer: 13876646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*z + 9. Let k be 53 + (-2 - -2) - z. Let w be ((-33)\/(-4))\/((-13)\/k). Round w to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 21) + -9 + (48 - 30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 3*l + 6*l - 103 - 99 + 295 - 92.\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*m + 3*t, -19*t + 14*t = 3*m. Suppose 0 = -m*z, 4*z = -3*q - 0*z + 33. Is q greater than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*p = 18, -13 = 5*q - 9*p + 10*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-10)\/475*-1. Is g not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 - 0.6. Let c = -11 + 9.6. Let i = -0.6 + c. What is the nearest to -1 in -3\/5, o, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {q: 8, k: 9, x: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 62248003 and 62248000 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 17}. What is prob of sequence aar?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -802*k + 6672. What are the prime factors of c(-47)?\nAnswer: 2, 7, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 18*k**3 + 3*k**2 + 5*k + 10. Let r(a) = -9*a**3 - 2*a**2 - 2*a - 5. Let u(j) = -5*r(j) - 3*v(j). What is the tens digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 392*q**2 + 102648*q + 6719778 = 0.\nAnswer: -1833\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - q - 572 = 0, 0*v + 3*q = -2*v + 222. Calculate the smallest common multiple of v and 5 - 184\/36 - (1136\/(-18) - -3).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6157608*m**2 + 2025*m + 5754?\nAnswer: -12315216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**3 + 0*h + 0*h)*(3 + 0 - 10) + (-916 + 912 + h**2 + 0*h - 2*h)*(-2*h + 4*h - 3*h) as z + m*h + t*h**2 + w*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14323351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*j - 111*j + 96 = 0, 11*q = 2*j + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grtr when four letters picked without replacement from gsgsrrtgdtrdlss.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 1, c: 3, r: 1, d: 1, x: 2}. What is prob of picking 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t**2 - 3\/2*t**4 + 0 + 0*t + 0*t**3 + 1\/2*t**5 = 0. What is t?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 736\/221 + -54\/17. Let s = 0.16 - 0.26. Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122809, -122728, -122647, -122566, -122485?\nAnswer: -122404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d + 6*d + 20*d**2 - 20*d - 2 as q*d + h + z*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31791598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20313772 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8d + 7?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1093247 and 0.2.\nAnswer: 1093247.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.584 * 3.\nAnswer: 115.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 195 = -6*a. Let v = -72 - a. What is the common denominator of -1\/4 and 2919\/(-1470) + (-2)\/v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/11 + 58*y**4\/11 - 596*y**3\/11 + 2484*y**2\/11 - 3402*y\/11 + 1458\/11 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o + 64. Let u(c) = 11*c + 129. Let f(g) = -5*l(g) + 2*u(g). Let x be f(-8). Find the third derivative of -12*d**x + 50 - d**4 + 45*d**4 - 50 wrt d.\nAnswer: 1056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbe. What is prob of sequence bbe?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3\/3 + 6*a**2 + 6*a + 10. Calculate k(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62\/45 + 34\/15. Let c(s) be the first derivative of -2\/27*s**3 + 0*s**2 - 2 + i*s. Determine d so that c(d) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -16. Let y be x\/(-4) + -4 + 2. Let l = -8 + 36. Solve -b + 3*h - 8 = y, -3*b - l = -7*b - 3*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c**5*n**2 + 2*c**2*n + 60*c*n**2 wrt c?\nAnswer: -260*c**3*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 1, a: 4, p: 7, c: 2}. What is prob of sequence pna?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34205791?\nAnswer: 34205791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 46. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100946787\/322 - 313499. Calculate the common denominator of 61\/8 and c.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 9. Let r be p(3). Let v = r - -246. Let u = v - 89. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -10*q**2 + 11\/3*q**3 + 1\/12*q**4 + 0*q + 0. Is d(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 7 = -2*t + 14, 3*t - 12 = -5*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24242, 24260, 24340, 24512, 24806?\n\"Answer: 5*u**3 + u**2 - 20*u + 24256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 600117 times -0.5\nAnswer: -300058.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 7061?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 36*k + 286. Let f be s(12). Which is the biggest value? (a) -0.0201 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634389232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and (-84)\/(-9) - (7\/21 + -1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/21)\/(-14)*3\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = q - 0*q. Let c(k) = -k**3 - 15*k**2 + 10*k - 88. What is the remainder when q is divided by c(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140950 is divided by 319?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 1255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3510950*k*r - 647355156*k - 3*r wrt r?\nAnswer: 3510950*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010 (base 2) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/15 + 184*o**4\/15 - 3626*o**3\/15 - 28748*o**2\/15 - 6272*o\/15 + 153664\/15 = 0.\nAnswer: -4, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567 + 43*d + 390 + 4562 - 44*d + 698.\nAnswer: -d + 5083","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-280) - 47\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1194 - 2.\nAnswer: -1.8806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*k + 9*k + 117, -k - 2*j = 4*k + 3*j + 110 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -13*o. Let v(z) = 9*z + 3 - 3 - 12*z. Let f(l) = -4*q(l) + 18*v(l). Let d(r) be the second derivative of r**4\/12 - r. Determine f(d(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1325 + -4.1325. Which is the fourth biggest value? (a) 1\/2 (b) 0.3 (c) g (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 13*c + 607. Let m be f(-19). Is -2\/581 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5*6\/(-20))\/(3*(-2)\/63944)?\nAnswer: 2, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 8, b: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 + 3*x**3 - 3*x + x**3 + 3*x + (2 - 2 + x**2)*(4 - 4 + x) - 6*x**2 + 4*x**2 + x**3 - 2*x**3.\nAnswer: 4*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.711 + -486.711. Let v = 486.00345 + t. Round v to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37950, 75900, 113850, 151800?\n\"Answer: 37950*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 5\/2 (c) 4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**4*z - 1021*y**4 + 2*y**3*z - 2*y**3 - 32*y**2 - 32*y*z wrt y.\nAnswer: -48*y*z - 24504*y + 12*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*(-19 - 1). Let d = a + -8. Suppose 0 - 8 = -2*s, -d*s - 28 = -2*k. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8*s = 96. Suppose 4*g - 22 = 10. What is the greatest common divisor of g and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l**2 - 2. Let q be t(0). Suppose -185 = 10*x - 93 - 102. Sort x, 0, q in decreasing order.\nAnswer: x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11136299*q*z**3 + 2*z**3 + 70792*z**2 - 13*z + 6 wrt q.\nAnswer: -11136299*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 * 6.926.\nAnswer: -2.00854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 34*j + 30*j + 27844, 2*q - 5*j = 18578. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39091865 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 251, 509, 789, 1091?\n\"Answer: 11*q**2 + 225*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.152 - -0.15199927. What is r rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 14. Let g(z) = -z**2 + 12*z - 12. Let q be g(i). What is the greatest common factor of 88 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -4 (b) 0.06 (c) -5 (d) -17 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14 + 40*t + 11390*t**5 - 4473*t**5 - 5231*t**5 wrt t.\nAnswer: 33720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26348816408.46 minus -63?\nAnswer: -26348816345.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.12. Let u = -0.03 - -0.25. Let x = u - b. Are 2\/5 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -2, 3 in increasing order.\nAnswer: -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooxoxx. What is prob of picking 1 x and 2 o?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/137900 and 69\/11200.\nAnswer: 2206400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -17*u**5 - 14*u**2 - 181*u - 5. Let m(h) = 6*h**5 + 5*h**2 + 61*h + 2. Let w(o) = 4*k(o) + 11*m(o). What is the second derivative of w(b) wrt b?\nAnswer: -40*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -520*j - 3570. Let l be r(-61). Calculate the greatest common factor of l and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 10:50 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16417?\nAnswer: 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82345.\nAnswer: 5, 43, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50456 is divided by 205.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -6098.\nAnswer: -6098, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/20 - u**4\/8 + u**2. Factor d(t).\nAnswer: -3*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 66, 0.49, -1\/4, -122, -1?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 + 260 = -3*p. Put p, -5, 44 in descending order.\nAnswer: 44, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 36. Let x be n(15). Suppose 3*h + x = -4*t, 3*t - 18 = -3*h + 7*t. Solve 0*u**3 - h*u**3 - 13*u + 15*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c + 3. Calculate t(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/39886 and -23\/264?\nAnswer: 478632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from ykyyykooy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-41) - (-69960)\/(-94710)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195958230 to the power of 1\/3, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(28) + -5*(sqrt(28) + sqrt(28)*-2)))\/((sqrt(20)*1)\/sqrt(5)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 8. Solve -4*z + 6 = i, i = h*z - 7 - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -625046 + 625043.34599. Let u = 2.124206 + x. Let o = u + 0.53. What is o rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-25)*(5\/4)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 247.2 times 3.4\nAnswer: 840.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*d + 14 = d, 0 = -2*o - 3*d. Differentiate -o - 3 + 4*x**2 + 0*x**2 + 4 with respect to x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 65 = 5*y + 6*x, -2*y + 3*x + 26 = 0. Solve y + 3 = 8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64140 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 1 (b) 0 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 14*i - 24.\nAnswer: -2*(i - 4)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 + (2 - 2788\/(-8)). Let a = l + -149. Calculate the remainder when a is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a132a + 16?\nAnswer: -1a1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/(1\/(6\/6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 12. Let s(p) = -f*p + 0 - 6 + 9*p - 2. List the prime factors of s(11).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*s**2*u**4 + 4*s**2*u**3 - 76*s**2 + 2*s*u**4 + 2*s*u**2 + u**2 wrt u.\nAnswer: -144*s**2*u + 24*s**2 + 48*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 528696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 5*i - 5*i)*(i**2 + 0*i**2 + 0*i**2) + (-2*i**2 - 3*i**2 + i**2)*(-4*i - 2*i + 5*i + (-1 - 2 + 1)*(0*i + 3*i - 2*i) + 2*i - 3*i + 2*i - i - 3 + 3).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711.\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 328*c**3 + 55*c**3 + 3*c**2.\nAnswer: 383*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -5, -10, -19, -32?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o - 4*z - 48, 3*o = -3*z - 48. Suppose 2*y - 2*p - 36 = 3*p, 100 = 3*y + 4*p. Let d = o + y. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 c when four letters picked without replacement from wckcwccccc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 388 - 380. Find the first derivative of -219*q + 3*q**4 + q**4 + 16 + f*q**4 + 223*q wrt q.\nAnswer: 48*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 10. Find the second derivative of 14*f**4 - 30*f**4 + o*f**4 + 2*f wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 410*x - 450*x - 120 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 7?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 17*b**2 - b - 15. Let q be -17*-2*3\/(-6). Let d be c(q). Suppose -5*m = o - 182, -d*o + 154 = 4*m + 3*o. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.05, 0.007332, 104 in increasing order.\nAnswer: 0.007332, 0.05, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8196.7 - 8197. What is the fourth biggest value in o, 45, 0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3902.6 + -4375. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 529*r**2 + 285*r - 5567. What is h(264)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.0752.\nAnswer: -0.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + ((sqrt(833)*1 + -1)**2 - (1 + (sqrt(833)*-1)**2))).\nAnswer: 10 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 25 = 2*z, -22 = -4*f + 3*f + 5*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2157 = 4*j - j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 - 5*x**2 + x**2 + (1 - 2*x - 1)*(-1 + 0 + 2 + x) + 8*x**2 + 0*x**2 - 2*x**2 in the form c*x**2 + s + a*x and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1280, 3, -4, -300, 6.\nAnswer: -300, -4, 3, 6, 1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2481*b**3 + 4002*b - 4002*b.\nAnswer: -2481*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**3 - l**2 + 2*l + 2. Let x be i(-1). Solve 0 = x*j - 3 + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/10 - 57073*m**3\/10 + 814417417*m**2\/10 - 488342283*m\/2 - 1465643205 = 0. Calculate m.\nAnswer: -3, 6, 28535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.9, 3, -46080, -0.6, -2\/5, 2 in descending order.\nAnswer: 3.9, 3, 2, -2\/5, -0.6, -46080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-111)\/(-12) - 0)\/(-1) and -43\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44752958 and 1844.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372530534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 36492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*q - h = 127*q + 3, 3*q - 3 = -3*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/(-81120)*90*8\/14.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + l + 157, 5*l - 112 - 103 = -5*b. Solve -b*p - 29 = -21*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. Let c(q) = -q**2 - q + 8. Let o(d) = -c(d) - 3*z(d). Let y be o(9). Determine j so that -18*j**2 + 66*j - 34*j**2 - y*j = 0.\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4348 or -4349?\nAnswer: -4349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -638*f**3 - 66*f**2 - 66*f + 66. Let m(p) = -49*p**3 - 5*p**2 - 5*p + 5. Determine -5*g(n) + 66*m(n).\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 45\/8, -0.13247, 0.8 in ascending order.\nAnswer: -0.13247, 0.8, 45\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1269953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-28)\/(-8) - 3). Put a, -2, -5 in ascending order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(0*w + w**3 + 2*w + 8 - 6).\nAnswer: -2*w**3 - 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/30022 and 22\/4415?\nAnswer: 150110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-200)\/(24 - 14)*144\/(-10). Let t = 41 + -23. What is the greatest common divisor of k and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618914.2ug to milligrams.\nAnswer: 618.9142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 0*h - 4*h - h in the form t*h + w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 4990*w**3 + 9931*w**3 + w - 4975*w**3 - 3*w**4 to y*w**3 + r + g*w**4 + i*w**2 + n*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.415 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five eighths of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 1 + sqrt(1053) + -2)**2 - (sqrt(1053) + 1)*-3 - (-3*sqrt(1053)*1*-6 + -2).\nAnswer: -171*sqrt(13) + 4218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265*d**3*k**2*o**2 - d**3*k*o + 2*d**3*k + 2*d**2*o**2 - o wrt k.\nAnswer: -530*d**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 12*d + 27. Suppose 0 = s + 51 - d. Let u = s - -45. Solve -3*c = 2*n - 4 - 12, 0 = u*c - 4*n + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 8*y + 28 + 8*y + 3*y.\nAnswer: 3*y + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*w = -5 - 0, 4*x + 37 = 5*w. Let o be (3 - (3 - x)) + -1. Let p(b) = b**3 + 4*b**2 - 4*b - 2. Is p(o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/14 + (10 - 10 - 7) - (-1380)\/14\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 3\/4, -1, 1\/522, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10)\/(2\/20). Solve -z*b - 2*o = 6, -4*b + 13 = -o + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 7. Let x be a(-5). Suppose -3*v = -3*w - 6, 8 = -6*w + w + x*v. What is the units digit of -2*((-23)\/2 - w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) 1 (c) -2\/9 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Suppose -148 = -u*s - 4*s. Suppose -3*f = 2*d + 3*d - 71, 5*f = 3*d - 29. What is the remainder when s is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10027858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*d - 8, 0*d - 3*d - 12 = 0. Let o(y) = 15*y + 1. What is o(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289291203*m**4 - 7*m + 78007.\nAnswer: -3471494436*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (34 + -8)) + 96 + -98?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1001100111110010000 (base 2) to base 13\nAnswer: -b0674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 3*d - 3*d)*(-3 - 3 + 3) - 20 - 2*d + 20 + (3*d - 2*d - 2*d)*(-4 + 2 + 3) to k + j*d and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 13*g**2 - 2*g + 7. Let m be w(13). Let y = m - -25. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/i**(1\/3))))**(-2\/51))**(11\/5)\/(i**(-5)*i*(i**(-4)\/i)\/i)**(20\/3) assuming i is positive.\nAnswer: i**(50956\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 795493 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003325 to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/27)*l**(-11\/5)*l*l**12*l**(-9) assuming l is positive.\nAnswer: l**(253\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -74. Sort -0.2, 1\/2, w in descending order.\nAnswer: w, 1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w + 1. Let p be y(2). Let r = p - 7. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t. Let u(h) = -229*h**2. Calculate u(p(g)).\nAnswer: -11221*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -23, -1, -13, 4, 0, 5.\nAnswer: -23, -13, -1, 0, 4, 5, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 4*x + 35. Suppose 81 = 6*y + 39. Calculate the lowest common multiple of c(y) and (-2 - 6)*(-1)\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -7097 - -7095. Sort n, 4, -4, -5 in descending order.\nAnswer: 4, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.286924mm in centimeters?\nAnswer: 0.9286924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*m*y**2 + 183*k**3*y**2 + k**2*m*y + 2*k**2*y + k*m*y + k*y**2 wrt k.\nAnswer: -12*m*y**2 + 1098*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167\/17 or 10?\nAnswer: 167\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/8 - 28\/(-8). Solve 2 = -3*u - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(1\/11))\/(((y*y\/y**(-12))\/y*y)\/y) assuming y is positive.\nAnswer: y**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 131 = 3*q - 2*q + 5*i, q - 304 = 3*i - 225 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**2*s)\/s*s)**42*s**(-9)\/s**(-2\/21))\/(s*s\/(s\/(s*s**(2\/5)))*s*s*s**(2\/9)*s*s**3\/(s**(1\/3)*s)) assuming s is positive.\nAnswer: s**(61049\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 28. Let d(f) = 1. Determine -4*d(m) + j(m).\nAnswer: -m + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -571637, -571628, -571605, -571562, -571493?\n\"Answer: d**3 + d**2 - d - 571638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from milcsqi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 153 + 71 + 76.\nAnswer: -11*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1603*-0.3.\nAnswer: -480.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*s**3 - 148*o**2*s + 5121*o*s**3 + 12*o*s wrt s.\nAnswer: -12*o**2*s + 30726*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/565 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 3 - (-21 + 35 + -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364.563ms in microseconds?\nAnswer: 3364563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5109.152ng?\nAnswer: 5.109152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 27*j - 8. Let o be y(-3). Let p = o - -104. Suppose p - 6 = 3*g. Solve z = -4*z + 5*l + 5, 5*z - 4*l = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(13 + 19 - 1)*(140*q**2 + 19*q**2 - 60*q**2).\nAnswer: -6138*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 14 + (-10 + -14 - -46)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -590*-3*(-14)\/(-4). Calculate the common denominator of -79\/20 and y\/672*(0 - (-4)\/10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 92.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/497 and 47\/426.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*t - 2)*(-3 + 5 - 4) + (-1 - 2 + 1)*(2 + 0 - 3)*(31 - 31 - 7*t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -194.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 21603?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2161*z - 1917*z + 1974*z - 2*z**2 - 553352.\nAnswer: -2*(z + 526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1170 and -131\/90.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394355.2 weeks in microseconds?\nAnswer: 238506024960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -55. Suppose 0*v + u = 3*v. Let w = v - 7. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 23*n**2 - 20*n + 52. Determine d(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = p - 185, 8 = 4*a - 12. Let t be (-4)\/(-18) - p\/(-45). Suppose -2*k - t = -4*k. Solve r = -i + k*i - 3, 30 = -5*i - 4*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/288)\/(5*(-10)\/(-80)))\/((-2)\/(-45))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111100 + -101?\nAnswer: -1101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 897 = 279. Let w = v - 150. Solve 0 = -4*i - 6 + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1 + (-7)\/6). Suppose -2*i - i + r = 0. Suppose i*k + 4 = 28. What is the remainder when 22 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*j - x + 29, x = 1. Suppose j*v + 5*o - 2405 = 0, -6*v = -v - o - 2405. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 721*i + 965*i - 3*i**2 + 4427933 - 4664816.\nAnswer: -3*(i - 281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2733\/2 + -1366. What is the closest to -1 in -4, u, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**3\/3 + 515*i**2 - 1510*i\/3 - 3080 = 0.\nAnswer: -2, 3, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 7*a**4\/4 + 27*a**3\/2 + 103*a**2\/4 + 9*a - 5 = 0.\nAnswer: -5, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 7. Let a be (-1)\/(1\/(-14)*2). Let f be z(a). Suppose -2*y + 6*y + 8 = 0. Sort y, 3, f in decreasing order.\nAnswer: 3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -424 + 1504. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6.23. What is i rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3504.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70725)\/(-132020)*(-14)\/40.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2 - 6*s + 5*s + 10*s**2 - 1. Let w(p) = p**2 - 12*p + 28. Let r be w(9). Let k be x(r). Let j(l) = l**3 - 11*l**2 + 11*l - 14. Calculate j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1101103?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6747 divided by 2249?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351572.\nAnswer: 2, 13, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-544 + 544 + 17*i**3)*(4*i - 4*i - 2*i**2)*(-1 - 1 - 1).\nAnswer: 102*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k + 9. Let j(f) = 9*f + 6. Determine 4*j(l) - 3*q(l).\nAnswer: 6*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/14 and -31\/20405.\nAnswer: 40810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13)*-2*2)**2.\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311 (base 4) in base 11?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 43. Let k be (3 - 5 - -3) + 5. Suppose 4*p - 2 = k. Solve -p*m - m - f = 3*b, 2*b = -4*m - 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 3*v + 10. Let w be s(5). Which is the second smallest value? (a) w (b) 4 (c) -0.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30430 is divided by 7606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -5, -2\/3, -65, 0.36?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 668*k - 1649. Let f be v(8). Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 3 + g + g**2 - g + 2*g + 2. Is 30 a factor of v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 12. Calculate a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -u - 2*p, 5*p + 4 = -0*u + u. Solve -19*f + u*f = -10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-8))\/(2\/(-38)). Let g = 74 - r. Does 11 divide (g\/8)\/(15\/60) - -45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 5. Let o(u) = 119*u - 253*u - 4*u**2 + 132*u. What is o(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664930484?\nAnswer: 2, 3, 7, 29, 75941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 4*n - n**2)*(2*n + 2 - 2) + 3*n**3 - 5*n**3 + 0*n**3 to z*n**2 + m*n**3 + l*n + w and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2475 and 2520?\nAnswer: 138600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1)\/(-1) + 11. Let x(q) = -5*q - 10. Let k(s) = -6*s - 9. Let g(i) = 6*k(i) - 7*x(i). Determine g(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, 49, 5\/3, -1, 0.052 in decreasing order.\nAnswer: 49, 3, 5\/3, 0.052, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 56*(-2)\/(-192)*36\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/23 (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 7027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*c - 24 + 68, t = -15545*c + 15561*c + 58 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f - 30. Suppose -3*r + 15 = 3. Let o = -2 - r. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 9:21 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26929050\/(-4)*48\/(-60). Let i = 10925810 - r. What is i rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**4 - 24 - 9*j**4 + 2*j**4 + 0*j**4 - j**4 + 3*j**4 + (-11*j - 3*j + 12*j)*(-6*j**3 + 3*j**3 + 2*j**3).\nAnswer: 6*j**4 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -57. Suppose 3*f + 4*w = o*f - 380, 3*w - 12 = 0. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*a + 6323 = 0, 0 = -5*b + 2*a + 192 - 6499. Round b to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -417*r**4 + 263*r - 2 wrt r?\nAnswer: -5004*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 188 + 7. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 45823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -359.06 + 358.56. Which is the biggest value? (a) -2\/15 (b) x (c) 14 (d) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2000006)\/4 + (-63)\/(-42). Round n to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -37*i - 503. Does 57 divide s(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 21*d - 44 = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivdsiok. Give prob of picking 1 d and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-2\/3)\/n))**(-33)*n**(1\/5)\/(n\/n**(3\/2)))**20)**(-4\/3) assuming n is positive.\nAnswer: n**2328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6562, 25905, 58048, 102991, 160734, 231277?\nAnswer: 314620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 31*v**2 + 88*v - 111. Let w be t(28). Which is the third smallest value? (a) 2\/11 (b) -1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/43 and -41\/92.\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.858 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 2*o, -6 = 4*n - 3*o + 7. Which is bigger: n or -18\/1025?\nAnswer: -18\/1025","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 9*u - 9. Give a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 8 (c) -0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37088 = -4*d + 4*l, 12 = 3*l - 7*l. Is 299 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18842, 19027, 19260, 19541, 19870?\n\"Answer: 24*m**2 + 113*m + 18705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 2 q when four letters picked without replacement from qhqmwqqwkwwwqqq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1044.\nAnswer: -1\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -105\/232 smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 5*j**3 + j**2 + 6*j**3.\nAnswer: 15*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*p - p**2 + 19 - 52*p)*(17*p**2 - 79*p - 16*p**2 + 78*p) to the form n + t*p**2 + m*p**3 + s*p**4 + b*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 463878489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13791 - 13785. Solve c*n + 11 = 47 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(1\/(-44)*(-168)\/(-28)). Sort 4, o, 8.\nAnswer: o, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 m when three letters picked without replacement from {y: 1, l: 2, m: 2, d: 1, h: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 26. Let h be z(-8). Let f = 53 + h. Let q be (-1 + f)\/(-2)*-220. Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - 111?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 - -149. Suppose -126 = -n*x + 56*x. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49\/24 + 3\/8. Let p(n) = n**2 + 4*n - 4. Let l be p(-5). Let x be ((-5)\/(-1))\/1 - l. Which is the third smallest value? (a) 0.5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -981 - 3*v**2 + 6*v**2 - 8*v**2 + 417 + 153*v - 876 wrt v.\nAnswer: -10*v + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-48)*12 + -3 + 3. Which is the smallest value? (a) -32 (b) -5\/4 (c) -3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 206\/475 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216957.\nAnswer: 3, 13, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((4 - (0 + 6)) + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-8))\/(2\/(-40)). Let w be 4\/(-8) - o\/4. Let l(i) = -4*i - 5*i**w + 9*i**2 + 4*i. Let k(d) = -d. Give k(l(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-2)\/(-30)*141\/(-376)*-568.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(-29)\/(m**(-1\/3)*m)**(-25)*(m**(-6\/7)*(m**10\/m)\/m)**(1\/82) assuming m is positive.\nAnswer: m**(32731\/3444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1196)\/(-207) - (-2)\/9. Let m(s) = -s**2 + 4*s + 7. Let l be m(f). Let y = 5749\/11 - 523. Sort 1, l, y in increasing order.\nAnswer: l, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15261199.66 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*g + 3*a - 10, a - 64 = -3*g. Let n = g + 12. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4810 or 2787.1?\nAnswer: 2787.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 - 3*d - 2. Let m(x) = -5*x**2 - 2*x - 1. Determine 4*m(r) - 3*v(r).\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 25*i + 93 + 90 - 53*i + 12*i + 94 - 369.\nAnswer: -16*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -16, -2*c + 5*q - 3*q - 8 = 0. Suppose 0 = -2*m - 2*d + 10, -5*d = -4*m + 2 - c. Solve m*s = 2*a + 2*a - 10, -2 = a - 3*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -11, 4\/7, -7, -1\/41?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136385 and 4650?\nAnswer: 126838050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 5*j**2 - 9*j + 4. What is v(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600\/6250*(-795)\/2862.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42083510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 33*n**2 + 3*n + 3. Let q = -4 + 2. Is r(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-5642)\/147)\/13 + 44774\/28182\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 16*m**3 - 6*m**2 - 30*m - 15. Let h(c) = 3*c**3 + c**2 + 5*c + 1. Let z(a) = -6*h(a) - n(a). Let d(u) = -17*u**3 + 4. Calculate -5*d(r) + 2*z(r).\nAnswer: 17*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 402 + -401.7. Put 2\/13, l, -3, -5 in descending order.\nAnswer: l, 2\/13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6489.\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3504 + 3507.9883. Let s = u - -0.0117. What is the biggest value in 0.2, -0.4, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7882379715 and 1785?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = 72. Let v be (-1)\/(-6) - 102\/h. Differentiate 2*s**3 - 1 - v*s**3 + 3*s**3 with respect to s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33608527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 49335070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4128*w - 2897848. What is i(702)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65752.\nAnswer: 2, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 526\/291?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 4*k - 80 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*y**2 - 71*y**2 + 4*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 7*m - 12. Let s be q(-3). Let t(w) be the first derivative of 2\/3*w**3 + 2*w - 4 + s*w**2. Differentiate t(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 10*s**2 + s + 54. Give q(-13).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5832 is divided by 361?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -27252?\nAnswer: 27248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000832 rounded to five decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:12 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 455505390?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let d(b) = -5*b**2 - 2*b + 2. Give -d(h) - 2*w(h).\nAnswer: 3*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b3 - 85679?\nAnswer: -853b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13745303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(11)*-2*-4 + 1 + 2 + sqrt(1331).\nAnswer: -5*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1832\/(-462) + 57\/(-133). Let b = -11\/3 - n. Factor b*k + 2\/11*k**2 + 8\/11.\nAnswer: 2*(k + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 78 = -66. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -1\/6*x**3 - 1\/2*x**2 + 2 + 1\/24*x**4 + 0*x. Let c(z) be the second derivative of s(z). Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 131*b + 14342.\nAnswer: -(b - 71)*(b + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17\/470?\nAnswer: -17\/470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (7 - (5 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52593 = 4*w - 59579. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14478 divided by -38\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 70, 148, 266, 436?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/17070 and 34\/19915.\nAnswer: 119490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/5)*x\/(x*x**(4\/13))*x*x*x assuming x is positive.\nAnswer: x**(214\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5488798443 to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -16116405550.\nAnswer: -16116405550.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 3 + 393*o - 387*o + 0.\nAnswer: 6*o + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:32 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/12 + 25*r**4\/36 + 10*r**3\/9 + 248*r. Factor l(q).\nAnswer: 5*q*(q + 1)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1683441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-2))\/((-4)\/24). Let p be (2\/(-3))\/((-6)\/x). What is the smallest common multiple of 2 and ((-9)\/p)\/((-3)\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9471516\/(-121278) + (-4)\/(-41)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**3 - 1 - 6 - 6*s - 4*s**2 - 3*s + 7 - 13. Let p(h) = -2*h**3 + h**2 + 2*h + 3. Determine -2*n(g) - 9*p(g).\nAnswer: 2*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-66)*(-25)\/(1875\/(-45))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*l - 2*l**3 + 12*l - 29*l + (0 + 0 + 2*l**2)*(-l + 2*l - 3*l) + 19*l + 13*l**3 - 19*l.\nAnswer: 7*l**3 - 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-172)\/40 + 15\/(-75))\/((-3)\/12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-152)\/(-2) - (6 - (2 + 1))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 292*t + 217 - 5163 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 3*d**3 - 15*d**3 - 6*d.\nAnswer: -12*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 28*b**2\/3 + 98*b\/3.\nAnswer: 2*b*(b + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-3)\/3))\/((-10)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.102 + -1.1019969788. Round x to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/12 + p**3\/3 + p**2\/2 + 50*p + 1. Let x(d) = 3*d**2 + 5*d + 2. Determine 7*c(g) - 3*x(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1616, -1565, -1492, -1385, -1232?\n\"Answer: 2*m**3 - m**2 + 40*m - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 8928.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -4*c + 2, 4*m - c = 11. Let o be -2 - (m + -2*1). Is 2 + o + (1 - -26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -5 (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:05 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**16*y*y*y)\/y**(-4))\/(y**11\/(y**12*y*y)) assuming y is positive.\nAnswer: y**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n**2 - 2*n = 0. Calculate n.\nAnswer: 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22512 divided by 2.\nAnswer: 11256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/5 + o**4\/3 + 4*o**3\/3 + 10*o. Determine j, given that w(j) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkcc. What is prob of sequence ckkc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/55*8\/24. Factor 0 + 6\/5*a + n*a**2.\nAnswer: 2*a*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05224 or 0.1?\nAnswer: -0.05224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1039*q**2 - 124*q - 7?\nAnswer: 2078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.103 (b) 2 (c) -4.89 (d) 2\/7 (e) -1\/4 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458366580?\nAnswer: 2, 3, 5, 7, 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*j**2 + 343*j**2 - 13*j**3 + 340*j**2 - 1027*j**2.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*g - 5703, 18 = 4*g + 30. Calculate the greatest common divisor of 260 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 4\/7 (c) 0.2 (d) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -13. Suppose 0*s - s = -b - 391, 1549 = -4*b + s. Let v be (-15)\/60 + b\/u. What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 0*a + a - 3*a + 0*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l = 4*m - 74*l - 2065616, 0 = 2*m + 4*l - 1032822. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + 13\/819*60. Let q be 0 - (3 + (-87)\/30). What is the second biggest value in v, q, -7, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2.8. Let n = x + -1.37. Let j = n + -0.13. What is the second biggest value in j, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16 + 3*132\/36. Let n be (0 - -3)\/(6\/(-4)). Suppose -2*c - c = -15. Put c, n, r in ascending order.\nAnswer: r, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -6*j - 64. Let k be (440\/308)\/(j\/14). Solve -5*s + k = 0, 3*w + 5*s + 0*s = 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 4 = -4*b. Suppose -3*h - b = 121. Is -43 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24242 - 1130?\nAnswer: 23112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 17*g - 14*g = 5*q - 25, 0 = 2*g + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from gfpjtpgf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1702, 3404, 5106?\n\"Answer: 1702*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184946 divided by 14.\nAnswer: -84639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*m + 14 = 0, -m - 14 - 8 = -3*v. What is the smallest value in 4, 4\/3, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6 and (-520)\/24*(2380\/596 + -4).\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 + -10112210?\nAnswer: -10102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, c: 4, h: 6, l: 4}. Give prob of picking 1 l, 1 c, 1 h, and 1 m.\nAnswer: 72\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-3 - -5) + 8 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232015129.\nAnswer: 31, 83, 90173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let k(w) = 34 + 4*w**2 - 34. Calculate k(t(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25962 - -25962. Let q(f) be the first derivative of f**2\/2 + 8*f - 1. Determine q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 2430*b + 4880.\nAnswer: -5*(b - 2)*(b + 488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2)\/sqrt(7) + -5)**2*-6 + 5.\nAnswer: -409 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -55?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210936 to the power of 1\/2, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 - 96. Let i be (-1 + -2)*l\/9. Is 27\/5 + 10\/i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + 13090?\nAnswer: 13115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w + 2*w + 6*w)*(3*w - 3*w + w) + 4*w**2 - 4*w**2 + 2*w**2)*(-2 + 3 + 0).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.332 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.2 less than -0.1?\nAnswer: -30.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1336, -1333, -1330, -1327, -1324, -1321?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30649100 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(2736) + sqrt(2736) + (-1 + -1 + sqrt(2736) - sqrt(2736)) + sqrt(2736))**2.\nAnswer: -147744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -443 times 348\nAnswer: -154164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 4*j**3\/3 + 9*j**2\/2 - 21. Suppose 4*n = 2*n + 4. Let f(d) = -n + 2 + 2*d + d**2. Give -9*f(m) + 2*u(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkpppkpkpp. Give prob of picking 3 p.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 11*f**2 - 12*f + 2. Let g be k(-12). Solve -3*y = g*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*t**3\/3 + 205*t**2\/3 + 721*t\/3 + 539\/3.\nAnswer: -(t - 11)*(5*t + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 + 4*o - 2. What is the remainder when 17 is divided by b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5811 and 1664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 1105*m**4\/3 - 1591*m**3 + 6703*m**2\/3 - 1184*m + 508\/3 = 0.\nAnswer: -127, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**24\/(i**(-1))**8 assuming i is positive.\nAnswer: i**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.3. Let o = -20 - -19.66. Let h = 0.06 - o. What is the nearest to d in 1\/4, h, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:44 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -17. Let c be x*9\/2*-1. Suppose 4*f + 0*f - 252 = 0. What is the greatest common divisor of c and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3*g*p**3 - 3*d**3*p**2 + 3*d**3*p - 33*d**3 + d*p - 2*g*p + p**3 wrt p.\nAnswer: -24*d**3*g*p - 6*d**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*i = -1820, m - 5*i - 933 = -39. Let h = m + -909. Let d(p) be the third derivative of -p**4\/24 + p**3\/6 - p**2. What is d(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 87.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 0.111, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -19. Suppose -4*c = -3*c - 3*v + 9, -v + 10 = w*c. Suppose c*n - 16 = -2*g, 5*g - 20 - 3 = n. Solve 0 = 4*b + n*i - 14, 6 = -4*i - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10960?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67753289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -3*s**9\/56 - s**6\/40 + s**5\/60 - 323*s**3\/6 - 2*s**2 - 157. What is the third derivative of a(p) wrt p?\nAnswer: -3240*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11249, 25 in increasing order.\nAnswer: -3, 25, 11249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-28 - -28 - (-4 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -142)\/((-150)\/((-57)\/(-19))) + -3.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 16 = i. Put -2, -3, i in decreasing order.\nAnswer: -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*-2*sqrt(171))\/((2*sqrt(9) - sqrt(9))*5) + 0.\nAnswer: -48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, x: 4}. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (14\/4)\/(1 + 45\/(-108)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptp when three letters picked without replacement from xppt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889049.\nAnswer: 7, 17, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 3760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:37 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = -5*c + 27, 0 = -3*d - c + 33. Let q be (-2)\/(-8)*(d + 4). Let m = -2 + 2. Solve u + q*u = m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 - 9906*l**4 - 39644*l**3 - 59476*l**2 - 39654*l - 9914 = 0. What is l?\nAnswer: -1, 4957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2598408 or 4?\nAnswer: -2598408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151941627*o**5*w**2 - 61*o**2 - 32*o*w - 4*o - 88*w**2 + 3*w wrt o.\nAnswer: -9116497620*o**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62025\/13 != 4770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(18)\/sqrt(6)*-5.\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*v + 29*v + 39*v + 77*v + 45*v + 62*v.\nAnswer: 90*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5797, -249, 1?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -395*v + 386*v + 1935. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530\/357*(-2912)\/260.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/4, 2\/19, 136, -1, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -40333.48484 to the nearest 100.\nAnswer: -40300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 3, x: 2, y: 2}. What is prob of sequence xln?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4\/2 - 39*r**3 + 288*r**2 - 432*r = 0.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146538 - 93367. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = -p + 2*y, -3*p - 2*y = 11. Let q be 17 + -30 - (-15 + -3). Put q, -8, p in descending order.\nAnswer: q, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 0.06, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18074 in 6.8, -5\/14, -4?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38893 - -38891. Let l(o) be the first derivative of -5*o**3\/3 + o - 1. What is l(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -988929 + 1390868. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980082358 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10547\/20 - -2638\/5. Which is the nearest to l? (a) -24 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202576 minus 535326.7131?\nAnswer: -332750.7131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*h + 2*h. Suppose -7*i + h*i = 1308. Suppose -126 = -4*v + i. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9532557 is divided by 4766275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 80652.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61, -70, -81, -94, -109, -126?\n\"Answer: -a**2 - 6*a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j + j)*(0 + 0 + 3)*(-6*j + j + 4*j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159499619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 195035717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-18))\/(-5) - ((-77812)\/(-1176) - 83).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 11. Put 4, m, -2, -5 in descending order.\nAnswer: 4, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 36680*y + 953675. Determine a(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 2*v. Solve 2*z - 1 = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -9\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j**2 + 18*j - 6. Let t(i) = 7*i**2 - 15*i + 5. Let o(k) = 5*d(k) + 6*t(k). Let f(m) = -3409*m. What is o(f(h))?\nAnswer: 23242562*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39167620?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21746 or 21745?\nAnswer: 21746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, g: 2, x: 1, a: 3, i: 1}. Give prob of sequence xa.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -30 + 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19358 + -10446. Suppose -11788 - i = -d. Round d to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*r - 4, -3*f + 3*r + 36 = 12. Let z be (-54)\/(-63)*28\/1. Let n = z - f. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/5)\/(18\/(-840)). Suppose l - m = -2*f + 6*f, -4*l + 1517 = f. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqfntqx. What is prob of picking 1 n and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 t when three letters picked without replacement from {t: 3, o: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -619\/762 - 8\/381. Put j, 1\/6, -5, 0.6 in ascending order.\nAnswer: -5, j, 1\/6, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112732532 - 22?\nAnswer: -112732554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 0*t + 13*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292545?\nAnswer: 5, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b + 12*b - 9 - 8*b. Let k be n(-7). Solve 0 = -r - 3 + k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878850 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q - 32*q + 281 - 11.\nAnswer: -2*q + 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/198540683 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*c**2*j**3 + 32*c**2*j + 2*c*j**4 - 40*c*j**2 - 12*c*j wrt j?\nAnswer: -468*c**2*j + 24*c*j**2 - 80*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38 and -77128272.3477.\nAnswer: -77128310.3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**23)\/z*z)**(-2\/7)\/((((z\/z**8)\/z)\/z)\/z**26) assuming z is positive.\nAnswer: z**(195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2712681456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1890 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9133274 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(9\/2) - 5\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/12331 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -61, -55, -53?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155.1 + 155. Which is bigger: 4\/9 or o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0635048622 to 5 dps.\nAnswer: -0.0635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 6*s + 9. Let l(b) = -b**3 - b**2 - b + 5. Let j be l(0). Suppose t + 13 = -5*n, 4*t + 2 = -j*n + 10. Calculate q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -4.2. Let h = 4.30344 + g. Round h to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {t: 2, f: 6, x: 1, n: 3, e: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:10 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177660 is divided by 25378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -77*v**2 - 8*v + 40. Let l be z(16). Round l to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3566 + 3569. Solve 2*d = m*w - 2*w + 2, d = 3*w + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4805856 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -83. Suppose -4*l + 0*z + 5*z + 187 = c, 3*z + 144 = 3*l. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/5)\/((d**(4\/7)\/d*d)\/d*d))\/(d\/(d*d**5*d*d)*d*d**(-6)*d))**(-1\/6) assuming d is positive.\nAnswer: d**(-193\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 239 = -4*q - w + 59, -26*q + 3*w - 660 = -8*q + 6*w for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 587350084207?\nAnswer: -587350084207.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:19 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -35. Suppose -5*p - l + 12 = -26, -p - 3*l = -d. What is the lowest common multiple of p and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - d. Let v be o(2). Suppose -3*p + 2*t + 100 = 0, p - v*p + 28 = 2*t. Differentiate 14*y**3 + 4 + 28*y**3 - p*y**3 with respect to y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, 2\/27, 1197?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*o - 131. Suppose 0 = -5*d, -4*h - 2 = 3*d - o. Suppose a = 2*y - 33, -2*y - h*a + 48 = -3. What is the least common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1749, 1781, 1813, 1845, 1877?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 25 = -10. Suppose 0 = -b - p*l + 1 + 1, -l - 140 = -5*b. Calculate the remainder when 75 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 15*a**5 - 845*a**4 + 5370*a**3 + 206940*a**2 - 72760*a - 138720 = 0.\nAnswer: -12, -2\/3, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -225*u - 56. Let o(y) = -2924*y - 714. Let m(k) = -4*o(k) + 51*z(k). Let j(w) = -6*w. Calculate j(m(n)).\nAnswer: -1326*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/5, -168, -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 21 + (-12)\/2. Suppose -o*p - 17 = -55. Solve -x - 3 = p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 42*q**2 + 19*q - 89. What is the hundreds digit of t(42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**3 + 5*l**2 + 4*l. Let h(g) = -g**2 + 50 - g - 50. Let m(y) = -4*h(y) - j(y). Let k be m(1). Put k, 3\/4, -2\/7 in increasing order.\nAnswer: -2\/7, 3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + 2*h**3 - 57 - h + 2*h**2 as i + v*h**2 + c*h + z*h**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -962*t = -937*t + 79 - 29. Let j(s) be the first derivative of -1\/2*s**2 - 2*s + 2 - 1\/3*s**3. Give j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 11 + (3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 7*y + 3*y, 5*o = -3*y + 34. Solve 3*z - 5*u = -17, -o*z - 3 = -3*u + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12720, 24748, 36084, 46728?\nAnswer: 56680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 + 3)*(-2*t - 2*t**2 + 2*t)*(0*t + 2*t - 4*t).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*r**2 - 424*r**2 + 206*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 - 1 - ((-2332 - -2384) + (0 - 34))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.63 - -0.37. Let m = -421.2531 + 438.252784. Let c = r - m. Round c to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))**(1\/11)\/((u*u**(-1\/5))\/((u**(-4\/7)\/u)\/u)) assuming u is positive.\nAnswer: u**(-118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 24*w**3 + 19*w**3 - 10 + 10.\nAnswer: 43*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947737 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - 102\/(-30). Let u(p) = -p. Let c(k) = 3*k + 1. Let y(t) = n*c(t) + 5*u(t). What is the first derivative of y(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 198061 and 0.1?\nAnswer: 198060.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 + (-19 - -28) - -42) + 19 + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -276. Let y = -147 - u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53.08 + 46.08. Put -3, j, 2, 1\/3, -1\/10 in ascending order.\nAnswer: j, -3, -1\/10, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let d(s) = -3*s - 6. Calculate w(d(g)).\nAnswer: 3*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 0*l - 4*l. Let k(r) = r**2 - 5*r. Let w(b) = b - 6. Let g be w(3). Let d(a) = 3*a. Let t(u) = g*k(u) - 5*d(u). Give p(t(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -268.1, 2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444419366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002200122020 (base 3) to base 8.\nAnswer: -2165312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 4954*m**3 - 4647128*m**2 + 4954*m + 4647129 = 0. What is m?\nAnswer: -3697, -1257, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and 19523371.6814.\nAnswer: 19523380.6814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103 (base 7) to base 14.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 0*u + 7*u - 5*u + (-u**3 + u**3 + 2*u**4)*(-2 - 1 + 2) - 3*u**4 + 3*u**4 - u**4 in the form l*u**3 + v*u**2 + w*u**4 + k + i*u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u + 1. Let r(a) = -3*a + 1. Suppose 14*k = 3*k + 22. Let z(i) = -10*i - i**k - 235 - 8*i + 206. Let h be z(-16). What is h*d(c) - 5*r(c)?\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 53688 - 12828 = 0. Let d = 360307\/65 - t. What is the common denominator of -6\/7 and d?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1261196, 5044740, 11350638, 20178890?\n\"Answer: 1261177*v**2 + 13*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -46. Suppose -n - 10 = 3*d, n + r = -2*d - 6. Sort -3, 0, n, 1 in ascending order.\nAnswer: n, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-11)\/((-22)\/(-5)))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(1 - 1 - 5) + 2906*p + 2048*p - 2927*p - 2*p + 0 + 0.\nAnswer: 2020*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -14*a + 20. Suppose -2*o - 2844 = -4*i, 12*o = -a*i + 8*o + 2155. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.136 - 1.136. Is o >= -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186395 by 340.\nAnswer: 37279\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 22*t + 24 = 18*t, -3 = -3*p + 3*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 3*f + 29 + 34)*(-3*f**4 - f + f).\nAnswer: -9*f**5 + 36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485724271?\nAnswer: 37, 13127683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14*12\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h + 12. Let z = -132 + 132. Determine m(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 15*m + 63. Let z be b(6). What are the prime factors of (-690)\/z*(-1656)\/115?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 61 = -2*p + 5*c, c + 95 = -4*p. Let t = -17 - p. Suppose -2*h - t = -3*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 35. Suppose 8 + f = 2*z. Let o = 375 + -345. What is the greatest common factor of o and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 511*f**2 - 17272*f - 56470. Give b(543).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 149914.088 to the nearest 10.\nAnswer: 149910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 568.4, 6, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87953, 161006, 234047, 307070, 380069, 453038?\nAnswer: 525971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2198676.\nAnswer: 2, 3, 43, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1370, 1374, 1380, 1388, 1398?\n\"Answer: i**2 + i + 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58837641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3021 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (7077 - 1439 - 8500 - 4269)*(3*q - 3*q + 5*q)*(-1 + 2 - 2) as n + v*q and give v.\nAnswer: 35655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-3))\/((-2)\/(-6)). Let d be (-4)\/3*45\/(-210). Let k = -5 + 3. What is the nearest to d in k, -2\/13, v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24921 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1051165.3*-25.\nAnswer: -26279132.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-4)\/1 + 2). Let f(q) = q**3 + 4*q**2 + 2. Let v be f(-4). Let j = v + h. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110100 (base 2) in base 15?\nAnswer: -2bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 47*b + 36*b - 5*b**2 - 89*b - 2*b**3 - 4. Let j be n(-2). Let z be 28 - (4 - 2 - 2). Calculate the highest common divisor of z and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -4*d**2 + 2*d - 2. Suppose -1 + 3 = -t. What is the smallest common multiple of 8 and w(t)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1380)\/(-63)) + (-122840)\/(-9960).\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 41. Suppose 3*t + t = l. What is the third biggest value in 4\/9, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8440112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, -3\/16, -3\/7, -23?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1260 + 1260 + 105*l**2. Let j(a) = a**2. Calculate b(j(n)).\nAnswer: 105*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-24)*-6)\/4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012.1 + 1.3.\nAnswer: 1013.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4434060 and 126.\nAnswer: 93115260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9143 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33483 less than 0.067132061?\nAnswer: -0.267697939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 945 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 - 3.1. Let n = -0.745 - 0.83. Let i = c - n. Round i to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 6:38 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42471 is divided by 5531?\nAnswer: 3754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -26 - (0 - (-5 - (1 - 3))) - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 2. Let k be (-3192)\/(-27) + 2 - (-2)\/(-9). Let d be (96\/k)\/((-2)\/20*2). Let t(o) = -2*o - 2. Determine d*t(b) + 3*s(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-692)\/(-264) - (-2)\/(-3)) + -63 + 61?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -85, -5 in increasing order.\nAnswer: -85, -7, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 2144556.\nAnswer: -2144556","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 344320 rounded to the nearest one thousand?\nAnswer: 344000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*d + 3135 = 455*d + 587 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20475 + 22?\nAnswer: 20517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -149, 1, -30.\nAnswer: -149, -30, -12, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhy when three letters picked without replacement from {q: 1, y: 1, h: 10, m: 7}?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 15 - 2)*(50 - 50 - 5*v).\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*j + 106*j + 5 = 0. Suppose 0 = -3*d - 3*m + 1188, -j*d + 880 = 3*m - 1100. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scss when four letters picked without replacement from {c: 1, s: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 317 (base 11) to base 13\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let w(o) = o**2 + o + 2. List the prime factors of w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/8 (c) 31 (d) -135 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 51, 20, 250 in increasing order.\nAnswer: -2, 18, 20, 51, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4807989 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 209489, -1\/11, -7 in ascending order.\nAnswer: -7, -0.1, -1\/11, 209489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 363591, 1454190, 3271857, 5816592, 9088395, 13087266?\n\"Answer: 363534*a**2 - 3*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 0.2930182.\nAnswer: -6.1533822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 - 5)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21693, 43480, 65255, 87018, 108769, 130508, 152235?\n\"Answer: -6*i**2 + 21805*i - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 22 = -k - 27, -k + 3*b + 10 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 3:35 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**9\/25200 - l**8\/5600 - l**4\/12 + 6*l**2 - l + 58. Let h(r) be the third derivative of f(r). Suppose h(n) = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, -2, 72?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*a**5 + 2 - 3*a**5 + 2*a**5 + 3*a**5 - a**5 + 6*a**5 - 3*a**5 + (4*a**3 - 2*a**3 - 3*a**3)*(a**2 - 2*a**2 + 2*a**2) + a**5 - 2*a**5 - a**5.\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 8*i - 55 - 22*i + 13*i - 21*i + 4*i - 3*i - 2*i - 4*i - 4*i + 5*i + (i - 2*i + 3*i)*(0 + 1 + 0) to s*i + a and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - z + 63 - 61, 0 = -3*h - 4*z + 8. Which is the nearest to -1? (a) -5 (b) h (c) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**4\/9 + 2*k**3\/3 + 242*k**2\/9 + 20*k\/3 = 0. Calculate k.\nAnswer: -5, -1\/4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90721041 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/4 - 4\/(-8). Put 2, y, -5 in increasing order.\nAnswer: -5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11091*t**2 - 3*t - 1. Is s(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a**2 + 663 + 661 - 1324.\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67769*g + 172 = 67788*g - 227 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -1488, 1\/16, 0.3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5890055*o**3 + 338887*o + 8 wrt o.\nAnswer: -35340330*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 287260 divided by 53?\nAnswer: 5420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 212, 289, 404, 569?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9707489 and -951.922?\nAnswer: 9708440.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22807.\nAnswer: 22807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1060 and 29660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -7\/7519581 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*-2 + 1. Let p(t) = -t**3 - t**2 + 2*t. Let v be p(n). Let s be (2 - (2 - v))\/1. Solve m - 5*m - 16 = s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(108) + sqrt(108) + sqrt(108)*-2 + sqrt(3)) - (sqrt(20) + (sqrt(20) - (sqrt(2880) + -3*sqrt(2880))))\/sqrt(4))**2 + -3 + 3.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36141 and -119\/30.\nAnswer: 361410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(600)*-6*-6)\/(-1*-6*(1*sqrt(392) + sqrt(392))*-6).\nAnswer: -15*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -209554*r**2 - 1112*r**3 + 209554*r**2 + (r**2 - 3*r**2 + r**2)*(2*r - 6*r + 2*r) - 5*r + 4*r**3 + 5*r as h*r + s*r**2 + w + y*r**3 and give y.\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 11*x**2\/2 - 22*x + 87. Let a(f) = f**2 + 10*f - 4. Let s be a(-11). Is z(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v - 9*v + v**2 + 5*v. Let o be (1225\/14)\/7*(-12)\/(-5). Let g(w) = o*w + 23*w - 14*w. Determine s(g(a)).\nAnswer: 1521*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h. Let z(a) = 50*a - 3*a + 3 + 42*a. What is i(z(d))?\nAnswer: -267*d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + 0 - (1\/(-1) + -39) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -157 (b) -16.4 (c) 763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g**2 - 4. Suppose 0*u + 6 = -5*u + f, 4*u + 5*f = -28. What is the smallest common multiple of j(u) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8082.481 tonnes?\nAnswer: 8082481000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35918845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -91, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -20. Suppose -4*x = 16, 3*w + u*x + 104 = -15. Let f be 6\/(-21) + w\/(-7). Solve -2 + 13 = -4*y - f*q, -y - 3*q - 1 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peppypeeeeeeyepe. Give prob of picking 1 e and 2 y.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 25. Let d = -109\/180 - 7\/36. What is the nearest to y in d, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let j = l - -2.1. Let z = 173 - 174. Put 0.2, z, j in descending order.\nAnswer: 0.2, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/60 + k**4\/24 + 5*k**3\/6 - 5*k**2. Let y be c(0). Suppose -y*m + 60 = -0*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**4 - 57*l**3 + 66*l**2 - 24*l.\nAnswer: 3*l*(l - 2)*(l - 1)*(5*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 7) to base 14.\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g + 42*g - 18*g - 404 = 0. Sort -0.1, g, -5\/3, 2\/3, -1\/3 in increasing order.\nAnswer: -5\/3, -1\/3, -0.1, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2144547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3)**(17\/3)\/(n**(-1\/6)*(n\/((n\/(((n*n\/(n*n**(2\/11)))\/n*n)\/n))\/n))\/n))**(-38) assuming n is positive.\nAnswer: n**(-21755\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2120782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4700, 4334, 3718, 2846, 1712?\n\"Answer: -h**3 - 119*h**2 - 2*h + 4822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -80?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20264 is divided by 172.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3737 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -318697754 to the nearest 100000.\nAnswer: -318700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11322 + -101132?\nAnswer: -34310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 1. Let j(z) = 13*z + 12. Let x = -19 + 63. Let u be 4*1\/((-8)\/x). Calculate u*i(p) - 2*j(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1796\/10945?\nAnswer: -1796\/10945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/16, 0.8, -5\/2, -1 in decreasing order.\nAnswer: 0.8, -1\/16, -1, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**5\/60 - 35*c**3\/6 - 4*c**2 + 10. Let d(g) be the second derivative of j(g). Let o(t) = t**2. Calculate o(d(v)).\nAnswer: v**4 - 70*v**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(54)\/sqrt(2))\/sqrt(9))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 28. Let m = 9 - d. What is the nearest to m in 4, -1\/24, 2\/9?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 + 26*u**3 - 13*u**2 - 26*u + 16 = 0.\nAnswer: -1, 2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 105, -1, -83, 20, 5 in ascending order.\nAnswer: -83, -7, -2, -1, 5, 20, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64 + 0 - (8 + -5). Does 19 divide i - 8*3\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 51*x + 255. What is i(-17)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16595 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 76 = -0*c - 4*y, -2*c + 39 = y. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-12) - (-502149)\/51066.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21585, 21572, 21549, 21510, 21449?\n\"Answer: -j**3 + j**2 - 9*j + 21594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 6. Let m(x) = -x. Let y(z) = 2*z. Let o(h) = 3*m(h) + 2*y(h). What is o(r(a))?\nAnswer: -2*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 19*r**2 + 48*r - 357. What is the hundreds digit of u(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l + 8. Let s be f(1). Suppose -2*v + n + 7 = s, 8*n - 10*n = 3*v - 21. Solve 5*i - v*c = -20, 3*i - 2*c - 23 = -6*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43553557 = -3*o + g + g, -2*o - 2*g = 29035708. Let p(q) = 2035574*q - 17. Let k be p(5). Let z = o + k. Round z to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 28947 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3573709831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17352 - 17388 = 965*q for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 1425*f + 98532.\nAnswer: 3*(f + 84)*(f + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + d + 172203 - 172194 = 0, p - d = -11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13240223 (base 5) to base 10.\nAnswer: -133813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:40 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*g - 7*q + 39, -3*q = -g + 15. Suppose -1 = -5*r + g. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -5*o**3\/3 - 10*o**2 + 22*o. Find the common denominator of -35\/2 and c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2882675 (base 9) in base 3?\nAnswer: -2222202202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.8 + 263.2. Let i = -308 + s. Which is the third smallest value? (a) -0.68 (b) -4 (c) i (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 63 - 50)*(0*z + 0*z - z**3).\nAnswer: -74*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, w: 6, x: 5, y: 4}. Give prob of sequence ywwx.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1547*s - 10802. Let x be m(-7). Solve -x*p = -22*p + 2*h + 23, -3*p - 14 = h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 15*r**2 - 44 + 8*r**2.\nAnswer: r**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61.984952091 - 3208513.014537909. Let x = o - -3208604. Let u = 29 - x. Round u to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 1*(sqrt(153) + (-2*sqrt(153) - sqrt(153))) - sqrt(153))\/(sqrt(18)\/sqrt(32)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9941216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = -75*r - 619 - 417 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(3) + sqrt(3) + -1 + -5) - (-4 + sqrt(3) + sqrt(3) + 0 - (sqrt(12)\/(sqrt(4) - sqrt(36)) - sqrt(3)))).\nAnswer: -81*sqrt(3) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 9*p + 19. What is g(12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/5)*m**(-2\/5))\/((m\/(m**(4\/7)\/m)*m)\/m**(5\/6)) assuming m is positive.\nAnswer: m**(-377\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 8*j + 4*r + 8*r + 27, 5*j = 2*r - 12 + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - q + 0*q)*(-1 + 4 - 1)*(-6 - 8*q + 6) to b*q**2 + v + r*q and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 3435*d - 13753. Give w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 53*k + 637. Let b be g(-12). Calculate the highest common factor of 83 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6690 - -2295?\nAnswer: -4395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u + 64*u + 4*v = 4, u = 5*v - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9060, -14589, -20120, -25653, -31188?\n\"Answer: -s**2 - 5526*s - 3533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*l**6*y + 2037*l**2*y wrt l.\nAnswer: 9240*l**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1902 + -1901.9. What is the third biggest value in l, 20, 0.5, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -3 (c) -2\/3 (d) 435 (e) 15 (f) 82\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 94*h - 119*h - 15*h.\nAnswer: -226*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 18*n**4\/7 + 148*n**3\/7 + 158*n**2\/7 + 4*n = 0.\nAnswer: -7, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*f + 14 = 0, -3*j = -8*j + 4*f - 10. Let v be (3\/j*-10)\/1. Solve -20 = 3*l + h, 2*h + 35 = -v*l - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9*p + 2*u - 48, u = 3*p - 31. What is the remainder when 340 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 19 + 16 - 5*f**2 - 13*f**3 + 7*f**2 to the form a*f**3 + x + j*f**2 + u*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**4\/4 + a**3\/3 + a**2 + a. Let v = 1181 - 1179. Let t(p) = 7*p**2 - 5*p - 5. What is v*t(o) + 5*y(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931) + -1.\nAnswer: -1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 74*m**2 - 55*m - 1526. Calculate i(75).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 2*g**2 + g - 1. Let a be d(2). Let y be (-26 - -4) + 2\/1. Is ((-55)\/y)\/(a\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14940 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343668?\nAnswer: 2, 3, 13, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 9:35 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x + 16 = 3*t, -3*x = 15. Which is the biggest value? (a) -0.6 (b) -1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 5, -5 in descending order.\nAnswer: 5, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -9.2\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -27) + 23 - (1 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 374565677*v + 698414610.\nAnswer: 374565677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*p - 17. Solve 5*h - 4*c + 29 = 0, -2*c - p = 5*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 254913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*u**3 + 232*f**2*u - 397*u**3 + 2 wrt f?\nAnswer: -4*f*u**3 + 464*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 1 - -1*(sqrt(19) + -1*sqrt(19)).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 - 5*m**2 + 3*m + 14. Let v(o) = 4*o**3 + 4*o**2 - 2*o - 15. Let y(b) = -5*u(b) - 4*v(b). What is y(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404294893.\nAnswer: 37, 47, 232487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2484*u + 2435*u - 784 = 0 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -20 - (2 + 0)) + -6 + 28 + -17\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**11*q)\/(q**(-12)\/q) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 532684 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, r: 1, v: 2, e: 3, s: 3}. Give prob of sequence evr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 2*h**2 + 5*h**2)*(-5*h**2 + 4*h**2 + 3*h**2) + (2*h + 2*h**2 - 2*h)*(-3*h**2 - 5*h**2 + 11*h**2) + h**4 + 3*h**4 + h**4.\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-56)\/308?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1363, 1386, 1407, 1426, 1443?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 19 = x, 3*x - 2*x = -2*m - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406732029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 3*l - 4. Let d be 0\/((9 + 0)\/(-3)). Suppose d*s + 3*s = 6. Let b(n) = 7*n**2 - 7*n + 9. What is s*b(g) + 5*k(g)?\nAnswer: -g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1174 and 1900706.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110111001 + 1000101001110?\nAnswer: -10100001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(5\/9)*n*n\/n**24)**(-4))**(3\/4) assuming n is positive.\nAnswer: n**(193\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12721962.\nAnswer: 2, 3, 11, 192757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*y**2 - 94*y + 44.\nAnswer: -2*(4*y + 11)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*w + 39, 4*a = 5*a - 5*w + 7. Suppose 0*f = -4*f + a. Suppose -n - f*n = -11100. What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562.4795 + -562. What is h rounded to 2 dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19124, 76494, 172110, 305972, 478080, 688434?\nAnswer: 937034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -5, 3 in decreasing order.\nAnswer: 3, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 28?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 17*g - 106, -21*r + 0*g = -19*r - 4*g + 45 + 11 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38a + 2?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135398557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z + z - 4*z + 1)*(4 + 4 - 7 - z).\nAnswer: -9*z**2 + 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26861899 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1735984153 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71373 is divided by 526.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 8.292 (c) 3 (d) 0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4199 is divided by 171.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -0.42. Let k = 2 + -1.9. Let n = k + h. Which is the nearest to -1\/2? (a) 4 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-147)*5)\/1*(-36)\/(-1560).\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1223, 2582, 4045, 5612, 7283, 9058, 10937?\nAnswer: 12920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 - 5*p - 4. Let s be w(5). What is the lowest common multiple of 5 and (-6)\/s*4\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8*v - 5 = 7*v, 3*b = -v - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -525*s**3 + 7*s**2 - 56*s + 5. Let m(q) = -527*q**3 + 8*q**2 - 61*q + 6. Let g(p) = 5*m(p) - 6*v(p). What is the third derivative of g(j) wrt j?\nAnswer: 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3.476 (b) -4 (c) -1.865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n - 5. Let x(t) = 35*t - 14. What is 8*v(w) - 3*x(w)?\nAnswer: -9*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061433 rounded to four decimal places?\nAnswer: -0.0614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 490 = -5*i, y + 3*y - 16 = 0. Let v = 287\/3 - i. Let r be (-2)\/110*23 - (-16)\/(-88). Sort v, r, 2 in increasing order.\nAnswer: r, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (105\/(-45) - (-2)\/(-3)) + 119. Let t = -233\/2 + x. Which is the nearest to -9? (a) 4 (b) t (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/7 - 880*d**3\/7 - 168234*d**2\/7 - 333832*d\/7 - 166477\/7 = 0. What is d?\nAnswer: -601, -277, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269063 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.26?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*x - 45*x - 84 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -4. Let a = -39 - 27. Let n = a + 69. Solve -w - f = -n*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*h = 5*h + 18*h - 184 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 11*z - 17. Let i be r(7). Let t = i - 11. Solve t*o - 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 767*r + 1651*r - 113*r + 931*r as d*r + a and give d.\nAnswer: 3236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4710\/(-100) - -47)\/(((-12)\/10)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -220542 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3583724200 to the nearest one million.\nAnswer: 3584000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {c: 1, z: 4, r: 10, k: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:07 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 7, s: 2}. Give prob of sequence ps.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1831954 and -107\/6?\nAnswer: 5495862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-2\/37)*s)\/s)\/(s\/(s\/s**(-6))))\/(((s*((s*s\/s**(3\/11))\/s)\/s)\/s)\/(s\/s**(-1\/12))) assuming s is positive.\nAnswer: s**(40547\/4884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 252 - 247 = -5*d, -50 = -4*d - 5*o. Put -1, d, 61, -3 in descending order.\nAnswer: 61, d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlw. Give prob of sequence ww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/4? (a) -3 (b) -3121 (c) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/140)\/(((-864)\/315)\/(-16)*378\/(-810)).\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -89281586 divided by 2?\nAnswer: -44640793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0113866 and 1.\nAnswer: 0.0113866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttetttettttettettet. Give prob of sequence eeee.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m**2 + 5*m + 3. Let i be v(-1). Solve -b - 4*b = a + 25, 0 = 3*b - 2*a + i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 - 5*v - 17. Let r be m(-2). Put 1, r, 8 in descending order.\nAnswer: 8, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13424 + 1.23696. What is s rounded to two dps?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-132))\/(14\/(-504)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323040 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26261.00005154 - 26261. Round f to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 4 - -1) + -10 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 18509477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10617*k - 407. Is o(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2 - (0 + 2). Suppose 0 = x + 6 - 5. Let h be 1 - x - 36\/30. Sort h, 0.3, w in increasing order.\nAnswer: w, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1014)\/((-182)\/(-14)))\/((-52)\/26).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 44 + (35 - 13) + -45 - 79?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13189 = -0*i + 5*g, -3*i + 13181 = g. Suppose 4*d - i = -d - 4*j, -3*d + 4*j = -2623. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -197854\/11 and -17988 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/3 - 3*j**2\/2 - 6*j + 2. Let g be f(-4). Let n = 17 + g. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29007 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 49. Suppose 5*r - o - 10 = -a, -5*o = -r + 11. Let m = 60 - r. Calculate the greatest common divisor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n + i, -n + 4*i + 18 = -0*n. Solve n = 5*s + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(448) - (0 + sqrt(448))**2) + 3 - (sqrt(448) + -1 + 5) - -4*(sqrt(448) + (-5 + (sqrt(448) - (0 + sqrt(448))))**2)).\nAnswer: -128*sqrt(7) + 1396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 45 = -32*z. Let m(t) = -286*t**2 + 77*t - 77. Let u(x) = -15*x**2 + 4*x - 4. Give z*m(n) - 77*u(n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39809, 79718, 119627, 159536, 199445?\n\"Answer: 39909*c - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7597, -7643, -7689?\nAnswer: -7735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.06, -5, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 8*f + 14. Let u(j) = -6*j**2 + 2*j - 2. Let i be u(1). Let g be n(i). Let m(a) = 8*a**g - 6*a**2 + 5*a**2 - 1. Give m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/89 + 820\/801. Let v(w) = w**3 - 14*w**2 + 64*w - 341. Let y be v(11). Is y <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -89, -165, -271, -407, -573?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 100637667, 201275333, 301912999?\n\"Answer: 100637666*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53451 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9969779 times -1.2\nAnswer: 11963734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-24) + (-2)\/12. What is the closest to f in -9\/2, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354770233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: d9 (base 15) to base 6\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 0, 2*l - 18 = l + 4*a. Let f = -22 + l. Suppose -4*k + j = -0*j - 13, 4*j + 19 = 5*k. Sort f, k, 4 in ascending order.\nAnswer: f, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*i + 22*i = -48*i - 17*i - 520 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:48 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -4*o, 5*o - 5*x = 1 - 16. Let k = -5490 - -5563. Suppose -o*q = -109 - k. List the prime factors of q.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 64 - 10. Let t = i - -13. Let b = t + 8. Solve -5*u + 3*a - 16 = 0, 0 = -b*u + 3*a + a - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 313 = -66*n. Suppose -17 = -a - 5*y, 4*a - a - 12 = -2*y. Suppose -n*j + 14 = -k, k - a*j = 1 - 9. Sort -5, k, 2.\nAnswer: -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/((-38)\/12))\/(2 - 1). Suppose -v = 3*l, -y - 5*l - 350 = -5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/10 - -1 - 0. Let y = 0.56 - 0.96. Which is the smallest value? (a) y (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/14)\/(13*30\/(-4095))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = -i + 8, 5*i + 5*b = 20. Solve -5*a = 3*h - 14, 5*a - i*h + 7 = -0*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.9966 decades in centuries?\nAnswer: 44.39966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 36. Let t be 2\/3*(-105)\/(-10). List the prime factors of q(t).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1383.8 - 1384.8. What is the biggest value in 0, 1\/2, v, 8, -2\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 122319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z*z\/z**15)\/z)*z))\/z**(-1\/21)*z\/(z**(-15)*z)*z*z*z**(5\/3) assuming z is positive.\nAnswer: z**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -8231005256823?\nAnswer: 8231005256817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 11, f: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -360354, -720710, -1081068, -1441428, -1801790?\n\"Answer: -d**2 - 360353*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 10*l**2 - 10*l + 7. Let z be v(9). Let o(r) = -3*r - 4. Let k be o(z). Solve 3*m = k + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*i = 5*u + 9, 0 = -4*u + 3*i - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = 0, -3*l - 3*l = -5*m - 11*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n + 2. Let r = -139 - -138. Let b be k(r). Solve 4*q = 27 - b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 minutes after 7:23 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u - 5*s = -10, -5*s = -4*u + 8. Suppose -6*x = -a - 3*x + 36, -3*a - u*x = -141. Calculate the common denominator of (-16)\/(-9) + 2\/3 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337841 is divided by 67513.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 + 644*d**2\/11 + 1430*d + 100048\/11.\nAnswer: 2*(d + 13)**2*(d + 296)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -4, 2, -7122, 4 in descending order.\nAnswer: 4, 2, -4, -87, -7122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(175)*-5 + (-3 + sqrt(175) + -4)**2.\nAnswer: 5*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*-34*(-48)\/5712?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euyyzeeyyyyy. What is prob of sequence uy?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(180) + 2)*-2)**2 + 1)*5*-3.\nAnswer: -397455 - 51840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 26388 - 583 = 0. Let c = 17603 - u. Let t = c - 248767\/20. Find the common denominator of t and 1\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.14 + 0.66. Which is the second smallest value? (a) -1 (b) -1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6711, 13429, 20151, 26877?\nAnswer: 33607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*l = -495*l + 15840 for l.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - -5) + -5 + -4 - -24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 6*f + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**3 + 49*g**2 - 18*g - 47. Determine u(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.617 * -47.6.\nAnswer: 410.1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1724*d**2 - 1445*d**2 - 1970*d**2.\nAnswer: -1691*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - 54*t + 54*t + (4 + 0 - 3)*(4*t**3 - 1 + 1) + t**3 + 0*t + 0*t + 2*t**2 - 4*t**3 - 2*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 9*z + 13. Let u be w(5). Let o(s) = -s - 14. Calculate o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 12*a**2 - 16*a - 38. Let s = 67 - 47. What is the remainder when o(-6) is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4509452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020222102 (base 3) to base 12.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**3 + 2010*x**2 - 13*x**3 - 19*x**3 - 4035*x + 22*x**3 + 1868 + 152.\nAnswer: 5*(x - 1)**2*(x + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.823949 litres?\nAnswer: 3823.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 191\/(-7) + 8\/28. Let q be (-1)\/1*(-400)\/y. Let h = 28 + q. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 340*q**4 + 2148*q**3 - 3292*q**2 - 1408*q + 4368 = 0. What is q?\nAnswer: -91, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*s = 7089, -q + 29*s + 1427 = 24*s. Is 109 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33363583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/3 - 30*h**2 + 1763*h\/3 + 1298 = 0. What is h?\nAnswer: -2, 33, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a milligram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 13. Let a(l) = -9 + 42 - 16 + 7*l - 17. Determine a(g(i)).\nAnswer: 21*i + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/192 and 35\/8019.\nAnswer: 513216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1948 + 1863 = f - 2*h, 3*h - 11469 = -3*f. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3674 + -3661.618. Let w = -0.018 - v. What is w rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/30 + 5*a**4\/12 - 7*a**3\/3 - 10*a**2. Let n be w(6). Let y = -18 - n. Calculate the highest common factor of y and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, q: 5}. What is prob of picking 3 q?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 79 - 62 + y**2 - 16. Let s(i) = 3*i**2 + 2*i - 2. Suppose -10 = -2*p - 3*p. Calculate p*b(u) + s(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-44)\/297)\/4\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55684*n - 10 - 55691*n + 10.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwiilil. Give prob of sequence illw.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*m = 42, 5*m + 1 = 6. Let v be (-2 + 3 + y)\/3. Solve 2*i - i - 5*u = 5, -5*i + v*u = -3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*f - 25*f - 2348715 + 233329 = 0. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 34 - 3*u + 34)*(2*u - 2 + 5 + 20) to the form k*u**2 + h*u + z + r*u**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 39865?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) - sqrt(11)*-1)**2) + 2 - (sqrt(66)*-1 + sqrt(66))\/sqrt(6) - (sqrt(1331) + 1 + 5).\nAnswer: -48 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6*(-8)\/2. Let q be 0\/3*(-1)\/z. Determine s, given that 0*s - 2\/7*s**4 - 2\/7*s**5 + q + 2\/7*s**3 + 2\/7*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 11597, 1, 0.4, -7, 4, 0.2 in decreasing order.\nAnswer: 11597, 4, 1, 0.4, 0.2, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461349568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.17 (b) -4 (c) 0.2 (d) -13 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - o**4 - o**5)*(9 + 0 - 1) + (4*o**3 - 2*o**3 + 0*o**3)*(-3*o + 2*o**2 + 3*o).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r**2 + 1082*r + 14357. Calculate m(-105).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 39*i - 214. Let c be v(32). Let m(b) = 2*b - 14 - b + 11. What is the remainder when 139 is divided by m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y + 7277 = -173*y - 143*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -74*i + 29. Determine n(-2).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3470 + 114*l**2 - 10292 + 3364 + 3458 - l**2.\nAnswer: 113*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3888 and 1312.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + c**2 + 0*c**2)*(-5 + 2 + 5) + (1 - 2*c - 1)*(0 - c + 0) - 1802 + 1802 + 973*c**2 as j + p*c + t*c**2 and give t.\nAnswer: 973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00185 * -0.3.\nAnswer: 0.000555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**5 - 95*v**4 + 310*v**3 - 380*v**2 + 40*v + 160.\nAnswer: 5*(v - 4)*(v - 2)**3*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136.8 * 3.\nAnswer: -410.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 15*s**4 - 9*s**3\/4 - 45*s**2 - 93*s\/4 + 9\/2 = 0.\nAnswer: -1, 3\/20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 + 1464*b**4 - 537286*b**3 + 1070184*b**2 - 534361*b = 0. What is b?\nAnswer: 0, 1, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 178*h - 7533 + 34076 = 0. Which is the nearest to h? (a) 2\/7 (b) -0.05 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = 3. Let n be y\/6 + 4\/(-3). Let l(f) = 16*f - 9. Let v(p) = -8*p + 5. Let m(u) = -6*l(u) - 11*v(u). What is m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((7 - -1) + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 2. Let a be (-1754)\/z - (-4)\/50*-5. What is the greatest common divisor of a and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -236, -260, -284, -308, -332?\n\"Answer: -24*s - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1661098.59934 and -5.\nAnswer: -1661103.59934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p - 3*p. Suppose 0 = 3*s - 4*s - 2. Put p, -10, s in increasing order.\nAnswer: -10, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -92, -94, -76, -44, -4, 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -2447.\nAnswer: -489.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {p: 1, e: 1, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4578 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -28. Suppose l*s + 28 = 10*s. Let f(t) = t**2 + 4*t + 7. What is the remainder when f(-5) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26252 + 26252. Let r(c) be the third derivative of 29*c**2 + 0*c**3 + o*c**4 + 0 + 0*c + 1\/60*c**5. Let j(z) = -z - 34. Determine j(r(w)).\nAnswer: -w**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f - 2094 = -316*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Let q = -44117 - -1720760\/39. Let y = -44\/13 + q. Which is the nearest to -2? (a) f (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04954 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/8)\/(1\/(-4)). Let n(r) = 3*r + p - 2*r - 2. Let j be n(6). Solve -5*k + 4*i + 2 = 3, -j*i - 1 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 50139?\nAnswer: 50139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - a - 1 - a**4 + 6*a**2 - a**4 + 4*a**3 + 3*a**4 + 4 as b*a**2 + j*a**3 + f*a**4 + m + g*a and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*t - 58 = -467*t + 231*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -515451?\nAnswer: -515503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:30 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.989 - -0.011. Let m = 13 - 13. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 - 18640666*g - 86868607230889 = 0.\nAnswer: -9320333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7949*k*n + 167*k + 24 wrt n?\nAnswer: -7949*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588125 and 625.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37770 is divided by 284.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1332, 2645, 3958?\nAnswer: 5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -67340.8429 and 13378?\nAnswer: 80718.8429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1 + (-8 - -2). Let c be (22\/(-11))\/((-2)\/b). Is ((-26)\/c)\/(2\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -2.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 1, j: 2, s: 6}. Give prob of picking 2 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-76)\/(-1) - (-8 + -3 + 8) and 11.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -434 in -83, -2, 3.4?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5082 and 19833?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480004 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.7 - -10.9. Put 1, u, 1\/9, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, 1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240\/889 - 2\/127. Let p = 5.373 + -0.373. Which is the third smallest value? (a) -0.1 (b) p (c) -1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*h = 200, -2*t = 2*h + 71 + 29. Let g be (4 - (-147)\/(-30))*t\/12. Which is bigger: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let u(z) = z**2 - 240*z. Calculate u(x(i)).\nAnswer: i**2 - 240*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1421 + 1529*l**2 - 2943 + 1522.\nAnswer: 1529*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-129)\/(-6) - 3\/(-6). Let w = u - 28. Let l(v) = 4*v + 20. Let x be l(w). Is x smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439854947?\nAnswer: 7, 62836421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -61*(-1)\/(-1)*2. Let l(a) = 318*a**3 - a**2 + a + 3. Let n be l(-1). Let u = g - n. Is u a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 113, 232, 355, 482, 613, 748, 887?\n\"Answer: 2*v**2 + 113*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1386 (c) 24 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u. Suppose 2*a = -3*c + 11, a = -u*a + 3*c + 1. Suppose -12 = -2*f - 2, -5*m + 75 = -a*f. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 33*f = 43242. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 10264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 14954?\nAnswer: -4635.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 93121 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160900 by 2470.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 40*x**2 + 2799*x - 43. Determine k(-70).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 7*v - 20*v. Let n(c) = c + 172. Let z be n(0). Suppose -z - 204 = -5*y - 4*p, -v*y + 5*p + 309 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192) + 2 + -3 - (sqrt(3)*-3*-6 + -1 + -4*sqrt(3)))**2*-4.\nAnswer: -436 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g**3 + 92*g**2 + 304*g - 3090. Determine o(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 2. Let p = f - 1. Suppose -2 - p = -y. Solve n + y*s + 7 = 0, -1 = -5*n + 5*s + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4768.616 kilometers to micrometers.\nAnswer: 4768616000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7978, -7956, -7918, -7864, -7794, -7708?\n\"Answer: 8*j**2 - 2*j - 7984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Let z be (0\/(-1))\/(0 + w). Solve h + 1 = -5*v - z*h, 0 = -2*v + 3*h + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -193, -196, -209, -238, -289, -368?\n\"Answer: -n**3 + n**2 + n - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12747*p + 11281084. What is h(885)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1009 - 607 + 682)*(0 + 0 + 2*p) to the form q + j*p and give j.\nAnswer: 2168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9571179.\nAnswer: 3, 3190393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(306\/(-1428)) - 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 19 = -m + 16, 0 = 4*j - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (296 - 286)*-1*(-5)\/100?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56063 is divided by 262?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000905 to five decimal places.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.61, -0.3, -0.48?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - g. Let b(w) = -9*w**2 + 2*w - 4. Determine -b(d) - 4*x(d).\nAnswer: 13*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/((-2)\/(-10)). Suppose 2*q + 2*l = v, -14 + 0 = -5*q - l. Is q <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p**3 + 13*p**2 - 5*p + 124. Let r(m) = 20*m**3 + 16*m**2 - 6*m + 125. Let l(s) = -5*r(s) + 6*t(s). Differentiate l(u) wrt u.\nAnswer: 42*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/302544 and 123\/2840.\nAnswer: 107403120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3010403794 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -4, -1, 3, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*d + 54*d + 36*d)*(-7*d**2 - 7*d**2 + 12*d**2) - d**3 + 5*d**3 - 2*d**3 + d**3 + 5*d**2 - 5*d**2 + (0*d - 2*d - d)*(-4*d**2 + 4*d**2 + 2*d**2).\nAnswer: -141*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 6*s**2 + 3*s - 12. Let m be d(6). What is the units digit of m*5*66\/110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96466.\nAnswer: 2, 139, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 5 = -o + 5*s, 22 = o - 3*s. Calculate the remainder when 39 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456678 by -6.\nAnswer: -76113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 610*a**2 + 21*a - 228. What are the prime factors of k(11)?\nAnswer: 223, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18069.737 or -1\/8?\nAnswer: -18069.737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883526?\nAnswer: 2, 3, 313921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 12. Give q(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-180)\/40*44\/3. Let m = 213 + q. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41252790463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1.4. Let g = -5 + 5.3. Sort 0, g, m in decreasing order.\nAnswer: m, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 15360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.219*-0.5.\nAnswer: 11.1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -12. Suppose -3 = l*c - 5*c. Suppose -5*g + c*g = -290. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*i**4 - 23199*i**3 - 13879333 wrt i?\nAnswer: 60*i**3 - 69597*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -94 (b) -46 (c) -14\/5 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**2 + 6*s - 5. Let z be n(4). Let h = z + 761\/7. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -369, -552, -735?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 2*b**2 - 75*b - 327. What is z(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 8130 - 8130.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 - 4*y + 1. Let f(t) = -8*t**3 + 11*t - 3. Calculate 4*f(r) + 11*u(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0 - (2 + -4)) + -39 + 223 + -250?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**3 - 11*m + 6*m**3 + 2*m**3 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*p + 12 = 0, -m + 1 = 2*p - 0. Let z(i) = 5*i + 3. What is the tens digit of z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116)\/(-44) - 1176\/(-3234)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q = -36. Let y = q - 18. Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19493\/10, -1, 92 in descending order.\nAnswer: 19493\/10, 92, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 10*t + 10. Suppose 10*q = 7*q + 18. What is the remainder when q is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyuqyzrirqz. Give prob of sequence zyz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 11111101111010000?\nAnswer: -11111101111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 6. Let m be s(5). Let n = 5 - m. Find the common denominator of n\/2 + (-30)\/(-16) and -73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -48*r**2 + 2*r. Let m(a) be the second derivative of 5*a**3\/3 - 2229*a. Calculate m(l(i)).\nAnswer: -480*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 9*u**2 - 6*u - 12. Let o(t) = -t**3 + t**2 + t. Let x(h) = b(h) + o(h). Let j be x(9). What is the greatest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -37*q. Let w(l) = 8*l**2. Give a(w(x)).\nAnswer: -296*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1935 by -387.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 6*x + 30. Solve -2*g - 3*m = -14, -2*g + 2*m = -4*g + x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3159 is divided by 1549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 116491*u**2. Let z(v) = v**2. Give h(z(c)).\nAnswer: 116491*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 4. Let l be t(0). Let n(m) be the second derivative of -3*m - 1\/30*m**l + 0 + 0*m**2 - 1\/50*m**5 + 2\/15*m**3. Find a, given that n(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*q + 1498 - 1940 - 2038. Solve q - 22 = -3*g, 2*x - 4*g = 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.589 + 12.889. What is the biggest value in k, 0.1, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337755722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = h + 1432 - 4268, l = 5*h + 588. What is the tens digit of 185665\/l + 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238 a factor of 30491940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 4021.5.\nAnswer: 4021.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 20*b + 24*b + 1)*(7*b - 5*b + 2*b).\nAnswer: 168*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*s + 20 = 0, -46 - 5 = -4*h - 3*s. Suppose 0 = h*i - 8*i - 104. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3659625 by -25.\nAnswer: 146385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 7*c**2 + 5*c + 11. Determine a(-3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15467944*h*i + 16527991*i wrt h.\nAnswer: -15467944*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.503 rounded to 2 dps?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -14*d + 1540. Let m be 32*((-12)\/(-28) - (-90)\/d). Solve -4\/11*p + 0 + 32\/11*p**4 - 30\/11*p**2 - m*p**3 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*k + 57, 43*p - 40*p = 4*k + 50 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99.13236 - -0.19764. Let j = 99 - s. Is 0.3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 - 6*h\/5 + 28.\nAnswer: -2*(h - 7)*(h + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1900 and 406220.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/3)\/(9 - 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*(-31)\/((-3472)\/(-1190)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4 = -p, -4*p + 9*p + 4*g - 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 7 - 23. Calculate the lowest common multiple of n and (6\/(0 - -1))\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -8. Let v = 8.1 + -7.9. Which is the biggest value? (a) t (b) v (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 158, 202, 204, 152, 34, -162?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -900 - -3663\/4. Find the common denominator of c and 93\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7032\/19 - 370. What is the second biggest value in 1\/8, i, 2\/21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-4800)*30*16.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {j: 1, a: 1, x: 1, i: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-3))\/(-7 + 38\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 62*l**2 + 6*l. Let o = -44 - -41. Let z be q(o). Suppose -z = 8*h - 13*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:06 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*i*w**3 - 3*i*w - 16*i + 2*w**3 wrt w.\nAnswer: 228*i*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, z: 4}. What is prob of sequence zo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5151 + 5152. Let s be (6\/(-4))\/(2\/(-4)). Calculate the greatest common divisor of s and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 26*o**2 + 94*o - 33. Let i be z(3). Let f(b) = b + 7. Let u be f(5). What is the highest common factor of i and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 19*p**3 - 12*p**2 + 87*p - 439. Is 16 a factor of r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i + 11*i + 11*i + 7*i**2 + 6*i**2.\nAnswer: 13*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2777*0.53181.\nAnswer: -1476.83637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -2, 38, -19 in descending order.\nAnswer: 38, -2, -19, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21330 and 1380?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1672?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5682680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48832, 48884, 49020, 49282, 49712, 50352, 51244?\n\"Answer: 7*u**3 + 3*u + 48822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129076\/71 - -1818. What is the closest to 2\/7 in 1\/2, -10, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1*1 + sqrt(110)*-1*4)*4)\/(((sqrt(120) + sqrt(120) + (sqrt(120)*2 - sqrt(120)))*2)\/(sqrt(432) - (sqrt(432)*1 - sqrt(432)))).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8219*r**2 + 163*r + 11. Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/4400 and -53\/34900.\nAnswer: 1535600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 7*n + 6. Suppose 2*g + g = -4*a + 8, -g = -3*a + 6. Suppose a*c = -3 + 11. What is the lowest common multiple of c and u(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 80 = -2*v, 20*v - 17*v - 129 = 3*b. Let a(g) = 46*g + v*g - 89*g. Let o(d) = -76*d. Determine o(a(i)).\nAnswer: -152*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182212.7 micrometers to millimeters.\nAnswer: 182.2127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 11*g**2 + 12*g + 20. Calculate the smallest common multiple of h(-6) and 1.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 64876083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 37. Suppose -5*s - 3*s + 40 = o. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 121*t**2 - 782*t + 123. Suppose -482 = -3*x + 2*a - 6*a, 630 = 4*x - a. What is the remainder when x is divided by i(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z**2 - 6*z**2 + z**2)*(-3 - 3 + 4) + (z + 0*z + z)*(2*z + z - 8*z))*(-656*z**2 - 1 + 656*z**2 - 14*z**3).\nAnswer: 112*z**5 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4192)\/(-6))\/(34\/3825). What is the tens digit of l\/320 + (-6)\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Suppose 2*h - 1 + 6 = y, 3*y - 7 = 2*h. Let u be 2\/3 + h\/4. What is the closest to u in 3, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6706, -14738, -22770, -30802?\n\"Answer: -8032*l + 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -33.5. Let x = 13 + -17. Let t = x + 1. What is the smallest value in t, p, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14720126 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/4))\/x)**(-7\/5)\/(x\/x**(-12)*x*x*x**12) assuming x is positive.\nAnswer: x**(-533\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*i - 5*j, 5*i = 2*j + 2*j - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 76, 161, 260, 373, 500, 641?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b211 (base 12) in base 16?\nAnswer: -4b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19*y**2. Let v(z) = -32*z**2 - 18*z + 6. Let s(a) = -a**2 - 6*a + 2. Let w(n) = -6*s(n) + 2*v(n). What is g(w(k))?\nAnswer: 63916*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 27*c**2 - c + 36. Let l(j) = -j**2 + 18*j + 202. Let y be l(25). Give a(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 63 = -2*p. Let o = p - -108. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83461, -83464, -83467, -83470, -83473, -83476?\n\"Answer: -3*m - 83458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-1 - -4) + 4. Find the second derivative of 4*z + 0*z**2 + 28*z**3 + 0*z**u - 19*z**3 wrt z.\nAnswer: 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(14))\/sqrt(2) + 5 + (sqrt(7) - sqrt(7)*-1).\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88\/89 - -9173\/534. What is the common denominator of c and 23\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -25. Let x(t) = t - 3. Let v(m) = -114*m - 16. Let h(a) = -59*a - 1. Let d(o) = 2*h(o) - v(o). Determine j*x(g) - 3*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -172447 rounded to the nearest one thousand?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 43*t**2 - 19*t - 15. Let p(q) = -q**3 + 19*q**2 + 9*q + 7. Let y(m) = -3*j(m) - 7*p(m). Suppose 2*u = -u + 15. Calculate y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324548 and 1262548?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47393217 is divided by 5939?\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*h = 88, -74*h + 76*h = 2*b - 30. Solve 2 = b*o - 36 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/24)\/((-110)\/264)*10\/18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/100*(-10)\/(-1)*2\/486*-6?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*60\/(-5). Let v = x - -10. Solve -a - 1 = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003132 divided by -4\nAnswer: -250783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 23*o**2 + 92*o + 5. What is w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*z = -2, 12*z = 10*z - 4. What is the nearest to l in -3\/5, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 9*l - 38. Let i be r(-7). Let t be (1*264)\/((-3)\/2). Let h = i - t. What is the greatest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -589844 and 25.\nAnswer: -14746100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**4 - q**2 + 2*q - 2 + 1 - 11*q**4 to l*q**3 + d*q**2 + p + v*q + c*q**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5896573 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/9 - 13826*g\/3 + 179400 = 0.\nAnswer: 39, 20700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*m + 12. List the prime factors of (3\/(-2))\/(m\/(165 - 1)).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 199*t**2 - 38*t**2 + 316*t**2 - 79 - 1828 wrt t.\nAnswer: 954*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 61. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -309\/5, 4\/9, 14, -5, -3\/5, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -278440 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwjjwwwjjwj. Give prob of sequence jwjw.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 343, 320, 293, 262, 227?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 2 - -3) - (-3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*3)\/(57\/266). Let m be ((-21)\/q)\/(1\/4). Suppose 1024 - 226 = m*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*q = 40, -4*q + 1946 = 3*z + 1921 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570574000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 10*u**2 + u - 15. Let z be j(9). Let s = z - 71. Solve -x + 1 = 5, 31 = 5*f - s*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 3 - 3.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2\/21 (c) 9 (d) -3 (e) 1392 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*t**5 - 10*t**4\/3 + 587*t**3\/3 - 728*t**2\/3 - 452*t\/3 - 16 = 0. Calculate t.\nAnswer: -6, -1\/3, -1\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w**2 + 7*w - 6. Is 8 a factor of n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - 33*j**2 + 86*j - 3. Determine o(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 115651759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 5:32 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 39*q + 2 = 43*q, -2*f + 3*q = 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 + (-14)\/6)\/((-3)\/81) and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (13 + 3 - 23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498330 and 9114?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(5\/11)\/((m**(-1\/7)\/m)\/((m\/m**(2\/7))\/m)))**(-5\/9) assuming m is positive.\nAnswer: m**(-260\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Suppose 2*d - 3*d - v*f + 22 = 0, -2*d - 5*f = -64. Suppose 5*u - d - 278 = 0. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4264597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h. Let x(p) = -2*p**2 - 6. Let b(c) = c - 5. Let k(s) = 6*b(s) - 5*x(s). Suppose 5*j + 25 = -0*j, -2*j = 5*o + 15. Calculate o*k(n) - 6*g(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 103\/15. Let s = 0.5 + -0.3. Let y = -16\/9 + 139\/63. Put y, g, s in descending order.\nAnswer: y, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.49 - 19.1. Let v = g - 1.3900167. Round v to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 653 - 652.9461. Round b to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5\/3 + 3608*p**4\/3 - 269228*p**3 - 1626208*p**2\/3 - 814912*p\/3 = 0. What is p?\nAnswer: -1, 0, 428, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758560 to the power of 1\/2, to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(9\/8)*(j**2)**(-1\/75))\/(((j*j\/(j\/(j\/j**(-1\/5))))\/j*j\/j**(2\/9))\/(j*j*j\/(j\/j**(-2))*j*(j*j**(-4\/9))\/j)) assuming j is positive.\nAnswer: j**(-4633\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251108 and 748?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-82)*-4*144\/288.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -171*x + 184. Let n be u(4). Let z be 3\/(-5)*n\/30. Solve -4*a = -12, -z*v + 8*v = a - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:48 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 132713598 from -18553.\nAnswer: -132732151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -126*r*t*v**2 - 2*r*t*v - 17*r*v**2 + 9*r*v - v**2 wrt t.\nAnswer: -126*r*v**2 - 2*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6025*n + 12047*n + 5*k = 6019*n - 26, 9*n = -4*k - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35, 3 in decreasing order.\nAnswer: 35, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530534 and 2786.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(80))**2 - sqrt(80))*-1 + sqrt(80) + 1*sqrt(80)*-1)*-4.\nAnswer: -16*sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y**2 - 924*y + 8387. Determine p(11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:04 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1748 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 693 and 12314379?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260 at least 127130\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p + 4. Let q(m) = -4*m + 2. Give -7*q(k) + 3*r(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-2) + (-3)\/(-2). Let u be d\/40 - 138\/(-8). Let v = 16 - u. Is v <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4*q**2 + 9*a*q**2 + 1098*a*q + 1560*q**2 - 2*q - 1 with respect to a.\nAnswer: -4*a**3*q**2 + 9*q**2 + 1098*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 13*f + 2. Let u(y) = -3*y**2 - 37*y + 5. Let b(z) = 11*q(z) - 4*u(z). Determine b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.08 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 12*x**4 - 12*x**3 + 44*x**2 - 24*x.\nAnswer: 4*x*(x - 3)*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 - -261. Suppose x - u = -5*y, 14*x = 9*x - 20. Let d = -5 - -2. What is the closest to 0.1 in y, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 678, -451, -2334, -4971, -8362, -12507?\n\"Answer: -377*n**2 + 2*n + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3804? (a) 5 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 785 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-75)\/12)*-4. Let f(s) = 4*s + 23. Let a be f(5). Suppose -w + a + n = 0. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23252869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*u**3 + 156*h**3*u**2 - 16018*h**3*u - 3*h**2*u**3 - 212048*h**2*u**2 + 4*h*u**3 + u wrt h.\nAnswer: 12*u**3 + 936*u**2 - 96108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 16*i + 18. Suppose 0 = -32*k - 31*k - 756. Calculate r(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(12)*-2.\nAnswer: -4*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sceceeececesesesccsc. Give prob of sequence ssee.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5932*u + 29665. Let r be w(5). Let h = -0.03 - -0.12. Which is the closest to 14? (a) r (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let s(z) = 3 - 3 + 170*z. Let k be s(g). Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from kikkikk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763 <= 6791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*231\/154?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -2. Let l = -4.99 + -0.01. What is the third biggest value in l, r, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-220))\/(918\/3060).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(135) + 2*sqrt(135))\/sqrt(5))\/(-3*sqrt(63)\/sqrt(7)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 4*h - 3. Suppose -y - 6 = -z, 2*y - z + 5 = -5. Let i = y + -1. What is g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -7 + 67. Suppose -3*i + t = 2*i. Let h(q) = 7*q**3 + q**2 + 8 - 14*q**i + 6*q**3. What is h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/60 - 13*b**5\/60 + 3*b**4\/8 - 2*b**3 + b**2. Calculate the remainder when t(6) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -4, 3, -1\/4, 0.14, -2\/193?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280 - 281. Let u(f) = -154*f - 16. What are the prime factors of u(q)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -117371 and -1173711\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 8:15 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3019718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5982199956 to the nearest integer?\nAnswer: 77345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 11 - 31 + 8*i)*(-1 - 2 + 2).\nAnswer: -8*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -154, -262, -370?\n\"Answer: -108*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21133284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o. Suppose o = -3*f + 20 + 10. Calculate the remainder when ((-51)\/(-2) - -2) + (-8)\/16 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569503397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*76.7\nAnswer: -5.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -64, -2\/13, 5, -2\/3, -277, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 504.000566 - 504. What is j rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b = 4*b + 875 - 1019 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 28*j + 2. Let k(w) = w**2 + 140*w + 11. Calculate 2*k(o) - 11*v(o).\nAnswer: 2*o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*d + 622 - 622 as u + g*d and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from wkwwkwgkwkwwkgwwrwgw.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**4\/12 - 61*p**3 + 1128*p**2. Let w(q) = 2*q**2. What is w(i(m))?\nAnswer: 8*m**2 + 2928*m + 267912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 3*x**2 + 3*x**2. Let k(u) = u**2 - 2*u. Let i(h) = -h**2 + h. Let y(g) = 2*i(g) + k(g). Give m(y(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + (-119)\/14)\/(9\/(-18)). Solve x - 5*x - 5*r = k, 2*x - 11 = r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*u + 4*u - 6*u)*(-6 + 2 + 0) + 4*u - 2*u + 0*u)*(24 - 24 + 4*u)*(3*u - 3*u - 4*u) to the form k*u**3 + f*u + o*u**2 + s and give k.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172061 divided by 2357.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 7958 + 8048 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 191 = 703. Suppose -x = m - 9*m. What is the highest common divisor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1145 + -537. Let w = 607 - g. What is the biggest value in 2\/15, w, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 0*i + 0*i - 2*i + 310*i**2 + 8*i**2 - 13. Let z be x(11). Let v = -15557 - z. Round v to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5352, 11615, 17862, 24087, 30284?\nAnswer: 36447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-5))\/(72\/(-1920)). Suppose -5*b = 3*b - r. What is the greatest common divisor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 545 - 622 + 360 - 368 to g*f + y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21 - -3)*(1\/3 + -1). Let b = -9 - u. Let s = b + 25. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q + 40. Let h be w(7). Let y be 1000\/(1930\/(-1928) - (1 + h)). What is y rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 236*d**2 - 52*d + 54. Does 17 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6627 + -6618. Which is the second smallest value? (a) -0.11 (b) u (c) 2\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 - 2160*q + 303359 = 0. Calculate q.\nAnswer: 151, 2009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b1009 (base 13) in base 3?\nAnswer: -12111010012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1647\/(-162))\/(-61) - (-55)\/264\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-p + 5*p - 3*p) - 8 - 5*p + 4 + 2 + (2*p + 0 + 0)*(3 - 5 + 1) + 0*p + 0*p + p.\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 40. Suppose 38 = 2*x + 2*h, 5*h + 0*h - l = 0. What is the remainder when 27 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374828*z + 4 + 1 + 374909*z.\nAnswer: 81*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.042? (a) -2 (b) 4 (c) -0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 38*l - 123. Let a be q(-41). Which is smaller: a or 5\/73?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/13 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 7 + 7 + 0 - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 not equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*y, 5*i - 2*i = -5*y + 293. Let c = 14554 + -349427\/24. What is the common denominator of i\/(-12) + 0 + -2 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1656 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/4 + 9*f. Let a(h) = -4*h. Give b(a(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 2724.43115822?\nAnswer: 2724.47115822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**5*m - c**3 - 146*c**2*m + 237*c**2 - 56720*c*m + 104 wrt c.\nAnswer: 240*c**3*m - 6*c - 292*m + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6865 + -14cc?\nAnswer: -7d53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*i - 91*i + 248*i)*(3 + 4*i - 3) to s*i + c + v*i**2 and give v.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (969*m**2 - 222*m**2 - 322*m**2)*((2*m - 3*m + 3*m)*(-m - 4*m + 4*m) + 0 + 0 + m**2).\nAnswer: -425*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 - 14*j + 14*j)*(27*j + 46*j - 13*j) to the form p + f*j**2 + m*j + a*j**3 and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174, 167, 164, 171, 194?\n\"Answer: a**3 - 4*a**2 - 2*a + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1009927 + -1009920. Find c such that -1\/3*c**2 + 0 + d*c = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229 - -231. Suppose 4*s - 2 + 14 = 0, -5*a + 3121 = -m*s. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/4)\/(z\/((z**(6\/11)\/z*z)\/z))*z**(-6)*z*z**(-3\/10))**(-11) assuming z is positive.\nAnswer: z**(1761\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/187 and 13\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:39 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*q + 7*q = 17, d - 2*q = -3. Let p = 15 + d. What is the smallest common multiple of 6 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 0.5 (c) 0.008 (d) -0.18 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let q(k) = 69*k**2 - 375. What is q(s(d))?\nAnswer: 276*d**2 - 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*d = 3*v - 20, -3*v - d + 100 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -672, -1389, -2156, -2973, -3840?\n\"Answer: -25*n**2 - 642*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45900263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2, -436 - 1309 = -3*n + 4*a. What are the prime factors of n?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0 - (-12 + 30 + -23 + 13)) + 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/15 - 344*a**4\/15 - 3588*a**3\/5 - 26272*a**2\/15 + 86222*a\/15 - 3256 = 0.\nAnswer: -132, -37, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 18*a + 32. Let v be j(-15). Let y = v + 183. Calculate the greatest common factor of 21 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 48 = -9*t - 17, -1 = g for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) 3\/5 (c) 4 (d) 36362\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29035.\nAnswer: 5, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/10)\/(13\/52*-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p + 25*p + 584 = 11*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015423618 rounded to 5 dps?\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1810299, -3620602, -5430905, -7241208?\nAnswer: -9051511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291 by -3.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -412054 (base 7) to base 5\nAnswer: -4222404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 152 divided by 38\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 25 = 21*r. Solve -40*c + c**2 + 25*c**3 - 5*c**5 - 5*c**4 + 4*c**2 + 4 + 11 + r = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7297 is divided by 137?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 1:36 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 + -248. Solve 0 = -2*q + 10 - o, -4*p + 2*q = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Suppose 4*u + 0 = 4. Suppose -x = x - 12. Let t = u - x. Calculate v(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -49*t + 8578. Calculate b(174).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 - 8*w + 5. Determine y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3279.6, -4, -184.\nAnswer: -184, -4, 3279.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2816 + 16843\/6. Calculate the common denominator of ((-4)\/(-22))\/(1\/(-5)) and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (3 + sqrt(153) + -4)))**2 - sqrt(68)\/(-5*sqrt(484) + sqrt(484) + sqrt(484)))*4.\nAnswer: 796*sqrt(17)\/33 + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2979 + 2213 = 210*g - 19588 for g.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 + 12*s**2 + 7*s - 20. Let j be p(5). Let b be (-45)\/j - (-39)\/12. Solve 3*m - 18 = b*t, 25 = -2*t - 3*t + 5*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/72)\/(2 - (-18)\/(-8)). Let q(c) = c**3 + 4*c**2 - 3*c - 3. Calculate q(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515216 is divided by 4681?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/1995*10\/(-16)\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6.06, 0.4, -0.14, 1\/2, 3.\nAnswer: -0.14, 0.4, 1\/2, 3, 5, 6.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-330)*20\/(-6)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 188 = -201 - 115 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 20.39. Let h = s - -0.556. Let u = -7.346 + h. What is u rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 23*y**2 - y + 44. Let u be c(23). Suppose u = 4*b - 15. Which is smaller: b or 39\/5?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 + 7*l**4\/12 + 5*l**3\/6 - 2*l**2 - 3*l. List the prime factors of y(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/2)*a))**(-2\/33)*(a*a*a**2)\/(a*a**(-1\/4)) assuming a is positive.\nAnswer: a**(433\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36*(2365\/44 + 8) - 4. Which is bigger: 2214 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212111110021 (base 3) in base 11?\nAnswer: 1508683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6861309 + 0.1.\nAnswer: -6861308.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 996977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b. Let o(y) = -3*y**2 - 10*y. Give o(f(t)).\nAnswer: -75*t**2 + 50*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410 a factor of 504213470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 2154*v - 10771. What is p(5)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1604132 to three decimal places.\nAnswer: 10.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*w = -4*w - 5915, -h + 1975 = w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 7*n + 3. Give f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -4*n + 166. Suppose 3*s = w + n, -5*s + 5*w + 30 = -0*s. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(108)*-1) - (-2 + sqrt(98) + (sqrt(98) - -2*sqrt(98) - sqrt(98))**2).\nAnswer: -390 - 22*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 0 (c) -24 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.852777 years?\nAnswer: 0.2852777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22635 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 407*u**7\/210 + 239*u**4\/8 + 255*u**2 - 1. What is the second derivative of o(p) wrt p?\nAnswer: 4884*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-9))\/((-4)\/(-12)) - 1. Put -2, 1.1, q in increasing order.\nAnswer: -2, 1.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/12 - 1\/3. Let d = 19.566 + -0.066. Let f = 20 - d. What is the third biggest value in f, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/22 and 77\/76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 > -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5211 is divided by 961.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*i - 7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -12, -5\/8522, 0.1.\nAnswer: -12, -5, -3, -5\/8522, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + l = -4*l + 58, -l - 17 = -2*k. Let g be (-62)\/22 + (-2)\/k. Let w be ((-8)\/g)\/((-12)\/(-18)). Solve -9*a + w*a = -2*j - 5, -4*j + 3*a = 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 6492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 582*w - 14015. Calculate f(26).\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135751*h**3 + 562*h - 562*h.\nAnswer: -135751*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2. Let o(x) = -4*x - 4. Give o(q(r)).\nAnswer: 36*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**2 - 1751 + 1751.\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655409?\nAnswer: 2655409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314 + 305. Sort -4, 5, y in descending order.\nAnswer: 5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2818418 and -2818417 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 20193.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -87*10\/180*-6. Solve d = s - i + 26, -3*d + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let s(f) be the first derivative of 6 + 0*f - 21\/2*f**2. Calculate b(s(o)).\nAnswer: 441*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 352660 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 2*l - 2. Let c be h(2). Let u be (4 - 11)*c\/(-14). Suppose 0 = 4*d - u - 5, 28 = x + 5*d. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7157 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + (-1044)\/10. Let s = -63 - c. Let a be s + (-1 + 0 - 0). Calculate the highest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t. Let u(z) be the third derivative of -1\/6*z**3 - 1\/120*z**6 - z**2 + 0 + 0*z**5 + t*z**4 + 0*z. What is the first derivative of u(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-36))\/(2 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 32. Suppose 4*n - 2 = x + 3*n, n = -4*x - d. Let a(q) = -5*q - q**2 - 1 + 2 + 1. Calculate a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 15 + -10 - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 687 and 315670088?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i + 28*h + 41*h + 878 + 633, i + 4*i + 105 = -5*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 9 - (7 + 21 - (-15 - -30 - 2))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -77. Let k(y) = -f*y**2 + 16 + 4*y**2 - y**2 + 14*y. Calculate the remainder when 7 is divided by k(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 + 4*w - 5. Calculate k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, v: 1, k: 1, b: 1}. What is prob of sequence dv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28807 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 322704 divided by -216?\nAnswer: -1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 169 (c) -211160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/8 - 44880\/(-64).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-2)*((-5746)\/65 + 92).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312598.\nAnswer: 2, 7, 29, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 + 5193*n**4 + 1534506*n**3 + 120322956*n**2 - 932101272*n - 1050894912 = 0.\nAnswer: -1382, -178, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**5\/25 + x**4\/20 + x**3\/15 - x**2\/10 + 44. Factor l(r).\nAnswer: -r*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**5)\/y*y)\/y**(-3))\/(y\/y**(-2)*y**(-1\/2)*y)*(y\/y**(-2\/7))**(-3\/17)*(y**0\/y*y)\/(y\/y**(-4)) assuming y is positive.\nAnswer: y**(65\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -42342743.58 to the nearest ten thousand.\nAnswer: -42340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3037*l**2 - 10*l + 7. Let a(t) = 2024*t**2 - 7*t + 5. Let m(w) = 7*a(w) - 5*c(w). Let s(i) = i**2. Give m(s(r)).\nAnswer: -1017*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2*2))\/(8 - 9). Sort 8, 4\/5, f in descending order.\nAnswer: 8, 4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(0 - 3 + 1)*(-2760 + 2760 + 42*a**3).\nAnswer: 252*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0. Sort n, -4, -16 in descending order.\nAnswer: n, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1556 + 3754. What are the prime factors of t?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -514*m + 516*m. Suppose 5*w + m*r + 10 = 0, 4*w - 35 = 5*r - 2. Solve 4*i = 2*i + w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 + 59932*h**2 + 27615*h + 2.\nAnswer: -6*h + 119864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.61422 + -25.38578. Let f = -5 - -3. Which is the third smallest value? (a) n (b) 3\/2 (c) 2\/15 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 4 - 3*p + 7*p. Let a be (-4)\/(-1 + 0 - -2). Let t(j) = -9*j + 5. Suppose 3318*n - 3375*n = 285. Give a*t(d) + n*v(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + 23*q**2 - 8*q + 4. Let n be c(-8). Let g(a) be the first derivative of -a**2\/2 - 3*a + 12. Let z be g(-6). Solve -n*w - z = 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*b = -7, d = -10*b + 15*b - 21. Let a(g) be the third derivative of 0*g + 6*g**2 - 5\/12*g**d - 1\/60*g**6 + 0 + 2\/15*g**5 + 2\/3*g**3. Factor a(u).\nAnswer: -2*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*g**4 - 2295*g**3 - 1010*g**2 + 1320*g = 0. Calculate g.\nAnswer: -1, 0, 4\/7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303645681 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98591809.\nAnswer: 457, 215737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/6)*q)*q\/q**4)**45 assuming q is positive.\nAnswer: q**(-375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663048526 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/5, 0.05, 16.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 bigger than -1222\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254428*i**6 - 485*i**2 - 1367*i wrt i?\nAnswer: 30531360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(90)*1 + sqrt(90) + sqrt(90))\/(sqrt(9)\/sqrt(3)*3))\/(sqrt(6) + (6*(sqrt(6) - (sqrt(54) + sqrt(6))) - sqrt(6)) + (-6*sqrt(54) - sqrt(54))).\nAnswer: sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -126. Let i = y + 12.01. Which is the second smallest value? (a) -0.5 (b) -4 (c) 0.4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -17*f**5\/60 - 37*f**2\/2 + 29. Let q(y) be the second derivative of t(y). Let p(u) = -7*u + 5*u + 4*u. Calculate p(q(v)).\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-19840)\/(-3472))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 794185 divided by 8.\nAnswer: 794185\/8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -20. Let t(b) = b**2 + 6*b - 4. Does 3 divide t(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -8 + 21 + -9 - (10 - -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 3523*q**8\/168 + 83*q**5\/15 - q**4\/4 - q**3\/3 + q**2 + 96*q - 30. What is the third derivative of a(y) wrt y?\nAnswer: 422760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) 0.5 (c) 1 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 30. Let w be m(-8). Let -5*u + 3*u + 5*u - u**5 - 5*u**4 - w*u**3 + 4*u + 3 + 2*u**2 = 0. What is u?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 27*a = 76. Let t be 108\/10 + (3 - 11)\/a. Factor 12\/5 + t*v + 7\/5*v**2.\nAnswer: (v + 6)*(7*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2967 and -5.\nAnswer: 14835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6934831, 6934829, 6934825, 6934819, 6934811?\n\"Answer: -d**2 + d + 6934831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 523 = -5*v, -30 = -i + 4*v + 116. Let l = -114 + i. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22680 and 138348?\nAnswer: 1383480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17119 and 1739089.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**3 + 6*x**2 - 8*x + 8. Let p(q) = 11*q**3 + 9*q**2 - 12*q + 12. Let l(g) = 5*p(g) - 8*r(g). Suppose 3*s + 32 = -5*s. Calculate l(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -9 - (2 + (-1 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172647, -172673, -172747, -172893, -173135, -173497?\nAnswer: -174003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.444 - 0.044. Which is the third smallest value? (a) -2\/7 (b) -4\/7 (c) 3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**4*y**2 - 351*o**4 - 11*o**3*y**2 - 258088*o**2*y + y**2 wrt o.\nAnswer: 96*o*y**2 - 8424*o - 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*(3 + -6) - 3 - -2. Let y be 502\/8 - 3 - (-5)\/20. Let f be 6*2888\/y + 12\/(-15). What is the greatest common factor of f and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1699366042 rounded to the nearest 100000?\nAnswer: -1699400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/6 - q. Suppose -4 = 5*z - 29. Let p = z + -6. What is m(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(45\/6)*(-156)\/(-28)*105\/30?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63986 - 44417. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -6. Suppose 5*c + 40 = d*c. Does 5 divide (-116)\/(-14) - c\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4 + 4*o**2 - 8 - 2 + 13 - 3 + 17*o. Give s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -25. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14568484 divided by -60956\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4649423.76\nAnswer: 4649425.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60616944 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*u**2 + 14*u - 14*u + 2 - 3*u + 3*u - 2*u**2 + (-4*u + 2*u + 0*u)*(3*u - 7*u + u) + 202 - 202 - 22*u**2 + 4*u**2 - u**2 - u**2.\nAnswer: -50*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, 1 v, and 1 o when four letters picked without replacement from {s: 3, v: 1, o: 2, a: 1, d: 3, w: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 641.4435ug in milligrams?\nAnswer: 0.6414435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euve when four letters picked without replacement from eeetgeuveveeeeeee.\nAnswer: 11\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 212*y**2 - 6116*y + 36300.\nAnswer: 4*(y - 11)**2*(y + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 635783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 + 30 = 0. What is the highest common divisor of l and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -12, -13, -5, 23 in descending order.\nAnswer: 23, 6, -5, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 1. Suppose -2*n + n = -2. Suppose n*s - 3 = -g, 2 = -3*s + 2*s - 4*g. Determine u(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 63\/8 of a gram?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.7 and -24695.5826.\nAnswer: -24692.8826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 times -678201\nAnswer: 37301.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = w - 61618, 0 = -0*f + 3*f + 5*w - 36984. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*m**4 - 4*m**2 + m*r**3 - 260*r**3 + 4 wrt m?\nAnswer: 24*m**3 - 8*m + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1864 divided by 90076\nAnswer: -466\/22519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((495\/40)\/11).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 1\/60*o**4 - 2\/525*o**7 + 0 + 0*o**6 + 2*o**2 + 0*o**3 - 1\/840*o**8 + 1\/75*o**5 + 0*o. Find x such that i(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-21) - 13\/(-91).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 247689 and 169?\nAnswer: 3219957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-14)\/(b*b*(b\/b**(-11))\/b) assuming b is positive.\nAnswer: b**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:23 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/19 + 232*z\/19 + 6728\/19.\nAnswer: 2*(z + 58)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5905 is divided by 2798?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -217*g**2 - 7*g - 7. Let q(l) = 72*l**2 + 2*l + 2. What is -2*j(f) - 7*q(f)?\nAnswer: -70*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 6:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -100 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446 = 481*w - 2921 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4485 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -84. Suppose 7*d - j*d = -1988. List the prime factors of d.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 - q**3\/6 - 2*q**2. Let o(m) = -m + 1. Suppose 2*x - 4*f - 29 + 5 = 0, 4*x = f + 27. Calculate x*u(p) + 4*o(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131 - 2*f**2 + 131 - 18*f**3)*(1 - 1 - 2*f).\nAnswer: 36*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-3)\/6*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 278 - 273 - (1 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1222 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h + 4. Let i be o(-5). Let a = -18 - i. Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10933978 - 8914*u**2 - 10933978 to m*u + v + o*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 6) to base 4.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.02 (b) 1\/2 (c) -2\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -92220.45 minus 0.4?\nAnswer: -92220.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooeeooo. Give prob of picking 4 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17753951141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*h**4 + h**3 + 24*h**2 - 4*h wrt h.\nAnswer: 2400*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61781 divided by 17.\nAnswer: -61781\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Let q = -4 + r. Does 3 divide 10\/2 + (-1 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8601 times -25?\nAnswer: -215025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -101*x**3\/3 - 173*x**2\/2 + 643*x. Differentiate f(q) with respect to q.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 7. Let p(v) = 3*v - 11. Determine 8*h(i) - 5*p(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 26, 18, -8, -58, -138, -254?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*36.199.\nAnswer: 68.7781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736 (base 8) to base 11.\nAnswer: 3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002854 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-b**2 - 4*b**4 + b**2) + (-3*b**2 + b**3 + 4*b**3 - 49 + 48)*(7 - 7 + 9*b).\nAnswer: 53*b**4 - 27*b**3 - 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 621249 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t**2 + 302*t**2 + 16622*t + 16600*t - 33220*t.\nAnswer: 384*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(1\/9)*l)))**(-20)\/((l*l**(2\/59))\/l*l**9) assuming l is positive.\nAnswer: l**(-16597\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 3*p - 5, 5*g - 7*p + 6*p = -30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(121)*-3)\/(sqrt(539)*1*3).\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, and 2 y when four letters picked without replacement from {e: 1, o: 1, t: 1, b: 1, y: 2, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*o**2*v**3*y + 305*o**2*v*y + o**2*y - o*v**3*y + o*v**3 wrt v.\nAnswer: 156*o**2*v*y - 6*o*v*y + 6*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 230?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 7*f - 17 = -6*f, -3*c - 2*f = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 77. What is g(0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 632953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 8. Let b(h) = -1. What is -18*b(a) - 2*z(a)?\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 608833 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5493699 divided by 6.\nAnswer: -1831233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h - 95. Let m be s(-20). Suppose 0 = m*u - 2497 - 1328. List the prime factors of u.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/15)\/(49\/(-294))*30\/84?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 12. Suppose -3*r + v = -2*r. What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 210129649 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 141, 169, 141, 39, -155, -459, -891?\nAnswer: -1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305454 + -3?\nAnswer: -305501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2 + 4*b - 3. Give g(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1340.7291 seconds to hours.\nAnswer: 0.37242475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 6*p + 3*p)*(-243*p - 375*p + 840*p + 10) in the form n*p**2 + j + x*p and give n.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -78 - 24. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 9:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -51?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*x + 825 = 275*x + 6 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from {w: 1, b: 1, q: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 3)*(3*v + 3*v + 9*v) as k*v + h and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*z + 27*z - 2*a + 496, -3*z + 402 = -6*z - 5*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -549, -874, -1231?\nAnswer: -1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -15. Let p be ((-2)\/4)\/(o\/(-18)). Which is the second biggest value? (a) 0.5 (b) p (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6705 is divided by 69?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -150962417 minus 334?\nAnswer: -150962751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-2*sqrt(108)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 19*t**5\/60 + 11*t**4\/6 - 79*t**2. Find the second derivative of f(z) wrt z.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/60 - h**4\/24 - 2*h**3 - 27*h**2. Let t be r(0). Let w be (-7)\/(-5) - t\/(-30). Which is smaller: 92 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - 3*p**2 + 4*p - 5. What is the units digit of x(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051246 is divided by 525542.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170.706 - -171. Let q = l + -0.27. Let u = -0.076 - q. What is the closest to u in -5, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.03. Let v = 1601\/79 - -16\/237. Let o = 479\/24 - v. Which is the third smallest value? (a) h (b) o (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*((1 + -1 + sqrt(637))*1 + -5))**2.\nAnswer: -3780*sqrt(13) + 35748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-24))\/(18\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:12 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w**2 - w - 1. Let t be i(-1). Let f = 23 + t. Let b(p) = -4*p**2 + 0*p - 6*p - 2 - p**f + 6*p. Calculate b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422043234 (base 5) to base 11.\nAnswer: a98016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*u - 1 + 23, -5*f + 5*u - 10 = 0. Let b = 12 + f. Let z = 24 - 1. What is the remainder when z is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -383472466*m**6*z + m**2*z + 15334*m**2 - 21*m*z + 8*m - 2*z - 1 wrt m?\nAnswer: -46016695920*m**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 75*a**2\/4 - 1107*a\/4 - 11767\/4.\nAnswer: -(a - 41)**2*(a + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w - 4*w. Let y be 2 - -1 - (-9 + w). What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*c + 867, 5*c + 2*u - 1421 = u. What are the prime factors of c?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -45304\/1371 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) - 0\/(-1). Let v = -4 + j. Put 0, 5, v in decreasing order.\nAnswer: 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2151, -4320, -6489, -8658?\n\"Answer: -2169*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.81 + 0.8. Let r = x - -0.11. Let f be ((-5)\/(-50))\/((-2)\/5). Which is the biggest value? (a) -3\/4 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o - 16*o - 1 + 7 as a + m*o and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, 0.186, -5, -428 in descending order.\nAnswer: 0.5, 0.3, 0.186, -5, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*d, -w - w - 4*d + 26 = 0. Let v = -10 + w. Let s(a) = a + 29. Let h be s(-24). Is v > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 144*p**2 - 7831*p + 779. Calculate y(42).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**3*q + 66*h**2*q**2 + 257*h*q**2 + 2 wrt h.\nAnswer: 54*h*q + 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13596 + 13596.7221. What is y rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28629 and 18.\nAnswer: 57258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*c + 106, 3*c - 76 = -3*d + 5. Let v be (d - 18) + (-3 - 1). What is the remainder when (-2)\/v - (-873)\/6 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4096 - -4100. Solve 4*x - 2 = -3*t, -x = -2*x - 3*t - c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 328*d**2 + 1802*d + 900. Give t(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 21*k - 58. Solve -3*i + 12 = 0, -1 + 8 = -m + k*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17850 is divided by 167?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 26*l - 106. Determine v(-20).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1506048120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -11. Let f be -1*(-12 + a) + 2. Let r = f + -4. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 21*s + 12. Calculate g(24).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1396 + 691. Do u and -705 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 111*t**2 + 260*t + 122. Give p(-53).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0731 and 164.\nAnswer: 163.9269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 6535*a**2 + 294800*a - 3269420.\nAnswer: -5*(a - 22)**2*(a + 1351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158620*q**3 + 15*q**2 + 7558999*q?\nAnswer: 951720*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**5 + 60*a**4 + 100*a**3 - 60*a**2 - 104*a = 0.\nAnswer: -13, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b*s**5 - 762*b*s**2 + 5*s**5 + 2*s**3 wrt s?\nAnswer: -300*b*s**2 + 300*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/j**1)**5*(j*j*j\/(j\/(j*j\/((j*j**(1\/4)\/j)\/j*j))))**24\/(j**(1\/12)*j\/(j\/(j\/j**(-1\/5)))) assuming j is positive.\nAnswer: j**(6823\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*q**2 + 1 + 2*q**2 + 0)*(-4*q - 4*q + 5*q) as y*q**3 + m + x*q + r*q**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 - 338*v - 1907. Calculate i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:32 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 947*d**2 - 223728*d + 224676.\nAnswer: -(d - 1)*(d + 474)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901599651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6392 and 45594?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 36 = 87. Solve 0 = 5*m + 7 - a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 7. Suppose -9 = -f*t + 6. Suppose 4*y - 5 = t. What is the highest common divisor of y and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - r - 2*r)*(-20*r**2 - 8*r**2 - 31*r**2 + (-5*r**2 + 15*r**2 + 6*r**2)*(1 - 4 + 4)) in the form d*r + l*r**2 + t + v*r**3 and give v.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 3*d**2 - 3*d - 1. Let u be z(-2). Let p = u - 1. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808452531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-4 + 3 - ((-4*sqrt(245)*-1)**2 - sqrt(245)).\nAnswer: -3917 - 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48837 + 91314. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-93 + 38)) + (-2 - (0 + 3))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 897, 889, 881, 873, 865?\n\"Answer: -8*g + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 63. Suppose 0 = -2*w - 0*l + 3*l - 9, 0 = 2*w + l + 13. Let k = 0.09 - -4.91. What is the closest to b in w, k, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*x - 10 = 0, 248*x - 12 = -2*t + 244*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - 17 - (43 - 36)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 8*i**2 + 10*i + 25. Give w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, -5, -52, -525, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85, -174, -263, -352, -441?\n\"Answer: -89*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1045827273 and 15111?\nAnswer: 5037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/4*1608\/(-192)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 13*p + 21. Let m be i(-11). Let r be (23 + -11)*m\/(-3). Let g(z) = z**3 - 4*z**2 + 1. Determine g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 + -80770?\nAnswer: -80852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 6*y**2 - 10*y - 5. Let n be q(-7). Let u(b) = 6*b**2 - 49*b + 10. Let o be u(8). What is the greatest common divisor of o and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 59*m - 468 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-12)\/z))\/z*z**(-23))\/(z\/z**21*z\/z**43) assuming z is positive.\nAnswer: z**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39*48\/(-1560))\/(4\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -91 (b) -2\/5 (c) -1087\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5561 - 5608 = -184*x - 2337 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Suppose -x*b = 3*d - 12, 2*b + 0 = -3*d + 12. Solve 5*n + d*f = 36, 28 = 3*n - 0*f + 4*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.64988 centuries in decades?\nAnswer: 96.4988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - s + 5 = 0, 2*c + 11 - 1 = 3*s. Let m(d) = 1. Let w(r) = -7*r - r + 9*r - 5. Let a(v) = -2*v**2 + 1. Let u be a(1). Give c*m(k) + u*w(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -35531?\nAnswer: -35504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*q + 5*v - 38799, -3*q = -v - 29066. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4905680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -4*f. Suppose -v + 2 = f, 6 = -h + 3*v + 4. Find the first derivative of 6*s**h - 13 - s**4 - s**4 - 1 wrt s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:52 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 33*j**2 + 265*j - 11753. What is u(35)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149186381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3911381 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 283165577.595 take away -58?\nAnswer: 283165635.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3858.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h + 20. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*q**3*y + 7*q**3 - 26*q**2*y wrt q.\nAnswer: 84*y + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 591024\/88 - (-2)\/(-11). Let j = -147667\/22 + a. Find the common denominator of -49\/2 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2 - 0) + (21 - -16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = q + 88, 5*q + g + 32 = 21 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 906 = -4*u, -u + 3*r + 139 = -71. What is the smallest common multiple of u and 5396?\nAnswer: 16188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2 (c) 1 (d) -0.5 (e) 4\/9 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4415296 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-359)\/(-225) + (-143)\/((-54054)\/(-588)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/215 - 354\/4085. Let k = 40302 - 40302.5. Let h = -2.7 + 3. Which is the fourth smallest value? (a) 0 (b) u (c) k (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 + -8 + (8 - 4). Let d = 20 - p. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202526749*g**2*r**3 - 37564422*g**2*r**2 - g**2 wrt r?\nAnswer: 1215160494*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12670, 13929, 15188, 16447, 17706?\n\"Answer: 1259*z + 11411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5084294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 727 + -375. Is 53 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + ((sqrt(162) - 2*(3*sqrt(162) + sqrt(162) - sqrt(162)))**2 - ((sqrt(162) - ((sqrt(162) - -2*sqrt(162))**2 - sqrt(162)))*-1 + sqrt(162))))*-1.\nAnswer: -7773 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:20 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -4 - (-4 - -5). Let y be ((0 - q) + 3)*-40. What are the prime factors of (-1 - 0)*(y - -3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34595)\/15096*(-12)\/(-88).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:26 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k - 5. Let c(l) = -17*l - 8. Let j(z) = 5*c(z) - 7*r(z). Let m(f) = f + 1. Calculate j(h) + 5*m(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.4711466 rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 14*t - 1332570. Let p = t - 4377758967\/16426. Let w = p + 484621\/295668. What is the common denominator of -65\/3 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/(-10)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.87051 to one dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15674956, -15674955, -15674954, -15674953?\n\"Answer: h - 15674957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.026 and -171912179662.\nAnswer: -171912179662.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/(-18))\/(2\/3). What is the units digit of 2648\/72 - s\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-390)*-230 - (-36)\/12?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.6031 and 85.\nAnswer: 306.2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19568 is divided by 1129?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8398)\/(-52))\/(1\/2)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/27 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-36)*3)\/(7\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -371?\nAnswer: -4\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7819198*s**4 - 5914376*s**2?\nAnswer: 187660752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3582934, 7165843, 10748752, 14331661, 17914570, 21497479?\n\"Answer: 3582909*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 24. Let h(b) be the first derivative of o*b**2 + 1\/2*b**4 + 2*b + 2*b**3 + 1. Find z, given that h(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 28. Let s be ((-175)\/(-21) - 5)*(c + 0). Let b be 54\/s*3*25\/(-15). What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80 and -294.\nAnswer: -23520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6431 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3192 and 57.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 13*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -3 - 1) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 4. Let u be w(-7). Let i = 13 + u. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(((r\/r**(-3\/11))\/r)\/r*r))\/r))\/r)\/r**(-1\/4) assuming r is positive.\nAnswer: r**(23\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42110 is divided by 2629?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -25. Solve 5*r + f*h - 32 = 4*h, 0 = 4*r + 3*h - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 1 (b) 2 (c) -5\/68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 3*d**2 + d - 10532. Let m be j(0). Let f = m - -17631. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/3 + 334*k**3 + 293002*k**2 + 125373998*k\/3 - 42084668 = 0.\nAnswer: -251, 1, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.001, 1, 0, -102\/5, 1\/2 in decreasing order.\nAnswer: 1, 2\/3, 1\/2, 0.001, 0, -102\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/5 in -0.1, 4, 0, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/(-3) - 1\/3. Let k = 20 + o. Calculate the remainder when 154 is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 + 69. Let r = 91 + k. Suppose 31 = 5*u - 9. What is the highest common divisor of r and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23962, -21252, -13896, 428, 24042, 59268, 108428?\n\"Answer: 387*v**3 + v**2 - 2*v - 24348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3411*s**5 + 2*s**4 + s**3 + 14416*s**2 wrt s?\nAnswer: 204660*s**2 + 48*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 33 = -4*v, -5*v - n + 5 + 0 = 0. Suppose o - 61 = -3*s, v*s - 4*o - o = 35. What is the remainder when 59 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 74*f**3 + 11*f**2 - 8*f - 153. Differentiate q(d) with respect to d.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 - 7*a**2 + 7. Is t(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2. Let b be ((-130)\/(-20))\/((-2)\/(-4)). Let f = -9 + b. Let p(g) = 169*g - 2*g**2 - f*g**2 - 169*g. What is p(y(a))?\nAnswer: -96*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567229 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 12. Give b(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1996*-277 + 173 + -181. What is o rounded to the nearest ten thousand?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 7 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -534995*u - 2. Let p(r) = -1069989*r - 5. Let h(q) = 9*i(q) - 4*p(q). Let x be h(-2). What is x rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 179222480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/75 and -69\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:09 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5 - 46043?\nAnswer: -46051.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 14*v = 1220. Let s = v + -166. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r = -88*r + 140. Calculate the remainder when 204 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132080 divided by -1622.\nAnswer: -66040\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12997938847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675565343?\nAnswer: 223, 229, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Let f(w) = w**3 + 3*w**2 + 4. Let n be f(z). Solve -2*h = -4*g - 0 - 4, 5*h = n*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011110000001000100110 - -100?\nAnswer: -1001110011110000001000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 7 + -4 + -5 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -914 take away -320?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 + 69 - (2 + 3 + -6) and 270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12870?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -105964767, -211929547, -317894327, -423859107, -529823887, -635788667?\n\"Answer: -105964780*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7078559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 plus 20743.2811?\nAnswer: 20823.2811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + 21*v**3 + 29*v**3 + 3*v**3.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3675 divided by 95\nAnswer: 735\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (65\/(-4))\/(-5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73163158 bigger than 365815797\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29571 is divided by 279.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -0.5, -0.131, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -24777.3035 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f6866 + 18?\nAnswer: -f684e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a + 151. Calculate the remainder when (3\/(-9))\/(3\/(-45)) + 68 is divided by h(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1332 + 1409. Calculate the greatest common factor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 262*p + 16005.\nAnswer: (p - 165)*(p - 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 13*x**2 + 14*x - 18. Let z be p(12). Solve -2*i + z*i - 23 = -y, -4*y = 5*i - 37 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*x**2 + 36*x - 36*x + (-15*x + 17*x + 15*x)*(x - 2*x + 0*x).\nAnswer: -51*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 365, 0.1, -47, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 29. Let a be r(-15). Is 35\/a*564\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3711, 14863, 33451, 59475?\n\"Answer: 3718*j**2 - 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 19*r - 23. Let b be s(-16). Let g(k) = 15*k - b - 2*k + 48 - 19. Let t(i) = 2*i. What is g(t(j))?\nAnswer: 26*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, -0.4, -283, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0215 - 0.02150474. What is z rounded to seven dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2630 and -7375.\nAnswer: -19396250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 - 39*y**2 + 10*y + 2. Let h be m(-10). Solve w + 6 = 2*u + h, 3*w + 3 = -3*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 70. Let r be 1\/4 - l\/(-20). Suppose -x = t - 1 - 4, r*t = 2*x + 14. Solve y - 9 = -q, 5*q - 4*y = 3*q - t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892160 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b - 1430*b**2 - 1431*b**2 - 60 + 2862*b**2. What are the prime factors of i(24)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -d4ce4?\nAnswer: -d4ce1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -139. Let l = i - -565\/6. What is the nearest to 2 in l, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.87556 rounded to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 52142.\nAnswer: 5\/52142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6926053847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -1a?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -384049.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 103004*v**2 + 10 + 3 - 13 - 102983*v**2. Let y(x) = -76*x**2. Give y(j(m)).\nAnswer: -33516*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135820303*j**3*y**2 - j*y**2 - 165698600*y**2 wrt j.\nAnswer: 814921818*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(6 - 4 + 5)*(7*t**2 + 13*t**3 - 7*t**2)*(3 - 2 - 4).\nAnswer: -546*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 2*g - 1. Let n be w(1). Find m such that -4*m**n + 6*m**3 + 0*m**4 - 3*m**2 + m**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940)*-2)\/(1*sqrt(12)*3)*-2.\nAnswer: 28*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*j - 9492, -4959 - 4533 = -2*t - j. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2865?\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(363)*2)**2 - (sqrt(363) + sqrt(363) + -4*((sqrt(363) - sqrt(363)*2) + sqrt(363))))*4.\nAnswer: -88*sqrt(3) + 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from qqqqiiiiiqqi.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 35 = 47 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8*n + 101 = -107, -76 = -2*z - 4*n. Calculate the least common multiple of z and 248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5330722+0.1\nAnswer: 0.6330722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843864.\nAnswer: 2, 3, 7, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**3\/7 - 963*v**2\/7 - 309123*v\/7 + 464. Find r such that m(r) = 0.\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkyl when four letters picked without replacement from {y: 4, z: 5, k: 1, a: 2, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in months?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:23 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/5, -124, -3\/8 in decreasing order.\nAnswer: -0.1, -3\/8, -3\/5, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011560942 to six decimal places.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*12\/(-30) - 3. Find the second derivative of 175*o**5 - 3*o - 3*o**3 + 19*o**3 + t - 174*o**5 wrt o.\nAnswer: 20*o**3 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177932?\nAnswer: 2, 44483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 32, 3, 5 in increasing order.\nAnswer: -0.3, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14ff898 - 18?\nAnswer: -14ff8b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:14 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305*o - 94 + 167 - 71 + 387*o to the form g + j*o and give j.\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*k - 44*k - 40 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 - -458. Let a = -138 + y. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 302308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11713 + 138848?\nAnswer: 151662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k**2 + 3*k + 3. Let j(n) = 5*n - 158. Let z be j(26). Let g(b) = 126*b**2 + 28*b + 28. Determine z*c(o) + 3*g(o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**4\/24 - f**2. Let b be o(0). Let p = 42 - 39. Solve w + p = -b*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13301102 (base 4) to base 6\nAnswer: -403202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 9069*n**3 + 9835749*n**2 - 4413747855*n + 648413319444 = 0. Calculate n.\nAnswer: 284, 913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/45 - 53*d**5\/15 + d**4\/18 + 106*d**3\/9 - 521*d + 2. Let o(c) = 0. What is c?\nAnswer: -106, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 891.1 + -891. Let g = 0.3 - 2.3. Which is the closest to k? (a) g (b) -15\/4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4442 - -34004121?\nAnswer: 33444124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ee1 (base 15) to base 9.\nAnswer: 14774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/27*(-18)\/(-4). Let x(d) = d - 5. Give x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*f - 184*f = 47*f + 9216 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (76*-467 - 2)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(0 - (-1 + 2)). Let l(j) = 4*j**3 + 2*j - 1. Let f be l(o). Let i = 8 - 5. Which is the nearest to 0? (a) 0.5 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 536, 1564, 3278, 5678, 8764, 12536?\n\"Answer: 343*i**2 - i + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 + -2 + 0 and (165\/(-27))\/(2\/3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22577336\/19 - 1188899. Let h = f - -1855\/3. Does 1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 715.3277 and 1.6.\nAnswer: 716.9277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1165*x**3 + 5962*x**2 - x - 1.\nAnswer: -6990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**7\/840 - j**4\/12 - 2*j**2. Let z(v) be the second derivative of u(v). Let i(t) = -t. Give i(z(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2140404 (base 5) to base 16\nAnswer: 9073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92 + 31?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3\/12 - 39*a**2\/4 + 1521*a\/4 + 118. Find t such that i(t) = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11110 - 232315?\nAnswer: -221205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 2*o - 2. Let p be s(2). Let c be 0 - -6*(-1)\/p. Suppose c*i + 4*v = 4, -3*i + 13 = -3*v - 26. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -46800, 11 in descending order.\nAnswer: 11, -2, -46800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) -2 (c) 0.05 (d) 0.8 (e) -0.7 (f) 5 (g) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335745 is divided by 23358.\nAnswer: 8733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2477181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/39 - 632\/(-52). Suppose -3*m + 51 = -5*o, -3*m + 38*o + 39 = 37*o. Calculate the highest common factor of m and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*2*6\/(-10). Suppose -3*u = -3, -2*b - 2*u = -p*b + 22. Suppose 3*q = b*q - 81. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11884, -11898, -11926, -11974, -12048, -12154, -12298, -12486?\n\"Answer: -r**3 - r**2 - 4*r - 11878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2891*i - 2960*i = -3105. Solve 2*z + i - 38 = -k, 4*z = -k - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -467757.\nAnswer: 2806542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 5) to base 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38 + 0.063\nAnswer: 38.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -2*u**3 + 59 - 9\/2*u**2 + 6*u. Let h(d) = 0. What is d?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 442 - 364. What is the remainder when f is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 - 35*x**2 - 75*x - 35. Let l(u) = -u - 1. Let c = -55 - -56. Let b(n) = c*i(n) + 10*l(n). Find t such that b(t) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2. Let f(v) = 5297513*v. Calculate f(c(q)).\nAnswer: 15892539*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from tnxnnxnnrnrnrnrnn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*w - 61*w - 238*w.\nAnswer: -218*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 19. Let f be l(14). Calculate the common denominator of f\/46 + -10*20\/50 and -57\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 13*m - 33378. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 2*x = 3*s - 5, 206*s + 14 = 208*s + 12*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285.117 or 1.01?\nAnswer: -285.117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**(-47)*((g\/(g**(-10)\/g)*g)\/g)**(-32) assuming g is positive.\nAnswer: g**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(220)\/sqrt(5)*-3)\/(sqrt(4) + -5*sqrt(64)).\nAnswer: 2*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2831 or 2833?\nAnswer: 2833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-909)\/(-6666) - (-305)\/22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 6*b**2 + 6. Suppose -12 = 4*h + 36. Let p(r) = -r**2 + 1. Give h*p(y) + 2*d(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - x**2 - x + 1. Let u(n) = 36*n**3 + 34*n**2 + 34*n - 34. Calculate 204*m(b) + 6*u(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.9530602 or -2\/9?\nAnswer: 0.9530602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 88\/3*a**3 - 39 + 2*a - 106*a**2. What is the first derivative of z(w) wrt w?\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 - 164. Calculate the remainder when 134 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/14*(0 - -1). Let j(z) = 4*z + 9. Let x(a) = a + 2. Let p(f) = 2*j(f) - 9*x(f). Let d be p(y). Solve -14 + 2 = d*i - 2*g, -2*i = -4*g - 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 0) + 10\/(-5). Let x(n) be the second derivative of n**3\/3 + n**2\/2 + 246*n. Let v be (2 - 1\/2)*4. Let m(r) = -r. What is j*x(d) + v*m(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 - 4*d. Let t(z) = -z**2 + z. Let a(i) = -m(i) - 4*t(i). Factor a(g).\nAnswer: g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -3, -13, -1.\nAnswer: -13, -7, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253 divided by -2018.\nAnswer: 253\/2018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*0.178\nAnswer: -0.01246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 7. Let u = -8 - j. Which is the third biggest value? (a) u (b) 1 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from lnddlldll.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 + f**2 + f**2 + 2*f**2 + f**2 - 5*f**2 + (-f**2 - 4*f**2 + 3*f**2)*(-1 + 3 - 1) - 2*f + 2 - 3*f**2 - 2.\nAnswer: -10*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 7276, -13 in decreasing order.\nAnswer: 7276, -2\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.314 + -1.314. Which is the third smallest value? (a) f (b) 1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73942681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 12:41 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) -2\/9 (c) 1 (d) 0.0278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y**2 - y**2 + 0*y**2)*(3*y + 0*y - y) + 3*y**3 - 13 + 13)*(-y - y + 0*y).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:25 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6*j + 120 = 0. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3885\/29 + -135. Let p = 237\/145 + l. Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u + 2. Let b be i(-5). Let p(r) = r. Let y be p(b). Let o(c) = -4*c**y + 46 - 46. Let s(t) = -5*t. Give s(o(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10292717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 887, 886, 885, 884, 883?\n\"Answer: -p + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*3*6 - -3*sqrt(133)*5)\/(sqrt(1792) + (sqrt(70)*1)\/sqrt(10)).\nAnswer: 33*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, -1, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 674180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*m + 1461*m = 8554 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191 and 1028917?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19959963 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.65 - 7. Let a = -0.05 + k. Sort -1\/4, a, -0.5.\nAnswer: -0.5, a, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16463 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1013 + -1013.1. What is the second biggest value in 9.2, 8, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1724)\/324112)\/((-2)\/16)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3248 + 3569 - 2305 + 7933)*(5*q**4 - 3*q**4 - 3*q**4).\nAnswer: -12445*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzdddyddedzedzezjedd. Give prob of sequence je.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200.42829 rounded to 0 decimal places?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3032759 decades to millennia.\nAnswer: 0.003032759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -924.58.\nAnswer: 924.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-12)\/(-72))\/((-2)\/12). Let z = 1.1 - 0.1. Let l = 1.4 - z. Put l, o, -4 in increasing order.\nAnswer: o, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3 - 132*p**2 + 414*p = 0 for p.\nAnswer: -69, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (3 + sqrt(468))**2 + sqrt(468) + (sqrt(468)*2*-3)**2)*4 + -2.\nAnswer: 1008*sqrt(13) + 415822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - -187. Solve 0 = -7*h + 12*h - x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54605*d**3 + 27*d - 3129 wrt d?\nAnswer: -327630*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-24)*4 - 4. Which is the nearest to -2\/7? (a) -0.2 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13747 less than 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2. Suppose 18*t - 7*t - 275 = 0. Let z(d) = 19 + t - 6*d - 44. Calculate g(z(n)).\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -219, 1 in descending order.\nAnswer: 9, 1, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*q + 334*q = 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 - -0.7. Which is the second smallest value? (a) -1 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 95?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4517667562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/((-1293)\/(-8988) - 6\/42). Calculate the highest common factor of 48 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.91 - 0.09. Let s be (10\/(-325))\/((-2)\/10). Let t = 3\/23 - 73\/207. Sort t, s, y in descending order.\nAnswer: s, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 54*q + 1\/2*q**4 - 18 + 6*q**3 + 27*q**2. Factor l(r).\nAnswer: 2*(r + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*3\/18*-8. List the prime factors of 43 - g\/8*0.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272172274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 - 23*f - 200. Determine m(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*a - 33, 4*s - 6*a + 9 = -a. Let w(y) be the first derivative of 1\/2*y**2 + s*y - 3. Determine w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, i: 6, y: 3, w: 4, u: 2}. Give prob of picking 1 n, 2 i, and 1 y.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**3\/3 + s**2\/2 - 1. Suppose x + 15 = -2*x. Let w be x\/15 + 19\/3. Let d(c) = -7*c**2 + 8*c. Give w*v(r) - d(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 1 + 7. Let q(u) = u - 3 - o - 5. Let g be q(12). Solve -3*t - 12 = -0, -s + g*t + 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 12. Let c be (-4)\/((-32)\/d)*-36. Let j = 11 + c. Calculate the remainder when 84 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 2, d: 3, y: 5}. What is prob of picking 3 d and 1 p?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2*i - 8. Let f be q(4). Put 4, f, -2, -4 in decreasing order.\nAnswer: 4, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 7*v + 1. Is 7 a factor of l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592886261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 9*j**2 - 10*j - 4. Determine b(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1057303135*a**4 + 126465451*a - 5 wrt a.\nAnswer: -12687637620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11824*m + 5912*m + 8*m**2 + 5912*m.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72 - 175) + 192 - (-37 + 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 10) to base 15.\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1103*t - 10043. Determine h(-9).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -898242414*i**2 - 898242396*i**2 + 1796484816*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4239.9995846 + -4240. What is p rounded to 5 decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -14*h**3 - 3*h**2 + h + 56. Let n be g(-5). Which is smaller: n or 1728?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.277\nAnswer: -0.0554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + n + 14 = 26, -k - 2 = -2*n. Solve k = -w + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*a + 1, 8*a = -4*h + 9*a + 8. Suppose -i + h*s + 30 = 0, 5*s = 6*s + 4. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8511 - -42578\/5. Which is the closest to 1\/3? (a) 0.1 (b) 1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 2*q**3 + q**3)*(-4 - 4 + 2)*(46 + 19 - 6)*(0*q - 2*q + 3*q).\nAnswer: 354*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + 29. Let u be d(-9). Suppose -3*f = -l + 44, u*f - 2*l + 20 = -8. What is the common denominator of ((-92)\/(-64))\/((-5)\/f) and 123\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 13, c: 3}. Give prob of picking 3 c and 1 x.\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 53*l**3 + 215*l + 64. Let g(x) = 16*x**3 + 72*x + 21. Determine -10*g(k) + 3*z(k).\nAnswer: -k**3 - 75*k - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578 is divided by 244?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 5:15 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 32 = f, -360 = 5*d + 2*f - 371. Let n(m) = -3*m**2 + 3*m**2 - 3 + 4*m**2 + 3*m. Let c(u) = -9*u**2 - 7*u + 6. Determine d*n(v) + 2*c(v).\nAnswer: 2*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1633 = 11*s - 13*s, 0 = -4*s - 4*i + 3272. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 177 = -2*b, 3*b + 2*q + 101 = -184. What is the units digit of (6\/(-2) - (-6 + 10))*b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72174 is divided by 72160?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -47 + 17. Which is bigger: c or 13\/16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/7, -4, 1\/72142, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 13*d - 22. What is the units digit of p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1743698*f**2 + 4055323*f wrt f.\nAnswer: -3487396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*g - 267 - 1204 - 921 = 336 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 113\/3. Suppose -u + 3*t - 9 = -4*u, 12 = -4*u + 4*t. Which is the nearest to -2\/19? (a) m (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 6*m - 5. Let u be d(3). Solve 0*q + u*q = 2*c - 8, -6 = 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d**2*k*u**3 - 8*d**2*k*u**2 + 289*d**2*u + d*k*u**3 - 4*d*u**2 - 659*k*u**3 wrt d?\nAnswer: 20*k*u**3 - 16*k*u**2 + 578*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.05, -2\/25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3 - 478*d**2 + 25156*d - 48392 = 0.\nAnswer: -526, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1209, -2415, -3647, -4917, -6237, -7619?\nAnswer: -9075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 12 = -3*n. Let c(h) be the second derivative of -25*h**3\/6 - 12*h**2 - 3*h. What is the units digit of c(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14385 is divided by 1533?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -50*w**2 - 17*w - 37. Let r be m(-2). Let n = 401 + r. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 10. Let p = 249 + -149. What is the greatest common divisor of f and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 16*n - 1. Let m be s(-1). Let f = -11 - m. Solve 2*d - 3*d - 3*h = f, 0 = 3*d - h - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let g = 0 + l. What is the units digit of (4\/10)\/(g\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2 + 5*j**2 + 0 + 1. Let m(d) be the second derivative of -d**4\/12 + 17055*d. Determine m(k(x)).\nAnswer: -25*x**4 + 10*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188946 - 188954 - 209*n + 377901)*((-3 + 2 - 1)*(-2 - 2 + 2) + 0 + 1 + 1)*(-4 + 0 + 3) to the form h*n + q and give h.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*m = -24, c - 4*m = 2*c + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2. Let l(w) be the second derivative of 5*w**4\/8 - 25*w**2 + 3*w + 4. Let j(t) be the first derivative of l(t). Calculate j(c(i)).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71330 is divided by 1426?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 2 + sqrt(208)*1 - (sqrt(208) + -1)*-4) + -4*-6*sqrt(208)*2)**2*-1*-6.\nAnswer: -5184*sqrt(13) + 3639192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -5 - -1) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -159, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -70, -69, -68, -67, -66?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -107, -12, -3, 3, 1 in decreasing order.\nAnswer: 3, 1, -3, -5, -12, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 2\/3, -20, 24, 1 in descending order.\nAnswer: 24, 1, 2\/3, 0.06, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/7)*f**(2\/15))**(-44) assuming f is positive.\nAnswer: f**(-5896\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18050036.\nAnswer: 2, 823, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/60 - 3*b**2. Let a(q) = q**2 - 7*q - 7. Let r(u) = -3*u - 3. Let f(x) = -3*a(x) + 7*r(x). Determine f(i(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 + -65. Let b = t + 292. Solve 0 = b*o - 13*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**4\/4 + 14*a**3\/3 + 15*a**2\/2 + 10*a + 8. Let u be s(15). Find the second derivative of 49 + 9*l - 49 + u*l**4 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1219 - 2437\/2. Let v = -10 + 6. Find the common denominator of 0 + 158\/v - -2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11654 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14730.\nAnswer: 2, 3, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**3 - 118*k**2 - 11*k - 19. What is the thousands digit of b(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97125, -194250, -291375?\nAnswer: -388500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.97 + 5.5. Round v to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -1\/24*x**4 - 7\/60*x**5 + 0*x**3 + 0*x + 6*x**2 + 0. What is the second derivative of t(o) wrt o?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 7:47 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 8 = -7*b. Let j(s) = s**3 + 5*s - 11. Is j(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 - -2. Let m = h + -0.1. Let t = m - -0.3. What is the third smallest value in 3, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -49 - (1 + -2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaazzaaazaaaaz. What is prob of picking 3 a and 1 z?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 4*s - 5. Determine i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 57 = 2*s, -2*m + 5147*s + 103 = 5144*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10648, -42595, -95828, -170347, -266152, -383243?\n\"Answer: -10643*r**2 - 18*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2734 = -3*w, -w + 1369 = r - 3*w. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by 2?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1812 times 5?\nAnswer: -0.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 2. Let x be n(3). Suppose -7*o = -x*o + 88. What is the remainder when 60 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*b - 144280018, 4*i + 4*b = -160337624 - 416782400. Round i to the nearest one million.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 13*g - 2. Let i be z(6). Suppose i + 65 = -5*q. Let u = -2 - q. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762464 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + i, -2*n + 6*i = i. Suppose -3*r + 0 = -6. Differentiate n + 0 - 2*m**r + 1 - m**2 with respect to m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c + 5. Calculate s(-12).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + -18a?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13450, 2, 344 in decreasing order.\nAnswer: 13450, 344, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - -1) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(3 + -4) + -17. Let x = 23 + q. Calculate the least common multiple of (-6 + 0)*3\/(36\/(-14)) and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -4345045?\nAnswer: -4345041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (4 + -3)*4. Let l(m) be the third derivative of 1\/4*m**4 + 2*m**2 + 0*m - 1\/6*m**3 - 1\/60*m**5 - 6. What is l(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.5002222 take away 138?\nAnswer: -166.5002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 11. Let g(z) = z - 1. Let h(x) = 4*x + 0 - 1 - 3 - 1. Determine j*g(b) - h(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 + 62*c - 425. Calculate z(-11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 32*r - 27*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from {c: 3, z: 13}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 - 4\/(-12). Let w be (-48)\/10 + h\/(-5). Let k be (-1)\/w - 24\/(-5). Solve -k*g + a + 7 = -0, 3*a - 9 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d - 2*d)*(4 - 1 - 4)*(6*d - 5*d - 3*d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -809, -2481, -5705, -10997, -18873?\nAnswer: -29849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14075, -14016, -13957, -13898, -13839, -13780?\n\"Answer: 59*b - 14134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let g(q) be the first derivative of q**2 + 2*q + 98. Let k(r) = -r**3 - 4*r**2 - 3*r - 5. Let u be k(-4). What is u*a(b) - 4*g(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108 in 1, -9, -2\/5, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252510\/6645 - (-2 - (-1 + 8)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - o - 5)*(2 - 2 + 32)*(-o**2 + 5 - 5) to h + w*o**2 + s*o**3 + f*o and give w.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1916348 and 13842?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(76518\/68779) + -1 + 38\/26.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnzyws. Give prob of sequence sw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 6, -3*y + 8*y + 1 = -3*c. Solve 0*w + c = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -30. Let j(t) = t**3 - 7*t**2 + t - 5. Let i be j(c). Suppose 0 = 2*g + 3*g + i*r - 84, -3*r = -6. What is the greatest common divisor of 80 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 76122 + 76122.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuuuuuucuupuuuupupp. Give prob of picking 1 u and 1 c.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6141, 6231, 6321, 6411?\nAnswer: 6501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1272009, -1272010, -1272007, -1272000, -1271989?\n\"Answer: 2*d**2 - 7*d - 1272004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3*k**2*z - 2*i**3*k**2 - 2*i**3*z - 18*i**3 + 4*i**2*k - 7*k**2*z + 2*k*z wrt k.\nAnswer: -6*i**3*z - 4*i**3 - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 19*p**2 - 110*p - 2123. Determine q(-19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4887 - -4892. What is the third smallest value in c, -0.5, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 5. Let j be o(3). Suppose 4*f = f + 2*i - 14, -4*i = -j*f - 20. Let z = -141 - -144. Which is the second smallest value? (a) 4\/7 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5407080 is divided by 51991?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (579 - 570).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.4 - 19. Sort -4, t, 0.5 in descending order.\nAnswer: 0.5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8087.669 millennia in months?\nAnswer: 97052028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -15, 2 in descending order.\nAnswer: 9, 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/(-20))\/(521\/(-275937230)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -41. Let n be (-18)\/(-45) + g\/(15\/(-156)). Let w be (-2449853)\/35 + -4 + 2\/n. What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4845056 and 11264.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y = -129*y - 1455 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, 625, 624, 627, 634, 645, 660?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/(p*p*p*p**(1\/2)))\/((p*p*p**4*p)\/(p*(p**(-6)*p)\/p)) assuming p is positive.\nAnswer: p**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9702 = 1468*u - 1567*u for u.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -168*a + 7389. What is b(44)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**3 - 3*k**2 + 3. Let g(s) be the second derivative of 11*s**5\/20 - s**4\/3 + 2*s**2 + 23*s + 3. Give -3*g(u) + 4*z(u).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/30875 - 685429\/61750. What is the common denominator of -21\/2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 6 + 3)*(-4*m**3 + 6*m**3 - 22*m**3) to the form v*m**3 + b + g*m + d*m**2 and give v.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25635034 - -4?\nAnswer: 25635038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/102 + 380*u**3\/51 + 36100*u**2\/17 + 327*u. Factor w(y).\nAnswer: 2*(y + 190)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217.9 + -217.8. Which is the smallest value? (a) k (b) -22 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 2, q: 1, r: 1, s: 4}. Give prob of picking 1 x, 2 s, and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-49)*-21 - 4. Which is bigger: m or -4\/131?\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 5)*(2*g**4 + 7*g**4 + 2*g**4 + (-2*g + 4*g - g)*(-1 + 1 - g**3) + 2*g**4 + 3*g**2 - 3*g**2 - 3*g + 3*g + g**4).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a factor of 614879968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*z + 105 = -346*z. Suppose 5*h = z + 130. Solve 5*b + 3*g - h = -8, -2*b = 5*g - 29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -11\/15 (b) -1\/5 (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.887341 meters in centimeters?\nAnswer: 188.7341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167 + -159. Find the first derivative of -2 + 36*j**2 - v - 22 wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15468 and 186.\nAnswer: 479508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37 + 628*i**3 - 75 + 31567*i**2 - 31567*i**2 - 167 wrt i.\nAnswer: 1884*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2606 = 929*k + 12830 + 4073 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26623*h - 53256*h + 26634*h + a = 3, 1 = 5*h + 3*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -746 + 727\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11131 (base 4) to base 5\nAnswer: -2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151714 is divided by 98.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357 or 356?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1702158 + 7*c**2 - 1702158.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + -3 + (sqrt(204)*5 - sqrt(204))\/sqrt(12) - (4 + -5*(sqrt(17) + 2) + 1*sqrt(17)*-5)**2.\nAnswer: -1739 - 115*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57741.9953503 - 57742. Let j = 0.0047 + l. What is j rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 162*c**2 + 991*c + 1109. Determine m(168).\nAnswer: -1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4*2\/(-16))\/((-65)\/975*-15)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152839764?\nAnswer: 2, 23, 12530867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.512688 rounded to three decimal places?\nAnswer: 0.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, g: 7}. What is prob of sequence gxg?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*m, 2*g = -3*m - 17 + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236 (base 8) in base 11?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + z + 1, 1 = -5*t - z. Let o = t + 11. What is the greatest common factor of o and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1697663 and 0.5.\nAnswer: -848831.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 2. Let g be h(2). Suppose -3*b - 5*c = -243, b + 4*c - 89 + 1 = g. Suppose 4*r - b = -0*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 divided by -5?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22935564 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 16. Suppose 0 = t - f - 6, -2*f - r = 2. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 709.56 and -155.\nAnswer: -109981.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*x - 30 = 12, 5*d - 73 = -4*x for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let s(l) = -4*l. Let m(g) = -105*g. Let c(i) = -2*m(i) + 42*s(i). Give c(f(b)).\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 + (-1)\/((-56)\/24)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 8 = 2*t + y, 4*y = -t + 22. Suppose 3*i + r - 2 = 0, 0 = -0*i + i - 3*r - t. What is the tens digit of (-1)\/i*(-3 + -99)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 1540044*g - 592933880484.\nAnswer: -(g - 770022)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**3\/2 + a**2 - 111*a. Determine u(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1062 and 4.\nAnswer: 0.4248","meta":{"dup_signals":{},"source":"arithmetic__mul_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 the smallest value in 2\/127, 0, 128\/3, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.27 + 16.87. Which is the fourth smallest value? (a) 2\/9 (b) i (c) -9 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Let i be 2*(-1 + j + 1). Let z = 227 + -212. Solve 4*q = -a - 15, -a + i*a + 2*q = -z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318080 is divided by 3971.\nAnswer: 3679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 9*i**2 - 13*i - 6. Let q be u(7). Let g(h) = 197*h**2 - h - 1. Let b be g(q). What is the highest common divisor of b and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 + 18055008*h**2 + 27165221991567*h - 162991981930338 = 0. What is h?\nAnswer: -3009171, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -1724864.2?\nAnswer: -1034918.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -8698 in ascending order.\nAnswer: -8698, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 8. Suppose -4*b = -7*b - 3*r - 6, -4*b + 4*r = 24. Let u be q(b). Let o be (-5*1)\/((-2)\/10). Solve -o = -u*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337442?\nAnswer: 2, 7, 24103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/60 + 5*r**4\/24 + 23*r**3\/6 + 4*r**2 + 27*r. Calculate l(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71450101*u**2*x**3 + 2*u**2*x**2 - 30*u**2*x + 2*u**2 + u*x**3 - 36*u*x - 537*x**2 + 2*x wrt x?\nAnswer: -428700606*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(228))\/sqrt(12) + sqrt(19) + 2 + 0 + sqrt(19))**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 y when four letters picked without replacement from {y: 4, s: 16}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16*((-9)\/(-6) + -1). Let j be (-44)\/(-3) - (-14)\/42. Let k = j + u. Calculate the remainder when 11 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-3)\/(-168)*12.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**8\/28 - 251*b**7\/21 - 1811*b**4\/12 + 2*b + 647. What is the third derivative of t(v) wrt v?\nAnswer: -240*v**3 - 30120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0*k**3 + 4*k + 4*k**2 + 0 + 1\/4*k**4. What is the derivative of u(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, p: 2}. Give prob of picking 1 y and 1 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*y - 32, -3*v - 91 + 130 = -3*y. Solve -5*m + 29 = -2*f, -3*m - 9*f = -v*f - 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let f(y) = y**2 + 1. Let t be f(0). Suppose -5*u - t = -6. Sort u, 2\/17, p in descending order.\nAnswer: p, u, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178152115 a multiple of 980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 846 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -u - 9 + 6, -6 = 2*u - 4*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 5*q + 25, q = 2*y + 11. Let t(f) = -f**3 - 1. Let n be t(1). Let g be ((-2)\/12)\/(n\/(-8)). Which is the nearest to g? (a) y (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.08815 rounded to zero decimal places?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*a + 4*d, 5*a + 2*d + 12 = -18. Let y = a - -20. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 5:22 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(((-32)\/6)\/(-4)). Suppose -b*i = -d + 9, i = 5*d - 4 + 1. Let k(w) = -w**3 - 4*w**2 + 2*w + 3. What is k(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7411034?\nAnswer: 2, 107, 34631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i**2 + 5*i + 6. Let j(y) = 38*y**2 - 14*y - 17. Let w(x) = 6*j(x) + 17*t(x). Let s(q) = q**2. What is w(s(f))?\nAnswer: 7*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4066585613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q - 561*q + 1892 + 6626 = -2920 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -18*q + 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -285, -2311, -7815, -18537, -36217, -62595, -99411, -148405?\n\"Answer: -290*d**3 + d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -56, -154, -308, -536, -856?\n\"Answer: -3*h**3 - h**2 - 36*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4237614 and -137\/16950456.\nAnswer: 16950456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**5\/60 + 5*s**4\/12 + s**3\/3 + 3*s**2. Is y(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/5 - 3237*j\/5 - 19386\/5 = 0.\nAnswer: -3231, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-1)\/(-33)*(-9 - -7)). Suppose 5*c + 27 = 4*v, 0*c + 2*v + 39 = -5*c. Is p at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/100)\/(((-1024)\/10240)\/((-2)\/(-4)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280489.\nAnswer: 11, 43, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 1. Let y(q) = 6*q - 4. Let n be 15\/2*(-4 - -6). Let m(z) = n*s(z) + 3*y(z). What is the first derivative of m(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + i + 33, 20 = 5*v - 4*i - 22. Suppose 5*y - 14 = -d, -3*y + 2*d + 3 = -8. Let m(r) = -3 + r**y - r - 5*r - 6*r**2 + 6*r. Determine m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 - 2 - (9 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.166 to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3732082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5*t**3\/3 - 1. Let s(p) be the first derivative of p**3 - 1700. Calculate x(s(v)).\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11740260 is divided by 1467508?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 + 20*b + 1573. Let k(w) = -20*w**2 - 69*w - 4720. Determine -2*k(u) - 7*n(u).\nAnswer: -2*u**2 - 2*u - 1571","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 less than or equal to 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36887573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*v**3*x - 2*b**2*v**2*x - b**2*v**2 + 14*b*x - 6*v**3*x wrt b?\nAnswer: 6*v**3*x - 4*v**2*x - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -102, 2555, 3, 5, 4 in descending order.\nAnswer: 2555, 5, 4, 3, 1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 17*d = 9. Put d, -0.24, 2\/7 in descending order.\nAnswer: d, 2\/7, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t - 62*t = 204. Calculate the remainder when t is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -0.344163351022.\nAnswer: 0.055836648978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/4 - (-2)\/4. Suppose -8*b + 3*b = q. Let o = -81 + 85. Put o, 5, b in decreasing order.\nAnswer: 5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -159, 686, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:12 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqyykknnkenykqqqnn. What is prob of picking 1 q and 2 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(13) - (sqrt(468) + 1)) + -4)*-3 + 2 + 3)**2.\nAnswer: -420*sqrt(13) + 3121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 10:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3516\nAnswer: 10548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/4877?\nAnswer: 3\/4877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**3 + 2*v**2 + 3*v + 2. Let z be a(-1). Let h(l) = -4*l**2 + 7*l - 13. Let x be h(z). What is x rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25355*p**2*u**2 - 6*p**2*u + 3*p*u - 231 wrt u.\nAnswer: 50710*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-2)\/(-4)*0. Suppose 4*h - 80 = -z*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003331947 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 15 = 10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6082.\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 183*n + 587. Let s(j) = -61*j - 196. Let y(f) = -3*k(f) - 8*s(f). Find the first derivative of y(a) wrt a.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/40 and -117\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (21 - (9 - 6))*(1 - 358\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406697 or 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.4992 - -47.5. What is c rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - 5.5. Let p = z - -5.8. Let k = 1.20000018 + p. Round k to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15627 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63, -2\/17, -3, -2\/7, -70, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72079939 to the power of 1\/2, to the nearest integer?\nAnswer: 8490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4273659?\nAnswer: 3, 13, 36527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 116659951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/(s*s\/(s*(s*s**(1\/5))\/s)))\/(s**(-1\/4)*s**(-3)) assuming s is positive.\nAnswer: s**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*r - 30 + 378 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 11*i + 11. Let u be y(10). Let s = u + -19. Let l(k) = 53*k + 0*k**2 - 136*k + 39*k - 2 + k**2 + 43*k. Give l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3825)\/(-50) + -2 - (0 + 3\/6). Solve -3*k + b = -4*r + 78, -12 = -2*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 7. Let z = d + 14. Let a = -1 + 2. What is the lowest common multiple of a and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h - 26 = 130 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3741 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.95 + -46. Sort -1, q, -2, 2.\nAnswer: -2, -1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1506 - -2191. What are the prime factors of o?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*r**2 - 172*a + 89*r**2 - r wrt a?\nAnswer: -2*r**2 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2790 and 246078?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 5 + 3*o - 4*o. Let l(v) = -6*v - 6. Give -5*i(q) - 4*l(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 16890.\nAnswer: 33780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n - 82 = 0. Let c = 71 + n. What is the remainder when c is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9792 is divided by 138?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 535 = -59*b - 535. Suppose 78\/5*f**2 - 36\/5*f + 18\/5*f**4 + b - 2\/5*f**5 - 58\/5*f**3 = 0. Calculate f.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420, 423, 426, 429, 432, 435?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5712 + 0.2712. Which is the nearest to 1\/3? (a) -0.19 (b) z (c) -3\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-33)*s)\/s)**31 assuming s is positive.\nAnswer: s**(-1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234672 and 40564033.\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/28 + -6\/7. What is the smallest value in -2, z, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + w + 1. Suppose -5*c = 4*t + 40, -2*t + 4*c + 6 = -0*t. Let f(g) = 209*g - 5 - 91*g - 93*g + 8*g**2 - 30*g. Give t*n(a) - f(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2 - 14118*y - 16609827 = 0.\nAnswer: -2353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/8)*27\/(-54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4145\/1650 + 5\/(-2))*-234. Which is smaller: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115613 (base 7) to base 5\nAnswer: -1134402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4549 (b) -8 (c) -2 (d) 2 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from bswwbcccs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 171782*d\/7 - 8797296.\nAnswer: 2*(d - 86248)*(d + 357)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3131 or -3159?\nAnswer: -3159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133188 is divided by 10243?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10405.226 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, c: 1, k: 2, f: 1, w: 1}. Give prob of picking 1 w and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -21) + -3 - 7) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1516, -3026, -4536, -6046, -7556?\nAnswer: -9066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 21*z = -583. Let g = z - 575. Solve g = -8*l - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*c = -309*c + 34*c - 7248 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f - 869. Give n(43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:39 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0 - 3. Let k be (-14)\/(w\/2 + 1). Suppose -6 = -28*u + 1954. What is the highest common factor of u and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/((q*q**(-4)\/q)\/q)))**20*q**(-8)\/(q**(-14)*q) assuming q is positive.\nAnswer: q**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**2 + 8 - 3*s**2 + 7*s - 6 + 4*s**2 to the form a + i*s**2 + o*s and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26073?\nAnswer: 3, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*j - 32. Calculate the highest common divisor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 11, -27, -75, -127, -177, -219?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 3 - 3) + (4297 - 4264).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 19256.62 to the nearest 10.\nAnswer: 19260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2220 + 54*i + 2220)*(5*i**2 - 3*i**2 - 22*i + 10 + 24*i).\nAnswer: 108*i**3 + 108*i**2 + 540*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l. Suppose 0 = 5*x + 4*f + 5, 0 = x - 0*x + f. Let s(o) be the first derivative of 2*o**2 - 643. What is x*s(g) + 7*w(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103995206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19192 + 60397. What is b rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, -1\/10, -2, -6 in descending order.\nAnswer: 3, -1\/10, -0.5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*d - 34, 5*w + 10*d + 140 = 5*d. Let u be 0 + 1 + 27 + w. Factor 0 + 0*h - 1\/6*h**5 - 1\/3*h**u - 2\/3*h**4 - 5\/6*h**3.\nAnswer: -h**2*(h + 1)**2*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d**2 - 3. Let s be (-6)\/(-9)*-3 + 6. Let f(q) = 0 - 1 + s*q**2 - 5*q**2. Let b(t) = -3*f(t) + o(t). Let l(y) = -y**2. Determine b(l(v)).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06387, 0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from cllchcllhcc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270358, 270289, 270220, 270151, 270082?\nAnswer: 270013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177009?\nAnswer: 3, 7, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13124984*k**3*r**2 - 178*k**2*r**2 - 7*k**2*r - 3*k**2 + 2*k*r**2 + 2*r wrt k.\nAnswer: -78749904*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6)*(-6)\/(-10). Let n = -132 + 162. Let o be ((-2)\/(-4))\/(n\/20). What is the second biggest value in r, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 19484.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 1 (c) 0.2 (d) 74 (e) 14 (f) 5 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 20663\/2?\nAnswer: 20663\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-44)*h*h\/h**(2\/113))\/((h*h\/(h**(-45)\/h*h))\/(h\/h**(-10\/7))) assuming h is positive.\nAnswer: h**(-67701\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 21*m + 53)*(m**2 - m**2 - 2*m**3).\nAnswer: -42*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 668.8658 weeks?\nAnswer: 4682.0606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {s: 1, z: 2, e: 1, n: 3, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*p)*(-4131*p - 3343*p - 239*p + 148*p - 179*p) to h + c*p + f*p**2 and give f.\nAnswer: -15488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i. Let r be u(0). Suppose -5*s = x - 2*x - 15, -4*s + 2*x + 12 = r. Calculate the lowest common multiple of s and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 5*o - 20. Is 76 a factor of s(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/(4\/132). Suppose q*p = 15*p - 12. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, d: 1, s: 2, b: 1, c: 1}. What is prob of sequence wss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 360, 464, 568, 666, 752, 820, 864?\n\"Answer: -f**3 + 6*f**2 + 93*f + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*x**3 + 2*x**3 - 6 + 8 as y*x + c*x**3 + j*x**2 + h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293621 - 2564*x**2 + 2566*x**2 - 293621.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/120 + 7*j**5\/60 + 3*j**2 + 225. Let a(u) = -u**3 + 6*u**2. What is -7*a(m) + 6*c(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 59*r**2 - 16*r - 16. Let g(a) = -29*a**2 + 7*a + 8. Calculate -9*g(j) - 4*i(j).\nAnswer: 25*j**2 + j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30503135 + 46?\nAnswer: -30503056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 9*u - 3*u)*(-2 + 5 - 2) + 8*u + 0*u - 2*u - 4 - u + 4 - 1.\nAnswer: 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3511.112 to the nearest ten.\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*k + 336*k + 3377 = 130*k - 10663 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 62 = -92. Suppose n + 11 - r = 0. Solve h - n*d = 13, h - d + 2 = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 32. Let s(g) = g**2 - 17*g - 46. Does 14 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13012\/4857 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 219437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 z when three letters picked without replacement from {j: 2, y: 6, z: 2, p: 3, b: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1936 != -56145\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*-1*1 - (sqrt(20)\/(-3*sqrt(576) + sqrt(576)))**2.\nAnswer: -12*sqrt(5) - 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4074)\/(-9) + 8\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyslysymyyl. Give prob of picking 2 m and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 4*z - 4, 2*b - 46 = -4*z - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691.5417 hours to nanoseconds.\nAnswer: 2489550120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w + 7*w - 5*w**2 - 3 - 4*w. Let t(m) = -m**2 + m. Determine r(x) - 4*t(x).\nAnswer: -x**2 + 4*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300800*863.\nAnswer: 259590400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**6\/180 + h**4\/3 + 3*h. Let l(q) be the third derivative of o(q). Let n(f) = -3*f**2. Give l(n(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 4. What are the prime factors of t(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 65.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*i**3 + 678*i**3 + 946*i**3.\nAnswer: 1350*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f - 125. Let x be v(-13). Suppose 0 = 2*l + x*s - 1773, -13 = -3*s - 4. List the prime factors of l.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 221*h**8\/168 + h**7\/210 + 193*h**4\/8 + 811*h**2. What is the second derivative of s(w) wrt w?\nAnswer: 8840*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f)\/f)**(-3\/5))**(-1\/18) assuming f is positive.\nAnswer: f**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*q + 32, 2*g - q + 14 = -5*q. Let h = g - 4. Let m be h - (-1 + (-2 - 1)). Which is bigger: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55305683?\nAnswer: 457, 121019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1642670.\nAnswer: -657068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001000110 (base 2) in base 15?\nAnswer: 137b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j - 2091 + 7383. What is the remainder when j is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-36 - (11 - (26 + -12))) - -7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 163\/4940434?\nAnswer: 163\/4940434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h + 0*h)*(-2*h + 2*h - h**2)*(5*h**2 - 4*h**2 - 11*h**2).\nAnswer: 20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19898406 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64476 is divided by 379.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 4936 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -23*q**2. Let t be 4\/(-5)*(-20)\/(0 + 4). Let k be 3*t\/3*26\/4. Let p(f) = -45*f + 21*f + k*f. What is b(p(u))?\nAnswer: -92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) + sqrt(6)\/sqrt(3) - sqrt(2))*3 + (sqrt(2) - (sqrt(98) + -2*sqrt(98)) - (sqrt(48)\/sqrt(2))\/sqrt(12))**2 + -1 + (-4 + 2*sqrt(162))**2 + 5.\nAnswer: -141*sqrt(2) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = m + o, -3*m = -4*o + 3. Suppose -11 = m*s - 5*t, -3*s - 3*t + 13 = -8. Suppose x - 14 = p - 6*p, -x = -5*p + 6. Sort 0, x, s.\nAnswer: 0, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55710.03 millilitres in litres?\nAnswer: 55.71003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**2 + 4221393*p - 5459093 wrt p.\nAnswer: 4*p + 4221393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1871, 1868, 1865, 1862?\n\"Answer: -3*t + 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 448 - 404.6. What is x rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 24\/5, -3\/8, -99, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18 - 4*d + 7 - 7*d**2 + 4*d**2 + 4*d**2. What is the tens digit of g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67189 - -116207. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*u = 6, f - 37 + 9 = 5*u. Factor -3*w**3 + 3*w**4 + f*w**2 - 5*w**3 + 3*w**3 - w**3.\nAnswer: 3*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5, 4*u = -3*i + 29383 + 9244. What are the prime factors of i?\nAnswer: 17, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:13 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000010011110 (base 2) in base 11?\nAnswer: -6301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j - 7. What are the prime factors of z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/60 - 127*s**5\/10 + 3040*s**4 - 36100*s**3\/3 - 27*s**2 - 11*s. Factor v(x).\nAnswer: 2*(x - 190)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Solve -q*b + 0 = -f - 1, 3*b - 5 = -2*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0516 and -11568.\nAnswer: 596.9088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14505750, -29011503, -43517268, -58023051, -72528858, -87034695, -101540568?\nAnswer: -116046483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-i + 5*i - 2*i) + 3*i - i - 3*i + (8*i + 11*i - 12*i)*(0 - 2 + 1) as o + m*i and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/30 + m**4\/24 - 4*m**3 + m**2 + 70*m - 1. Let z(t) = t**2 + t - 24. Give -2*n(u) + 3*z(u).\nAnswer: -u**2 + u - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 124?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -170 - -6?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 13. Let w be n(15). Suppose -2*p = -4*x - 1 - 7, -w*p = -5*x - 4. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17472 = 23*g - 27*g - 5*l, -5*g + 4*l + 21799 = 0. What are the prime factors of g?\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from yyallayhmyay.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 45*a**2 + 3*a - 59. What is t(45)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*z - 512, i - 4*z = -152 + 417. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a5e4 (base 15) to base 12.\nAnswer: -731844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 121\/(-1331) + (-1101)\/(-11). Calculate the highest common divisor of 140 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33440 - 33435 - 4*d - 12*d.\nAnswer: -16*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2114448*p**3 - 257894*p**2 - 2 wrt p?\nAnswer: -12686688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 11) to base 13\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*l + 22*l + 42 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-462))\/(9\/((-441)\/88) - -2).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-575*t**2 + 575*t**2 + 173*t**3)*(5*t - 2*t - t) - 1 - t**4 + 1 + (-2*t + 0 + 0)*(0*t - 4*t**3 + 0*t).\nAnswer: 353*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 12*z + 32. Give f(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 14*g**2 - 2*g + 20. Let i(t) = 8*t**2 - t + 9. What is -7*i(s) + 4*y(s)?\nAnswer: 4*s**3 - s + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o**2 - 260 + 260 + (3*o - o - o)*(-3*o + 0*o + 2*o) - 2*o**2 + 2*o - 2*o - 2*o - 2*o**2 + 2*o - 2*o**2 + 2 - 2 + (-3*o + 5*o - o)*(0*o + 4*o - 3*o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 19*j + 30. Let z be a(-17). Let d(f) = 29*f**2. Let u(v) = 27*v**2. Let n(x) = z*d(x) + 3*u(x). Let q(b) = 6*b**2. Calculate n(q(s)).\nAnswer: -1260*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*j**2 - 196\/3*j - 4802\/3.\nAnswer: -2*(j + 49)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssssqqssssqsq?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 78*q**3 - 501*q**2 - 714*q.\nAnswer: -3*q*(q + 2)*(q + 7)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5574030 by 1858010.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**7\/105 - 4*m**3\/3 - 3*m**2 - 7. Let s(k) be the second derivative of a(k). What is the derivative of s(x) wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -7*s**5\/60 - s**2 - 50. Let i(v) = 3*v - 295. Give q(i(z)).\nAnswer: -63*z**2 + 12390*z - 609175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 + 152. Let z be (w\/(-6))\/((-2)\/12). Let y = 104 + z. What is y rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 25, 73, 133, 211?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0*w)\/((w\/(w*w\/w**1*w*w*w))\/w)*w**3\/w**(3\/4) assuming w is positive.\nAnswer: w**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/m**(-11))\/m)*m)\/m*m\/((m\/m**23*m)\/m) assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 10*z**2 + 2*z + 20. Let g be j(-10). Suppose -3*k + r + 659 = g, 5*k - 1103 = -r - 18. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 34*l**5\/5 - l + 36. Differentiate g(b) wrt b.\nAnswer: 136*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/16 of a hour?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - 243?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.613 - 0.98. Let n = 0.37006 + r. What is n rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 less than 4488?\nAnswer: 4678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2822 and 3.\nAnswer: 8466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(0*d**2 + 6*d**2 - 4*d**2) + (0*d - 5*d + 4*d + 1)*(1556*d - 15508*d - 5409*d) to h*d**2 + n*d + c and give n.\nAnswer: -19361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from imrmapl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2339.9 - 2441. Round z to zero dps.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 690148633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(7))**2*-3*-1.\nAnswer: -24*sqrt(7) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.681 minus -0.1?\nAnswer: 0.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*s = -91*s - 72. Solve -2*g - 3*n = -24 + 2, s = 4*g - 2*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1120 + -105?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.9905387 to 2 dps.\nAnswer: -74.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mowomomogwooomf. What is prob of picking 1 w and 1 g?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13895371851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*a - 440, q + 174 = 3*q - 3*a. Let g(w) = -w**3 + 11*w**2 + 4*w - 35. Let x be g(11). What is the highest common factor of x and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/35)\/(2\/(-14)). Let r(q) = q - 3. Let o(l) = -l**3 - 6*l**2 + 3. Let g be o(-6). Let z be r(g). Is v greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Suppose x + a*q + 4*q = 4, 4*x - 5*q - 16 = 0. Suppose 6*v + 5*k = 3*v + 83, -v = -x*k - 5. Calculate the remainder when 39 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 18. Suppose 0*g = 4*g - 4*x - 36, -4*g + 2*x + 38 = 0. Let l be s(g). Let q = 17 + l. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 1443*d + 1626*d + d**2 - 4341*d + 1722*d to the form j*d + h*d**2 + m and give j.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 5*r - 5. Let f be 5*-1*(-1 - -2). Let y(b) = b. Let m(z) = -4*z**2 + 10*z + 6. Let h(w) = -m(w) + 4*y(w). Calculate f*h(d) + 6*x(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1992, -3, -1\/24, -154?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19571\/150 - 1982\/15. Find the common denominator of 7\/6 and o.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.00866?\nAnswer: 0.000866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030296 divided by 20.\nAnswer: -257574\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 12:06 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3773 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {z: 1, s: 4, m: 6, w: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 10*p + 14. Suppose -s + 3*g + g = 4, -s - 3*g = -10. Suppose 0 = -3*f + 3*v + 30, -6*f = -f - s*v - 50. Calculate d(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12840 divided by -4\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -7*i**5\/270 - 5*i**4\/54 + 8*i**3\/27 - 19*i**2 + 23. Let k(f) be the second derivative of o(f). Find t such that k(t) = 0.\nAnswer: -2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose 0 = 3*x + 8 + h. Let b = -1460 + 1460. What is the nearest to 3 in -2\/17, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 8:52 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i - 5*i**2 + 24 + 78*i**3 - 29*i**3 - 25*i**3 - 25*i**3.\nAnswer: -(i - 2)*(i + 3)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25761 - 463579\/18. Let h = 6231712057\/46 - 135480595. Let w = h + 8593. What is the common denominator of w and q?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -337, -28409 in descending order.\nAnswer: -1, -2, -337, -28409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -28*r - 1. Let i(j) = -268453*j - 9257. Give 9257*d(o) - i(o).\nAnswer: 9257*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {j: 1, h: 1, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/31841 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1008) + 0)*5)**2 + -5.\nAnswer: 629995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-130)\/(-104))\/((-3)\/2). Which is the fourth biggest value? (a) -4 (b) -1\/2 (c) -1\/3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -20) + -10 + -1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*y**2 - 4*y**3 - 6*y**3 + 59*y**2)*((5 - 1 - 2)*(-1 + 0 + 16) + 1 + 1 + 3)*(-3 + 3 + 2*y) as a*y**3 + l*y**4 + d*y**2 + n + z*y and give l.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = z - 74, 5*c + 5*z + 63 - 253 = 0. Solve -4*o + c = -7*o - 5*t, -2*o + 26 = -5*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 - x - 3. What is y(-3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/19 + 33\/133. Let m(h) = -h + 3. Let f(s) = -s**3 + 8*s**2 - 7*s + 4. Let y be f(7). Let x be m(y). Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5 or -180?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 40. Let p = o - 236\/3. What is the closest to -1\/4 in 0.1, 2, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 11*b + 52. Suppose 53 = q + b. Put -4, -2, q in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 37*p**2 - 76*p - 36. Determine a(39).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 10*g**2 - 10*g - 6. Calculate z(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 7}. What is prob of sequence lrl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 15*t**2 + 4*t + 5. Let d(x) = 2*x**3 + 28*x**2 - 7*x - 10. Calculate -4*d(a) - 7*m(a).\nAnswer: -a**3 - 7*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 606.2 - 611.2. What is the third biggest value in p, -0.4, 31?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-3) + -9 + 121. Solve -126*q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a millimeter in micrometers?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 6325115?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -15\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -o, 3*o + 5*b - 3 = 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-16) + -1)*(-30)\/(-18)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -252, -4, -3 in increasing order.\nAnswer: -252, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18988 and 18?\nAnswer: 170892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -6.1. Suppose u = -10*u - 1243. Let w = u + 117. Which is the second biggest value? (a) w (b) h (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - (1 - (0 - 4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 - 0.575079579.\nAnswer: -0.365079579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -765*p**4\/4 + 42*p**2 + 8*p + 1654. What is the second derivative of l(u) wrt u?\nAnswer: -4590*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -7, 0.29, 25, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-6) + -4)\/(0 - -3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 19 = -0*p - j, 0 = p - 2*j - 11. Suppose 3*v + 9 = 5*b, p*b - 4*b + 9 = -3*v. Determine r, given that -6*r + b*r**2 - 3 - r**2 - 2*r**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5354105.8 and -63.\nAnswer: -5354168.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -47*r**3 - 10*r**2 + 11*r - 6. Calculate w(3).\nAnswer: -1332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 23056\/968)\/(4\/66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23870)\/1364 - (-18)\/1 - (-62)\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*63\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -5. Let n = 8 + -7. Let r(a) = a + n + 0*a + 2 + 8. Give r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34628376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 254. Let w(n) = n**2 - 24335*n. Calculate b(w(r)).\nAnswer: r**2 - 24335*r - 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 34*y**2 - 55*y + 67. What is the thousands digit of w(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t + 25. Let i be o(-4). Let g(m) = 2*m**2 + m - 12. Let p be g(i). Suppose 0 = 38*l - p*l + 40. Calculate the smallest common multiple of 12 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*3*35\/(-10). Let p = 168 + l. What is the greatest common factor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -2 - (0 + -5). Suppose -18 = -k - z*k. Suppose -2*i - 539 = -7*i + 3*d, 0 = -d - k. What is the remainder when i is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 15, -3\/2, 0.135, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 + 2*r - 2. What is the units digit of l(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -835a779 - 4?\nAnswer: -835a782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 333001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -43 (b) -3 (c) 5 (d) -1255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3383 - -1149a6?\nAnswer: 111623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 54, 110, 184, 282, 410?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71919 + 543491882\/7557. Let r = x - -130997\/68013. Calculate the common denominator of 11\/24 and r.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 26*m. Is l(8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956 + 210*r - 200*r - 397*r - 285*r.\nAnswer: -672*r + 956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 3*j + 2. Let t be p(-3). Let d(g) = 5*g - 2. Let f be d(t). Calculate the highest common factor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(33\/(-11) - 20\/10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -281.5585404 - -268.55854. Let r = 126 + -113. Let b = c + r. What is b rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2034*1029.3.\nAnswer: -2093596.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(3\/45) - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225430 or -9242578\/41?\nAnswer: -225430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1220\/11, -2, -3, 2, -5 in decreasing order.\nAnswer: 2, -2, -3, -5, -1220\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 3*s - 3. Let z be n(2). Let y = 4 + z. Let a be ((-4)\/y)\/(12\/(-54)). Solve 0 = -3*f - 3, -3*f = 3*o + 3 - a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23121 + -1312313?\nAnswer: -1340434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/17 - 54036*p**3\/17 - 28613640*p**2 - 85707084400*p + 1032610872000 = 0.\nAnswer: -9010, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75600 is divided by 25200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 1997*k + 65588. Give p(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.646 - -4.962. Let b = 0.684 + p. Put b, 0, 10\/67 in descending order.\nAnswer: b, 10\/67, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-14)\/7)*(-5)\/(-2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 66 - 108. Suppose -5*g + k = -2*i, -g = 4*g + 5*i - 30. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 995, 1493?\nAnswer: 1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174987 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(7)*1 + -1)**2*3.\nAnswer: -30*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30640 > 30640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 78 - (1 + -1). Suppose -k - a - 7 = -23, -4*k + 4*a + v = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*j = -85*j - 62*j - 2322 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6375130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7*p + 4 = -4*h, 5*p + 3*h = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4)\/j*j\/(j*j*j**(-6)*j))**(-36)\/(((j\/j**(5\/6))\/(j\/j**(-5)))\/((j\/j**(3\/5)*j)\/(j\/((j**2*j)\/j)))) assuming j is positive.\nAnswer: j**(-3803\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8132688*d**4 - 2510*d - 80?\nAnswer: -97592256*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a = -4*d - 43, 4*d - 129 = 3*a. Let w = a + -69. Let i = -109 - w. What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let t be y(13). Let z = t + -22. Find the second derivative of 3*k + 2*k**z + 6*k + 5*k**4 wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d**4 + 2981694*d**3 + 4401411*d**2 = 0. What is d?\nAnswer: -47327, -31\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 76. Let z = f - -37. Which is the third smallest value? (a) -2 (b) z (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = -3*y + 1, 0 = -u + 2*y - 6. Suppose 447 = -m + u*k + 59, -789 = 2*m + 5*k. Find the common denominator of 25\/44 and ((-42)\/m)\/((-3)\/22).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*x - 44 = 0, -8 - 46 = 3*n + 3*x. Suppose 24 = 2*t - 5*t. Let y = t - n. What is the highest common divisor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2647*b**2 - 271 - b**4 - b**4 - 2701*b**2 wrt b?\nAnswer: -8*b**3 - 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Suppose -4*t + 2*t = 0. Suppose t = 4*y + l - 25, 2*l - 50 = -w*y - 15. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9236 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/((-5)\/(-15)). Let v = 4 + l. Suppose 11 = v*x + 5*a, x - 1 = 3*a - 2. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 41, 4.\nAnswer: -5, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -34. Let m = k - 9. Let p = 8 + 8. What is the remainder when p is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y\/y**(-1\/11)*(y**0)**43)**(-4\/35) assuming y is positive.\nAnswer: y**(-136\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*((t*t**14)\/t)\/t)))\/t)**(-13\/4)\/(t**18*t*t**(-14)))**(-3\/13) assuming t is positive.\nAnswer: t**(567\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -40\/247 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose -5*b - 15 = -3*o, -4*o + 22 = b + 2. Sort -4, o, m in descending order.\nAnswer: o, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqd when three letters picked without replacement from {q: 4, l: 1, d: 6, s: 6, r: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. What is the remainder when 9 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**2 - 9 - 7 + 7 + 4*t. Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*i**2 + 7 - 11 + 516*i**2 + 4 - 180*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6430815 to 2 decimal places.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.066 - 0.066.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.145 (c) -137 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t + 479 = 143. Suppose 4*z - t = -z + 4*u, 3*z - 2 = u. Solve -5 = -2*c + k, 2*c + k - 3 = -z*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-1 - -13) + (-12 - -5)) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2820798 times -2\nAnswer: 5641596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 520, -2, 2 in increasing order.\nAnswer: -2, 2, 9, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 2*f**2 - 8*f + 17. Let o be p(2). Solve 10 = 5*r, -9 = 5*j - 3*r + o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*d + 960*d - 508*d - 3*d**3.\nAnswer: -3*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015916169 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25938 - 5?\nAnswer: 25933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 18 = 4*b. Let n be ((-8)\/3)\/(b\/(-9)). Let t be n\/8*6*1. Solve -t*k = 9 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099096 (base 12) in base 4?\nAnswer: 30022120302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164 + 132?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37\/6 + 20\/3. What is the second biggest value in 5, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*o**2 - 45 + 45.\nAnswer: 261*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237 + -130. List the prime factors of q.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -1, 0.1, 55\/2, 0.059?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89733 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*w + 7646, b + 4*b = 15. Is (-2)\/(-4)*w\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 2*o**2 + 1. Give v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -673 divided by 1267.\nAnswer: -673\/1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 42\/415?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*b - 8*b**2 - 16*b - b**2 + 3*b**2 + b**2 + (0 + 0 - 2*b)*(-b - 1 + 1) + (-4 + 4 - 2*b)*(9*b + 18 - 18) as o*b**2 + a + d*b and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 113254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + 2*f**3 - 3*f**3 + 3*f**3 + (-6*f**3 - f**3 + 2*f**3)*(0*f**2 + 4*f**2 + f**2).\nAnswer: -22*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2946*r. Let d(j) = j + 139. What is g(d(h))?\nAnswer: 2946*h + 409494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 11*r**7\/42 + r**6\/10 + 6*r**5\/5 + 55*r**3\/3 + 3*r**2 - 5362*r. What is the second derivative of v(a) wrt a?\nAnswer: 220*a**3 + 36*a**2 + 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*s + 66. Let x(j) = -j**2 - 9*j - 2. Determine x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -3, -2\/5, -10, 25\/33?\nAnswer: 25\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15544, -13671, -8582, 1331, 17676?\nAnswer: 42061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(304)*-2*4)**2)*5.\nAnswer: 97290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 70. Let n be 2\/108*r*-3. Sort n, -5, -0.3, -2 in decreasing order.\nAnswer: n, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 - 53. Suppose 2*f = 3*f + k. Let u = f - -95. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 divided by -1192?\nAnswer: -401\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58897\/44576 + 1\/6368. What is the common denominator of 95\/12 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g - 2*g + 3*g - 3. Let m = -48 - -48. Let x(q) = -4*q**2 + 2*q + 3. Let n be x(m). Calculate v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6366 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/330 and 73\/187143?\nAnswer: 1871430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -36. Find the common denominator of 13\/22 and (-303)\/66 - b\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303120 + -3244033?\nAnswer: -2440413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 29992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t**2 + 8*t**2 - 34*t**2 - 2.\nAnswer: -55*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4, -2*x - x + 5*w = -41. Suppose 2*f + 2*o = 14, -x*f + 19 = -6*f - 2*o. What is the smallest common multiple of f and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/3 - 20*w**2\/3 + 16*w = 0.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3930 = 46*j + 1967 + 537 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-1)*(-6)\/8. Let g be 20\/l + 1 + -3. Is -4 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4 = l. Let r(c) = -7*c**2 + 0*c**3 - l - 7 + 0*c + 4*c + c**3. What is the remainder when 55 is divided by r(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -1, 14 in ascending order.\nAnswer: -10, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123566*p**4 - 3*p**2 - 756581*p?\nAnswer: -1482792*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-50)*-2)\/(2\/20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.321 + -6.321. What is the fifth biggest value in z, 3\/2, 5, 0.01, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10 - 6 - 27*d + 15 + 11*d**2 + d**3. Let p be i(-13). Solve -4*b = -2*m - p, 3*b - 23 = -3*m + m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 190502617, 381005230, 571507843, 762010456?\n\"Answer: 190502613*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75074718, 75074724, 75074730?\n\"Answer: 6*c + 75074712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42184483 or 42184484?\nAnswer: 42184483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 128853000 to the nearest 1000000.\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 5*w**2 + 7*w + 6. Let b be l(-6). Let z = b + -2. Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455552*x**4 - 2*x**3 + 854855*x**2 wrt x?\nAnswer: -10933248*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -21*v. Let f(a) = -2*a. Let h(t) = t**2 + 13*t + 24. Let q be h(-11). What is q*c(u) - 22*f(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weee when four letters picked without replacement from {a: 1, w: 5, e: 8, t: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 795\/(-106)*96\/(-108)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 27 = -y, -3*y - 31 = -2*v - 0*y. Suppose -2*q - m + 0 = -164, -2*m = v. What is the remainder when q is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*c - 4*p, -3*c - 3 + 17 = p. Let l(d) be the third derivative of 0 + 1\/60*d**5 - 5\/24*d**4 + 0*d - 184*d**2 + 1\/2*d**3. What is l(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 20. Let h be r(-5). Suppose 1 = -3*s + h. What is l in -2 + 7*l + 17\/4*l**s - 3\/4*l**4 - 17\/2*l**2 = 0?\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x - 58*x = -790. Calculate the remainder when 154 is divided by x.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*g**2 - 37672*g + 37436*g + 66*g**2 wrt g.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10446159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 17\/(-6) - (-988737)\/18. Round t to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 2*y**2 - 39*y - 86. Let i be d(-3). Sort i, -12, -4, -5, 0 in decreasing order.\nAnswer: 0, -4, -5, -12, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/14591356 or 0?\nAnswer: 33\/14591356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-169 + 169 + 76*b**2)*(-3 + 3 - 2).\nAnswer: -152*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3912, -15628, -35154, -62490, -97636?\nAnswer: -140592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Suppose -d*r = -z - z - 10, 2*r + 2*z = 6. Suppose -k - 3*k - r*y + 8392 = 0, -k = -3*y - 2106. Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 58, 128, 236, 388, 590, 848, 1168?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 135*p + 1114. Give a(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4438879, 4438854, 4438817, 4438762, 4438683, 4438574, 4438429?\n\"Answer: -m**3 - 18*m + 4438898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 + -1 + 0). Let a = i + 6. Suppose -2*p = m - 22, 10 + 1 = a*m - 5*p. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.2 and 360775.\nAnswer: 360790.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -31\/584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 6912?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s**2 + 5. Let p be d(0). Solve a = -0*a, i - p = -3*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 399*a**2 + 177*a**2 + 117*a**2 to the form s + j*a**2 + v*a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/21*(-6)\/(66\/11)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*n + 224, -3*r = n - 67 - 264. Let v be (836\/r)\/(2\/5). Which is greater: v or 18?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/7 + 12*d**3\/7 + 22*d**2\/7 - 48*d\/7 - 8 = 0.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 + 505*p + 3. What is w(-23)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1846280, -1846244, -1846172, -1846058, -1845896?\nAnswer: -1845680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = -t. Suppose t*p = p + 24. Find the third derivative of 12*q**2 + q**5 - p*q**5 - 5*q**5 + q**5 wrt q.\nAnswer: -660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)\/((-8)\/(-240000)). Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/60 + 5*l**4\/8 - 7*l**3\/3 - 8*l**2. Let i = 13 - 7. What is the remainder when p(12) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72379.53ml to litres.\nAnswer: 72.37953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 28 = -4*d, -4*z - 4*d = -8*z - 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -16, -37, -5 in increasing order.\nAnswer: -37, -16, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5797\/385 - (-12)\/(-210))*-1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10516024 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-1)\/4*2. Let z = -55.2 + 55. Which is the second biggest value? (a) q (b) z (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409120631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h + 8. Let s(w) = -w**2 + 8*w + 4. Let k be s(8). Let l(x) = 2 + 5*x - 3 - k*x. What is -6*l(z) - o(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h + 24 = 0. Calculate the remainder when (-30)\/20*(-56)\/h is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -355436, -710876, -1066318, -1421762, -1777208, -2132656, -2488106?\n\"Answer: -t**2 - 355437*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*i + 14 = 4, 5*m - 3*i = 17. Solve -4*b - d - m = 0, b - 4*b - 3 = -5*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let t be ((-1)\/3)\/(f\/(-27)). Suppose j + 5 = 0, 2*v - 4*j = -t*v + 130. Solve n + 5*h - 25 = 0, v = 4*n + 3*h - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-30) + -7)*(-3)\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -11) + 4332\/(-570)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6884 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(2) - sqrt(8)) + 1 + -5)*5)**2.\nAnswer: 300*sqrt(2) + 950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 4*k + 1. Let l be w(4). Let r be 0 + (-78)\/(-28) + -3. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9005*j - 17. Let l(f) = -2251*f + 4. Let x(m) = 9*l(m) + 2*p(m). Let w be x(-2). Round w to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 4*w + 1032 = 0, 3*w + 1284 = 5*y. Let s = -399 - -233. Let i = y + s. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0 + 15 - 0. Let f = w + -8. Suppose 4*x - 104 = s + f, -s = 5. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -54 - 10. What is the lowest common multiple of p and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjamwfwlajam. What is prob of picking 1 a, 1 l, and 1 w?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u**5 - 65*u**5 + 2*u**3 - 39*u**5 + (u**4 - 3*u**4 + 0*u**4)*(u + 4*u - 3*u) - 6*u**5 - u**5 + 5*u**5.\nAnswer: -119*u**5 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 59\/((-6)\/4*12\/(-18)). Solve -u*s + 24 = -55*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24852.79 years to centuries.\nAnswer: 248.5279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from izzazgzzigoozzziizzi.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/9)\/h*h)\/h)\/(h*h**(-6))*h\/h**(-8)*h**(-2)*h)\/((h**2*h)**(-3\/29)*h\/(((h\/h**(-2\/25)*h)\/h)\/h)*h*(h**(3\/7)*h)\/h) assuming h is positive.\nAnswer: h**(444854\/45675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 2\/3*i**2 + 44\/3 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 539\/4 + -135. Let f = 43\/175 + 1\/25. What is the closest to f in 1, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 2, l: 7}. Give prob of picking 2 l and 2 a.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -52 - (-5 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 170254?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59739261 to the power of 1\/2, to the nearest integer?\nAnswer: 7729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 1.4, 0.438?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -432140 (base 5) in base 13?\nAnswer: -68a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -5\/11, -319, -359?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1 - (-33 + 36). Let a(r) = r + 11. Give a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.21 + -21. Let o = 0.08 - a. Round o to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 385 = -2*x, 5*x = -5*n + 37 - 1957. Let r = 388 + n. Let b(a) = -a + 21. What is b(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 2?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 22*q**2 + 62*q + 20. Calculate t(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 - -244 - (10 + -14 - (0 - 47))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2 - 11\/2*t**2 + 0*t. Let r(g) = -2*g**2. Give r(h(y)).\nAnswer: -242*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23752 or 23750?\nAnswer: 23750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 1901*r**5\/10 - 479*r**4\/6 + 13*r - 53. What is the third derivative of u(l) wrt l?\nAnswer: 22812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2312*j + 2160 = 2447*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + s**2 + 2 + 2*s**4 - 3*s**3 + s**3 in the form c*s + o*s**2 + v*s**3 + u*s**4 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 2\/19, 20, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 7. Suppose -g - 16 = -b, -b - 3*g + 3 - 7 = a. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l - 12*l - 39*l)*((-3 + 1 + 1)*(-l + 1 - 1) - 3*l + 6*l + l).\nAnswer: -215*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:38 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3862 and -83\/96576.\nAnswer: 186488256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 4. Let t be y(-2). Suppose 7*r - 1349 - 1990 = t. Is r a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 4. Let w be c\/(-14) - (-34)\/35. Suppose -5*b + 6 = u, -2*b + 3 = -3*b + 4*u. What is the third smallest value in w, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 269 = -4*h + 12, -y = -4*h + 59. Let v = y - -83. Put 0, 1, v, -1 in increasing order.\nAnswer: -1, 0, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 834*0.184\nAnswer: 153.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 184 = -7*m. Let v = m + 95. Solve 2*u = -v*k - 4, -u + 16 = -3*k - 0*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2640 and 80?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705640 and 1196.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 1205*f**2 + 96410*f + 197600.\nAnswer: -5*(f - 65)*(f + 2)*(f + 304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63561*x**3 + 2299752*x**2?\nAnswer: -381366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34555946.\nAnswer: 2, 19, 59, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 17 - ((-85 - -84) + -1 + 7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x**2. Let y(i) be the first derivative of 16*i**3\/3 - 148. Calculate j(y(s)).\nAnswer: -4352*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 274938 = -4*t, -35*w = -12*t - 34*w + 824810. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4123 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**2 + 9*l - 9. Let f(s) = 5*s**2 + 4*s - 4. Let v(z) = 9*f(z) - 4*m(z). Let k be v(1). Suppose -k = 2*j - 5. Sort 0, 4, j in descending order.\nAnswer: 4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 5*y + 17)*(3*y - 2537 - 2536 + 5014).\nAnswer: 15*y**2 - 295*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*h, -8 = 3*r - 3*h + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 8 = 4*h, 4*h = -520*u + 517*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -317*r**5\/5 + 211*r**2 + 717. Find the second derivative of t(w) wrt w.\nAnswer: -3804*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 + (1 - 10). Let l = 17 + i. Let x be (-45)\/(-36)*(-1)\/(-5). What is the third biggest value in l, -6\/5, x?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19755 < 19754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78, -77, -72, -63, -50, -33, -12?\n\"Answer: 2*d**2 - 5*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -17*s**8\/336 - s**5\/20 + 11*s**3\/6 - 6*s**2 + 3. What is the third derivative of y(u) wrt u?\nAnswer: -1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(sqrt(9)\/(sqrt(6)\/sqrt(2)) + -1))**2.\nAnswer: -50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y + 1084. Determine r(-50).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 133 + 136)*(-3*w - 2*w + 3*w).\nAnswer: -190*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69654, 69660, 69676, 69708, 69762?\nAnswer: 69844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 0*a**4 + 0*a**4)*(-2*a + 0*a + 9*a) + (0 + 1 + 1)*(-135*a**4 + 14*a**5 + 135*a**4) + 0 + a**4 + 0 - 2*a**5.\nAnswer: 40*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7455224 to the nearest integer?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:43 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18516566.6 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u - 6 = 0. Let z be (-1)\/(((-3)\/u)\/1). Factor 0*i - 5\/3*i**3 - 2\/3*i**z - i**4 + 0.\nAnswer: -i**2*(i + 1)*(3*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose 3 = 4*w - 3*f, l*w - 3*f - 12 = w. Let i = 1584\/5 - 9509\/30. Which is the closest to -0.2? (a) w (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27790307 a multiple of 2097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/3 - (0 - 0). Let a(g) = 10*g + 0 + s*g - g - 3 - g**2. List the prime factors of a(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p + 21 = -5*x, 0 = -3*x - p - 17. Let i = -6 - x. Is (113\/i)\/(-2 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4443012122 - 433?\nAnswer: 4443011134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 37 = 34 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 33 = -9. Suppose 3*g = 9, 3*f + b*f - 40 = -5*g. Let d(l) be the first derivative of -l**4\/4 + 5*l**3\/3 + 3*l**2\/2 + 4*l + 2. Calculate d(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33\/65 + 6247\/910. Let q = -124\/7 - -2693\/154. What is the common denominator of q and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5))\/(3\/105). Suppose -k = n - 5*u, -u + 3 = -n + 5. Calculate the least common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, k: 1, m: 4, g: 1}. What is prob of sequence gqm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:23 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221000 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 178283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 17}. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/((840\/42)\/180).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/14 and -99\/129385072?\nAnswer: 905695504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117, -132, -151, -174, -201?\n\"Answer: -2*y**2 - 9*y - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 take away 3.62336?\nAnswer: -45.62336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.02 rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 5. What is the units digit of n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.04 - -0.04. Let h = 44 - 34. Let y be (-21)\/(-14) + (-11)\/h. Put y, 0.5, k in descending order.\nAnswer: 0.5, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p = -12590 + 14834 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 48 = 4*p, -14*m = -13*m + 2*p - 4 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8109163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 1, h: 1, z: 7}. Give prob of picking 1 l and 1 z.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 2*z + 5. Let o be c(3). Factor -2\/7*v**o - 2\/7*v + 4\/7.\nAnswer: -2*(v - 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/90)\/(2\/3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11035143 (base 6) in base 8?\nAnswer: -1207547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -52. Let g(u) = -u**3 + 2*u**2 + 4*u. Let r be g(3). Let c be 1\/(1\/r) + 2. Sort c, i, 4.\nAnswer: i, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 1239 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 32280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.05 (b) 1 (c) -1166 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:53 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 3*g**2 - 5. What is w(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/102 and -101\/270?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -615, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -140*v. Let r(c) = 1239*c + 2. Determine b(r(f)).\nAnswer: -173460*f - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from dsdswddsdsowdawdwdws?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15)\/b)\/(b\/b**3)*b**5\/(b**(4\/11)\/b) assuming b is positive.\nAnswer: b**(1117\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*f - 2104, 4*f + 12 = -4. Let o(i) = 7897*i - 424. Let n(b) = -56*b + 3. Let d(q) = g*n(q) + 3*o(q). Is d(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-6)*13 - 1\/3. Let q be (85\/z + -3)*-102. Solve -2*c + 2*j - 3 - 9 = 0, 3*c = -4*j + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130344481 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1003958\nAnswer: 7\/1003958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-12 + 4) - (-2 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2471*v**2 - 9*v**3 - 2471*v**2.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:43 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -122. Let n be ((1\/y)\/((-24)\/(-16)))\/(-10). Let r(q) = q**3 + 3*q**2 + q - 2. Let g be r(-2). Which is greater: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:20 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 13*y - 14. Let m be z(-10). Suppose 9 = 4*r + 1, 2*u - m = -5*r. Let n be (-4)\/(-6)*u*1. Is 2\/3 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(5 + (sqrt(5103)\/sqrt(9) + 0 + sqrt(63) + 1)**2).\nAnswer: 360*sqrt(7) + 15210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 2262199.\nAnswer: 904879.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219116131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -2*s + 6*s. What is the greatest common divisor of 250 and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 171 (b) -1\/8 (c) 54\/19 (d) 1 (e) -5 (f) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -221599 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*z - 83*f + 84*f, -4*f - 15 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -39, 3, -35 in decreasing order.\nAnswer: 6, 3, -35, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5103\/8 + 37657\/56. Is q less than or equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -7*f**6\/20 + 5*f**4\/24 + 22*f**3 + 214*f**2. Find the first derivative of a(j) wrt j.\nAnswer: -126*j**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 17 = 10*j. Let h(c) = c - 16. Let d be h(j). Suppose -1 + 3 = -2*w - 2*t, 4*w = -3*t. Solve -d = -w*p + 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 + 231. Let v = 0.1 - 0.16. Let a = 2\/371 + 104\/371. What is the third smallest value in a, q, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let w(n) = -7*n**2 + 5*n**2 + 9*n**2 + 10*n**2. Determine w(l(m)).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21249710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*t - 308 = 30*t. Let n(c) = 0*c - 4*c**2 + 4*c**3 + 2*c - 3*c**3 + 1. Determine n(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 + 14*m**2 - 6*m - 183. What are the prime factors of j(20)?\nAnswer: 3, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 9. What is i(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4 + 1. Suppose -y*k = -0*k - 75. Suppose -6*q + 140 = -q. Calculate the remainder when q is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60429154619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68813375 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooogooooooggooooogg.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31326 (base 11) in base 15?\nAnswer: d7d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-68))\/(1\/2*(-7)\/(-2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -122.852304 from 0.1.\nAnswer: 122.952304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -35610 to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*g = 562, -4*k + 3*g = g - 1124. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7241, 7360, 7559, 7838, 8197?\nAnswer: 8636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 271, 277, 303, 355, 439, 561?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 31047 = -5*i - 7275, -u + 3*i + 23804 = 0. Suppose -4390 = -22*s + u. What are the prime factors of s?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780972.\nAnswer: 2, 3, 151, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49353810 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 360314 + -360313.93299941. Let r = p + -0.067. Round r to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = -99*n + 130*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, -13, 0, 5, -4 in decreasing order.\nAnswer: 28, 5, 2, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.54 - 1.54. Which is the closest to 0? (a) -7 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3861*v - 2. Is m(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 55020?\nAnswer: 165060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/(-20))\/(1\/(-4)). Suppose -30 = -p*g + 80. What is the smallest common multiple of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 12136\nAnswer: -3\/3034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4*j - 1. Let a be w(4). Let t(o) = 73*o**2 - 1. Let p be t(a). Let s = -37 + p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1 + -6*30\/(-36)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344647?\nAnswer: 107, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*m + 297 = m, -2*m + 6 = 0. Does 36 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -907.\nAnswer: -906.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5809 (base 10) in base 14?\nAnswer: 218d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -139*p - 15. Is 21 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:19 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 2. Let u be i(-4). Suppose 2*j = 4*n - u, -j + 2*n - 4*n - 7 = 0. Sort j, -3, -2 in increasing order.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -27 - (129 + -112).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.663 + -0.037. Which is the third smallest value? (a) 1 (b) -0.1 (c) w (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5822 - -1939. Suppose 6*k = 19*k - q. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**4 - x**3 + x - 1. Let k(p) = -40*p**4 + 4*p**3 - 36*p**2 + 130*p + 14. Let o(j) = -2*k(j) - 28*m(j). Factor o(d).\nAnswer: -4*d*(d - 6)*(d - 3)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*h = -5, 0*q + 3*q - 20 = -h. Suppose -z + 2 + q = 0. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d, -48217 = -4*m + 3*d + 2*d. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p - 1. Let b be u(-3). Solve 4 + 1 = d - 4*q, -4*q = -b*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 556235*h**3*y + 2*h*y - y - 67053 wrt h?\nAnswer: 1668705*h**2*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 - f - 4. Suppose 5*s - 13 = -3. Suppose -s*a = a + q - 13, -2*a + 2*q - 2 = 0. What is the tens digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 29*j + 24. Solve j*i - 9 = 4*w + 21, -5*i + 40 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -7968578?\nAnswer: -47\/7968578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(9\/(216\/6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -94*z - 221. List the prime factors of f(-11).\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + z + 2*z + 3 - 10 + 3*z. Let t = -895 + 896. Let f(a) = 0*a + a - 2*a + 1. Give t*d(y) + 6*f(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/9729 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 4154552?\nAnswer: 4154552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 27*h - 533. Calculate a(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 5)*(77 + 84 + 19)*(0 + 0 + 2)*(3 - 3 + 6*a**2) in the form v*a**2 + m + i*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -525? (a) 123\/5 (b) -1\/6 (c) 0.3 (d) 0.2 (e) -3\/2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828.99535 - -0.347209?\nAnswer: 4829.342559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -6*s**5\/5 - 6*s + 7. Differentiate f(j) wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2213 - 320612?\nAnswer: -320618.2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030 a factor of 715260203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95\/8 + 12. Let d = 1222 + -1280.7. Let z = d + 59. Which is the biggest value? (a) z (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(0 + (sqrt(480) + -6*sqrt(480)*-2)\/sqrt(10)))**2.\nAnswer: 1168128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.153 - 0.253. Which is the nearest to d? (a) -1\/8 (b) 2\/9 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from supsrzwpsrspzsssr. Give prob of picking 2 z.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1191544 >= -1191543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 q when four letters picked without replacement from {q: 3, d: 5, n: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, and 2 v when four letters picked without replacement from rbhrhheevuvb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 201963 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31501387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4245 - 4265 + 3*d**3 + 8510 - 2*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 1 (c) -2.182 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9022 + -44?\nAnswer: 8b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*k**3*t**2*u**2 - 6*k**3*u**2 - 76*k**2*t*u - 3*k*t**2 - 3*t**2*u - t*u**2 wrt k?\nAnswer: -396*t**2*u**2 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -350*l**2 - 2. Let g(k) = 2*k. Determine a(g(d)).\nAnswer: -1400*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 3*t**7\/14 - 29*t**6\/30 + 33*t**5\/20 - 5*t**4\/4 + t**3\/3 + 14*t + 1. Find m, given that k(m) = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + t + 2. Let j(g) = 9*g**2 + 2*g - 9. Let i(y) = j(y) + 5*n(y). Give i(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 17*b - 3*b = 2*c + 69, -5*b = 25 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-7))\/(((-990)\/(-77))\/9)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 68*g**2 - 26*g - 161. List the prime factors of o(28).\nAnswer: 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 5:55 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 - 7*h**3 - 8*h**2 - h**4 - 6*h**2 + 75 + 4*h**3 + 13*h**2 to the form y*h + f*h**4 + j*h**2 + o + t*h**3 and give o.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 3990?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1709513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/4128 and 83\/2592.\nAnswer: 111456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470 and 998248.\nAnswer: 234588280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 114, 231, 324, 381, 390?\n\"Answer: -2*n**3 + 131*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*o**4 + 14*a**2 + 136*o**4 + 2*o**2 - 4 wrt o?\nAnswer: -24*a**2*o + 3264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -12 + (3 - 5) + (58 - 4) + -6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 23526117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31384682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4662 - -4130. Which is bigger: 14 or w?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r**2 + 48*r**2 + 159*r**2.\nAnswer: 136*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - c = -912, -512 = -3*r + c + 32. Suppose 0 = 87*v - 101*v + r. Solve 3*y - 1 = -v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:32 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r**2 - 12*r. Let f(y) = 2*y**2 + 2*y. Let s(g) = -6*f(g) - j(g). Let o(l) = 22*l**2 + 3*l**2 + 5*l**2 - 9*l**2. Calculate o(s(a)).\nAnswer: 336*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 30 = -178*k + 173*k, 40*k - 591 = h - 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-416)\/4056)\/((-9)\/((-243)\/6)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -13186 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8833 and 4?\nAnswer: 35332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -94995.2 and 0.03?\nAnswer: -2849.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 176 = -9*d. Let t be 1*-5*(d - -10). Solve 15 = -t*a + 8*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*y**3 - 9*c*y - 952*y**3 - 5*y**2 - 1243 wrt y?\nAnswer: 18*c*y - 5712*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -251, -6, -4, -2 in ascending order.\nAnswer: -251, -6, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 - 12*l + 32)*(-18 - 16 - 37) in the form s + c*l and give c.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 2718?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6898435 - 0.12.\nAnswer: 6898434.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-345)\/276*16\/2230?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c + 24 = -248 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q - 185 + 267 + 539 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 289, 383, 463, 529?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5455, -5454, -5453, -5452, -5451?\nAnswer: -5450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1193, -2399, -3605, -4811, -6017, -7223?\nAnswer: -8429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:40 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -48.9. Let g = -4 + v. Sort -1, g, -2\/17 in descending order.\nAnswer: g, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35826 + -35824. Which is the second biggest value? (a) -0.04 (b) h (c) -0.06 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 68. Let m = 56 + -6. What is the remainder when m is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 127 + 90 = 0. Let b = -5 - -5. Suppose -s + v + 6 = b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**2 - 50*q - 8. Let v be r(-6). Suppose 4*l - 3 = -3*z + l, -v*l - 32 = -5*z. Sort z, -2, -0.5, 0.5 in decreasing order.\nAnswer: z, 0.5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(121) + sqrt(121)*-1 + sqrt(121) + sqrt(121) - sqrt(121)) + sqrt(121))*-5 - sqrt(121))\/(sqrt(121)\/(sqrt(88)\/sqrt(8))) + -4)**2.\nAnswer: 88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1362, -5347, -11952, -21177, -33022, -47487, -64572?\n\"Answer: -1310*p**2 - 55*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-3)*(-3)\/(-2). Let y = 28 + q. Suppose -4*c + 4*p + 36 = 0, -5*c + 4*p = -76 + 28. Calculate the remainder when y is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l + 3. Determine i(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j - 1. Let c(u) = -35*u + 9*u + 21*u. What is -7*c(q) - 4*s(q)?\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 11*z**2 + 23*z - 92. What is the remainder when 14 + -11 + (-134)\/(-2) is divided by n(12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/55 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 17 = -3*o, -2*o - 4*l - 34 = -40 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a7 - -5?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6695\/1526 - -50\/109. What is the common denominator of -1*(63\/154)\/(-9)*104 and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**2)**(3\/22)*(((h**(-1\/7)*h)\/h)\/h**7)**(4\/19) assuming h is positive.\nAnswer: h**(-4001\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 (base 6) in base 8?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14855, -14723, -14499, -14183?\n\"Answer: 46*f**2 - 6*f - 14895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 35*a = 76. Suppose 0 = m - 5 + 3, n - m = 16. Calculate the least common multiple of a and n.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533709.6 weeks to microseconds.\nAnswer: 322787566080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 + 6 = 0. Suppose -3*s + x + 80 = -2*s, 0 = s - 3*x - 72. What is the greatest common divisor of s and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001335 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9)*-3)\/((-48)\/(-54))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3*(-105)\/2. What is the greatest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - -0.1. Let t = -4\/15 - -31\/60. Let w be (-1 - -1) + -5 - 5\/(-1). Which is the closest to w? (a) t (b) r (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/4 + 28*v**3\/3 + 53*v**2\/2 + 31*v - 129. Is n(29) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.73324nm in micrometers?\nAnswer: 0.03173324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58021063 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/(-54))\/4*7\/((-245)\/14)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/63 and -83\/6980922.\nAnswer: 48866454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 + -216. Suppose 4*m = m - p*y - 68, m + 24 = -2*y. Let q(r) = -r**2 - 16*r - 4. Determine q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107\/4 - -27. Let j = -8 + 13. Let q be 0\/j - 4\/(-18). Which is the nearest to q? (a) -3 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 126710 = -4*a, -5*k + 145407 + 65815 = 3*a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7571 is divided by 2637.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157\/45 - 26\/9. What is the nearest to p in 2, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.44 - 6.44. Let k = 79 + -77. Which is the closest to -1? (a) -2\/5 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, s: 2, l: 4, j: 1}. What is prob of sequence llj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*o + 25 = 0, -19 - 5 = -4*r + 4*o. Solve 0 = 5*a + 3*v - 6, 5*v - r = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5671 - -10?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 201 = -221 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5331 in -2, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-4 + 13)) + 13 + 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y. Let v be y + -2 + -2 - -2. Let d be (45\/54)\/(15\/(-12)). What is the nearest to 0.1 in d, v, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(252\/30) + (-3 - -4). Let h = 0.2 + -0.1. Let m = h + -0.1. Which is the nearest to 2\/5? (a) m (b) n (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let d(t) = 4. Let j(r) = -d(r) - 5*y(r). Let b(p) = -2*p + 7. Let v = 12 - 7. Let w be 3 - (-3 + v) - 2. Calculate w*b(z) + 6*j(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*p**6 - 4789*p**3*x**3 + p**2*x**3 + p**2*x**2 + 848*p**2*x wrt p?\nAnswer: -2160*p**3 - 28734*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/19)*i*i**(-10)\/i*i*i\/i**(2\/11)*i*i\/(i*i\/(i\/i**(21\/4))*i) assuming i is positive.\nAnswer: i**(-11185\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 112961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15821271317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 39552*k + 276794. Calculate l(-7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/(-6)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 110. Calculate the common denominator of (6\/w)\/((-2)\/(-108)) and 4\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 368*f**2 + 364*f**2 + 2*f**3 - 7*f in the form k*f**3 + a + y*f + u*f**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5127*p + 51 - 754*p - 62*p - 51 to m*p + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 43, 30, 1, -50?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p - 28410 = -51*p. Suppose -3*x = 3*x - p. List the prime factors of x.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyhyyyyhqsyyyy. What is prob of sequence shyq?\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 13*j**2 - 6*j. Let z be p(6). Suppose c + g = -5, 11 = c - z*c - 3*g. What is the tens digit of (-3 + c - 0) + 81?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6514 divide 839179335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 21*i - 62. Determine z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1222 = -5*m, -6*m - 3*j - 983 = -2*m. Let o = -806\/427 - -28\/61. What is the common denominator of o and (-1)\/(-1) - m\/(-50)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = 4*l, 16 = 2*u + 3*l - 6*l. Let z(b) = 8*b**3 + 6*b**2 - 20*b - 8. What are the prime factors of z(u)?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.14991 + 0.14991. Sort 0, -22\/89, r in descending order.\nAnswer: 0, -22\/89, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) + (-398)\/(-4). Let r be 3\/(-9) - (-193)\/3. Let w = d - r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29794596 + 3?\nAnswer: -29794593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/162*-3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/(4\/864). Let y be (n\/8)\/(3\/(-6)). Let f be 43 - (144\/(-56) + (-4)\/(-7)). Calculate the highest common divisor of y and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**6\/60 + 37*w**5\/60 - 5*w**4\/24 - 7*w**3\/6 + 125*w**2. Is g(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1262 + 0.045. Let v = l - -5.0812. Which is the nearest to -0.3? (a) v (b) 3 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 49829 + h - 24912 - 24917.\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*t = -839*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 1. Let m(f) = -3*f**3 + 2*f**4 - 2*f**4 - 2*f**2 + f**5 + 2. Let z(d) = 2*i(d) - m(d). Let z(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by -90.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1\/3, 5\/4, -0.5239, 4, 1\/2, -2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:16 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472077 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2481628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6412 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 3*f**2 + 30*f**2 + 4*f**2.\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*m - 4*m - 3*m)*(5*m + 1 - 1) + 2*m**2 + 2*m - 2*m)*(5*m - 3*m - 9*m + (0 + 0 + 2)*(-6*m + 3*m + 2*m)).\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4 = -3*o, 3*b + 3 = 56*o - 49*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 5. Suppose 13*p - 37 = 158. Let h(y) = -p*y - 27*y**2 + 26*y**2 + 15*y. Calculate t(h(c)).\nAnswer: -2*c**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 21*s**2 + 69 - 13*s**2)*(26 + 1 - 7).\nAnswer: 40*s**2 + 1380","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6 - 8 + 15 - 80*w**3 - 313*w**2 + 307*w**2 to the form n + r*w + p*w**2 + s*w**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:24 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131102499*b**3*l**2 + 2*b**3*l + 444*b**2 - 9*b*l - 3*b - 2*l - 5 wrt l?\nAnswer: -262204998*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 269 + -237. Solve -14*b + 6*b - d = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i + 4. Let p(y) = 8*y + 5. Let t = 25 + -20. Let w(s) = t*r(s) - 4*p(s). Let k be -2 - 4\/(-2) - -3. What is w(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2460 - 2302. Solve 0 = -8*v + a - 126 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1067 divide 58056537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2721532.2 to the nearest ten thousand.\nAnswer: 2720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 599245 - 0.4\nAnswer: 599244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 2. Let n = -1.8 + x. Which is the third smallest value? (a) -0.8 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, 3 in increasing order.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26422207.\nAnswer: 7, 3774601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51300, 205092, 461382, 820170, 1281456, 1845240, 2511522?\n\"Answer: 51249*l**2 + 45*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f - 17. What is c(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-16)\/(-22)*9\/(-36)). Sort x, -2, 5 in increasing order.\nAnswer: -2, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30744 is divided by 177.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 + 4*z**2 + 6*z = 0. What is z?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 4*j**2 - 2*j - 1. Let f(s) = -1584*s**3 + 6*s**2 + 5*s + 2. Give f(w) + 2*l(w).\nAnswer: -1582*w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 99, 155, 249, 393, 599?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/6*3 - 75\/(-15). Let q(k) be the first derivative of 8 - k - 9\/4*k**4 + i*k**3 + 0*k**2. Differentiate q(f) with respect to f.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 35*w**2 - 19*w - 744. Give k(-35).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 70 + 34 - 590*m.\nAnswer: -590*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glllxgxg. What is prob of picking 2 l?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5892218 divided by -2\nAnswer: -2946109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6104433146 to the nearest integer?\nAnswer: 78131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2411382 and -79\/354615.\nAnswer: 12056910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -40, -47?\n\"Answer: -7*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(18) - (-4 + (sqrt(13)*2)**2).\nAnswer: -48 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18066 and -2259.\nAnswer: -40811094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1002.7457 to the nearest integer.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 + 3*r. Let c(z) = -8*z**2 - 4*z. Give 4*c(p) + 5*j(p).\nAnswer: 3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.53 (b) 0 (c) 28 (d) 0.3 (e) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 3*b + 4. Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1152 (base 16) to base 7.\nAnswer: 15633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/11, -2\/27, 2, 3.9 in decreasing order.\nAnswer: 3.9, 2, -2\/27, -20\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.101 in -4, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30111625, -120446490, -271004597, -481785946, -752790537, -1084018370, -1475469445?\n\"Answer: -30111621*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:31 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 108864*u + 44 = -108862*u, 19*u = -10*p - 198 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - b + 3*b + (-4*b - 11*b + 4*b)*(2 - 3 - 4) in the form m + d*b and give d.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(4\/(-1 + -1)). Suppose -2*t - i = -6*t + 231, o = -5*t + 5*i + 300. Let l = t + -22. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 11*a + 26. Let p be t(-8). Let q be 442*p\/(-2)*(10 + -11). What is the greatest common factor of q and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t - 5*t + 11 - 3*t - 14 + 4 to m + x*t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 - 173*y**2 + 7395*y + 7569 = 0. What is y?\nAnswer: -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 155*d + 131. Let f be b(31). Let s = 29759\/6 - f. Calculate the common denominator of 61\/33 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + n - 4. Let y be f(0). Suppose -5*p - 3*i + 0*i = -31, 3*p - 3*i - 9 = 0. Let j = p + y. Calculate the remainder when 2 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -24, -83, -198, -387, -668, -1059?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab0 (base 13) to base 10.\nAnswer: -1833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 917575142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 28 = -27. Suppose 14*l - 24 = x*l. Solve 0 = -2*z + l - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 < 1033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 87 + -56.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, -14.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**2*w)\/w)\/w)**(-30)*((w*w**(-2))\/w)\/(w**(2\/15)\/w*w))\/(w\/(w**(2\/17)*w)*w*w**(-7))**(-3\/4) assuming w is positive.\nAnswer: w**(-9364\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - x + 76 = -11, 4*x + 12 = 0. Let u = o + 6. What is the units digit of (u\/5)\/((-45)\/600)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 586*l**2 + 2*l + 35. Let q(i) = 109*i**2. Determine m(q(g)).\nAnswer: 6962266*g**4 + 218*g**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/5)\/((-8)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228*v**3 + 2*v**2 - 2*v + 15239 with respect to v.\nAnswer: -684*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*q**2 - 2*l**2 + 7*q**3 - 3*q**2 + 147*q + 1 wrt q?\nAnswer: 4*l**2 + 42*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 15345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30093\/50155)\/(3\/(-7)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r + 4. Let j = 1 + -5. Let x be i(j). Suppose -5*c + x*c = o - 19, 4*o + 95 = 5*c. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l + 26. Let k be f(6). Let h = k + -62. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 109 + 4*w + 75 - 4*w - 2*w.\nAnswer: -2*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 minus 0.40964906021?\nAnswer: -44.40964906021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*w + 185 = 3*w, 3*w = -p + 31. Let u = -33 + p. Calculate the highest common divisor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(264\/(-18))*(-39)\/((-1755)\/(-210)). Determine t so that q*t**3 - 1\/4 + 27\/4*t**2 + 3*t = 0.\nAnswer: -1, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*5\/(-20))\/(((-6)\/(-220))\/((-906)\/3775)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 - 5*w**2 + 801*w + 1615. What is a(-2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {w: 2, d: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 6 = 34 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 64 = 3*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41824*h**2 + 51 - h**4 + 41824*h**2)*(1 + 0 + 1) to the form y + z*h + o*h**2 + k*h**3 + t*h**4 and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 + u**4\/12 - u**3\/6 + 2*u**2 + u. Suppose -44*y = -67*y + 37*y. Determine t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -387*i + 410 + 162*i + 224*i as x*i + t and give t.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2023467 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0 + 0)*(-2 + 2 - 2)*(6 - 6 + y**2).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**2*x**3 - 9*j**2*x - 4*j**2 + 49*j*x**3 wrt x.\nAnswer: -18*j**2*x + 294*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 71 + 3056*j - 3057*j)*(2*j + 0 + 0) to t*j + k*j**2 + d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 + 111. What is the second smallest value in j, -2\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 100. Suppose -2*m - 45 = -2*b + 3, 5*m + 3*b = -y. Let d be 2\/(-5) - m\/110. Put 0.4, 5, d in decreasing order.\nAnswer: 5, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/1252)\/((8\/3702)\/(-2)). Let s = -4\/313 + x. Calculate the common denominator of -43\/2 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58893)\/(-737) - 80)\/(4\/(-11)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*p - 9013, -4*g + p + 6926 + 2105 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70359993217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*b - 3 = 1, -b = -3*x + 14. What is m in 8\/9*m**2 + 0 + 2\/3*m**3 - 2\/9*m**5 - 4\/9*m**x - 8\/9*m = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127.2 + 113. Let g = w + 15.2. Let h = 2.92 + -3. Is g greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/48*((-3)\/(-1) + 1)\/((-64)\/832).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*p + 12 = 0, -y = -34*p + 37*p - 9. Suppose y = -14*h + 9186 + 1048. Does 38 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/((-91)\/(-14)) - (0 + -2). Suppose -7*q + 5*q = 0, x*q + 1 = u. Solve 0 = -4*b + 3*b + u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2726 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let n = -479 - -6235\/13. Let o = 35\/78 - n. What is the second biggest value in -3\/2, p, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - 4*d + 1. Let u be g(3). Let a be (1*-3)\/(3\/u). Sort a, -1, 5.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -337*d**3*v - 29*d**3 - 3*d**2 wrt v.\nAnswer: -337*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 35*m**3 - 31*m - 6. Let n(p) = 105*p**3 - 93*p - 17. Let i(f) = 6*n(f) - 17*v(f). Find the second derivative of i(l) wrt l.\nAnswer: 210*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k + 11. Let q(a) = 3*a + 3. Let o(f) = 6*i(f) - 22*q(f). Let v(y) = y. Determine v(o(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 7480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96914070 to the power of 1\/2, to the nearest integer?\nAnswer: 9844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 7*g**2 + 13*g - 23. Let t be w(8). Suppose -t*h + 15453 = -2040. Calculate the greatest common factor of h and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:07 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646 is divided by 1686?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u. Let r(c) = -3 - 15*c + 12*c - 18*c - 2. Let j(g) = -232*g - 56. Let n(f) = -5*j(f) + 56*r(f). Calculate n(x(p)).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2 and -35\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5775 = -6*u + 24*u. Calculate the least common multiple of 133 and u.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/27)*w\/((w*(w**(-1\/10)*w)\/w)\/w*w)*w**1*w)\/(w**33\/w**(-14)) assuming w is positive.\nAnswer: w**(-12163\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f - 10. Suppose -3*y - 25 = 11. Let t = f - y. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331 + 327. Let x = 3 + -10. Let q = x - -2. What is the nearest to -3 in y, 2, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2 + 97809044*s + 97809042 = 0.\nAnswer: -48904521, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 358\/9 - (-6)\/27. Let a = s - 18. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/(-378))\/(4\/(-300)*4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 5*z**2 - z - 3. Let x be v(-5). Let g be 2 - (-3 + (-2 - -3)). Determine j so that -j**g - j**3 + x*j**2 - 2*j**3 + 2*j**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*i*n*y**2 + 3*i*y**2 + 523*i*y + 8*n*y**2 + 8*n*y + n + y**2 + 168*y wrt i?\nAnswer: 38*n*y**2 + 3*y**2 + 523*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0342 - 1.053.\nAnswer: -1.0872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1898, -8382, -19194, -34340, -53826, -77658, -105842, -138384?\n\"Answer: -u**3 - 2158*u**2 - 3*u + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1477 and 230482?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -2, -7107, 6\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79 and 33683?\nAnswer: -2660957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*m + 3*m + 135, 0 = 3*l - 2*m + 235. Let z be (-10)\/l + 56\/30. Solve -j = 4*d - 5, -5*j = -z*d - 6 + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i**2\/2 + 3573*i - 376 = 0. What is i?\nAnswer: 2\/19, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -11*o**2 - 13\/1155*o**7 + 1\/20*o**6 - 41\/330*o**5 + 0*o + 0 - 2\/11*o**3 + 1\/924*o**8 + 25\/132*o**4. What is a in n(a) = 0?\nAnswer: 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-2)*5\/(20\/(-7)). Solve r + q = 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 16, e: 4}. Give prob of picking 3 o.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 89*z**4\/12 - z**3\/6 + 7*z**2. Suppose a = -c + 7, -a + 3*c + 27 = 8*c. Is y(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 40*j + 35.\nAnswer: 5*(j - 7)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3)*3 - 12. Let v = u - -19. Suppose -2*a - 2*a = -v. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 6*f**4 - 11*f**3 + 6*f**2.\nAnswer: -f**2*(f - 3)*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (31 - 2\/(-1)). Suppose -4*c + 2*u + 11 = -3*c, 5*u + f = 3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 2*d - 20. Determine c(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 less than 4796?\nAnswer: 5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 7*o + 11. Let n be h(-8). Calculate the lowest common multiple of 7 and -1 + 1 + (4 - n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l**5 - 33*l**4 + 18*l**3 + 36*l**2 - 24*l = 0. What is l?\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*t**2 + 56*t**2 + 0*t + 3*t**3 + 26*t + 20*t wrt t?\nAnswer: 18*t + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 4*j + 6*j + 10*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j + 6. Let n(p) = 3*p**2 + 10*p + 18. Let h(f) = -6*n(f) + 17*q(f). Let v be h(-8). List the prime factors of (-35)\/(-10) + (-1)\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 50. Which is smaller: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214 - -309. Calculate the remainder when v is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2. Let z(n) = -5*n**2 - 12*n**2 + 43*n**2 + 8*n**2. Determine h(z(d)).\nAnswer: 11560*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18130 - 20.4.\nAnswer: 18109.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**4\/4 + 8*v**3\/3 - 7*v**2 - 54*v - 308. Calculate j(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-12)*(-6)\/4*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 487*v + 27845. What is d(-57)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.057 - -0.343. What is the biggest value in -3\/4, d, -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26504184 or -26504182?\nAnswer: -26504184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56332144, 56332132, 56332120?\nAnswer: 56332108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohootokkhoooohhoooo. What is prob of sequence ooh?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b - 7250 + 9560 = 0 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 392, 0.4, 71.2, -1\/5 in increasing order.\nAnswer: -1\/5, 0.4, 71.2, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 25*z**5 + 17540*z**4 + 1034290*z**3 + 3528540*z**2 + 1748565*z = 0?\nAnswer: -637, -61, -3, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47a - -519?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 41*u**2 - 18*u - 21. Give n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*k + 74*k - 6*k - 447*k - 94*k to g + i*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*8\/20)\/((-12)\/(-20)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-21))\/2)\/(6\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -267?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5 in decreasing order.\nAnswer: 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -420, -3282, -11038, -26136, -51024, -88150, -139962, -208908?\n\"Answer: -408*j**3 + j**2 - 9*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.288123 milligrams?\nAnswer: 3288123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -463 + 833. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1554023*a*u**2*x - 156*a*u*x - 2*a - 3*u**2*x + 2*u*x + 14*u + 20*x wrt u?\nAnswer: -3108046*a*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xolo when four letters picked without replacement from {x: 2, l: 1, t: 3, o: 3, z: 1, a: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, 1\/5, -80\/67 in descending order.\nAnswer: 8\/3, 1\/5, -80\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*57572\/(-5057)*(-65)\/15.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -35*s + 15 - 32 - 13. What are the prime factors of p(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-20)\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 10153783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11682 and 24750.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kybkrbkrkbkkb. Give prob of picking 3 b and 1 r.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278\/595 - 8\/119. What is the closest to h in -0.5, -1\/6, 0.044, 2?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 9. Let k be t(-6). Let p be ((-80)\/24)\/((-2)\/k). Let j be 20 + (-4)\/2 + 2. What is the highest common factor of j and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(2\/17)*h*h))\/h*h)\/h**9)\/((h\/h**(2\/39))\/(h*h\/((((h*h**7)\/h)\/h*h*h)\/h))) assuming h is positive.\nAnswer: h**(-10652\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55282, -110589, -165896?\nAnswer: -221203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10037 = -3*z, 2*z = -2*p - 0*z + 10042. Suppose -3*q = p + 332. Let u = -1075 - q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/619 (c) 3 (d) -194 (e) -4 (f) -0.5 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.26 - -1.23. Which is the biggest value? (a) -3 (b) -10 (c) -0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 3. Let o be 1 + 6\/(-5) + 80\/25. Let s(b) = o*b - 2*b + 0*b. Calculate c(s(j)).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**3 + 3*l**2 + 3*l + 10. Factor o(q).\nAnswer: 3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/369705 and 27\/2.\nAnswer: 739410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 7 + g - 3*g - 2*g**2. Let u(j) = -3*j**2 - 12*j - 5. Let i be u(-4). What is b(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77255749?\nAnswer: 5281, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -15.1.\nAnswer: 75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.2924792 months?\nAnswer: 0.001077066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419\/2 - 214. Suppose -2*f + 4*u - 5*u - 14 = 0, -3*f + 1 = -4*u. Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -587?\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*i = i - 25, -i = 4*z - 5. Solve 0 = -4*w, z = -5*u - 3*w - 1 + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v - 1. Let f(c) = c**2 - 6*c. Let x(k) = 3*f(k) - 2*m(k). Let y be ((-4)\/2)\/(49\/(-14) - -3). Calculate x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 17 = -3*t, 24*i + 10 = 26*i - 2*t. Calculate the remainder when 301 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.051 - 0.051. Let k = y + -25. Put k, -0.06, -0.3 in descending order.\nAnswer: -0.06, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 + 12.69. Let o = w + -7. Let u = o + -5.9. Which is the nearest to u? (a) -4 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 99, 4, 2, -74?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187231605007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-4 + 11)) + (2 - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 17*n**2 + 37*n - 94. Let q be b(3). Calculate the highest common factor of q and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - -6. Suppose 2*h + 12 - 128 = 0. Suppose -4*p - 12 = 0, -4*u + 5*p = 7 - h. What is the remainder when g is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 - 35 - 32)*(4*h + 0*h + 2*h) to k*h + y and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 + -102?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*k = -3*k - 3*k - 17, 4*q - k = 15*q - 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15010 and 26426606?\nAnswer: 132133030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - u)*(-413 + 86*u + 413)*(-u**2 + 2*u**2 - 3*u**2) + (-2*u**3 + 3 - 3)*(2*u - 1 + 1) + u**4 + 5*u - 5*u)*(6 - 6 - 5*u).\nAnswer: -845*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -424014001 (base 5) in base 3?\nAnswer: -10100112221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 3:34 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1144 - -2?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 5, i: 3, k: 3}. Give prob of sequence kkh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -142*b**3 + 2*b**2 + b. Let o be v(-1). Suppose 0 = 3*z - 40 - o. What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**2 + 283*h**3 - 281*h**3 - 2 + 2.\nAnswer: 2*h**3 - 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3 = -7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m + 2187747 - 2187747.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13094?\nAnswer: 2, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z**(-4\/5)*z))))**(-3\/40) assuming z is positive.\nAnswer: z**(-3\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 7, 103, 5, -5 in ascending order.\nAnswer: -16, -5, 5, 7, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 235260 and 450.\nAnswer: 1176300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 5 - 232*q**2 + 465*q**2 - 234*q**2 + 2*q**3 to the form m*q**2 + y*q + i + b*q**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 - (-623)\/(-35) - (-7)\/15. What is the nearest to 0.2 in 2\/31, -0.04, r, -5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 836 + 310. What is q rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.16478 decades in centuries?\nAnswer: 9.016478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, -15, -2, 2 in descending order.\nAnswer: 2, 0.1, -0.2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.43982 nanograms in grams?\nAnswer: 0.00000009443982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.207263436 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 - 186.4. Let z = o + -6. Let w = 66 - 64. Which is the second biggest value? (a) -0.2 (b) 0.1 (c) z (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**2 - 25*i + 11. What is the remainder when p(5) is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 57*b + 663. Determine f(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 35, 39, 41, 41, 39?\n\"Answer: -b**2 + 9*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208.8 - 179. Let m = -31.8 + y. Let o = -0.43 - -0.03. Is o at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32218\/1079 - 210222694\/7008105. Let s = -2\/433 - z. Let m = s - -4\/15. Which is the closest to m? (a) -0.1 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swomodt. What is prob of picking 1 t, 1 w, 1 o, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-2)\/(-12)*10. Suppose -66 = -y*f - 1. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 3*a**2 - 7*a - 10. What is i(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/4 - (0 + -2). Let g(r) = r + 1. Let l be g(5). Let u = n + l. Which is the closest to u? (a) 1\/2 (b) 2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**33)**(1\/3)*s*s*s**(-4\/7)*s**(-7\/9))**(-1\/8) assuming s is positive.\nAnswer: s**(-367\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 222.193 - 222. What is j rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w**3 - 6*w**2. Let i(u) = -u + u - u**3 - u**2. Let v(o) = 5388*o + 59269. Let h be v(-11). Determine h*c(y) - 6*i(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*l = -3*h + 14, 5*l = -5*h + 20. Suppose -5*o = -h*o + 1. Calculate the lowest common multiple of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93a (base 12) to base 11.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000205 (base 6) to base 15.\nAnswer: -1ca0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - 7. Let b = -15 - g. Let l(q) = q**3 - 6*q**2 + 5. What is the least common multiple of b and l(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*j - 20028 + 50434. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let z(m) = -41427193*m**2. Determine z(v(w)).\nAnswer: -165708772*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 15, 16*u - 17 = -2*x + 11*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -4 - (-6 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-395)\/(-10) - 9\/(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015358666 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5808\/(-54))\/11 + 10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -6\/11, 0.5, -3\/6080, -1\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 8, 0, 0.07?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 - 291*p - 295. Let v(m) = 3*m**2 + 144*m + 147. Let g(j) = -3*f(j) - 5*v(j). Find s such that g(s) = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 2*f**5\/3 - f**4\/3 + 35*f**3\/2 - 208*f**2. Is b(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 1\/15*u**6 + 0 + 4*u + 0*u**5 + 0*u**4 - 1\/6*u**3 + 0*u**2. What is the second derivative of s(q) wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (71526\/455)\/(4\/50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**2 - 331*a - 1447. Determine d(47).\nAnswer: -1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3373632, -3373631, -3373630?\n\"Answer: c - 3373633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -2978.02 + 21.02. Let k = q - -2970.39. Round k to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 88*w - 70 = 0. Let i be (-9)\/(1 - (w + 5)). Solve -i*p - 10 = 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1189362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:12 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 - 36*x + 33 = 0. Calculate x.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1442.47 and 0.04.\nAnswer: 1442.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*y, -2*h + 23 = y - 26. Differentiate 2*k - h - 10*k - 2272*k**2 + 2266*k**2 with respect to k.\nAnswer: -12*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -2*m + 48, -3825*u = -3826*u - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 23*y = 19*y - 13, 4*o + 5*y = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:10 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.37 in -0.3, 0.2, -16, 12, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 523424671 and 12357.\nAnswer: 4710822039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1110011010?\nAnswer: -1110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n. Let s(y) = 67 - 67 - 5*y**2. Determine s(t(b)).\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/7 - 13*r**3\/7 + 46*r**2\/7 - 32*r\/7.\nAnswer: -r*(r - 2)*(r - 1)*(r + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -5, -79, -243, -527, -961?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15090.35 rounded to the nearest 100?\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 + 24*f - 66 wrt f.\nAnswer: 4*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43*j**2*o**2 + 13*j**2*o + 192*j**2*q + 2*j*o**2*q wrt q?\nAnswer: 192*j**2 + 2*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027828 rounded to five decimal places?\nAnswer: 0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -3\/4, -0.2, -11 in ascending order.\nAnswer: -11, -3, -3\/4, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -379*y**6 + 85*y**5 + 6*y**2 + y + 1103.\nAnswer: -45480*y**3 + 5100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*x + 4*x - 3, c - 3*x = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 84060\/1620 - (-1 + 188\/9 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 0*x + 155 = 5*u, 2*x + 312 = -3*u + 3*x + 407 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/7, 43, -1\/5, 474 in ascending order.\nAnswer: -1\/5, -1\/7, 0.3, 43, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.1 - -4.1. Let o = 24 + f. Let a = 10.4 - o. Round a to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 4\/17, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(147\/(-7)))\/((-66)\/44)*-21?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2581725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46321 (base 8) to base 16.\nAnswer: 4cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(17) - (sqrt(17) + 2)) + sqrt(17)) - (sqrt(1088) + 2 + sqrt(1088))) + -3*(-2 + (1*sqrt(85))\/sqrt(5)))**2.\nAnswer: 168*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 55*d - 2680. Calculate g(66).\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*p = 12545, 4*d - 22*p = -21*p + 25063. Is d a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/23*(-121)\/(-88)*(-84)\/154.\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1232 - 5*t**3 + 3*t + 1245 - 3*t**4 + t**4 as k*t**2 + y*t + w*t**4 + i*t**3 + s and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1923*n - 282722. Give x(147).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4194 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18.48 and 56341692794.\nAnswer: 56341692775.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*a - 1 = -24, 0 = -4*z + 3*a + 25. Suppose z*f - 22 = 6. Suppose -4*w + 2*o + 1948 = 0, 4*w = 2*o - f*o + 1948. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 4*q**3 - 4*q**3 + (10*q - q + q)*(-3*q**4 + 2*q**4 + 3*q**4).\nAnswer: 18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1917 + 1763 = 0. Find the second derivative of -152*d**2 - 14*d - 167*d**2 + p*d**2 wrt d.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13437 + 13671. What is the greatest common divisor of 54 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 times -1285?\nAnswer: 244150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7136 is divided by 254.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/375555 and -57\/5057474.\nAnswer: 75862110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**4 + p**2 - 1. Let q(v) = -34*v**6 - 6*v**4 + 8*v**2 + 4. Let h(f) = 6*d(f) - q(f). What is the third derivative of h(i) wrt i?\nAnswer: 4080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118200 by -29550.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 - 3*t**3 - 4 - t**2 to the form g*t**2 + n + s*t**3 + w*t and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m - 20*m + 63*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -381, -379, -377, -375?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2981 + 4*b + 2981 - 9*b**3 + 13*b**3.\nAnswer: 4*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, j: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117948 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.25? (a) 2 (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -317 - -192. Let l = j - -124.7. What is the closest to -2\/9 in -2\/9, l, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 8*c**2 - 3*c - 17. Determine j(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7213, 14429, 21645, 28861, 36077, 43293?\nAnswer: 50509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 990516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1103, 0, -3, 0.09, 3?\nAnswer: 1103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16388 divided by -34\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:13 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Let o = 20 + -15. Let a(b) = o*b**2 - 2 + 2 + 0. What is w(a(g))?\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g - 6. Let v be ((-28)\/(-56))\/((-2)\/(-8)). Calculate q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5105 + -0.0105. Put 2.5, m, 9\/13 in descending order.\nAnswer: 2.5, 9\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15. Let r = -6011 - -6015. Which is the third smallest value? (a) 2 (b) r (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 68717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 108 = 84. Solve 2*v - 6 = -q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 - (14 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let x = -142333\/3 + 47444. Let p be (-3)\/4*56\/63. Sort b, x, p in descending order.\nAnswer: x, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 12*d**2 - 27)*(-8818*d - 26 + 5 + 8822*d) to a*d**2 + u + s*d**3 + z*d and give a.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650557.4l to millilitres.\nAnswer: 650557400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 0.0576, -5, -0.4?\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + (sqrt(2736) - 3*sqrt(2736)) + sqrt(2736)*-5 + -1)**2.\nAnswer: -168*sqrt(19) + 134065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47450 and 2245?\nAnswer: 21305050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(420))\/sqrt(12))\/sqrt(5) + 2)*-5.\nAnswer: -10*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {f: 6, t: 4, b: 1, n: 2, m: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13068612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112\/6 + (-8)\/12. Let i = -13 + g. Let a(b) = b**2 - 4*b - 2. Let r be a(i). Solve w + 10 = r*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129380417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28382 (base 10) to base 2.\nAnswer: 110111011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1872) + -5)**2 + sqrt(143)\/(sqrt(1331) + sqrt(1331)*2 + sqrt(1331)).\nAnswer: -2111*sqrt(13)\/44 + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -1\/9*o**4 - 98 + 0*o**2 + 0*o + 212\/27*o**3. What is j in u(j) = 0?\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 131*p**4\/12 + p**2\/2 + 2*p. Let h be c(1). Suppose h = 3*d + 2*y + 3*y, 0 = -5*d - 3*y + 236. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21176687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 2*m**2 + 0*m + m - m - m**2 - 5*m**2 + 0*m**2 + 3*m**2 + (2*m - 2*m - m**2)*(-2 + 2 + 2) + (-1 + 1 - 2*m)*(7 - 4*m - 7).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.32 - 1.38. Which is smaller: k or 23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -94\/7*l**2 + 2\/7*l**3 + 0 + 1100\/7*l = 0?\nAnswer: 0, 22, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62\/77? (a) 3 (b) -0.11 (c) 0.2 (d) 1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + t)*(2 + 5 + 1) + (-1 + 1 + 2)*(-6*t + 2*t + 2*t).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 1.3. Sort w, 5, 0.2.\nAnswer: w, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/10998 and 127\/196272.\nAnswer: 2551536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 17, 1052.\nAnswer: -5, -1, 17, 1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(78) - -2*sqrt(78))*3 - sqrt(78)))\/((sqrt(216) + sqrt(216) + sqrt(216)*-1)*3 - sqrt(216)).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*v**4 - 264603*v**3 + 11657219 wrt v.\nAnswer: 16*v**3 - 793809*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4 = -4*c + 2*f, f = -4*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.286 + -0.286. Let n = 0.2 + -0.1. Which is the nearest to n? (a) 4 (b) 1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -383 + 387.2. Which is the smallest value? (a) 3\/4 (b) 0.3 (c) m (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -66\/5?\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 941 divide 3228571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/1941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -99, -46, 65, 228, 437?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11656?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + p + 1 = 0, p = -p - 10. Let i be 0 - h*2\/(-2). Find the third derivative of -i*b**6 - b**2 + 5*b**6 - b**6 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121.8 - -121.5. Sort -4, 0.4, -77, n in increasing order.\nAnswer: -77, -4, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4311 (base 7) to base 14\nAnswer: 7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 9, r: 3, e: 1, l: 2}. What is prob of picking 2 r, 1 e, and 1 u?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 159353?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t = 5*u + 4, u + 26 = 5*t. Suppose -3*s - t = -5*s. Let -4 + 5*q**2 + 2 - 3*q**s + 4*q + 3*q - q**3 = 0. What is q?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 43, 58, 73, 88, 103?\n\"Answer: 15*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -44. Let y(t) = 3*t - 7. Determine -2*r(d) + 8*y(d).\nAnswer: 24*d + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1.2143 (c) -1\/2 (d) -7 (e) 0.4 (f) 0.1 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -41. Suppose -x = -4*v + 140. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 1.6. Let a = -1.4 + k. Let b = 0.8 + a. Is 2\/17 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12 + 7*q - 1 + 18. Let i(r) = -r - 1. Calculate -a(n) - 6*i(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -2)*16\/(-3). Let j be (-2)\/5 - f\/(-10). Solve j = -t - 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 6*r**2 + r + 5. Let j be x(4). Let w = 48 + j. Solve w = 4*t + t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217 + 217. Let r = 7 + -6. Which is the closest to q? (a) r (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13743 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/5*(-1)\/(-6). Let k be 2\/(-7) + (-5)\/(-140). What is the closest to -0.1 in u, k, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 2. Suppose q - 6 + 3 = l, -4*q - 20 = 4*l. Let b be w(l). Find the second derivative of -15*n**b - 5*n**2 - 15*n + 23*n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142831*f**5 - 2396*f**2 - 20?\nAnswer: -8569860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -47.29?\nAnswer: 46.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079038157?\nAnswer: 1079038157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -o - 2*w + 368, -1987 = -3*o - 2*w. What is the remainder when o is divided by 96?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, -12, -3, -16 in ascending order.\nAnswer: -24, -16, -12, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 110, 379, 902, 1763, 3046?\n\"Answer: 14*o**3 + o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -67*g**3 + 3*g**2 - 5*g + 6. Let v be q(-3). Suppose 812 = a - v. Is a 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 4195444116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/270 and -121\/4626?\nAnswer: 69390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 9*x**2 + 2*x - 4. Let b be 1\/((-56)\/(-18) - 3). Calculate the remainder when i(b) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 6. Let q(s) = -7*s - 8. Let l be q(i). Suppose -3*u + l = -8*u. Which is the second biggest value? (a) -1 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*t + 20742 = 0, 4*z + 3*t = -0*t + 20717. What are the prime factors of z?\nAnswer: 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/2 (b) 5 (c) -2 (d) -0.149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 255\/2025742 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:19 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 177978, 356072, 534166?\n\"Answer: 178094*b - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = t - 2028, 4*c + 21*t - 4060 = 17*t. Let s = c - -1478. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24339301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f. Let h be (-1)\/(f + (-2)\/4). Factor -2 + 5*z + 2*z**h - 7*z - 2.\nAnswer: 2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21328 + 136?\nAnswer: -21182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*u - 13, 0*f - 5 = -2*f - 5*u. Suppose 0*q - f*q = -30. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1083813 decades in months?\nAnswer: 13.005756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1506.01 - -1498. Let d = -114.69 + g. Round d to the nearest integer.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/220)\/(6\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/7, 2\/9, -10, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 253779264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -0.5, 0.02, -6\/823, 1\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, -1, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516.2081l to millilitres.\nAnswer: 516208.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 1) + (-3)\/((-15)\/100415). What are the prime factors of q\/19 - 12\/114?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a - 29*a + 2907 = 13*a + 47*a for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.88, -3\/2 in increasing order.\nAnswer: -3\/2, 0.88, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5091731 is divided by 1519?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from szzjgcjzss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 744 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5187 and 139\/861042.\nAnswer: 861042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/p)**31\/(p**0)**18*(p**3\/p*p*(p\/(p*p*p*p**(2\/17)))\/p)\/(p*p\/(p**(-6)\/p)*p*p**6) assuming p is positive.\nAnswer: p**(-2951\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = -g + 4*g + 2*s, -g + 57 = -4*s. Suppose 4*k + 1 = -z + 3, k = 4*z + g. Let q = 25 + z. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002804872 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100010001 (base 2) in base 9?\nAnswer: -22032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + 3*n)*(-202 + 16*n + 202 + (-4*n + n + n)*(-3 + 0 + 1) + 4*n - 6*n + 0*n).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(204) - (sqrt(204) + (sqrt(204) - -2*sqrt(204))*-5 - sqrt(204)) - 5*-1*sqrt(204))*4)\/((sqrt(60)*-3*5)\/(1*sqrt(720))))**2.\nAnswer: 7676928\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 595.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 4. Let x(b) = -6*b - 13. Let t(a) = -13*m(a) + 4*x(a). Let f(u) be the first derivative of 6 - 23\/2*u**2 + 0*u. Calculate f(t(i)).\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 5. Let p be l(-4). Let x = -95 + 152. Suppose -5*z = -x - p. 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: What is -260062 (base 7) in base 4?\nAnswer: -23233000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1245\nAnswer: -1\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 7, 9, 25, 55?\n\"Answer: 7*j**2 - 33*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(190)*1 - sqrt(190)) - sqrt(190))\/(5*(sqrt(90) + sqrt(10))) - (1 + sqrt(171) + -1 + sqrt(171) - (-1 + 1*sqrt(171))))**2.\nAnswer: 61*sqrt(19)\/10 + 71099\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -83. Suppose 4*l - 40 = -2*h, 3*l + 2*h - h - 30 = 0. What is the greatest common factor of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -7. Suppose -279 + 210 = z. Let u = -67 - z. Sort o, u, 0.\nAnswer: o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2460680*y**4 + 2460680*y**4 + 2*y**2 + 320*y - 2942*y**5 wrt y.\nAnswer: -176520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -570, -5, -1\/91 in decreasing order.\nAnswer: 2, -1\/91, -5, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6983, -55711, -187997, -445631, -870403, -1504103, -2388521, -3565447?\nAnswer: -5076671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 152\/2659013?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1568402, 1568397, 1568392, 1568387?\n\"Answer: -5*s + 1568407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, k: 10}. What is prob of sequence xkxx?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -852647, -852500, -852355, -852212?\nAnswer: -852071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 3. Suppose -i - 4*i - 10 = -4*h, -4 = 2*i. Are h and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 + 230*l**2 + 2360*l + 3840 = 0. What is l?\nAnswer: -32, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 27. Let v(b) = -b**3 + 7*b**2 - 105*b + 748. Let c be v(7). Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -435601.8 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 8. Suppose 3*f + 2*z + 2*z + 16 = 0, 4*z = v*f - 16. Suppose f*h - 3*h - 3 = 0. Is -4\/7 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -372964, -745948, -1118932, -1491916, -1864900, -2237884?\n\"Answer: -372984*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23847696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6257441*h**3 - 944066*h**2 + h - 3.\nAnswer: -37544646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3252 + 12050 = 1006*c - 7298 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1580, -2577, -3564, -4535, -5484, -6405?\nAnswer: -7292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6\/35, 1\/11, 1\/21, -13\/10, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 0*h + 0 - 2 = u + 2, 5*h + 5*u + 5 = 9*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237881543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**2 - 346472*t - 33*t**2 + 88*t**2 + 346472*t - 31*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 103795403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3519125 divided by -5.\nAnswer: -703825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 61 = 19. Suppose 0 = 8*s + b*s - 300. Solve c = -5*q + 4*c - s, 16 = -4*q - 4*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012380601 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 448. Let d(o) = 4*o**2. Give v(d(p)).\nAnswer: -12*p**2 + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000244061902 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -198, -404, -616, -834?\n\"Answer: -3*w**2 - 197*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7152, -4, 48, 0.3.\nAnswer: -4, 0.3, 48, 7152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 16*u - 1. Let z be o(-5). Let f be (((-73023)\/z)\/(-1))\/(4\/(-16)). Is f\/(-33) - (6\/11)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5*u = -3775 - 1521, 5*v + 4*u - 4446 = 0. Does 49 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*w + 357. Which is greater: w or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21331003001 (base 4) to base 5.\nAnswer: 1131444340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0, -2, 2 in increasing order.\nAnswer: -4, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/2 of a hour?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2\/r)\/(r*r*r\/(r**(-7\/6)*r)))\/(r\/(r**3*r))**(-42) assuming r is positive.\nAnswer: r**(-763\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 18519*f**2 + 29421120*f - 2578406400.\nAnswer: 3*(f - 3040)**2*(f - 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c + 1. Give v(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, -46, -95, -170, -277?\n\"Answer: -u**3 - 4*u**2 - 10*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {v: 3, u: 13, z: 1}?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1)\/2*(-708)\/1475\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 139263775, 139263776, 139263777, 139263778, 139263779?\n\"Answer: y + 139263774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 98081, 98082, 98083, 98084, 98085, 98086?\n\"Answer: u + 98080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54420, 54565, 54710, 54855, 55000, 55145?\n\"Answer: 145*j + 54275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299169957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o - 2 + 9*o + 11*o. Is a(4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -16.061?\nAnswer: -12.8488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472815 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 + 1. Let a(f) = 9*f**3 + 4*f**2 + 3. Let q(b) = 4*b**2 - b - 1. Let i be q(0). Determine i*a(j) + 4*z(j).\nAnswer: -5*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -6, -112, 1, -2 in descending order.\nAnswer: 18, 1, -2, -6, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110100 (base 2) in base 11?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 43399*g - 824725. What is h(19)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -92, -136, -180, -224?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-44)*(16 - 936\/57)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**4 + 13*q**4 - q**4 - 3*q**2 - 14*q**2 wrt q?\nAnswer: 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + d44c58?\nAnswer: d44c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -23. Let r = 86 - g. Suppose 13*l - 44 = 9*l. What is the remainder when r is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnynyynnyyny.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3922 = -36*g - 1421 - 1817 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158978646?\nAnswer: 2, 3, 101, 103, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481 - 688. Let n = l - -205.21. Let t = n + 1.7900097. Round t to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13.0116. Round o to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10703.33254 + 1.3.\nAnswer: 10704.63254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1865880 divided by 2190\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*y + 21, -5*t + 20 = 3*y - 0*y. Suppose 3 - 8 = -y*q. Is 212 - (4 - 3)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -898688 by 119.\nAnswer: -7552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*42\/(-112). Which is smaller: d or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17532099 + 17532099 - 161*p**2.\nAnswer: -161*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:34 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27095063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x**2 + 41*x - 3. Let m be t(3). Let f be (-595)\/840 - m\/16. Which is the closest to f? (a) 3 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -230, -467, -708, -953, -1202, -1455, -1712?\n\"Answer: -2*k**2 - 231*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/(2\/(-1))*3\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = 0, 5*u - t + 107 = -0*u. Let g = 16 + u. Let b = 491 - g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 346*c**3*k**3 - 2*c**3*k**2 + 3*c**2*k**3 + 106*c*k**3 wrt c.\nAnswer: 2076*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 + -1)*2)\/(94 - 90). Let z(j) = j**2 - 36*j - 347. Let m be z(44). What is the closest to -0.1 in b, -5, m, -13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 0*h = 0. Suppose -2*j + 2 = h, a + 5*j = -0*a + 58. Suppose a*y = 55*y - 16. Put 0, 4, -2, y in descending order.\nAnswer: y, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 650*p - 15680.\nAnswer: -5*(p - 98)*(p - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 329552013209\/58187687250 - 1\/29702750. Let w = 2\/653 + z. Factor -11\/3*f**4 + 2\/3*f**5 - 20\/3*f + 2\/3*f**2 + w*f**3 + 8\/3.\nAnswer: (f - 2)**3*(f + 1)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 19*u = 0. Let q(d) = d**2 - 3*d - 6. What is q(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 11. Let s = 1032 - 610. Let n be s\/7 - (-2)\/(-7). Calculate the highest common divisor of n and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/57 + 283\/285. What is the nearest to -2\/9 in 1\/6, -1\/3, 4, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/sqrt(5))\/sqrt(11) - sqrt(10)\/(-2*sqrt(5)))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 479511*u**4 + u**3 - 2*u**2 + 297985*u?\nAnswer: 5754132*u**2 + 6*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(352)\/sqrt(8)*4.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**2 + 11. Let f(o) = 0 + 2 + 11*o**2 - 8*o**2. Let b(s) = -22*f(s) + 4*x(s). Let a(i) = i. Determine a(b(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*w**3 + 152*w**2 - 168*w + 1060?\nAnswer: 954*w + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-132))\/((-1)\/11). What is the third derivative of 455*y**3 - 899*y**3 - 67*y**i + 445*y**3 + 34*y**4 wrt y?\nAnswer: 816*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3)*1 + -2)**2)*-5.\nAnswer: -20 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12271873 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 411912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1775 at most as big as -1794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*u**4 - 216*u**3 - 99*u**2 - 12*u.\nAnswer: -3*u*(u + 4)*(4*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.769 + -0.099. Let l = k - -9.33. Sort l, 0.4, 2, 0 in descending order.\nAnswer: l, 2, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -4 - 15\/2*m**2 + 13\/3*m**3 + 2*m. Factor d(l).\nAnswer: (l - 1)*(13*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/2 + 70650\/15700.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -5012661?\nAnswer: 5012676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2\/57 (c) 2 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404866 is divided by 1404816?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 12) to base 8\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 156\/7. Let k be (2 - -1)*(14 - 2 - (-1640)\/(-120)). Which is the closest to m? (a) -1\/13 (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:58 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(4032) + sqrt(4032)*-2 + sqrt(4032))\/(sqrt(216)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2. Let z(j) = j**2. Let q(f) = c(f) - 4*z(f). Let p = -60 - -82. Calculate the smallest common multiple of p and q(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 2\/3. Suppose 0*x = -3*x + 6. Let i = 0 - x. What is the smallest value in g, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240030 (base 5) to base 10.\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - y)*(-5 + 2*y + 5) - 2 + 2 + y**2 - 58 + 58 - 9*y**2 as s + p*y**2 + v*y and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -534*t + 7. Suppose -11*o = -o + 10. What is the units digit of v(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1357 - (8 - (-88)\/(-8)). Suppose 0 = 3*p - 4*p + 2447. Let r = p - y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 56 = -4*k - 2*g, 4*g + 81 = 5*k. Let l = k + -7. Is l greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430 (base 7) to base 2.\nAnswer: -11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 12*o**2 - 10*o - 11. Calculate m(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-30)*11\/33*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.2. Let d = j + 0. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -834*m**6 - 249674 - 194*m**2 + 249677 - 1347*m**6 wrt m.\nAnswer: -261720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 554 + 2*f + f**2 + 4*f**2 - 538 to v*f**2 + m + g*f + z*f**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 10*q**2 - 736*q + 813. Calculate h(-33).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-8) + 21\/28. Determine b so that 12\/7*b**r + 24\/7*b - 2\/7*b**4 - 8\/7 - 26\/7*b**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 37 - 4480*d + 96*d - 15 in the form g*d + z and give g.\nAnswer: -4384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x. Let l(j) be the second derivative of j - j**3 + 0 + 1\/2*j**2. Let h(n) = -5*l(n) + 4*r(n). Determine h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - -2 - 10 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*z - i, -4*i = -i + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 135, 257, 367, 465, 551?\n\"Answer: -6*y**2 + 140*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 242 = -19*t + 17*t, 0 = 5*t - n - 627. Suppose -5*m - 113 = -6*a + 4*a, -2*a - 3*m = -73. What is the remainder when t is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + (-2 - 204\/(-192)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160682668*s**4 - 7022*s**2 - 633*s + 6 wrt s.\nAnswer: -3856384032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16*o - 16. Let w(l) be the third derivative of 5*l**4\/24 + 5*l**3\/6 - 1355*l**2. Determine -3*h(g) - 10*w(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j + 4*j - 57 - j. Let g be q(0). Find the common denominator of (3\/15)\/((-1)\/g) and 81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) 0.06 (d) -0.5 (e) 3156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -281 + 283. Let w(h) = h**2 - 1. Let u(o) = -o + 3*o**2 - 4*o**2 + 0*o + 3*o**2 - 3. Calculate c*u(y) - 6*w(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143436 divided by -143436.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16763 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 25*z**2 - 2*z - 1. Let n be u(-1). Let v be 2\/11 - (-13348)\/517. Calculate the greatest common divisor of v and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*p**2*z - 28*p*z + 3725*z wrt p?\nAnswer: -20*p*z - 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29230393 to the nearest integer?\nAnswer: 5407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from qev.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549796.\nAnswer: 2, 13, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106, -105, -102, -97, -90, -81?\n\"Answer: r**2 - 2*r - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -90. Suppose -6*i = -3*i - 4*g + 3, 5*i + s*g - 30 = 0. Let l(f) = -f + i*f + f. Let b(v) = 3*v**2. Calculate l(b(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 - 0.2. Let t = n + 0.4. Let c = t - -0.0400002. Round c to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -814)*2\/3. Let y be i\/(-6) - (-3)\/9. List the prime factors of (6\/15)\/((-2)\/y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(153)*-3)\/sqrt(9).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16 + -22)\/30)\/(8\/15)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 3. Let j be f(0). Let s = 125 + -183. Let d = 58 + s. Put d, j, -4 in decreasing order.\nAnswer: d, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6900 to the nearest 10.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1023\/4060 + -2\/1015. What is the third smallest value in 2, -0.19, o, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**3*u*u\/u**(-12))**(8\/7) assuming u is positive.\nAnswer: u**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 33*z - 1922. Let j be o(58). Let s(k) = -2*k - 4*k**2 + 7 + 3*k**2 - 6*k. What is s(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8148*h + 8160*h - 188 - 16300*h. Give o(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -3*u + 8, t - 5194929 + 5194927 = 2*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(3*z - 1 + 1 + z + z - z + (2 - 2*z - 2)*(-4 + 2 + 1))*(3 + 4*z - 3).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043305 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 8*b - 25. Let w be p(6). Let r = -17 - w. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**5\/120 + 2*j**3\/3 - 5. Let q(c) be the third derivative of p(c). Calculate q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7130, -7148, -7166, -7184, -7202, -7220?\n\"Answer: -18*d - 7112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21601?\nAnswer: 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by (-29072)\/(-1104) - (-26)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**3 - 2712*p + 1320*p + 1392*p.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -3*q**2 + 0*q + 0 + 0*q**4 + 3\/2*q**3 - 7\/24*q**6 - 1\/15*q**5. Find the third derivative of v(m) wrt m.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.96 + -1.03. Let o = -0.01 + v. What is the closest to -0.03 in -1, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 17*l**2 - 27*l + 35. Determine g(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-6) + 3 + -5. Let o be -1 - (-1 + (-6 - -3)). What is the closest to -1 in o, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6)*3 + 27\/((-243)\/90).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 357252 (base 9) to base 11\nAnswer: 137805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101061119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141 + 10?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 25*d + 14. Let p be 3 + 1 - (25 + -38 - -5). Give h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - (-1 - 1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28926916?\nAnswer: 2, 23, 314423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 43189.\nAnswer: -23\/43189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + m**2)*(64*m**2 - 636 - 131*m**2 + 65*m**2)*(0*m + 0*m - 2*m).\nAnswer: 4*m**5 + 1272*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222*-1.4.\nAnswer: 310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -7*w**5\/30 - 5*w**3\/3 + 4*w**2. Differentiate j(o) with respect to o.\nAnswer: -28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v - 494. Let i be y(-100). Solve i = 2*t - r, -t - r + 6 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84318499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 176301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22436 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -23, 3, -8\/3, 2, 0.5 in descending order.\nAnswer: 3, 2, 0.5, -0.1, -8\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + g + 3. Let v be c(0). Find the common denominator of 41\/v - (-2 + 5) and 1\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/92 and 43\/5520.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 - 49 - 16358*q - 54 + 15375*q)*(2*q**3 - 3*q + 3*q).\nAnswer: -1966*q**4 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*j - 4, 5*c + 3 + 5 = 2*j. Let v be -2 - (-6 + 5) - j. Solve v = -0*t - 5*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1272478954 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*d**2*t + 1230*d**2 - 100270*t wrt d.\nAnswer: -44*d*t + 2460*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -89319 less than -89319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 23 = -3*a - 5*h, 0 = h - 4. Suppose -a*n = -n - 4. Let v be 6\/((-2 + 0)\/n). Which is smaller: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -1, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 + 2)*(2 - 2 - u)*(-1 + 5 + 1)*(-4 + 0 + 5).\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x - 16*x + 449 + 319 - 6 to the form a + c*x and give a.\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6*v - 18 = -2*v, 4*m + 3*v + 7 = 0. Solve 0 = 2*y + m*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.4. Suppose 144*f = 77*f - 87 - 114. Sort -9, f, p.\nAnswer: -9, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqqzaz. Give prob of picking 1 a and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4224973 rounded to three dps?\nAnswer: 1.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219351, -219677, -220231, -221019, -222047?\nAnswer: -223321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 1, w: 1, d: 1, t: 2, j: 1}. What is prob of picking 2 t and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24853 + 24750 - (15 + -1)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 657\/(-72))\/(6\/16).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/15 (b) 2.6 (c) -3 (d) -4 (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*h**5 - h**3 + 23*h**2 + 19*h - 1477?\nAnswer: -4160*h**3 - 6*h + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1 - -1)\/(-1). Let y be 10\/45 + (-106)\/(-9). Let u = -7 + y. Solve 4*k + 0*f - f + 1 = x, -f + 10 = u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22706*y**3 - 7556*y**3 - 7578*y**3 - 7555*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 6*b**2 + 7*b - 27*b**2 + 7*b**3 + 85 - 2*b - 4*b. Find the second derivative of i(l) wrt l.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 3*t - 617*t**2 - 3*t + 8*t.\nAnswer: -617*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15883?\nAnswer: 7, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 2 - 10 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(605) + (sqrt(10)\/sqrt(72))**2 - (sqrt(440)\/(2*sqrt(11) + sqrt(11)) + sqrt(40))\/sqrt(8)*2.\nAnswer: 5\/36 + 58*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n - 586 + 208 - 590 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 2 d when four letters picked without replacement from rnrdnrqdnn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)\/(z\/(z**0\/z)*z*z))**14*(z**(-2\/3)\/z**(-3))**(-2\/31) assuming z is positive.\nAnswer: z**(-6524\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*v**4 + 2*v**3 - 288*v**2 wrt v?\nAnswer: 2664*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 2, s: 4, u: 2}. What is prob of sequence oscs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)\/v)\/(v**6*v))**(-14) assuming v is positive.\nAnswer: v**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238 + 1668\/7. Which is the nearest to m? (a) 1\/11 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10179 and 23954.\nAnswer: 8407854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -0.012532866787498?\nAnswer: 0.087467133212502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -32*y - 135. Suppose 3*j = -1505 + 1487. Calculate the remainder when 90 is divided by h(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -575228 + 70177147\/122. Let y = 1\/61 - c. Let g = 32449\/12 - 2708. What is the common denominator of y and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3213606142 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 6. What is the lowest common multiple of 9 and k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - 1 - (-10 + (5 - 12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462455?\nAnswer: 5, 7, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 1. Let k be i(1). Let z(l) = 3*l**2 + 2. Let v(s) = 10*s**2 + 8. Suppose -17*n - 21 = -20*n. Let m(c) = n*z(c) - 2*v(c). Calculate m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1389405*y - 684. Let m(b) = 2*b. What is m(d(z))?\nAnswer: 2778810*z - 1368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 - -3d?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.2 - -86.2. Let a = -10854 + 10804.01. Let o = a + v. What is the smallest value in 0.2, -0.4, 4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**4 + 1852624*b**3*u + 2*b**3 - b**2*u + 2454*b**2 - 16*b*u - 16 wrt b.\nAnswer: -168*b + 11115744*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) 4\/5 (c) -3 (d) 1.93 (e) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -4*p, -4*w + 4*p = -p - 25. Sort w, -0.4, -5 in ascending order.\nAnswer: -5, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 14, l: 5}. What is prob of sequence plz?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49902199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:57 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k + 3*k - k)*(0*k - 2*k + k)*(-2*k + k - k) in the form i*k**3 + o*k**2 + h*k + n and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*w**2 - 49*w**2 - 54*w**2 - 41*w**2 to s*w + b + g*w**2 and give g.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 7*v**2 + 6*v - 4. Let n(c) = -c + 1. Let p(d) = b(d) - 2*n(d). Let g be p(6). Solve -2*q + 0 = -5*z - 1, 3*z + g = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -37174*d - 8624359. Calculate h(-232).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51, -140, -285, -486, -743, -1056, -1425?\n\"Answer: -28*k**2 - 5*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 408, 930, 1670, 2634, 3828, 5258?\nAnswer: 6930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 3, 58, 1, -1, 1\/173, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*p**3*w**3 - 3*p**3*w**2 + 4*p**3*w + 65*p**3 + p**2*w + 930457*w**3 wrt p?\nAnswer: 84*w**3 - 18*w**2 + 24*w + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 10 = 14*m. Suppose -m*d + d = 3. Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from bbbbbbbcbbbmbbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let x be h(0). Suppose 2*m - 3 = m. Suppose -2*v**3 + 2*v + 0*v + x*v**3 + 3*v**m - 3*v**2 = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -3*d**2\/2 - 53. Let g(w) = 2*w**2 + 32. What is p(g(q))?\nAnswer: -6*q**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3*(-5)\/15)\/1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810161764 to the power of 1\/3, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39831\/(-44))\/71*(-2)\/(-4)*-8?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 5*o**4 - o**4 + 6*o**4 + 13*o - 11*o - 4*o**4 + (o**2 - 2*o**2 + 2*o**2)*(4*o - 4*o + 2*o**2) + 0*o**2 + o**4 + 0*o**2 - o**4 + o**4 + 8*o**4.\nAnswer: 14*o**4 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11774 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 1, t: 1, g: 1, w: 1, r: 1}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1970 - -2441. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 10*a - 5. Let x = 17 + -13. Let z be 2 + 0 - (x + -6). Let m be c(z). Solve 5*n + 7*t - 2*t - 45 = 0, 3*t + m = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let a be n(-3). Let t(r) = 2*r**2 - 2*r + r - a*r**2. Let i(u) = u**2 + 3*u. Suppose 2 = 2*k + 4. Calculate k*i(b) - 3*t(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 4)*((1 + 1 - 1)*(-g - g + 0*g) + (8*g - 139*g - 51*g)*(-4 + 2 + 0)).\nAnswer: -724*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:37 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943511163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or 125659?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 + 2*a - 7. Give v(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80\/(-140))\/((-1)\/7). Suppose -p*l + 2*g + 156 = 4*g, 4*l = -5*g + 150. What is the smallest common multiple of 48 and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*t - 528 = 7*t - 3687 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**3 - 13*u. Let r(j) = -5*j**3 - 14*j. Let b(d) = 6*f(d) - 5*r(d). What is the second derivative of b(l) wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 3074026?\nAnswer: -3074021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14304 in -0.08, 2, -1\/6, -12, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -555430a?\nAnswer: -5554309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:40 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 128*k**2\/9 + 760*k\/3 - 800.\nAnswer: 2*(k - 30)**2*(k - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (-4 + -1595 + 7)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 - 9*u - 21. Calculate a(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -2\/11 (b) 2\/3 (c) -4 (d) 1\/3 (e) -0.2604\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 smaller than 1.9309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 + t**2 - 4*t + 19. What are the prime factors of j(-9)?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 7 + 27. Suppose a*v + 20 = 3*h, -v = -3*h + 6 + 34. Let y be (2 + -1)*(8 + -2). Solve -2*x = -i - y, 0 = 3*x - h - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44685 = -0*s - 5*s. Is (-2)\/(-4) + s\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 + (-104)\/16. Let j = 8 + b. Solve 3*s = -3*a + 3, -4*a + j*a - 2*s - 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 2:32 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*-1 + -191 + 65 + 4. What is the biggest value in -3, -3\/4, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/12 + k**3\/3 + 5*k. Does 24 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r - 91. Let t be k(-19). What is the highest common factor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1075 + -1083. Let u = 0.5 + -0.9. Put 0.5, u, z in descending order.\nAnswer: 0.5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 12*u - 12. Let d(a) = a - 2. Let t(q) = 10*d(q) - s(q). Let v be t(-3). Put 0.09, v, 1\/3 in descending order.\nAnswer: 1\/3, 0.09, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120190 divided by 8585\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, i: 1, h: 3, g: 6, x: 1}. Give prob of sequence gg.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by 121365\nAnswer: 104\/24273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -40.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*q*w**2 - 2*q*w - 29858945*q + 2740604*w**2 wrt w.\nAnswer: 148*q*w - 2*q + 5481208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3287, -6649, -10013, -13379, -16747, -20117?\nAnswer: -23489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = -10. Suppose 0 = -z*q + 4*a + 26 - 6, 2*a = -8. Suppose -q = -2*g + 16. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.07 - -0.07. Let o = 7.45 + d. Let p = o + -0.45000046. What is p rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018575 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 12, d - 61 = -3*m + m - 44 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10062836 and 784?\nAnswer: 40251344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/520667 and 13\/4909146.\nAnswer: 34364022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241103 + 214001?\nAnswer: -1022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -6)\/(-4) + 15. Suppose -u + 62 = 4*t. What is the greatest common divisor of 60 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1281\/210 + -6)*928. Find n such that -36\/5*n**3 - 32 + l*n - 312\/5*n**2 = 0.\nAnswer: -10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714568.2642 rounded to the nearest ten?\nAnswer: 714570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6\/7))\/(c\/c**6)*(c*c\/(c**(2\/5)\/c))**(2\/51) assuming c is positive.\nAnswer: c**(9362\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35, 1, 45, -15, 25 in descending order.\nAnswer: 45, 25, 2, 1, -15, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195817 is divided by 3642.\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 200468198 + 0.0209.\nAnswer: 200468198.0209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + 4*o**3 + 16*o - 9*o in the form v + n*o**2 + c*o + b*o**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6779 + 31882 = 2840*o + 4581 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148 or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q**3 - 2*q + 110*q**3 + 116*q - 116*q + (3 + q**2 - 3)*(2 + 2*q - 2) + 0 + 0 + 2*q**3.\nAnswer: 112*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 610218, 1221854, 1833488, 2445120, 3056750, 3668378, 4280004?\n\"Answer: -f**2 + 611639*f - 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034049043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -326.65 minus 155152319?\nAnswer: -155152645.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123296 * 0.02.\nAnswer: -2465.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 and (-2 + 125\/12)\/(6\/4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1620.2 to the nearest 10.\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 678 + -674. Suppose 5*x = 3*g + 42715, h*x - 3111 = 3*g + 31061. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41885941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 + 15*l + 25. Let j be z(-6). Solve -k + 40 = j*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126930 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = z + 2*z. Solve -5*v - 14 = 3*l, v + 3*l - z = 7*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 + 90. Suppose -3*g = 4*c - 8, -r = -4*c + 2*g - 6*g. Suppose -7*a + f = -3*a - 394, -2*f + 486 = c*a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 6:03 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529663.\nAnswer: 19, 61, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from {n: 8, h: 4, b: 1}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*u - 40*i + 35*i, -3*i + 7570 - 7574 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 10:06 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*p**2\/4 - 315*p\/2 - 1323\/4.\nAnswer: -3*(5*p + 21)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 600 - 598. Suppose 70*w + s = 69*w. Let n(y) = -28*y + 5. Let l(k) = -7*k + 1. Determine w*n(x) + 9*l(x).\nAnswer: -7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, -43, -142, -295, -508, -787?\n\"Answer: -v**3 - 18*v**2 + 10*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -157*d**2 + 4181*d - 18. Calculate p(27).\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 396 - 52 = 0. Calculate the lowest common multiple of x and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1452838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*-2*1. Let o be i*(-3 - 15)\/(-3). Suppose -3 = -3*q + o*q. What is the closest to -1 in q, 0.3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535193481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.321 - -1.321. Let f = 93.695 + -94.69499875. Let w = t + f. Round w to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(190)*3 + -2*(sqrt(190) + -1*sqrt(190)))\/(sqrt(90)\/(sqrt(9)*4*3 + sqrt(9))))**2.\nAnswer: 28899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 140 + 120 = 0. Is ((3777\/6 - -5) + s)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 6c68?\nAnswer: -6c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 1\/6 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256940 divided by 8860.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-183207)\/(-63) - (848\/168 - 5). Calculate the highest common factor of 16 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5622185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 87482.29 kilometers?\nAnswer: 87482290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a week?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 4*m + 5 - 13, 2 = 4*v + 2*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 2*q. List the prime factors of (q + -8)*(-7)\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 22*p - 224 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 + 11*n - 4. Determine j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 14, -22, -62, -100?\n\"Answer: x**3 - 11*x**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -28, 4\/3, -2, -6.\nAnswer: -28, -6, -2, -0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 329795, 0.5, 1.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119448 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/25, -5, 60, 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334473293 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 6:14 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(12\/(-16)). Suppose 7*k - 15 = i*k. Sort 1, k, -5 in decreasing order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = 3*j - 5*f, -j + 8663 - 8464 = -4*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32759 times 3254?\nAnswer: 106597786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -21*d - 41. Let m(t) = -17*t - 44. Let z(x) = -5*h(x) + 6*m(x). Determine z(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 27. Let b(k) = 2*k - 28. Let t be (-12)\/14*210\/(-45) + -2. Give t*m(p) + 3*b(p).\nAnswer: 2*p - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 265, 583, 1029?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.92077 - 0.07923. Which is smaller: t or -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 25*c**2 - 5*c - 872. Calculate x(26).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 18*h**2 + 21*h + 3 = 0.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = n + n + 8996, -3*l - 4*n = 8992. Round l to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4, 5047.\nAnswer: 0, 4, 5, 5047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381 + -156. Let n = 223 - o. Let c = -1 - -1. Is n > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 16102.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1773*y - 119. Let k be v(-14). Let r(l) = -29*l - k + 24703. Let c(a) = 6*a**2. Calculate r(c(b)).\nAnswer: -174*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68545 + 27?\nAnswer: 68573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6641002?\nAnswer: 2, 89, 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3836*z + 3833*z - 14 = -5*k, -9*k = 2*z - 40 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16519, 31628, 46737, 61846?\n\"Answer: 15109*c + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = 2*i - 264, -4*i + 2*v + 498 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.3 - -64.7. Let n = -99 + y. Let k = -23.41 - n. Round k to two decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/26)\/(-7) + -7 + (-60)\/24.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1604 is divided by 520?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + -90. Suppose 6 = r*b + 3*k, -5*k + k = b - 8. Let s = 4 - 2. Solve -2*u - s*u + 3*d = 14, 5*u - 2*d + 14 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*t**2 - 43*t - 38*t - 52*t - 11*t**2 wrt t?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 17*w + 5. Let j(a) = -2*a**2 + 34*a + 10. Let d(l) = -4*j(l) + 9*p(l). Suppose 54 = -27*f + 36*f. What is the units digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875.023491 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 greater than 1024\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5079960)\/(-61650)*(-15)\/(-12)*-1.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaab when four letters picked without replacement from arjjlrbnaljr?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2384 + 1345 = 0. Calculate the greatest common divisor of s and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) 47.3 (c) 1\/2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-175)*(-13 - -18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*c - 95, c + 2*c + 71 = v. What is the greatest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (10 - 17) + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -4*f + f + 5*a, 0 = 5*a. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796393 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1818245 - 1818245 - 2278*w**2 to the form c*w + k + j*w**2 and give j.\nAnswer: -2278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 339751505 to the power of 1\/3, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**2*z**2 + 14*t**2*z - t*z**2 + z**2 - 113*z wrt t.\nAnswer: 8*t*z**2 + 28*t*z - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21968 divided by 33\nAnswer: -21968\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -17*m**2\/2 + 50*m - 47. What is the first derivative of x(w) wrt w?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2208589\/2 or 1104295?\nAnswer: 2208589\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3257184 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2756185 = 26*x - 15*x + 48*x. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubpxuxhxx. What is prob of sequence hp?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 53 (c) -758053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1936 and 6128254?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 1\/4*k**2 + 1\/2*k**3 + 0*k + 5 + 3\/8*k**4 + 1\/10*k**5. Factor b(z).\nAnswer: z*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 9*f**2 + 6*f - 4. Let q(c) = -c**2 + c. Suppose -209 - 69 - 92 = -370*r. What is r*n(s) - 6*q(s)?\nAnswer: 2*s**3 - 3*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7831?\nAnswer: 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:39 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 7, -4, 2 in increasing order.\nAnswer: -4, -1\/4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 5)*(-2 + 2 + 1)*(-9982*t - 7979*t**2 + 9982*t) to the form f*t + u + h*t**2 and give h.\nAnswer: 23937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12444 + -6185. Suppose -t + 3*c = -1262, -3*t - 2*t = 2*c - p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 19*t + 9 = 0. Suppose 2*j - 68 = -3*a + j, -t*a + 3*j = -60. Calculate the smallest common multiple of a and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**6\/10 - 9*w**5\/5 - 63*w**4\/4 - 11*w**3 + 144*w**2 + w - 1050. Solve c(i) = 0.\nAnswer: -3, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1616*q - 138. Let m(s) = -809*s - 59. Calculate -7*m(t) + 3*y(t).\nAnswer: 815*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -55*o - 21. Let i(z) = 138*z + 51. Give -12*b(u) - 5*i(u).\nAnswer: -30*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1210960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1040, 2082, 3124, 4166, 5208, 6250?\n\"Answer: 1042*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75119 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 37*g**2. Let y(r) = 4*r. Let x(i) = -658*i + 1325*i - 658*i. Let z(c) = -6*x(c) + 11*y(c). What is z(f(n))?\nAnswer: -370*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -3 (b) 0.06 (c) 9 (d) -22 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - 5*s - 2. Determine f(4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449253?\nAnswer: 3, 7, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2167 - -2257. Sort -6, -0.4, z in descending order.\nAnswer: z, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2158943039 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + g + 6741 - 6736 = 0, 2*f - 4*g - 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 22*q + 309. Determine r(-7).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1140?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -60, -76, -92, -108?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(5*i - 2*i + 4*i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 3*b - 6, t - 22*b = -21*b - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5060440.\nAnswer: 2, 5, 7, 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a - 47*a + 8*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = n + 7, 3*s = n - 7 - 0. What is the tens digit of n\/(-3 - (-174)\/57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 8*s - 8. Let n be h(6). Let w = n + 0. Factor -2 - w*u**2 - 2*u**2 + 4*u**2 + 4*u.\nAnswer: -2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 24 = 4*j. Suppose 3*w - j*w = -126. Let q = -22 + w. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*m**3 + 1\/3*m + 0 + 1\/3*m**4 - 1\/3*m**2 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/19001 not equal to 16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 14*l**2 - 17*l + 29. Let f be z(15). Is f less than or equal to 1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*f**2*l**3*p**3 + f**2*p**2 - 2002*l**3*p**3 + l**3*p**2 + 5255*l**2*p**2 - 76*p wrt p?\nAnswer: 288*f**2*l**3 - 12012*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 8771910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/440 - (-40)\/(-100))\/(3\/30).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4 + 40*o**3\/3 + 46*o**2 + 56*o - 70. Solve t(m) = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**2 + 8*y + 0 + 0*y**3 - 23\/12*y**4. Let c(o) = o. Give k(c(s)).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*446\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**6\/180 + z**5\/40 + z**4\/24 + z**3\/36 - 6*z. Find l, given that w(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18685 + -18681. Let h be (1 - 7)\/((-6)\/33). Let x = h - 20. What is the remainder when x is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -55. Let i = 10 + q. Suppose -7723 = -3*o - 2*o + 2*m, 8 = -i*m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*h, -h - 15 = -9*w + 11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -81855.0219 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 164 (base 9) to base 8\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-34545)\/(-94)*(-2)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/8))\/(b*b**(2\/3))*((b**(-10)\/b)\/b)\/b**1)**(-3\/11) assuming b is positive.\nAnswer: b**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 4*i + 0*i + 19 + 9*i - 19 - 3 - 2*i + 3 + (-1 + i + 1)*(3 + 2 - 3) + 4*i - 4*i + 2*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 2*a + 1. Let v = 10 + -9. Let w be d(v). Let g = -1 - -4. Solve w = -g*b - b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/11)*g)**39\/(g**4*g*g*g**(-9\/2)) assuming g is positive.\nAnswer: g**(1839\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 101. Let r be f(0). Let t = 3 - 1. Let a be 0 + (-2 - t*r). What is the highest common divisor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4254*w = -4332*w - 1092 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*x + 47, 5*r + 3*x - 99 + 39 = 0. Suppose 60*c - 63*c = -r. Solve 5*m + c + 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/6)\/m)\/(m*m\/(m\/m**(1\/13)))*m**8*m*m\/((m*(m\/(m\/(m*m\/((m*m*(m*(m\/(m\/(m*m**7*m))*m)\/m)\/m*m)\/m))))\/m)\/m))**(-1\/7) assuming m is positive.\nAnswer: m**(-1385\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 59*j - 165*j - 22 + 55*j + 81*j.\nAnswer: 30*j - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1429 divide 1562031477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 7. Let c(l) = l**3 + 24*l**2 + 3*l + 81. Let x be c(-24). Let f(n) = n + 3. What is x*f(r) + 4*t(r)?\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 5*c**6\/72 + c**5\/36 - 2*c**4\/9 + 2*c**3\/9 - 3*c**2. Determine z so that l(z) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 10:02 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(98) - (-1 + sqrt(18))) + 6*((sqrt(98) + -1)*6)**2*-6.\nAnswer: -128303 + 18148*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, -3, 1, -23, -17 in descending order.\nAnswer: 197, 1, -3, -17, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4)*a*a**8)\/((a**(1\/5)\/a)\/a*a**3))\/(((a*a**(-1\/5))\/(a*a**(2\/7)\/a))\/((a\/(a**(5\/7)\/a))\/a**1)) assuming a is positive.\nAnswer: a**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101573293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1950129 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/5 + 1196*h**2\/5 - 8568*h\/5 = 0.\nAnswer: -306, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1\/4)\/o)*o)**24*o**(2\/13)*o**1)\/((o\/((o\/(o\/o**(-3)))\/o)*o**(2\/17))\/(o**(-2\/7))**46) assuming o is positive.\nAnswer: o**(94202\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.6 + 28.3. What is the second smallest value in c, 12, -0.5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 14\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10318 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a + 8*a - 0*a + 234 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b**(-13))**13\/((b\/(b*b*b**(-1\/2)))**(-12))**(6\/7) assuming b is positive.\nAnswer: b**(-764\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 3*y - 1419 = 0, -2*y = 3*j - 438 - 271. What are the prime factors of j?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 155, 182, 229, 302?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-6 + 11 + 6 - 2*g).\nAnswer: -2*g + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 125*n**6\/33 + 70*n**5\/11 - 5*n**4\/11 - 92*n**3\/33 + 13*n**2\/11 - 2*n\/11 + 6. Solve z(i) = 0 for i.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -1373, -3085, -5481, -8561, -12325?\nAnswer: -16773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3590\/11951 + -1\/323. Find the common denominator of -59\/74 and m.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(275) - -5*2*sqrt(275))*-5)**2 - (-3 + 6*(-6*(sqrt(275) + 2 + sqrt(275)))**2).\nAnswer: -10840*sqrt(11) + 593430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/67260 and 13\/121068.\nAnswer: 605340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6459\/102910 - 2\/251. What is the common denominator of 5\/656 and f?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13520)\/(-164320)*(-4)\/(-13)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 561?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012252 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/2 (b) -0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(7)) + 4 + (1*(sqrt(847) - sqrt(847)*1) - sqrt(847))**2)*1.\nAnswer: 6*sqrt(7) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:41 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-1 + 1)) + (-2)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314*n**3 + 2*n**2 + 38*n wrt n?\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, f: 1, s: 1}. Give prob of sequence swf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -2\/9, 0, 2, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 0.4 (b) 0.8 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3219361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from zjjzrrrkjxr?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 3. Let z = -8 - -4. Let s = 1 + z. What are the prime factors of h(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 29, -4, 0, -5 in descending order.\nAnswer: 29, 0, -1, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 smaller than 1557\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 319 = 2*m, -5*h + 687 + 123 = 5*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15689747 + 19?\nAnswer: 15689766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*v + 244 = 754, 1030 = 2*g - 2*v. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(128) + sqrt(8) - (-2 + sqrt(32)))*-5)**2.\nAnswer: 2100*sqrt(2) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*1*sqrt(1377)*-6.\nAnswer: -1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 19774 = 92*p + 17876 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81391, -81288, -81129, -80914, -80643, -80316, -79933?\nAnswer: -79494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 14. Suppose 8*s - j*s = 3. Solve 5 - 20 = -s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*33\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3711236 to the power of 1\/2, to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**2 - 159*j - 113. Give n(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 30\/13, 2, -1\/3?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2689.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1254154782*r**2 + 2*r. Let c(z) = -z. Determine l(c(g)).\nAnswer: 1254154782*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/3)\/(20\/(-570)). Let y = 78 + f. Which is smaller: y or 7\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1833, -1742, -1507, -1056, -317, 782, 2313, 4348?\nAnswer: 6959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -26, 30, -3.\nAnswer: -26, -3, -2, 0, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 831 - 953. Let u = 121.5 + z. Which is the second smallest value? (a) u (b) 0 (c) -113 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -544090\/784947 + 556\/893. Find the common denominator of s and 17\/30.\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(25)\/sqrt(5) - ((sqrt(15)*2)\/sqrt(3))**2.\nAnswer: -20 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*j - 2*r, 2*j - 7*j - 2*r + 16 = 0. Let u be (-50)\/j - 6\/(-12). Let t be (15 + u)*(-4)\/(-6). Solve -2*f + 3*q = 1, -t*f = -4*f - 5*q - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.6 - 18. Let p = w + 0.4. Let l = 2 + p. Is l at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1767*w**2 + 54 - 697*w**2 - 1024*w**2 to the form n*w**2 + k + l*w and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (24 + -7 + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -48. Let d be (-2)\/((-40)\/(-12) - b). Factor -d*z + 0 + 3\/2*z**2.\nAnswer: 3*z*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621579.\nAnswer: 2621579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.01, -34, 7.205 in increasing order.\nAnswer: -34, -3\/2, -0.01, 7.205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 43, 43, 45, 49, 55, 63?\n\"Answer: p**2 - 5*p + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 150\/17 (c) -3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35210000 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3 (c) 2 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 510.1 + -102.1. Let r = v - 403. Let o(b) = 2*b - 2. Let f be o(3). Sort -2, 1, f, r.\nAnswer: -2, 1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -38, -86, -172, -308, -506?\n\"Answer: -2*s**3 - s**2 - 5*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-10)\/(s*(s\/(((s**(-32)\/s)\/s)\/s))\/s*s*s)*(s**(1\/6))**32 assuming s is positive.\nAnswer: s**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*j**2 + 18*j**2 + 11*j**2)*(2*j - 2*j - 2*j**2).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9292 and 10966538.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**0\/h))\/h**(-6))**(22\/9)\/(((h\/h**(5\/3))\/h)\/(h\/(h**4*h*h)))**40 assuming h is positive.\nAnswer: h**(-1046\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -24*f**2 + 5*f - 5. Let o(i) = -10*i**2 + 2*i - 2. Let l(k) = 2*d(k) - 5*o(k). Let v(y) = 4225*y. Calculate l(v(j)).\nAnswer: 35701250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 15. Calculate o(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:46 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1034*l - 5357. Calculate t(-5).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -7*d**2\/2 + d + 39. Determine k(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 3*p**2 - 12*p**2 + p)*(3 - 3 - 1) as o*p**2 + z*p + x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3649555.\nAnswer: 5, 7, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**2. Suppose 9*y - 60 = 3*y. Let j(t) = y - 3*t - 10. Give j(l(d)).\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -58. Suppose b - 23 = r. Let k = -21 + b. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 15) to base 9.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*x**2 - 57 + 60 + x + 303*x**2 to n*x + s + t*x**2 and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 + 7*k**2 + 14 - 7 + 61*k wrt k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = 3*g - 2*d, 0 = -2*d - 6. Let n = 1\/110 + -349\/2090. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*j - 329, -f + 167 = 3*j - 96. Suppose -3*s + j = -142. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110412*p**2 - 51073*p**2 - 59336*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - 2*r**5 + r**5 + (0 + 2*r**3 + 0)*(r - r + 2*r**2) + 0*r + 3*r - r + 2*r**5 - 7.\nAnswer: 3*r**5 + 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-22) - (2 + -15 + 14). Which is the closest to 3? (a) 4 (b) 3 (c) h (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 + 43 = -18*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/7 - 53*c**2\/7 + 690*c\/7.\nAnswer: c*(c - 30)*(c - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1030244 (base 7) to base 16\nAnswer: 1e836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/13 + (-158)\/(-8216))\/4\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4904787*r**6 + 3290222*r**2 - 3*r wrt r.\nAnswer: -588574440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let x(k) = -5*k - 4. What is x(b(o))?\nAnswer: -5*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 3, -3\/7, -1, 9\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3*j**2 - 4*j**2)*(-2*j - j + j) + 0*j**3 + j**3 + 0*j**3 + (3 - 3 - j)*(5*j**2 - 3*j**2 + j**2).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6972922 and 6210709.\nAnswer: 6210709.6972922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/(-3))*(22 + -21). Suppose -v*w + 3*i + 612 = 0, 2*i = -4*w + 3*i + 804. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -355.3 + 355. Sort -3\/7, -10, 3, f.\nAnswer: -10, -3\/7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 - 43*t**2\/2 + 440*t + 968.\nAnswer: (t - 44)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.166 and -17871?\nAnswer: 17870.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2221*f = -2360*f - 1251 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + 4*q + 6*q**3 - 2*q**2 - 2*q - 5*q**3 as u*q**3 + l*q + d*q**2 + k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/(-3))\/11)\/((-1)\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -758476\/33 - -22984. Which is the closest to 1? (a) -6\/11 (b) l (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*v**2 + 589*v**3 + 2036*v**3 + 660*v + 5507*v**2 - 85*v**4 = 0. What is v?\nAnswer: -2, -2\/17, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6 = 4*t, -3*a + t + 4 - 11 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-3)*77\/((-4774)\/1116) + -3?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**3 - 12*p**3 - 6 + 2*p + 3*p**3. Let i be q(-3). Suppose 0*f = -4*f + i. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.066 * 0.5\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323233 - -11?\nAnswer: -323222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.605 in 1\/7, -2\/21, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 47. Let g(a) = a + 16. Let o(d) = 7*g(d) + 2*l(d). Let s be o(-18). Let y be (4\/(-18))\/(4\/(-6)). Sort y, -4, s in decreasing order.\nAnswer: y, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5573290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2449, 4899, 7349, 9799, 12249?\nAnswer: 14699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.9. Let i = 195.1 - 195. Which is the biggest value? (a) 0.2 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65 - (-43 + -15)) + 13 + -10 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-15)*i*i\/i**1*(i*i**(-16))**(19\/3) assuming i is positive.\nAnswer: i**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 317339 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**4 - 11*j**3 - 61*j**2 + 11. Let q(r) = -r**4 + 2*r**3 + 12*r**2 - 2. Let y(i) = 11*q(i) + 2*t(i). What is the third derivative of y(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -102224?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 160*d**2 - 322*d + 950. Calculate u(158).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -636 + 973. Suppose -94 = -4*n + 798. Suppose d = -r + 180, -i = -3*d + r + n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4765380 to the power of 1\/2, to the nearest integer?\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 0, -5*v = 22*u - 25*u - 107. What is the remainder when 85 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/353?\nAnswer: -1\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**34\/(h*h**(-17)))\/(h**(1\/3)\/h)**(-43) assuming h is positive.\nAnswer: h**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0379183182 to 4 decimal places.\nAnswer: -0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f + 46. Let d = 43 - 31. Let r = d - 12. What is the units digit of i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, -12, -1, 11 in increasing order.\nAnswer: -15, -12, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 19*l - 11 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 k, and 1 q when four letters picked without replacement from kktkqtkkkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*-38*5\/17*17?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 923699 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2128 - 2064. What is the remainder when 540 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Solve 0*x**3 + c*x**3 - x**2 + x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**5\/60 + o**4\/24 - 3*o**3 + 6*o**2 + 4. Let f(z) be the second derivative of c(z). Calculate f(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/181500 and 9\/6250.\nAnswer: 4537500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56219 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 285 (b) 2.25 (c) -1\/8 (d) 2\/13 (e) -4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 3. Let i be g(2). Let b be i - (-3)\/1*1. Suppose -3*h = -b*l - 4*h + 50, -2*h = 4*l - 52. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39530 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848289 to the power of 1\/2, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 38 + 4*r - 10*r + 5*r. Let s be d(-10). Suppose -12 = -4*f, 5*f + 65 = -7*g + s*g. Which is smaller: -17 or g?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1\/2 (c) 2\/11 (d) -0.036 (e) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - sqrt(70)*-3) + sqrt(70))*-6)\/(sqrt(360) - -1*sqrt(360) - sqrt(360)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i + 12. Suppose i*n - 95 + 35 = -3*s, -4*s = -5*n - 35. Calculate the remainder when 43 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2. Let v(u) = -108*u + 76. Give b(v(z)).\nAnswer: -81648*z**2 + 114912*z - 40432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19128?\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 - f + 1. Suppose q + 5*h - 27 = -38, 0 = 4*q - h + 2. Let o(n) = 6*n**3 - 4*n**2 - 5*n + 10. Determine q*o(j) + 5*k(j).\nAnswer: -j**3 - j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**23\/v*v\/(v\/(v*v*v*v*v\/v**(3\/32)*v*v)) assuming v is positive.\nAnswer: v**(925\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(y**3 - 19 + 10 + 0) to the form h*y**3 + z + v*y + r*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -16\/9*l**2 + 10\/9*l**3 - 2\/9*l**4 + 8\/9*l + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7820 and 2185.\nAnswer: 148580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 15831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 57. What is the units digit of k(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*o + 15, 5*o + 10 = 2*o + w. Let y(h) = h**2 + 11*h + 2. Let z(b) = -b**2 - 12*b - 3. Let j(c) = o*z(c) - 4*y(c). Calculate j(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7968, 15956, 23944, 31932, 39920?\n\"Answer: 7988*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4 + 5 - 198 - 324 + 1 + 1 + 0 + 0 + 3 - 2 + (-1 + 1 - 2)*(-1 + 2 - 2) + 3 - 5 + 0)*(3*k - 2*k - 2*k).\nAnswer: 516*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(567)*2)**2 - ((sqrt(112)\/sqrt(4))\/sqrt(4) - (sqrt(252) + 1 + sqrt(7))).\nAnswer: 6*sqrt(7) + 20413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593073917?\nAnswer: 17, 34886701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277322 is divided by 213?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 4*b, 7*d = 4*d + 3*b. Let p(y) = -14*y - 1 + 5 + 9*y - y**d. Give p(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15478\/4)\/(335\/6030)?\nAnswer: 3, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 186.34 - 0.79\nAnswer: 185.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47181 or -47180?\nAnswer: -47180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 divided by -64.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*q + 2*z, 3*q - 2*q + 21 = -5*z. Let s be ((-2)\/3)\/((-4)\/42). Suppose 1 = w - s. Solve 0 = q*r, -3*d - w = -d + 2*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 - d + d + (-2*d**3 - 4 + 4)*(2*d**2 - 3*d + 3*d) + (d**5 + d**5 - 3*d**5)*(-5 + 3 + 4).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137\/324461 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 2bc?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/12 - 4*r**3\/3 + 4*r**2 - r. Let u be k(7). Let x = 2\/457 + -928\/3199. Put -4, u, x in decreasing order.\nAnswer: u, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74412, 74436, 74460, 74484?\n\"Answer: 24*h + 74388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10899, 62.\nAnswer: -10899, -4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85536 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30234546 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559460366 to the power of 1\/2, to the nearest integer?\nAnswer: 39490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from ooqqockqooqqoqooo?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + 15327*t + 76674. What is d(-5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*c**2*s**4 + c**2*s**3 - 3*c**2*s**2 + 4*s**2 wrt s?\nAnswer: 1728*c**2*s + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 3*j. What is the least common multiple of 70 and k(2)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - -85. Let d = o - -65.1. Let s be 69\/(-322) + ((-1)\/(-2))\/1. Sort -0.4, s, 1\/8, d.\nAnswer: -0.4, d, 1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2273 (base 8) in base 12?\nAnswer: -84b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -59. Solve -c*m = 1 - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - k + 304 = -5*k, 5*c = -4*k + 1640. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from fkfttfttwfwkwfffttft.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3158824 and 1830?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put together -113591609 and 53059.\nAnswer: -113538550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.71 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 + 4*s**4 + 0*s**4)*(0 + 2 - 3) + (-1 - 3 + 5 + 7*s**2)*(0*s**2 + 6*s**2 - 2*s**2).\nAnswer: 22*s**4 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -43, 4, -5 in ascending order.\nAnswer: -43, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1121\/8 + -139. What is the closest to -1 in o, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107.69 + -107.4. Which is the smallest value? (a) -0.1 (b) -0.01 (c) i (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135523.98 plus 0.9514767?\nAnswer: 135524.9314767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304345*n**3*w**2 - 2*n**3 - 68924*w wrt w?\nAnswer: -608690*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/3344*56*(-3)\/(-84)*-4.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/(sqrt(1089) + (1*sqrt(1089) + sqrt(1089) - sqrt(1089)) + sqrt(1089)))**2 - (((sqrt(7) - sqrt(7)*-2) + -2)**2 + (sqrt(35)*2)\/sqrt(5)))*6.\nAnswer: -145912\/363 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**19\/(u**(-1))**(6\/5) assuming u is positive.\nAnswer: u**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202342 or -202347?\nAnswer: -202342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 0*a + n - 2*n - 34, 5*n + 60 = -4*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-332)\/(-15770))\/(294\/(-10)). Is 1 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3\/5 - 3*x**2 - 144*x\/5 + 756\/5 = 0.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*c - 1 = 0, -5*c - 219 = 3*l - 249. Solve 6 + 24 = l*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 360*z - 1. Let s be f(1). Let a be 9\/54 - s\/(-6). Calculate the highest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 9. Let g be -3*(2 + (2 - f)). Suppose -5*d - g = -111. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 259966*o\/5 - 10915044\/5.\nAnswer: -2*(o + 42)*(o + 129941)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 2*a - 5\/6*a**3 + 4 - 3\/2*a**2. Let f(g) = 9*g + 6. What is 3*f(y) + 5*h(y)?\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3238 + cbcb?\nAnswer: 9993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-6)\/(-4)*(-32)\/(-12). List the prime factors of -1*(u - (74 + -3)).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3650525?\nAnswer: 5, 146021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q + 0*q + 4*q. Let r(t) = 2*t. Give r(h(d)).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(891) - (sqrt(891) + 1 + sqrt(891))) + -5 + ((2*sqrt(891) - sqrt(891))**2 + sqrt(891) - sqrt(891))*-2 + 3.\nAnswer: -1784 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 + (-1027)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n - n - 4*n)*(-2*n - 4 + 4) - n**2 - 2*n**2 + 4*n**2 + n**2 - 3*n**2 + 0*n**2)*(-4 + 2*n + 4).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 233224 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 3}. Give prob of picking 1 a and 2 k.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t - 146. Determine r(-9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -155700 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40b + 7b?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 810\/3019223 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (-3 - (-3 - -8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -9*g - 4011 + 4012, 5 = -p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 442*z - 296.\nAnswer: (z - 148)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 39032?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = -61*y - 5588*x + 5589*x, 4*y - 21 = -3*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -4*u + 5*w, 4798 = 2*u - 4*w + 4832 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - p = -201, 2*p + 73 = -4*r - 99. Suppose f = 3*q - 41, 2*q = -5*f + 11 + 22. Let b = q - r. Calculate the highest common divisor of 22 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y**2 + 5*y - 1. Suppose 65*b = 33*b + 32. Determine s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 - 1 = 0, o + 4*v - 2 = 0. What is the highest common factor of 85 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 16, -3*c - 20 = -4*h - 16. Solve -h = -4*s + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/39, -0.4?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 19*v = -3610. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157631802 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44aa7 (base 14) in base 2?\nAnswer: -101000101101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d*d\/(d*d**(-1\/8)))\/d*d*d*d)\/d)\/((d\/d**(-10))\/d))\/((d\/d**(-2))\/(d**(-21)*d)))**(-4) assuming d is positive.\nAnswer: d**(239\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 24, -2, 13, 4 in increasing order.\nAnswer: -13, -2, 4, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 312, 910, 2072, 3984, 6832?\nAnswer: 10802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-60))\/(-1*(-6)\/8)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 368\/5*h**2 - 1118\/5*h + 748\/5 + 2\/5*h**3.\nAnswer: 2*(h - 2)*(h - 1)*(h + 187)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 + (-16 - -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2359, -4667, -6961, -9235, -11483, -13699, -15877?\n\"Answer: y**3 + y**2 - 2318*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60304?\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 7. Suppose w = 3*t + 7, 0*w = 3*w - 5*t - 17. Let a be y(w). What is the derivative of 11*j + a*j - 26 - 8*j + 3*j wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 2*v + 77, -515*v - 19 = -511*v - 3 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.86 + 0.06. Let l = i + 1.8. Let a = 9.9875 + l. Round a to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/3))**(-2\/27)*(v**(-1)\/v)\/v**6)**(-50))**(-32\/7) assuming v is positive.\nAnswer: v**(-1043200\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 6:59 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 535\/149 in 8, 2\/9, -5.5, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -1566, -5174, -12156, -23628, -40706, -64506?\nAnswer: -96144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**12*t)\/(t\/(t*t\/((t\/(t**(-1\/39)\/t))\/t)*t))*t**(6\/19)*t**(-12) assuming t is positive.\nAnswer: t**(-15346\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-4 + sqrt(1216))*5 - sqrt(1216) - sqrt(1216))**2 + sqrt(1216)*-3 + 1 + 0 + -4).\nAnswer: -22682 + 1968*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:21 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6519 (base 10) in base 11?\nAnswer: 4997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*w - 736, 5*w - 224*y - 1835 = -229*y. What is the remainder when w is divided by 351?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**21\/a)\/a**(-5\/11)*a**(-2\/15)*a**(-8) assuming a is positive.\nAnswer: a**(2033\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0 - sqrt(77)\/(sqrt(99) - sqrt(11))) + 1)**2 + -5*(sqrt(343)*-3)**2 + -2*(1 + sqrt(343)).\nAnswer: -59721\/4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71644 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 655209.214 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3\/3 - 4*w**2 - 13*w + 7. Let l be z(-2). Suppose 490 = -l*j + 18*j. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 710 + 82. Find the third derivative of -6*c**3 + h*c**2 + 176*c**3 - 107 - 97*c**2 wrt c.\nAnswer: 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 352*h**2 + 3*h**4 + 61*h**2 + 3*h + 404*h**2 + 0*h - 159*h**2 + 252 wrt h?\nAnswer: 36*h**2 + 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*y + 19*y = 4*y + 1786. Let b(j) be the second derivative of 0 + y*j - 3\/2*j**2 + 1\/6*j**3. Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10144 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15314839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 5*k - 1)*(-28 + 16 + 0 - 48).\nAnswer: 300*k + 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 133\/37578 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 11 = 6*i + 3*r - 4*r, -3*r + 82 = 19*i + 2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*x + 5112*x + 1825*x - 621*x.\nAnswer: 5580*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15288.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u + 2. Let r be 8\/(-3 + -1) - -3. Let t(z) = -z**2 + 1. Suppose -8*s = -4*s - 3*q + 23, 4*s + 5*q = 17. Give r*b(i) + s*t(i).\nAnswer: 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:09 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.846 - -0.154. Suppose -4*f + 8 = -12, -3*f + 43 = -4*x. Put x, o, -3, 2\/7 in decreasing order.\nAnswer: o, 2\/7, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 3\/11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4790 divide 496713420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3760*v + 3779*v + 266 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1635, -1641, -1649, -1659, -1671, -1685?\nAnswer: -1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917565.\nAnswer: 5, 7, 31, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 62426?\nAnswer: -62426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 4*q - 4*q + (0*q**2 + 4*q**2 - 5*q**2)*(0 - 2 + 0))*(3*q + 0*q - 4*q) + (2*q - 5*q + 5*q)*(4*q**2 + 0*q**2 - 3*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19816507456867 minus -0.1?\nAnswer: 19816507456867.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.42. Let c = m - -0.12. Sort c, -3\/4, -3 in ascending order.\nAnswer: -3, -3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 14 = 3*w, -2911*l + 2903*l + w = 34 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253568 and 45280.\nAnswer: 1267840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 - 141. Suppose 0 = y*f - 166 + 68. Let z = 29 + f. Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) -315 (c) 0.0477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16487 - 16487. Is r equal to 7565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let x(s) = 710*s - 1. Calculate x(y(f)).\nAnswer: 710*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 4*k + k - 378.\nAnswer: -2*k - 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 - c**2 - 4*c. Let b be u(0). Let v = b - -6. Solve -v*k = -4*n + 2 + 14, -9 = k + 4*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20030434 rounded to 4 dps?\nAnswer: 0.2003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2*1)\/(((-2)\/(-150))\/(633\/6330))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/13 + 6*b**4\/13 + 14*b**3\/13 - 22*b**2\/13 - 12*b\/13 + 16\/13 = 0 for b.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -85, -1.\nAnswer: -85, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p + 47. Let f be (81\/p)\/((-6)\/(-20)). What is the second derivative of -10*w**f + 0*w + 2*w**5 - 13*w wrt w?\nAnswer: -160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 104*s - 8012. Determine m(77).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524816137 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 360.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {z: 1, y: 1, x: 1, p: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 2 (c) -14.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19332 - -19345. Solve 14*j + p*j = 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 535 - 544053?\nAnswer: -543417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98218842 by 16369807.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -64226 bigger than -51895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5397480 divided by -359832.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 - 18*r + 19. Let n be q(6). Suppose 0 = n*i - 82*i - 1377. What is the remainder when i is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 7143?\nAnswer: 7142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 286*q**2 - 39*q - 39. Let z(n) be the third derivative of n**5\/4 - n**4\/12 - n**3\/3 - 3*n**2 - 41. Give 2*y(i) - 39*z(i).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - ((-8 + -7 - -20) + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1012 at least 61203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/4 - 3*o**3 + 39*o**2\/2 + 40*o - 153. Is b(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -b + 10, 3*b - 8 = 3*t - 5*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8*m - 6*m = -49, -3*v = -m + 36. Is (-850452)\/(-42) + v\/(-77) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 166312 (b) 3\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -582 + 752.5. What is o rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -84. Let x = 9 - k. Let u = x - -34. Which is smaller: 0.3 or u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/32 + 47\/96. Let d = -3 - -4. Put q, 0.4, d in decreasing order.\nAnswer: d, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/186 and -115\/48787398.\nAnswer: 1512409338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06466498 times -0.5?\nAnswer: -0.03233249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5357*v**3 - 3*v**2 - 2836.\nAnswer: 16071*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d = -13*d - 10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*o - 5, 43 = k + 5*o + 38 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 81578?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103 + 39*l + 73*l + 9 wrt l.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28671\/741 - (-140)\/455.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y + 2)*(216*y + 4*y**4 - 221*y + 4*y**4).\nAnswer: -8*y**5 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545087212 to the nearest integer?\nAnswer: 39308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - -159. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (569*u**4 + 1215*u**4 - 467*u**4)*(-u + 3*u - u).\nAnswer: 1317*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.565925 days to microseconds.\nAnswer: 48895920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.75 + -3.55. Which is the fourth biggest value? (a) -0.5 (b) 2\/5 (c) x (d) 0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/6 - 4*c**3\/3 - 41*c**2\/6 + 38*c - 30 = 0.\nAnswer: -6, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 4, w: 6, m: 4, y: 1}. Give prob of picking 2 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13341410 (base 5) to base 9.\nAnswer: -228058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 15 + 13 + 2260*q**3.\nAnswer: 2260*q**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34518 + 1772 = 5*p - 5*y, 8 = 4*y. Let k be 2 + p\/(-1036) + 5. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9687 is divided by 234?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-2)\/sqrt(9))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -347, -519, -691?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -1509, -3392, -5997, -9306?\nAnswer: -13301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2847 - -10673. Is s a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1924, 4105, 6286, 8467?\nAnswer: 10648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 34. Let y = -2.93 + -0.07. Which is the nearest to 0.1? (a) -3\/5 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 - 27288738 + 54577491 - 27288757.\nAnswer: -20*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 11. Suppose -4*p = 15 - 3. Let q be ((-3)\/p - 5)*2. What are the prime factors of r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 518\/(-35) + 1\/(-5). What are the prime factors of -1 - -2 - (7 + o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -187, -0.3, 0.1 in descending order.\nAnswer: 6, 4, 0.1, -0.3, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/12)\/(15\/2 - 5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Suppose 2*y = 5*y + 3, k*y = 4*h - 13. What is the first derivative of 14*u**2 + 19 - 3*u**2 - 8 - 5*u**h wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/2)\/(1\/2). Suppose 51 = 4*i + 3*t, n*i - 5*t = -t + 56. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**7\/21 - u**5\/10 - 6*u**2. Find the third derivative of l(o) wrt o.\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 1. Suppose 0 = 142*x - 151 - 322 + 47. Let l(j) = 6*j - 5. What is x*p(f) + l(f)?\nAnswer: 3*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 2. Let k(v) = -7*v + 5. Let j(r) = r**2 - 6*r. Let u be j(5). Let z(f) = u*y(f) - 2*k(f). Let b(g) = -4*g. Give -2*b(w) + 6*z(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -56589.\nAnswer: -1018602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(468) - sqrt(468) - sqrt(468)) + sqrt(468)*2 + sqrt(13)).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3903 (b) -3\/4 (c) -763\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1568171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6 + 5*h + 21*h**2 + 1 + h. Is q(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53668315\/13 >= -4128333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -3*q**5 - 7*q + 3. What is the first derivative of b(a) wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151563 is divided by 75238?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 19*y - 30. Let w = -106 + 123. Let b be m(w). Solve 0 = 8*r - 6*r - b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/128*3024\/135)\/((-2)\/(-10))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144897587 by -136567.\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose 1 = 2*g - t. Suppose -5 = -3*i + 2*i. Solve -i*b + g - 22 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*m + 26 + 51 = 0, 5*l - 115 = 5*m. Suppose 11*p - l*p = -2000. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034863*t**2 - 4 + 516548*t**2 + 518308*t**2.\nAnswer: -7*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 - 65*u**2\/3 - 2449*u\/2 + 9576.\nAnswer: (u - 171)*(u - 7)*(u + 48)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.63 + 0.37. Let m = 42.76 - f. Round m to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*f**3 - 30*f**3 - 32*f**3 + 16*f**3.\nAnswer: -137*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 210440 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 (base 9) in base 13?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9581 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/5))\/g**(-1)*g**(-3\/5)*g\/g**3 assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 1 + 1 + (3*n + 67*n - 22*n)*(2*n**2 - n**2 + 0*n**2).\nAnswer: 49*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j**2 + 6*j + 6. Let a(w) = 60*w**2 - 35*w - 35. Calculate 6*a(f) + 35*c(f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2113, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22763054 (base 9) to base 6\nAnswer: -1033321421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 147610969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-2)\/sqrt(2) - -1*sqrt(25)*4)\/(2*sqrt(605)*1).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 145*w**2 - 4*w - 1. Let d be o(1). What is the greatest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9498*s - 9564*s - 9543*s - 9495*s + 38186*s. Let x(v) = 0*v - 4*v**2 + 0*v. Calculate i(x(f)).\nAnswer: -344*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 292625 divided by 631\nAnswer: 292625\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30270791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and -11\/222314.\nAnswer: 1333884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/10 + a**3\/6 - 3*a**2\/2 - 77*a + 1. Let s(h) = h**3 - h + 1. Give -k(q) - 4*s(q).\nAnswer: -2*q**3 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 228008779 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 4:50 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -11996, 1, 107 in ascending order.\nAnswer: -11996, 1, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrv when three letters picked without replacement from {v: 12, r: 6}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3459612129 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - 1) + (-23 - 2) + 70 + -129 + 80?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*t + 24*t + 77. Suppose -3*i = 2*g - 11, -4*i - 20*g + t = -21*g. Sort i, -4, 12, 4.\nAnswer: -4, i, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47135601 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994616606 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 9. Let f be p(0). Let x = -5 + f. Suppose -5 = -x*d - 1. Is 1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -2*b. Suppose -9*k - 22 = -67. Suppose -z + k = 0, -1 = -g - 3*z + 12. Sort 5, b, g.\nAnswer: g, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - 8. Let p be y(-6). Suppose 25 = -3*f + p*r, -5*f = -0*r - r + 19. Let s(t) = -t**3 - 3*t**2 + t + 1. Determine s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 7) in base 10?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 5*g**4\/8 - g**3\/6 + g**2. Let t be p(-1). Let o be (-1 + 1)*8\/t. Solve -5 = 5*h, -8 = -o*j - 3*j + 5*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + w - 87 = 0, -3*o - 5*w + 61 = -0*o. Suppose -5*c - o = -32. Suppose -k = -2*k - 6. Put c, -5, -2, k in decreasing order.\nAnswer: c, -2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**8\/10080 + p**5\/20 - 6*p**2. Let s(n) be the third derivative of v(n). Let a(m) = 0 + 0 - 4*m**2. Give a(s(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 106*c. Let g(z) = -113*z - 422. Calculate g(d(b)).\nAnswer: -11978*b - 422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380471761 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 6. Let y be p(4). Let b be 12\/24*40\/y. Suppose -3*a + 11 = 2*m, 0 = -4*m - 4*a + 2*a + b. Sort m, -5, -4 in descending order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - f - 320 = 0, -137 = -3*p + f + 55. Let t = 138 - p. Let w = t + -48. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axj when three letters picked without replacement from {x: 1, r: 1, j: 4, a: 1, h: 3, s: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 8*l - 444 + 172 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -18 + 9, -13*i - 40 = 4*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 4) in base 7?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.2, 0, 72.949?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 186 - 52 - 8*d**4 + 11*d**4 - d as s + o*d + z*d**4 + i*d**3 + c*d**2 and give s.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29275 or -30122?\nAnswer: -29275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 18 = 3*t, -a - 10 = -2*t - 2*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2280881 (base 10) to base 9.\nAnswer: -4255702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 + 9*f**2 + 3*f - 13. Let i(g) = -g**3 - 2*g**2 - g + 3. Calculate -9*i(v) - 2*l(v).\nAnswer: v**3 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -29. What is the nearest to 0.1 in 0.3, u, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4 - 21492*u**3 - 51322896*u**2 - 40853025216*u = 0. What is u?\nAnswer: -2388, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-1)\/(-42)*-4*79\/(-1106)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7007580 divided by 2732.\nAnswer: -2565","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 + 37 + (-79)\/(-7))\/(105\/(-5))?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1917, 7618, 17167, 30570, 47833, 68962?\nAnswer: 93963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = 4. Suppose o = 2*u - 14. Suppose -2*w - w = -3. Solve -2*r + w - u = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2416 * -0.2877\nAnswer: 695.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 41995542.3 rounded to the nearest ten thousand?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 2}. What is prob of sequence kp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from cqbjt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 - 865*z**4 + 9925*z**3 - 35655*z**2 + 41400*z = 0. Calculate z.\nAnswer: -184, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 3, m: 2, u: 1, z: 3, v: 4, j: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 11:21 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 123 = 57. Let l(p) = -2*p**2 - p + 1. Let n be l(2). Is (-74)\/n - (-10)\/r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05730279 - -326.\nAnswer: 325.94269721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven halves of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y + 54*y + 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15102 is divided by 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 20*m**2 - 22*m + 36. Is i(-18) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - -2) - (115 - 115) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2945161 and -44177396\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-95)\/10)*(-2)\/5. Let q = -27\/10 + b. What is the third smallest value in 1\/3, -7, 2\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456373038.\nAnswer: 2, 3, 11, 23, 151, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/5 - 7155*s**3 - 64346643*s**2\/5 - 36319121901*s\/5 - 6737241870684\/5 = 0. What is s?\nAnswer: -549, 13572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 12*j**2 + 38*j + 9. Let v be t(-15). Let z = 127 - v. Solve -10*d = -z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuluuuuuuuuuuuuul. What is prob of sequence lul?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 5 (c) -37 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z = -2*t - 12835, -4*z = 2*t + 17110. Let j = -80 - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imi when three letters picked without replacement from {m: 1, h: 1, i: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 + 13*c**2 - 13*c + 4. Let q(g) = 10*g**3 - 40*g**2 + 40*g - 12. Let v(i) = -2*q(i) - 7*t(i). Let h be v(10). Solve h*o - 30 = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293.2 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2274 + 4?\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 + 0.9. Let s = i + 1.79995. Round s to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 335 + -322. Let c(r) = 2*r**3 - 26*r**2 + 14*r - 8. Let h be c(m). What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1283.18 weeks?\nAnswer: 776067264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*d**(-13)\/d))*d*d))**(-16)*((d*d**(3\/25)*d)\/d*d)\/d*d\/(d**3\/d) assuming d is positive.\nAnswer: d**(-4797\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6786284*h**4 + 601968*h.\nAnswer: 81435408*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Find the common denominator of 19\/8 and (-121)\/(-10) - u\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 5*q**2 - 7*q - 14. Let t be h(-6). Let w(f) = -6*f - 4. Let s be w(t). Let b be (-2)\/(-3) + s\/(-3). What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 - 8*a - 47. What is y(6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39, 5\/3, -40\/11?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -54.0066. What is i rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-828)\/(-23)*3\/(-16). Let y = g + 57\/8. Let i = -10 + 12. Which is the second smallest value? (a) y (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + sqrt(4114)*1 + sqrt(34))\/(3*sqrt(8)\/sqrt(4)).\nAnswer: 13*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q - 4 - 369*q + 98*q + 2.\nAnswer: -247*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*n + 49*n - 29*n)*(n - 4*n - 2*n).\nAnswer: -355*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -1 + 0 - 3. Solve -8 = -3*n - h*b - b, -4*b = 2*n - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ookfjjyjookjok. What is prob of picking 1 k and 3 o?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -2, 0, -5\/3 in ascending order.\nAnswer: -2, -5\/3, 0, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-9\/5))\/((q**(-9)\/q)\/q) assuming q is positive.\nAnswer: q**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -998870370 - 0.3\nAnswer: -998870370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -448 + 450. Let q be (20\/30)\/(g - 8\/6). Solve -6*t + q = 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5 - (-1 - -3)) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(sqrt(176) + -6*(1 + sqrt(176) + sqrt(176))) - -3*(-4*sqrt(176)*4)**2).\nAnswer: 132*sqrt(11) + 135182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 5*k + 2*a, 5*k = -3*a + 194 + 3. What is the remainder when 11726 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m. Let q(o) = -31*o. Determine j(q(h)).\nAnswer: 186*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -551 - -547. Which is the fourth smallest value? (a) -61 (b) 3 (c) 3\/8 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8.01. Let b = -315.01 + 313. Let n = h + b. Sort -1\/6, -5, n.\nAnswer: -5, n, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55208 + 116825. List the prime factors of m.\nAnswer: 3, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*q**3 + 83*q**3 - 260*q**3 + 88*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267884.\nAnswer: 2, 3, 41, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*z**3 - 57 - 5*z + 0*z + 101 - 47 - z as s*z**2 + r + j*z + y*z**3 and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 11. Let l be f(-5). Solve -l = 4*a - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (-88 + 85)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a**2 + 65*a**2 + 227*a**2.\nAnswer: 334*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/(x\/x**19))\/x)*x))\/(x*x**(12\/11)))**(-24) assuming x is positive.\nAnswer: x**(-3936\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 13) to base 7.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i. Let w be h(1). Let p(j) = -11*j - 9. Is p(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c - 1943 = -381 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 p when three letters picked without replacement from {i: 1, a: 2, g: 4, p: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1662981, -1662990, -1662999, -1663008?\nAnswer: -1663017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 10 - 7)*(0*l**3 - 55*l**3 + 5*l**3).\nAnswer: 1000*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4*2\/(-944)). Suppose -5*z + 3*h = -m, z - 4*z = 3*h - 66. Let u be -4 + -3 - -3 - -27. Calculate the greatest common factor of z and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (-1 + -3) - (3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = -18. Suppose 4*z + 10 = q*z. Suppose 2*r + 280 = z*x + r, 0 = -x + r + 60. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/110 + (-169554)\/(-4235)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 28*k + 4. Let g be 0 - (0 + (-4)\/(-1)). Let w(a) = 27*a + 3. Let s(u) = g*w(u) + 3*r(u). Let c(t) = t + 4 - 4. What is c(s(z))?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231221113 (base 4) to base 10.\nAnswer: 186967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -540.1 - -540. Put 1\/5, -2\/13, i, 7 in decreasing order.\nAnswer: 7, 1\/5, i, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.712 + -17.318. Let a = -4.3 + -13.7. Let n = v - a. What is n rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/132)\/((-39)\/3861))\/((-3)\/2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5507 is divided by 290?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102847 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/432 and -115\/2088?\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*s - 333, 0*s = -4*s. Let z = h - 60. Let i = z - 35. Calculate the remainder when i is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 33.72. Let z = 0.42 + w. Let c = 1.7 - z. Is c > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 + 1. Suppose 5*y + 30 = -5*z, -3*z + y - 26 = 6*y. Let s = 16.99 + -12.99. What is the closest to a in -1, z, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 0, 0 = 4*l - f + 1 - 20. Suppose 0 = l*t - 19 - 37. Solve t = -0*w - 2*w - g, g - 11 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*i + 10 = 0, 4*y - 3*i - 22 = 3*y. Let t be ((-5)\/(-10))\/(1\/y). Solve -2*z = -5*z + 12, -t*z + 25 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2453?\nAnswer: 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:09 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:52 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 + 0.26. What is the nearest to p in -2\/11, -0.06, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -155.1 (b) 1\/40 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/216*(-8)\/6*(-116)\/(-145).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2 (c) -2\/3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -8\/65 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {k: 3, x: 6, h: 2, e: 2, j: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 3730?\nAnswer: -3734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p - 2. Let a be (1*6)\/((-14)\/(-21)). Is 14 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 318131472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2519410856118 and 18.\nAnswer: 2519410856136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244280495671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**7\/189 + 2*x**6\/135 - 2*x**5\/45 - x**4\/27 + x**3\/9 + 14*x + 1. Determine s so that o(s) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 2*l, 2*t = 5*t - 5*l - 13. Suppose 4*o - 18 = -t. Suppose -426 = -o*z - 72. List the prime factors of z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -2) + 1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (216\/9)\/(5\/((-70)\/(-28)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q + 0*q + 5*q in the form t*q + c and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 997 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + 6*k + 6. Let j(b) = -5*b + 4*b**2 + 5 + 2*b - 3*b + 10*b + b. Calculate -6*j(a) + 5*r(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-68)\/(-10) + (-3)\/(-15). Let p = a + -4. Suppose -60 = -2*c - p*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -20. Let h = t + 8. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.02 + 0.99. Let w = 0.03 + y. Which is greater: w or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 1\/120*v**6 + 1\/10*v**5 - 1\/6*v**3 + 0 + 2*v**2 + 0*v - 3\/8*v**4. List the prime factors of d(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by -4.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Determine p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 4*c)*(-12*c - 2 + 1 + 25*c).\nAnswer: -39*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*m - 62*m + 110330. What is the common denominator of ((m\/150)\/17)\/(4\/6) and 27\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177 + -102. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.0222 - 0.0222. Which is the third smallest value? (a) -5 (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 24, 59, 108, 171, 248, 339?\n\"Answer: 7*x**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8313656 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u + 42 + 49 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 2. Let j be w(-5). Suppose 0 = 5*a + 10, -4*h + 3 = 3*a - j. What is the first derivative of 6*o - o + h + 2*o - 3*o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1042169058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39129?\nAnswer: 3, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**6\/180 + d**5\/20 - d**4\/6 + 2*d**3\/3 - 52*d + 39. Let o(z) be the third derivative of g(z). Let o(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31973.1 + 30631. What is x rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88? (a) -0.01 (b) -0.04 (c) 292\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = k. Suppose x + 3*v + 2 + 19 = 0, -114 = 4*x - 3*v. Let g = -19 - x. Solve -g*a + 3*a + 2*i = -11, 0 = -2*a - k*i + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7, -419, -326?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8\/87, -7\/2930, -3, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 4, 3.86, -12, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 1, 3\/371, 4?\nAnswer: 3\/371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlmg when four letters picked without replacement from gdlummtlu?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 8*k - 9*k - 22*k**3.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3, 29, -16 in ascending order.\nAnswer: -16, -3, 4\/7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/18 and -119\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 - 6*u**2 - 33*u - 14. Let f(d) = 2*d**3 + 2*d**2 + 11*d + 5. What is -11*f(n) - 4*q(n)?\nAnswer: -2*n**3 + 2*n**2 + 11*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 164638262351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -13*d - 19*d - 2*d + n, -4*d = -2*n - 2*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t = -8, 4*i + 4*t + 12 = 0. Suppose 78*p - 67*p - 44 = 0. Let n(h) = 2*h**2 - 2*h - 12. Let v(s) = s**2 - s - 6. Give i*v(k) + p*n(k).\nAnswer: k**2 - k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*x + 3 = 278*x. Suppose l = 2*z - 3*l - 1066, 0 = 5*z + x*l - 2665. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6294 and 14?\nAnswer: 44058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 6*q - 4. Let j be b(7). Suppose -g + 3*g = 30. Factor -32 + g + 2*n + 16 + 7*n**2 + 6*n**3 - 2*n**j.\nAnswer: (n + 1)**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6691, 6546, 6399, 6250, 6099?\n\"Answer: -a**2 - 142*a + 6834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 508*x + 258064 + 1\/4*x**2.\nAnswer: (x + 1016)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 - 2357526\nAnswer: -2357525.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1824 + -1807 + (-1 + 0 + 1 - 1) + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(32))**2 - (sqrt(352)\/(sqrt(55)\/sqrt(5)))**2.\nAnswer: -230 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4736 - -4743. Calculate the least common multiple of 1518 and v.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and -5147360.\nAnswer: -5147379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*t - u, 3*t - 38 = 51*u - 47*u for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 8*s**2 - 3*s - 3. Let n be x(-8). Suppose -3 = -l + 3*u + 23, -2*l = u - 24. What is the highest common factor of l and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3266 + 2*z - z + 17743.\nAnswer: 2*z + 14477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74258 is divided by 491.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14197329 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 81.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*x = -8, -3*c + 5*x = -9 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 49*z - 50*z - 2*r, 0 = 5*z - 4*r + 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696207.\nAnswer: 3, 239, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 24 = 3*x - 5*x - 3*w, -5*x - 192*w = -174*w + 105 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 427, 438, 453, 472?\n\"Answer: 2*f**2 + 5*f + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 3*z**2 + 0*z**2 - 1951 + 1951.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 229303830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14*m + 26. Let n be t(-7). Let r = 3 - n. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 64\/7 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -3 in descending order.\nAnswer: 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 303775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28398810 divided by 430285?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 10*x + 137. Let p be c(6). Sort p, 1, 14 in ascending order.\nAnswer: 1, p, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 12081548?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -258, -584, -1040, -1626, -2342?\nAnswer: -3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + (13 - (-17 - -24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 858165 and 2142.\nAnswer: 87532830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/2)\/27*1\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 920 - 578. Let c = j + -343. Is c greater than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 84. Let g(i) = -i - 2. Let t be g(-5). Solve -t*w = w + h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2204*j**3 + 1199*j**3 + 1110*j**3 + 0*j**2 + 0*j**2.\nAnswer: 105*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 4) to base 15.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2, -f = 2*b + 2*b - 15. Suppose 4802 + 239 = 4*y - 5*w, 5033 = b*y + 3*w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 1. Let l(w) = 2*w**2 + 5*w + 312. Let m(y) = 5*h(y) + l(y). Is m(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -653431, -1320035, -1986625, -2653195, -3319739?\n\"Answer: x**3 + x**2 - 666614*x + 13181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (-2*(sqrt(5) + sqrt(45)) - sqrt(5)))**2*6*-1.\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -0.2 (b) -5\/3 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7294 and 2128.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 45 = -151. Solve x = 2*u + 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(2736)*1) - (2*(sqrt(2736) + -1) + 3).\nAnswer: -60*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17318, 19135, 22164, 26405, 31858?\nAnswer: 38523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1095 - -1099. Solve -5*q + 10 = -4*d, -x*d - 9 = -4*q + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*k - k. What is the remainder when 13 is divided by ((-2 + 34)\/k)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m + 422 - 2292. Let p = m + -154. Calculate the greatest common divisor of p and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 - 279*z + 1706. What is h(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -5, 8 in increasing order.\nAnswer: -5, -1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*z - 3)*(-2 + 1 - 1)*(-6*z + 7*z - 5*z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 h when three letters picked without replacement from {h: 8, c: 1, u: 6}.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -76\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9478251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 3249*l**2 + 6505*l - 9753.\nAnswer: -(l - 3251)*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 3, n: 1, u: 2, a: 9}. Give prob of picking 1 n and 3 s.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**9\/15120 + j**8\/2240 - j**7\/1260 + j**4\/8 - j**2. Let m(r) be the second derivative of d(r). Factor m(x).\nAnswer: -x**2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 53. Let m = q - -2. Suppose m*a = -3*i + 405, -a - 3*a + 539 = 3*i. List the prime factors of a.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.111 - -0.99. Let y = 3.9 + -3.978. Let x = i - y. What is x rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 31. Give n(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 122*q**2 + 234*q - 7. What is the tens digit of k(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -7*m**4\/4 + 81*m**2. Let n(h) = 7*h. What is g(n(u))?\nAnswer: -294*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p - 5*p + (6 - 4 - 3)*(4*p - 5*p + 2*p) + (11 + 3 + 2)*(2*p + 1 - 1)*(-14 - 143 - 145 - 7).\nAnswer: -9893*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 5. Let p be l(-5). Let i = 24 - p. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**5 + 0 + 0*v - 1\/108*v**4 + 2*v**2 + 1\/540*v**6 + 0*v**3. Solve d(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004934.\nAnswer: 2, 3, 7, 71, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {j: 5, v: 1, k: 1, s: 6, d: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -10 - 12) + -185720. What is h rounded to the nearest 1000?\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 233, 232, 233?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/494 and 29\/221?\nAnswer: 8398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 389*m**2 - 7365*m + 5563. Determine v(-369).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 14*i + 0*i**2 + 13*i + 35 + i**2 - 2*i**3 to the form m*i + h + d*i**3 + w*i**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.74 - -69.35. Round c to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 0. Suppose -3*d = -94 + 25. Let h = -277\/12 + d. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*z - 5 + z**4 + 16*z + 4)*(z - 23*z - 8*z).\nAnswer: -30*z**5 - 180*z**2 + 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h - 4. Let k(u) = -6507*u - 809. Let j(y) = -k(y) - 2*m(y). Differentiate j(b) with respect to b.\nAnswer: 6481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxbvrrx. What is prob of sequence rbv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -630*b + 299?\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m*q**4 + 25*m*q**3 - 4*m*q**2 - 10*q**4 + 157*q**2 wrt q.\nAnswer: 24*m*q + 150*m - 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/7 - 1814*y\/7 - 88920\/7 = 0.\nAnswer: -855, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**6\/30 + 3*g**5\/50 - g**4\/60 + 345*g**2. Find h, given that l(h) = 0.\nAnswer: -1, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12e9d13 - -4?\nAnswer: 12e9d17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + sqrt(252)\/sqrt(4) + 4 + (2*sqrt(315) + sqrt(315) - sqrt(315))\/sqrt(5).\nAnswer: 4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 + 4 = 2*b, -5*b + 20 = j. Suppose -4*w + d + 1 = 4, j = 5*w - 3*d + 9. Suppose 0 = 2*s - 4*s, -f - s = w. Solve f*i = i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 2)*(-56*u**3 + 27*u**3 + 19*u**3) to the form t + j*u**2 + y*u + x*u**3 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 4*o - 7. Let q be y(5). Let s = 6 + q. Suppose -s*b - 2*u + 12 + 8 = 0, u = -2. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 3*p - 90. Suppose -2*v - 2*v + 2*s = -526, -4*s - 248 = -2*v. Let y = v - p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35, 59, 99, 155?\n\"Answer: 8*m**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (19527\/9)\/(-17*(-4)\/(-12)). Let c = l - -383. Factor c*n**2 + 6\/17*n + 0.\nAnswer: 2*n*(n + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*j = -10, u - 5*j + 5 = 25. Let y = -4 + u. Suppose y = 4*o - 7. Calculate the least common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 7*x - 6. Let w be y(2). What is the lowest common multiple of 30 and (0 - -1) + 15\/(12\/w)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10201 + 12335. Is z a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*a**4*i + 5*a**2*s**2 + a*i**2 + 5*i**2*s**2 - 2*i**2*s + 6*i**2 wrt a?\nAnswer: -180*a**3*i + 10*a*s**2 + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/8)\/((-63)\/336)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 2*z**5\/5 + 15*z**4\/4 + 61*z. What is the third derivative of v(g) wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224297 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*v**2 + 142*v**2 + 139*v**2 - 225*v**2.\nAnswer: 165*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -380*z + 2660. Let b be s(7). Solve b = -5*i + 969 - 934 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000105008 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(1 - 9\/5). Let a be f\/5*(-10)\/4. Suppose a*o + 0 = 12. Solve 8 = -5*m + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47000140 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 5001096?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/10 - 43\/(-1). Let c = 60 - m. Suppose 0 = -p + 69 + 64. What is the greatest common factor of p and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 - 2*b - 5. Let p be x(3). What is the units digit of (-3*(-1)\/6)\/(p\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(7 - 24\/6) + 3930\/(-438).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1324 (base 6) to base 11\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 15*f**2 + 2*f - 5*f + 2*f. Calculate the remainder when 29 is divided by j(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/10*2*3\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/56 + 7 + (-38)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o - 5*o - 93 = -2*h, -10 = -h - 8*o + 16*o - 31 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 30*d**2 + 8*d - 127. What is t(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -2, 0.2 in ascending order.\nAnswer: -2, 0.11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -16. Let l be (r\/(-4))\/(3\/12). Find the common denominator of 57\/22 and (51\/12)\/(l + 0).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let l(i) = -281*i**2. Determine j(l(g)).\nAnswer: 562*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 22*w - 1386 = -1551 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**5 - 21*l**4 + 25*l**3 - 5*l**2 + 1. Let d = -217 + 216. Let r(v) = -v**5 + v**4 + v**2 + 1. Let c(y) = d*r(y) + m(y). Factor c(w).\nAnswer: w**2*(w - 6)*(w - 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Suppose -2*u - 3*u - 57 = -o, o = 4*u + 53. Suppose 3*m - 32 = o. Solve 5 = -5*i - p*x, -2*i - 4*x - x - m = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 9*i = -8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2965205 millilitres in litres?\nAnswer: 0.0002965205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -9. What is the common denominator of (-292)\/24 + (-4 - u) and -7\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2 + 453*m + 2474. What is d(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -22. Suppose -k - 3*k = a*v - 234, -5*v = 4*k - 231. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*(sqrt(45) + -5) + -1 - ((1*sqrt(90)\/sqrt(2) - sqrt(45)) + sqrt(45) - (sqrt(405) + -2 + sqrt(405))))*-1)**2.\nAnswer: -2178*sqrt(5) + 6537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2\/2 + 2*f + 2. Let y = 93 - 90. What is x(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331473 (base 8) in base 16?\nAnswer: 1b33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12969 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*n - 70, -200*j + 199*j - 3*n + 2 = 0. Calculate the least common multiple of 32 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 45. Calculate d(7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from rukururrrkk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqqa when four letters picked without replacement from {k: 3, q: 5, a: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302 or 3324\/11?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372965279?\nAnswer: 3, 7, 65379299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - -5742.56\nAnswer: 5742.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - d = -128, 698*d + 78 = 4*r + 695*d for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = d - 1. What is the units digit of ((-87)\/(-9))\/(d\/(-21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q + q**2 - 2 + 23*q + 6*q**3 - 13*q in the form r*q**3 + x*q**2 + m + d*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3955 * -1.3\nAnswer: -0.51415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122321120 (base 4) in base 12?\nAnswer: 53908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 238865 * -31.34\nAnswer: -7486029.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*c = 208*c - 8, 0 = -4*i + 3*c - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -337*m**2 + 3926*m + 1416. Give d(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 243.89325 + 991597\nAnswer: 991840.89325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:31 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -44 - 4*q + 2*q + 2*q - 3*q. Let g be d(0). Let i = 60 + g. What is the lowest common multiple of 10 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 1335442329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.3 (b) -5483 (c) 2\/5 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sot when three letters picked without replacement from {s: 2, e: 1, g: 1, i: 3, t: 3, o: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 6*r - 20*r)*(29*r + 10*r - 4*r).\nAnswer: -315*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 126 + 189 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -6313*j**6\/6 - 7919*j**2\/2 - 4545. Find the second derivative of p(i) wrt i.\nAnswer: -126260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from dvdvvvvvvv.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22681 by 12.\nAnswer: -22681\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.675?\nAnswer: -0.3375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 = -57*t + 852 + 1221 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:57 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/240)\/((-2)\/(-6)))\/((-20)\/(-125))*6?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9310 and 49?\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 + 8*p**2 - 3115*p + 2. Let v(n) = 2*n**3 + 4*n**2 + 3*n + 1. Calculate l(c) - 2*v(c).\nAnswer: c**3 - 3121*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, k: 1, h: 10}. What is prob of picking 4 y?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 826686.2793 + 125\nAnswer: 826811.2793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/167? (a) -0.2 (b) -1 (c) 1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = 4*j. Suppose 2*z = j + 227. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2868 + -14619\/5. Let i = b - -56. What is the third smallest value in i, -9, -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -742 + 967. What is the derivative of 159*o**2 - 101*o**2 + q*o**2 + 84 + 52 wrt o?\nAnswer: 566*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-10) + (0 - 0))*((-3915)\/(-174) - 15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 2. Let f(p) be the second derivative of p**3\/3 + p**2\/2 + 2*p. Determine -5*f(u) + 2*l(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*7\/28 - -9*5. Calculate the highest common factor of 110 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142.4 + 138.7. Let d = 2\/3 + -11\/21. What is the smallest value in d, f, 0.1, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 538, 551, 564, 577?\n\"Answer: 13*h + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i - 2*i. What is the units digit of 15*((-24)\/(-5) - i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1359, 2719, 4979, 8145, 12223?\n\"Answer: g**3 + 444*g**2 + 21*g + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 51600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 217, -610.\nAnswer: -610, 3, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -3811, -7, -4, -3\/10, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 495168353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*c = -2*x - 22, -4*x - 19 = 5*c. Let l = x - -12. Let v(d) be the first derivative of -d**2 - d + 765. Give v(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d + 1320 = -75*d + 121*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2. Let s(o) = 8*o + 80. Let x(l) = 40*a(l) - s(l). Let b(i) = 35*i. Give x(b(k)).\nAnswer: -280*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2455*y**2 + 14733*y**2 + 9769*y**2 to the form h + m*y**2 + z*y and give m.\nAnswer: 22047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 116 = o - 26*a, 0 = -3*o + 5*a + 388. Which is smaller: 135 or o?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -85, -99, -113?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -215*i**2 + 55*i + 11. Let v(p) = -106*p**2 + 30*p + 6. Let h(a) = -6*t(a) + 11*v(a). Let u(l) = -2*l. Determine u(h(o)).\nAnswer: -248*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0507 - -85.6493. What is o rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/14)\/((-6)\/(-16)). What is the nearest to 1 in u, -2\/3, -0.03?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12302066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10, 2*q - 40 = -5*x + 49. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119738, -119739, -119740, -119741?\nAnswer: -119742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {c: 8, e: 2, f: 2, y: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -8 (c) 0.3 (d) 7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201 + 208. Let f(g) = 132245*g**2 + 11*g - 82. Let w be f(o). What is w rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 60. Let f = -0.56 + 0.76. Which is the third biggest value? (a) u (b) 0.23 (c) -2\/15 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 2 + (12 - 6). Let z be 30*b\/105 + (-3)\/7. Solve -z*v - 3*w - 9 = 0, 5 = -v - w - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 + 103. Let s = -1 + 0.9. Let n = 0.1 + s. Sort n, v, 0.4 in increasing order.\nAnswer: v, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 1, j: 2}. Give prob of picking 2 j and 1 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1402787775 - 0.2.\nAnswer: 1402787774.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 14) to base 4\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 588 + -5903\/10. What is the common denominator of r and -103\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 22. Suppose 12*y - 78 = 186. Let j = u - y. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 20, -74 - 489 = -2*d + 3*v. What is the remainder when d is divided by 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/60377 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6802*p. Let s(v) = 2*v**2. Calculate s(y(o)).\nAnswer: 92534408*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/4 (b) 4 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23356147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 times -0.51777\nAnswer: -0.01449756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.3336 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 130. Let i = 228 + -241. Let s be z(i). Solve -3*v + 4*d = -s, -19 = -5*v + 2*d + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3084 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 365 (b) 2\/13 (c) 3\/4840 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + (31 - (136 + -50)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622469, -622439, -622371, -622247, -622049?\nAnswer: -621759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11358.858 + 11359. Let j = -1083 + 1080.772. Let t = g - j. Round t to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/310 and -43\/5845.\nAnswer: 362390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 9, -5 in descending order.\nAnswer: 9, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 times 0.1?\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -2*y + c, 5*y + 4*c - 425 = -c. Let k(b) = b**2 + 26*b + 174. Let g be k(-11). What is the greatest common divisor of g and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c + 448. Let o be s(-56). Solve o = 10*l - 4*l - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 12) in base 2?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286485 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 + 465. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*v**4\/5 - 20744*v**3\/5 - 22559242*v**2\/5 - 82410316*v\/5 + 29977456\/5 = 0. What is v?\nAnswer: -866, -4, 1\/3, 4327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 280309*-7\nAnswer: -1962163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**5 - 28*j**4*u**3 - j**3 + 22*j**2*u**2 - 21*j*u**3 wrt j?\nAnswer: 360*j**2 - 672*j*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7831258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*g = 6, 6*m - 5*g + 4 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/(-3)*(-423)\/282\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/114 and 71\/48?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -136, -73, 1, -5, 18 in ascending order.\nAnswer: -136, -73, -5, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -764, -1528, -2292, -3056?\nAnswer: -3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*v - 413594 = -2346148. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 + 0)*(0 + 3 - 2) - 4 + 6 + 2)*(n - n**3 + 4*n - n) to the form f*n**3 + q + t*n + i*n**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 106 = -3*u. Calculate the highest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 77, 109, 141, 173, 205?\n\"Answer: 32*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33141 + -10?\nAnswer: 33131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iwzwwwiiiwwwiiiwi.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -1 + 87 + 3 - (-1 - -14)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4283 = -i, 21*i + 5*m + 17135 = 25*i. List the prime factors of i.\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/8*(-8)\/(-20))\/(6\/1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubuuhubhbbbhhu. Give prob of sequence hbbb.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -6 - ((8 - 3) + 1 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270744 = 50*p - 643906. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22021680.\nAnswer: 2, 3, 5, 91757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1090, -4, 0, -2 in increasing order.\nAnswer: -1090, -4, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10049216?\nAnswer: 2, 157019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 4. Calculate the remainder when s(-2) 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 2565.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 m when four letters picked without replacement from mmmmmmmwmwmmmwmmmmmm?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2 + 41819*t - 292782 = 0.\nAnswer: -41826, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15338 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/7 (c) 1 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {w: 1, g: 1, i: 2, q: 1, u: 1, o: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 600 + -304. Let d = -293.2 + g. Let o = 953\/8 - 119. Sort o, 0, d, -5 in decreasing order.\nAnswer: d, o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 2*p + p + 2*p**3 + 2*p as f*p**2 + s + g*p**3 + n*p and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvj when three letters picked without replacement from {e: 2, w: 2, v: 4, h: 4, b: 3, j: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236649743 divided by 1.\nAnswer: 236649743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 68. Suppose -p*c + 280 = -43*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54071 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/7542 and -75\/1559518.\nAnswer: 14035662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((14 - 14) + -3 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4 and 83\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p + 44. Let f be o(-10). Put f, 2, 4 in increasing order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(240)\/sqrt(4))*6 + (sqrt(720) + sqrt(720)*-1 + sqrt(720) - sqrt(720))\/sqrt(12))\/(1*(sqrt(972) - sqrt(972)*3 - sqrt(972))).\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 12*d + 2. Let r be h(-12). Let i(w) = -43 + 42 - 962*w**3 - 2*w**r - 306*w**3 - 2*w. Is i(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0279 times -142985\nAnswer: 3989.2815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -872.4, 1\/7, 6\/5, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) - (16\/10 + -8). Solve -7*y - x*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 30*v**2 + 2*v. Let h be (7 - -9)\/8 - -712. Let a(m) = h*m + 718*m - 1435*m. Give k(a(g)).\nAnswer: 270*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 213 = -55*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10686 + -10685. Let q(r) = -r**3 + 8*r**2 + 7*r - 12. Let g be q(8). Let f be g\/10*4\/8. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/4 + 14*r**3\/3 + 5*r**2 - 16*r + 23. Calculate the remainder when y(-9) is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let i be (-4)\/(-14) + (-3 - (-590)\/140). Let y(v) be the first derivative of -i*v**2 + 0*v - 6. What is y(t(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/((-2)\/(-9)))\/(-3). Do l and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -u + 121, -2*d - 276 = -5*u. Which is smaller: -16 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1123 (base 4) to base 9\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10.4 (b) -1\/5 (c) 17211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 277582550 and 3836.\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-27)\/(270\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85101489.\nAnswer: 3, 11, 101, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 24. What is the tens digit of 208\/g*(-3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1436 + 5?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 (base 15) in base 5?\nAnswer: -14043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let i(a) = -a + 3*a + 16 - 17. Let d(v) = -10*v - 4. Let t be d(-7). Let f(c) = 69*c - 33. Let g(n) = t*i(n) - 2*f(n). Give w(g(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 - 500. Let q = k + 251. Which is the second biggest value? (a) 0.2 (b) 1.3 (c) q (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -274.5\nAnswer: 274.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 25*h\/2 + 625\/4.\nAnswer: (h + 25)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1340413104?\nAnswer: 1340413112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -20 - 40. Calculate the smallest common multiple of 14 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 4*x + 2385. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by 38?\nAnswer: -81\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 2. Suppose 0 = 7*i - 2*i - 70. Suppose 4*t = 6*t + i. Determine v(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d - 10. Suppose -6*r = 37*r - 774. What is the remainder when r is divided by (-11)\/d + 3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 + 5*x + 3. Let w be g(-5). Suppose 0*q + 228 = 3*v - w*q, -q = 2*v - 167. Calculate the smallest common multiple of 81 and v.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 13*t**2 - t + 10. Let n be y(13). Let s(b) = 11*b**2 + 13*b - 4. Calculate the remainder when 109 is divided by s(n).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5095931?\nAnswer: 41, 124291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86601582823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17686 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = -170. Suppose i = -g - 4*g. Let k = g + 33. What is the lowest common multiple of 4 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004541863 rounded to five decimal places?\nAnswer: -0.00454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150758515 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: Simplify 4*(2 + sqrt(34)\/sqrt(2)*4 + 0 + 1*sqrt(34)\/(sqrt(72)*-4) + 1).\nAnswer: 12 + 95*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3, -1939, 8, -3 in increasing order.\nAnswer: -1939, -45, -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 5. Let t be p(-4). Let v(y) = -y**2 - 2 + 0 + 3 + 8*y. List the prime factors of v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2*x*y - 2518*u**2*x + 563589*u**2*y**3 - 64*u*x wrt y.\nAnswer: 2*u**2*x + 1690767*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356 - 704 + 348 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 593543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1\/10)\/i))\/i**6)**17 assuming i is positive.\nAnswer: i**(-663\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 137 - 19 = 0. What is the remainder when 79 is divided by 9\/u + (-942)\/(-24)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101, 199, 299, 401, 505?\n\"Answer: z**2 + 95*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 + 8560*y**2\/3.\nAnswer: -2*y**2*(y - 12840)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 28. What is the third biggest value in 0.3, 5, 5\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/(-273) + 64\/14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/8 - 4*c**2. Suppose 2*p - 4*p - 2 = 0. Let b be g(p). Let i(a) = a**3 + a**2 - 3*a + 3. Determine i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 41*g**3 - 3*g**2 + 2*g + 2. Is r(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 366*p - 1374*p + 28224 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - k**2 - k**4 + 344*k + 4*k**2 - 351*k in the form s*k**3 + x + r*k**4 + b*k**2 + c*k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4506*d + 13506*d - 4505*d - 4492*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -15975?\nAnswer: 13\/15975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -5*o**8\/28 - 23*o**7\/42 - o**4\/6 - 19*o**2\/2 - 263*o. What is the third derivative of z(f) wrt f?\nAnswer: -1200*f**3 - 1380*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -287*p - 320?\nAnswer: -287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*t = -3, 4*y + t + 20 = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = l + 7*s - 182, 4*l - 680 = -4*s. Calculate the remainder when l is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e166 - -18?\nAnswer: e17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93.3 - -125. Let b = j - 32. Let t = 0.05 + -3.05. What is the third smallest value in b, -2, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64\/359 + 52194\/6821. Is k not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/3 + 53807*s\/3 - 107602 = 0. Calculate s.\nAnswer: 6, 53801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18363.\nAnswer: 3, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132 and -0.1.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -0.2. Let k be (((-7)\/(-7))\/(3\/(-12)))\/2. What is the closest to -1 in t, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53581679.1 and -4?\nAnswer: 53581675.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i + 24. Let y(a) = -a. Let c(w) = j(w) + 6*y(w). Let z be c(-4). Let x(p) = p**3 + 7*p**2 - 4*p - 4. Is 52 a factor of x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u**2 + 5*u + 2. Let r(w) = -28*w**2 + 10*w - 1. Let n(v) = -7*j(v) + 3*r(v). Let z(a) = -2*a**2 + 2*a + 6. What is 4*n(t) + 11*z(t)?\nAnswer: 6*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23479469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 36 + 4. Suppose -503 = -5*h + 3*i - 169, 0 = 5*i - k. Let a be 2\/9 - h\/(-18). Solve 9 = -a*l + l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:33 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 12:39 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + (sqrt(243) - (sqrt(243) - 2*sqrt(243))) - sqrt(243))\/(4*sqrt(81)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - q)*(-18*q + 9*q - 3*q).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.512 * -277.\nAnswer: -141.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613*r = -617*r + 2269 + 727. Calculate the remainder when r is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g + 155. Suppose 30 = 7*t - 82. What are the prime factors of w(t)?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*y = 45, -3*k - y - 2*y + 225 = 0. What is the remainder when ((-5)\/(25\/6))\/(k\/(-12775)) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 24*z + 5. Let g be h(3). Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 308\/27?\nAnswer: 308\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35207509.\nAnswer: 35207509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58660 is divided by 28574?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -3*z + 3*r - 29, 490*r - 489*r - 33 = 84*z - 301 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -103.9. Let k = f - -11. Which is smaller: k or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -43, -9222, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j. Let c(q) be the third derivative of -1\/24*q**4 + j*q + 0*q**3 + 2*q**2 + 0 - 1\/60*q**5. Factor c(m).\nAnswer: -m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + (-1)\/(3\/(-9)). Let v = -17 + c. Let x(o) = o**3 + 3*o**2 - 3*o - 1. What is x(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:29 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 286 in increasing order.\nAnswer: 4, 5, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032346 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + 3. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 - 3 = 3*b, 2*b - 26 = -5*q. Suppose -3*h - 12 - 12 = -f, 0 = 4*f + q*h - 176. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 2991873600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1573) + 0 + -4.\nAnswer: -8 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.7 and -0.4.\nAnswer: 11.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2937\/353 + 803875\/81896. Let t = f + 156\/29. Calculate the common denominator of 33\/26 and t.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-2\/5)))\/f*f)\/f*f**(2\/15)\/f*f**(-1\/4)*f**(-4) assuming f is positive.\nAnswer: f**(-343\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.062 - 0.025. Let n = -0.163 - l. Let a = -0.35 - -0.3. Sort a, 6\/11, n in decreasing order.\nAnswer: 6\/11, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13752 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1600)\/480*(27\/(-4))\/(-9)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g**2 + 15058*g - 74750. Calculate o(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/2*(-5 + 2 + 2). Find the common denominator of -39\/8 and 8\/f + 2665\/364.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0.037 (b) -1\/22 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 3\/4, 629, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 966, 1933, 2900?\nAnswer: 3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b)\/b**(-1\/7))\/(b**(-2\/5)*b*b\/b**(-8)) assuming b is positive.\nAnswer: b**(-1219\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -f - 2*f + 3*r, -113 = -5*f + 2*r. Suppose f = 3*z - 3. What is the greatest common factor of 56 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j + 0*j)*(-2 + 5 + 2)*(-3 + 6 - 2 + (1 - 6 - 2)*(2 - 3 + 2)).\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 108 = -5*p - 168, 3*m = -p - 814. Which is smaller: -811\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172501232?\nAnswer: 2, 10781327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 6, w: 4, o: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 - o**4 + 5*o**4 - o**2 + (-2*o - o + 2*o)*(11*o**3 + 5*o**3 - 15*o**3) as g*o**4 + p + b*o + s*o**2 + k*o**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8) - (-27)\/12)*8\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 11, 713 in ascending order.\nAnswer: -4, 5, 11, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:05 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*g**3 + 18262*g**2 + 3*g + 14561903 wrt g.\nAnswer: 30*g**2 + 36524*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2886*b**3*o**4 + 2*b**3*o - 4*b**2*o**3 - 32*b**2*o**2 - 103*b - 3*o**4 wrt o?\nAnswer: -69264*b**3*o - 24*b**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -7251.88261902.\nAnswer: -7251.88261902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/j)\/(j\/(j\/(j\/j**18))))**(-14) assuming j is positive.\nAnswer: j**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w = 3*v - 48, 3*v - 48 = 768*w - 769*w for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-30)*(-2 - (-76)\/50).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130232, -260454, -390676, -520898?\nAnswer: -651120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*a**2 - 13*a**2 - 3*a**2 + 128*a**3 + 407*a wrt a.\nAnswer: 768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b - 2*b + 6*b. Let x(z) = 8*z**2. What is x(y(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3477\/5, 0.14, 5, 6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26434 by 5120.\nAnswer: -13217\/2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -8. Let m = 41.9993 - u. What is m rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 1032910903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.09 or -107141?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3566 - -3627. Let d(i) = i**3 + 17*i**2 - 7*i - 10. Let c be d(-11). Calculate the greatest common divisor of r and c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -21*n. Give l(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(3 + -5) - -8) + -3. Suppose 5*r = f + r + 1, r = o*f - 14. Suppose f*v + d - 3*d = -57, v + 19 = -2*d. Is -17 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52578.\nAnswer: 2, 3, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*c = -27, 6*c + 171 = l + 2*c - 24*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3245918 and 786.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -81*l + 3. Let z(r) = -16*r. Let w(q) = -b(q) + 4*z(q). Let d(t) = 8*t - 1. Give -5*d(j) + 2*w(j).\nAnswer: -6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 0.41, 2\/3, -8, -3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b8cb3 (base 14) to base 8.\nAnswer: 7670335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115104 is divided by 3105?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 123*w + 1700. Give a(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -447171273 + -1?\nAnswer: -447171274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 330 - 329.9. What is the closest to 0 in 4, k, 3\/2, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23010167.\nAnswer: 821, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 + 76*n - 32. Let z be s(-11). Let h(o) = -o**2 - 20*o + 23. Calculate h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29955790.\nAnswer: 2, 5, 2995579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -5*z + 12*z. Suppose 35*h - 4 = z*h. Factor -2\/3 - 2*a - 2*a**h - 2\/3*a**3.\nAnswer: -2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 7*r + 9. Let d be p(-6). Suppose 184*t = -202*t + 423*t. Suppose -6*y = -2*y. Solve -d*i + 3 = 3*x - t*x, -x - 2*i = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 2 t when four letters picked without replacement from llltflelzttztflllfl.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + j + 3*j + 18, -81*r - 5*j = 8*r - 158 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 11:54 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:54 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13+-6.787\nAnswer: 6.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 55 - 74 - p - 190.\nAnswer: -p - 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2057) - sqrt(2057)) + 0)**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3819*l + 15368. Give w(-4).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-1169.\nAnswer: -22211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-12 - -15 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -27528, -4 in increasing order.\nAnswer: -27528, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Suppose -2*t + 3*l + 38 = 0, 2*t = l - 0*l + 30. Let a(y) = 33*y - 13*y - t*y - 15*y. Determine a(m(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563178737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -78, -3, 9, 2, 23, -15 in increasing order.\nAnswer: -78, -15, -3, -2, 2, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7 = 4*p, 0*s - 25 = -3*s + 5*p. Let u(b) = -34*b - 9. Let g(x) = -535*x - 144. Let f(l) = 4*g(l) - 63*u(l). Determine f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 33*p + 110. What is the remainder when 526 is divided by g(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2337*q**5 + 187*q**4 + 522921*q**2?\nAnswer: -140220*q**2 + 4488*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 502729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 279 divided by 9\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 220*p**3 - 25*p**2 - 123*p - 101. What is v(-1)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-285 - -298) + -8 + 6 + 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1030 * 0.2.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -264*b**5 - 5*b**2 - 10*b wrt b?\nAnswer: -15840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8978*y + 4033?\nAnswer: -8978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, s: 2}. What is prob of sequence gssg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 57, 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11 (b) -4 (c) 1 (d) -0.4 (e) -1\/333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -216520 or -216518?\nAnswer: -216518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-82)\/12 - -6*75\/(-540)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -550001\/36 - -15280. Find the common denominator of -133\/24 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1255 = 7*n - 47. What is the remainder when n is divided by 87?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2653)\/(-758)*(4 + -3 - 3) + 54 + 2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 - 29284*h + 5305918 = 0. What is h?\nAnswer: -14821, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.4539974 rounded to 2 dps?\nAnswer: 59.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 325*z - 325*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041366917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 212518883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 21, -14\/9, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6328, 12632, 18938, 25246, 31556?\n\"Answer: h**2 + 6301*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m + 31. Let z be n(5). Is z\/(-4) - 123330\/(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -193*f**3 - 207*f**2 - 8*f. Let l(m) = -64*m**3 - 69*m**2 - 3*m. Let u(b) = 3*k(b) - 8*l(b). What is the third derivative of u(j) wrt j?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 570966 and 86510?\nAnswer: 2854830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 27 = -v. Let h(t) = 0*t + t + v*t. Let r(p) = -9*p**2. What is r(h(s))?\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4352, -4356, -4384, -4448, -4560?\nAnswer: -4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 2. Let k be (-93)\/204 + 6\/8. Let x = -18\/119 + k. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-63)*(1302\/(-12) - 0). What is the greatest common divisor of 279 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-7 + -48 - 9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 1 + 14*t + 8 - 2 - 2 + 7.\nAnswer: 8*t + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1668 - -0.17. Round t to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) + -3 + 0 + sqrt(19))**2 - sqrt(133)\/(sqrt(7)*2))*3.\nAnswer: -69*sqrt(19)\/2 + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/11 - -13\/22. What is the nearest to 1 in -2\/9, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16035999*b**3 - 11359870 wrt b.\nAnswer: -48107997*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:13 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 273.9 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2366 is divided by 786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 64\/6 + (-2)\/9. Which is smaller: v or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (203 + z - 5*z - 170)*(-5*z + 4*z + 3*z) in the form v + f*z**2 + i*z and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2a87593 (base 11) to base 7\nAnswer: 62612605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**3 + l**3 - 8*l**3 + 10*l**3.\nAnswer: -27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -156*b + 120. Let o(d) = 31*d - 23. What is 2*l(c) + 11*o(c)?\nAnswer: 29*c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2886872 millilitres in litres?\nAnswer: 0.0002886872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 1. Let k(i) = i - 1. Let y(q) = -2*f(q) - 2*k(q). Let d(t) be the second derivative of t**3\/3 - 76*t. What is d(y(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.114, -3, 178, 1\/4, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15611?\nAnswer: 67, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**3 - 3*n**3 + 7*n**3)*(6 + 2*n - 6).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124*x + 131*x - 21. Suppose -x*i + t = -406, i = 2*t - 3*t + 134. Calculate the greatest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 296.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1862\/28)*-7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from dpdqjjzejqzzpjzzjzq?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 5*v + 9. Let w be (21\/28)\/(4\/((-64)\/(-3))). Let t(y) = 2*y**2 - 4*y - 8. What is w*t(o) + 3*d(o)?\nAnswer: 2*o**2 - o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-1)\/((-3)\/4))*(-958968)\/25236.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -60.4, 0.92, 12, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2.1 (c) -0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667966382?\nAnswer: 2, 859, 1552949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 4*n**4 + 2*n**3\/3 + n**2\/2 - n - 9. Is w(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 17. Let t be f(12). Suppose 0 = 5*j - 0*j - 15. Suppose j*b + 106 = t*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:25 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 + 0 = 0. Let f = -302 - -303. Calculate the highest common divisor of f and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -62, -2.\nAnswer: -62, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 120\/50 - 6\/(-10). Solve 2*t = 3*c - 7, -t - 18 = -2*c - s*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuvvuuuuuuu. What is prob of picking 2 v and 1 u?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 - 22*t**2 - 8 + 6 + 33*t + 3 + 4*t**2 - 33*t.\nAnswer: -31*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1904 + 1908. What is the highest common divisor of 724 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -1834*o**6\/15 - 125*o**2\/2 - 76*o - 6. What is the derivative of f(s) wrt s?\nAnswer: -14672*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3623007538165835102.419999543 - -3623007546467073741. Let t = b - 8301238146.58. Let s = t + -492. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/4)\/((-7910)\/(-18984))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23722, -47124, -70198, -92950, -115386, -137512?\nAnswer: -159334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11245 is divided by 653?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - k + 54077 = 0, 2*k = 10. Let s be 419034\/b - (-2)\/4. Let w = s - 1\/751. Find the common denominator of 39\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/59 (b) -2 (c) 3 (d) 0.17 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 481 = -232 - 236. Let h be (513\/(-170))\/3 + 1. Which is greater: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 799 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 8*t. Let d be n(3). Factor 73*a**2 + 4*a + 2 - 2*a**3 - 6*a**4 - 69*a**2 - 2*a**d - 2*a**5 + 2*a.\nAnswer: -2*(a - 1)*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2726 and 13\/58?\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcz when three letters picked without replacement from {c: 1, z: 3, d: 4, s: 2, j: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/3 - 3469*c**3\/3 + 310684*c**2\/3 = 0. Calculate c.\nAnswer: 0, 92, 3377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 111*z + 218. Let w be u(-109). Let t = -2040\/7 - -292. Factor 0*i + t*i**3 + 0 + 2\/7*i**4 - 2\/7*i**5 + w*i**2.\nAnswer: -2*i**3*(i - 2)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v - 6974 = 43*v. Let g be 1 + -1 + 0 - -2. Suppose -2*j - 619 = -2*f - 3*j, g*f + 4*j = v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853, 1024, 4183, 8648, 14443, 21592?\nAnswer: 30119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + c - 13. Let j be s(8). Suppose -2*u - 4*x - 174 = -5*u, j = u - x. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5\/19 + 820*f**4\/19 - 5016*f**3 + 2281904*f**2\/19 - 585280*f + 729600 = 0.\nAnswer: 2, 4, 24, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 55541772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 = -3*g, 5*g + 23 + 5 = -a. Let s be (-1)\/(a\/12) - 2. List the prime factors of (-8)\/s*(-26)\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5124 - 5108 = -q + 5*i, -5*q = 5*i + 20 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 b when four letters picked without replacement from {b: 13, y: 3}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**3 + 45*m**2 + 1464*m + 720 = 0. Calculate m.\nAnswer: -12, -1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/(-4) + 1428\/(-34) + 64.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 0. Suppose -2*s + 39 = 3*v, -4*v = s + 4*s - 45. Suppose v = 3*l - r. Calculate the lowest common multiple of l and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 3916\nAnswer: 1566.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-1\/4)\/u)))**(-18)\/((u\/u**(2\/9))\/u**7) assuming u is positive.\nAnswer: u**(517\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let i(s) be the first derivative of s**5\/60 + 3*s**4\/8 - 105*s**2\/2 - 135. Let l(q) be the second derivative of i(q). What is l(m(z))?\nAnswer: 4*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12240 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 74 + 311 + 95 + 83 + 10*r. Let s be t(-36). Solve 22*l - s*l = -12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6286 + 20325. Let c = l + -7792. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from kkknkkkkkkkkkkkkkk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 3685764?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -63*r + 514. Let l be x(8). Solve 8 = -4*o + 2*h, -l*o = -11*o + 2*h - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 17. Suppose 4*m = -0*x + x - g, 2*m + x = -34. Let z be 3\/(-2)*20\/m. Solve -3*h - h - 4 = 0, -z*d = 3*h + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 14438706*g**2 - 14*g. Let m(a) = -5*a. Give m(z(q)).\nAnswer: -72193530*q**2 + 70*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4 + k + 3*k + k**2 + 0. Let g be w(-6). List the prime factors of g\/(-20)*5\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.5 in -28\/15, 3, 0.4, 2\/21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2323.98 + 2369.980095. Let z = r - 46. Round z to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 26. Suppose -4*g + 3*m - 31 - 37 = 0, -5*g - 74 = -m. Let k be l(g). List the prime factors of (-2455)\/(-30) + (-5)\/k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-72)\/285)\/(3\/45*6) and -52\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7935 - -10985. What are the prime factors of j?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 1. Let d = 12 - 17. Let g(l) = 2*l. Let k(n) be the third derivative of n**4\/24 + 4425*n**2 - 2. Give d*k(w) + i*g(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -25. Let w = -162 - -167. Let s be (-28)\/(-10) - ((-1)\/w + 0). Solve 0 = r - 3*l + v, -l - 2 = -s*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-8) - 2\/(-4). Let k = 14 - c. What is the highest common factor of 119 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.64 - 235.86. Let b = -242 - t. What is the third biggest value in -2, b, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748200 + 141370 = 10*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -537\nAnswer: -3\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*g + 4, 2*t = 3*t - 3*g - 3. Let h(u) = t*u - 4*u + 2 + 6*u. Let o(i) = i + 1. Suppose -3*p + 2*p + 1 = 0. What is p*h(s) - 4*o(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*j = -12, 2*g + 5*j = -96 + 98 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, m: 2, k: 4}. What is prob of picking 2 k and 2 i?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1058 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -101. Let u(z) be the first derivative of 12 + 7\/2*z**k - 7*z. Differentiate u(v) wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqocqqeccooccoq. What is prob of picking 1 o, 1 c, and 1 q?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooottoooooooo. Give prob of sequence tt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 - 0.14. Let n = 0.3 - -0.2. Let x = n + p. Which is the third biggest value? (a) x (b) 0 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-6)\/h*h))**43 assuming h is positive.\nAnswer: h**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 6.1 (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 910757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 7*h + 8. Let w(u) be the third derivative of 1\/60*u**5 + 0*u - 27*u**2 + 4\/3*u**3 + 0 - 1\/4*u**4. Let i(m) = -3*l(m) + 2*w(m). Factor i(b).\nAnswer: -(b - 8)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 12:21 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3512 + -2012?\nAnswer: -5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 10*u - 12 = 0. What is u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 15*m - 15. Let c(r) = -8*r + 10. Determine 5*c(u) + 3*h(u).\nAnswer: 5*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 5, 4 in descending order.\nAnswer: 5, 4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 782\nAnswer: 1\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(475) - sqrt(19) - (sqrt(19) + (sqrt(76) - (sqrt(76) - (sqrt(76) - 4*sqrt(76) - sqrt(76))))\/sqrt(4)))**2.\nAnswer: -2841 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 4532?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxn when three letters picked without replacement from jxnxujjnxn.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 5*o + 86. Calculate n(14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + (-8)\/(-2))\/(-2). Suppose j = 7*l - 3*l + 16. Let d = l - -7. Solve d*u + 0 = 9 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 4273178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 627, 2102, 4965, 9678?\n\"Answer: 77*c**3 + c**2 + 7*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -18711767405737.\nAnswer: -18711767405736.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -1767*j**2 - 20*j - 1839. What is the first derivative of m(a) wrt a?\nAnswer: -3534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 = 5, 4*z + 4*x = 128. Let y(j) = -j**3 - 4*j**2 + j - 8. What is the remainder when z is divided by y(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 301194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022163 rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 221, 199, 157, 89, -11, -149?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.94 - 0.06. Let d = 721 + -721.2. Put u, d, -5 in decreasing order.\nAnswer: d, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 3. Let s be r(-7). Suppose -f - 3*g - 6 = -2*g, -4*f = -s*g + 40. Let n(w) = -w**2 - 8*w + 6. Give n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -962.94242 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.55389 minutes in seconds?\nAnswer: 3333.2334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*g + 534, 16*n = -4*g + 15*n + 1078. What is the remainder when g is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-1)\/((-10)\/(-8)) + (30160\/406)\/20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 40. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*o - 2)*(1 - 8*o - 1) + 7*o + 2 + 2*o**2 - 4*o + 18*o.\nAnswer: 26*o**2 + 21*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 3. Let a = 6 + -6.5. What is the smallest value in a, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 2*m + 1288 = 14*g, -3*g - m = -1932. Calculate the highest common factor of 16 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -19*j - 10. Let i(x) = -77*x - 34. Let f(a) = -2*i(a) + 9*w(a). Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 1*(4\/16 + (-7096)\/(-32)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-1) - (-790)\/10. What is the tens digit of (q\/(-5))\/(10\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/(-414) - (-2)\/(-18). Sort 1, -108, w, 4 in increasing order.\nAnswer: -108, w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = 0, 21 = 2*j - 0*v - 5*v. Let y = -2.9 - -2.9. What is the closest to j in 0.3, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5453244*g**2 + 21*g - 461860180?\nAnswer: 10906488*g + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14457016, 14457015, 14457012, 14457007, 14457000, 14456991, 14456980?\n\"Answer: -i**2 + 2*i + 14457015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5\/17, 5.\nAnswer: -2, -5\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngnggsngnsrnsnsng. Give prob of picking 1 r and 3 n.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 at least -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 48 = 6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 375100 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and 0.3.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 253, 439, 657, 919?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11269 + -4486. What is the highest common divisor of f and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-8)\/80*16\/((-1232)\/(-35))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 38569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {l: 2, v: 1, k: 1, q: 1, u: 2, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -42*j + 1141. What is r(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 1, v: 1, e: 1, d: 2, o: 1}. Give prob of picking 1 d and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-147))\/(12\/98)*(-40)\/105.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 3*k = 8*b + 48029, -9599 = -b - 4*k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 2*j**3 + 41 - 71 + 1828*j**2 + 6*j**3 as s*j + a*j**2 + m*j**3 + r and give a.\nAnswer: 1828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -8, -0.7, -5, -1324 in ascending order.\nAnswer: -1324, -8, -5, -0.7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -680. Let f = i - -248. Let k = f + 3527\/10. Calculate the common denominator of k and -35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*sqrt(24)\/sqrt(2))\/(sqrt(256)*3 + sqrt(256))*6)**2*4.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 771*r - 974*r + 7511 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 586, 871, 1142, 1393, 1618?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1237? (a) 0.4 (b) -0.2 (c) 597 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**4 - 2*q**4 + 3*q**4 - 3*q + 3*q - q**4 + (-4 + 2 + 3)*(q**4 - q**4 - 2*q**4).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-98))\/11*-2*1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4 = -3*x, 10 = 3*x + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-7)*(-2954)\/4642\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/5)\/(-4) + 0. Which is the nearest to o? (a) 1\/7 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -21196 - 18571. What are the prime factors of b?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4181 - 23*b**2 + 4181 + 6*b**3 as l*b**3 + d*b + x*b**2 + w and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4 - -2)*4)\/(-2). Let x = 5 + -6. Suppose w + 2 = -h, -w = -h - h - 10. Sort w, x, a.\nAnswer: x, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9345.2482 - 9347. What is p rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + q = -4*q + 528, 0 = -5*t + 3*q - 880. Let u be (-10)\/4*t\/20. Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 16973168.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 472a (base 13) to base 14\nAnswer: 390b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-12)\/(-18) - (-6 + 1). Let z be (3 + -4)\/(6\/(-846)). What is the greatest common factor of z and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53799053 by 1393.\nAnswer: -38621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000172443467 rounded to 7 dps?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 15.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36))\/((sqrt(12) + (sqrt(24)\/sqrt(2) - sqrt(12)))\/sqrt(6)).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 - 122*h**3.\nAnswer: 2*h**3*(h - 183)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**4 - f + 1. Let g(r) = -r**5 + 485*r**4 + 2*r**3 - 966*r**2 - 3*r + 485. Let l(z) = -2*c(z) + g(z). Suppose l(p) = 0. What is p?\nAnswer: -1, 1, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4178078 times -4?\nAnswer: 16712312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - 0.19. Which is the nearest to u? (a) -5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 - 3. Let a be i(6). Let n be a*(6\/9 - 2). Suppose -n*r - r + 15 = 0. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 199\/4. What is the closest to 0.1 in -4, f, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/((-22)\/(-4) - 4). Let c be 4\/8*m + -1. Is -20*(6\/c + -2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2. Let i be (-16)\/2*4\/(-8). Let t(y) = 8*y**2 + 0 + 4 - i. Determine t(r(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311 - 270.9. Let i = v + -40. What is the closest to i in 3, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 10 = 11*n. Let k be 0 + (-26)\/(-19) - (-8 + 12). Is n >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p + 5*b = -56*p - 80, -2*p + 29 = -3*b. Calculate the remainder when (1 + -3)*(-31 - -4) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*o = -2886, 0*o = -3*s - 3*o + 1728. Let y = 183 - s. What is the units digit of 1\/(-3*2\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.32512 + -2.391. Round u to three decimal places.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 12.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 293?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31073 and 2?\nAnswer: 62146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -7*c**6\/15 + 4*c**4\/3 + 28*c. Find the third derivative of z(p) wrt p.\nAnswer: -336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -5 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 4*z**2 + z**2)*((1 + 3 - 5)*(4 - 3 + 1) + 1 + 0 - 2).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120354?\nAnswer: 2, 3, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 31 = -7*l, 4*l = 5*y + 35 - 34. Solve -4*t + 8*t = -l*h - 32, -34 = 3*t + 5*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 348 = t. Let c = t + 929\/8. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(84))\/((2*sqrt(144))\/sqrt(12))*-1 + -2.\nAnswer: -2*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1844686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -2*b + 4*z, -3*z - 1871 = 6*b - 1619 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(6 - (6 + -3)). Suppose b = 4*s - 270 - 450. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 228 = 5*k, 0*k - 94 = -2*k + 4*c. Suppose -5*s + 2*s + 21 = 0. Suppose -s*g + 5*g + 10 = 0. Calculate the highest common factor of k and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let n be (-129)\/3 + (-3 - -2). Let q(j) = -j**2 + 11*j + 11. What is n*k(d) - 4*q(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 + 9*t**2 + 128)*(17*t + 16*t**2 - 64*t**2 - 16*t).\nAnswer: -432*t**4 + 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*g**2 - 59*g**2 - 42*g**2 - 457*g**2.\nAnswer: -719*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 12:30 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22560 divided by 5?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Suppose -s*v + 4*a - 12 = 0, v - 6*v = 2*a - 20. Suppose 0 = l - 0*l - 4. Solve -k = -v*h + 2 - l, -k + 8 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -5*i. Let h be i + 2 + 1 + 4. Suppose 0 = -h*b + 23 + 76. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/83 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 36. Let a be b(-19). Differentiate -15*x**2 + 7*x**a + x + 2 + 2*x + 44 wrt x.\nAnswer: -16*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -1642.34455.\nAnswer: 1642.04455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.99526 - -0.6981. Round q to three decimal places.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 470\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.4917798 rounded to 0 dps?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 228, 373, 584, 867, 1228, 1673, 2208?\nAnswer: 2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9 + 5 = 0. Suppose 0 + i = n. What is the least common multiple of n and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15502 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b = 800. Suppose 0 = -6*n - n + 14. List the prime factors of (12\/(-48))\/(n\/b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3721*a**3\/6 - 545238374*a**2\/3 - 71506648*a\/3 - 2344480\/3 = 0.\nAnswer: -293060, -4\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 6681870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v - 9. Let x = -23 + 41. Let r(n) = -n - 1. Give x*r(s) - 2*c(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974836319*t**2 + 4*t + 974836310*t**2 - 4*t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 254742166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 + 94 - 33*r + 100*r - 33*r - 77*r**3 - 2*r**2 - 33*r as o + j*r**3 + l*r**2 + a*r and give j.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -645740779\/1014 - -636825. Let t = 10\/169 + z. Which is the second biggest value? (a) 5 (b) 0.45 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -996509 (base 11) to base 8.\nAnswer: -6041104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 - 32670*d**3 + 6318969*d**2 + 6351642*d = 0 for d.\nAnswer: -1, 0, 198, 10693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48304103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + i = -43, 17 = -2*o + 4*o - 3*i. Let w = -67\/4 + o. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 12*b - 15*b. Suppose 0 = -3*r + 3*l + 180, -2*r - r - b*l + 196 = 0. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -75.994. Let k = -0.094 - u. Let j = -40 - -39. What is the nearest to k in 0.3, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550851 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7092 is divided by 108?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in -2\/13, 5, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-14*z + 28571 + 28500 - 57236).\nAnswer: -42*z - 495","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 2*k + 380*k**2 - 99*k**2 - 2 in the form f + q*k**2 + l*k and give q.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5246 and -16.\nAnswer: 8.3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 5*w - 32*w**3 + 4*w**4 + 7*w**3 to the form d*w**3 + p*w**4 + f*w + i*w**2 + j and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 4*v**2 + 7*v - 4. Let z(j) = j**3 - 3*j**2 + 5*j - 3. Give 5*h(w) - 7*z(w).\nAnswer: 3*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 6008 + 24608 = 0. What are the prime factors of z?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) -1 (b) -4\/7 (c) 2\/15 (d) -3\/8 (e) 1\/32 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - t**2 - 3*t**2 + 135 - 135 + 24*t**2 + (2*t - 5*t + 4*t)*(0 + t + 0) in the form v + b*t + i*t**2 and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 3) to base 12.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10026815 + 2?\nAnswer: 10026817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 6*n. Let g be p(-6). Let o(k) = k**2 + 10*k. Let z be o(-10). Suppose g = -5*a - z + 35. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 15*m**2 + m + 3*m - 16*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(27))\/sqrt(9)*3.\nAnswer: -6*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3818 + 0.281. Let w = a + 0.11407. Round w to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 16 = -6*u. Sort u, -2\/7, 5 in decreasing order.\nAnswer: 5, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 255.563847967 from -6.\nAnswer: -261.563847967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5152586 * -0.06.\nAnswer: 309155.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -5 + 11 - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*5\/(-20)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-824800)\/(-2508000) - (-6)\/(-15)) + 2\/33?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*r + 233 + 1150 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4043*b - 1849 - 1405 - 54 - 1426 + 621 with respect to b.\nAnswer: -4043","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 228*n - 6498.\nAnswer: -2*(n - 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 8) in base 10?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/15 (c) -130 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, 146, 2, 0, 1\/10, 1\/2 in descending order.\nAnswer: 146, 2, 10\/9, 1\/2, 1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*c + 157, 7*c - 4*c = 5*y + 126. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 - -299. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, 0.45, -24\/5, -2\/5, -5, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -580*l**3 + 29*l**2. Let z(j) = -58*j**3 + 3*j**2. Calculate -3*t(q) + 29*z(q).\nAnswer: 58*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.367 to 2 decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 5*w**3 + 16*w**2 + 8*w**2 + 4*w**3 - 24*w**2.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234 + 0*r + 0*r + 3818*r**2 - 3962*r**2 - 234.\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 5:32 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14508 is divided by 4833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 38 + 10. What is the remainder when 34 is divided by n - (-1 - (-5 + 10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-3))\/21*(-2)\/(-2). What is the closest to -1\/2 in 61, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77140440 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-3))\/(36\/27))\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 117*21\/(-9009)*-110\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/11 (c) 1\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -40. Do j and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 3 - 3)*(-17707 + 4*k - 18*k**2 + 17705 - 10*k**2).\nAnswer: 56*k**5 - 8*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.842 hours in nanoseconds?\nAnswer: 3120631200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54747 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + (sqrt(38) - (sqrt(38) - (sqrt(2432)*2 + sqrt(2432)) - sqrt(38)))\/sqrt(288))**2.\nAnswer: 50*sqrt(19)\/3 + 14179\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*u = 254, -141 = 2*c + u + 112. Let j = c + 145. Solve -j*l = -17*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*a*d + 2700*a*u + 3437*d*u - 3 wrt a?\nAnswer: -10*d + 2700*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z - 1. Let q = 72 - 67. Let u(p) = 10*p - 3. Let l(k) = q*h(k) - 2*u(k). Let s be (-54)\/(-24) + (-2)\/8. Determine l(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (-1 + (5 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s - s)*(-10 - 55 - 59 + 23) + 21*s - 11*s + 143 - 8*s.\nAnswer: 305*s + 143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 234\/5 in -5, 1, 62\/3?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, s: 3, n: 3}. What is prob of picking 2 n and 2 k?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from yppmmx.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147*15\/450)\/(5\/(100\/12)).\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6779 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 + 4260*w**4 - 1101888*w**3 - 17185392*w**2 - 83514240*w - 125971200 = 0. Calculate w.\nAnswer: -6, -3, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 390066 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/36 - -5\/18. Sort 1, 3, p, -4 in descending order.\nAnswer: 3, 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 258132*c + 516309. Give g(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*a**3 - 968*a**3 - 1021*a**3 + 2989*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 6*s + s)*(0 + 0 - 2*s**2) - s**3 + 3*s**3 - s**3 + (s**2 + s**2 + 0*s**2)*(3*s + s - 6*s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 53*v - 130. Let n be b(-20). Solve n*s - 33 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2067 - 2066. Let v(r) = -67*r**3 - r**2 + r. Determine v(b).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 5. Let i(m) = -m. Let p(z) = -6*z + 4. Let f(h) = 3*i(h) - p(h). Give -3*f(r) + 2*q(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10584*g = -10918*g + 668 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-405))\/(190\/544411590). Let h = w - -106114\/5. Let j = h + 4\/171. Which is bigger: 0.4 or j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 divided by 3?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5096 + 5096. Which is bigger: 2\/223 or w?\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4050.135 - -4050. Let u = -3 - -3.755. Let p = u - w. What is p rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j - 40443*j**3 - 64*j + 133*j - 21343*j**3.\nAnswer: -61786*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4109, -10699, -19777, -31337, -45373?\n\"Answer: t**3 - 1250*t**2 - 2847*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1 (c) -1385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8427*x**2\/4 - 85383*x\/2 - 865107\/4.\nAnswer: -3*(53*x + 537)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291979 is divided by 22459.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 12*u**2 + 8*u - 6. Let k be j(-11). Let p = 312 + k. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8341 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -18?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 411540 at most as big as 411545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024272667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156518214*y**3 + 382989296*y**2 wrt y?\nAnswer: 939109284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times -0.01204\nAnswer: -0.022876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1141.1 + -1299. Let r = -158 - f. Which is the nearest to r? (a) -2 (b) 28 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -2. Suppose 0 = -6*f + f + 40. Suppose -3*a + 96 = -3*y, -4*a - f*y + 128 = -3*y. Calculate the remainder when a is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 437.26?\nAnswer: -437.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - v**2 + 4*v + 1. What is the units digit of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 488, 973, 1458, 1943, 2428, 2913?\n\"Answer: 485*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**3\/24 + t**2\/8 - 7. Solve r(x) = 0 for x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 + 168*i + 303. Let m be t(-41). Calculate the greatest common factor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:14 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 0.2, 1191.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*r**2 + 1624*r**2 + 3201*r**2 + 3076*r**2.\nAnswer: 7275*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -903 or 1661?\nAnswer: 1661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:56 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s - 3*k - 6817, 2*k + 8 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598*0.4.\nAnswer: -239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1398? (a) 18 (b) 0 (c) 1\/2 (d) -0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4 - 4)*(-8 + 3 - 7).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3456.73 and 51.\nAnswer: 176293.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w = -1092 + 66. Calculate the greatest common factor of 38 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((sqrt(324) + sqrt(324) + 1*sqrt(324) - sqrt(324) - sqrt(324)) + sqrt(324) - sqrt(324)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/4 - 3737*d\/2 - 126769\/4 = 0. Calculate d.\nAnswer: -7457, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1) + 0 - 56\/(-8). Let f(y) = -y**2 + 6*y + 8. Determine f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2078 + 2168. What is the remainder when 787 is divided by b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031764?\nAnswer: 2, 17, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6387241 to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**2 + b - 6. Let r be n(2). Let g be ((-2)\/6)\/((-8)\/r)*-5. Sort -2, -5, g, 3 in descending order.\nAnswer: g, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*s - 16696 - 7442 = 11982 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 190302 divided by 17\nAnswer: 190302\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/60 - h**4\/2 + 13*h**3\/6 + 23*h**2 - 4. Let a be n(11). Determine i so that 1\/4*i**3 + 0 + 1\/4*i + 1\/2*i**a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56151.80030328 - 56199.8003. Let v = y - -48. What is v rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 0 (b) -4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19343 and 1306073?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.64. Let q = o - -0.18. What is q rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15352 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*u - 70*u - 281*u + 6822 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 7*d**2 + 5*d + 7. Give n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2012?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(6\/(-27)). Suppose z*c + 3 + 1 = 5*v, -3*c - 7 = -2*v. Let g be (0 - (-2 - v))\/(-6). What is the second smallest value in g, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 8 (b) 1\/2 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 3, -2944 in descending order.\nAnswer: 3, -34, -2944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + 0)*1 - sqrt(1573) - (sqrt(1573) + -3*sqrt(1573)*2)) + 3)**2.\nAnswer: 330*sqrt(13) + 39334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 4*f + 3*r, -106 = -2*f - 13*r + 12*r. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94437975521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 25*g**2 - 2*g - 50. Let u be k(-25). Suppose 34*y - 21*y - 65 = u. Calculate the remainder when (-3)\/2*(2 - 8) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/9*1\/(28\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 - 11*s + 9. Let r be j(6). Let k be (-14)\/18*6\/r. Let n = -1.3 + 1.7. What is the nearest to n in 0.5, k, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 21*v - 135*v + 39*v + 42*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1204, 4 in descending order.\nAnswer: 4, -4, -1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-51) - 2) + 9 + -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*s)*(-264 + 264 - 3*s**2) in the form m + d*s + i*s**3 + r*s**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -576 - -322. Let u = i + 254.4064. What is u rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n**2 + 47*n + 68. What is d(-13)?\nAnswer: -3078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5827442.3318 minus 0.1?\nAnswer: 5827442.2318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, -0.1, 3\/20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -5*i**4\/24 + 56*i**2. Let r(z) = -30 + 39 + 15*z - 9. Calculate o(r(k)).\nAnswer: -75*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(1\/2)*y**(1\/14) assuming y is positive.\nAnswer: y**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -16. Find the first derivative of -7*s**3 - 2 + 6*s**p + 2*s**3 wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/11))**44\/((u**(-3)*u)\/u)**(-41) assuming u is positive.\nAnswer: u**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/207 or 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = -46524. Let q = -620351\/40 - l. Let s = q + 7\/40. Which is the biggest value? (a) s (b) -0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/35304 and 71\/35304?\nAnswer: 35304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 3*k**2 + 7*k - 4. Let u be v(-7). Suppose -48 = -4*i - w, 3*i - 445*w + 450*w - 19 = 0. Calculate the greatest common factor of u and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15204 and 44267532.\nAnswer: 309872724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let m(x) = -5781932*x**2. Give i(m(v)).\nAnswer: -11563864*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -77*j + 12. Let q be i(-7). Solve 0 = 554*u - q*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -2*q**3 + 5*q**2 - 224. Let c(t) = -14*t. Calculate c(n(l)).\nAnswer: 84*l**2 - 140*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Let s(u) = -u**3 - 3*u**2 - 4*u + 1. Let m be s(-3). Let r(v) be the first derivative of 2 + 6 + 3*v**3 + m. Give r(c(z)).\nAnswer: 144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -10682\nAnswer: 1\/5341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/42377842 and -5\/29338506.\nAnswer: 381400578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 2. Let y(x) be the first derivative of x**2\/2 + 4*x - 34. Let k(c) = 1. Let u(p) = -4*k(p) + y(p). What is -q(j) - u(j)?\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 200*i**2. Let p be v(-1). Suppose 2*q + 5*o = -p, -2 = -4*q + 3*o - 402. List the prime factors of 2\/(-5)*q\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -157, -323, -491, -661?\n\"Answer: -f**2 - 163*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4 + 38*i**3 - 15379*i**2 + 208348*i - 720300 = 0.\nAnswer: -150, 7, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -204, -348, -540, -774, -1044?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k + 10*k - 21*k. Let b(l) be the second derivative of -l**5\/60 + l**3\/2 + l. Let h(t) be the second derivative of b(t). What is p(h(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -19 - ((-3 - -1) + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4220 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p*p\/(p*(p\/p**(2\/3))\/p)*p)*p**36*p**(-25)\/p**(-19) assuming p is positive.\nAnswer: p**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-5 - -2))*-1. Suppose -4*p + 4*v = -124, 0 = -4*p - r*v - 2*v + 124. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3695 = 2326. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -x - 7, 5*x + 9 = -3*q - 8. Let b be (0 - (-52)\/(-4)) + -3. Let d = x - b. Solve m - d = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*s**2 + 4*s**3 + 92*s + 46*s**2 + 36*s**2 + 24*s**2.\nAnswer: 4*s*(s + 1)*(s + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -x + 4*x. Let y = x + 36. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.7 + -9.66. Let f = 0.1 + -0.14. Let l = g + f. Is l at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -169*n**3 + n**2 + 11*n + 3. Let d(t) = 173*t**3 - t**2 - 10*t - 3. Let l(v) = 3*d(v) + 4*o(v). What is the second derivative of l(f) wrt f?\nAnswer: -942*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/60 + 209*y**3\/6 + 5*y**2\/2 + 3*y. Let f(c) be the first derivative of b(c). Is f(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 5*d. Let s be 6\/(-5)*(6 + -1). Let n be j(s). Solve -2 = -4*c + n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 6*c + 2. Let d(m) = m**2 + 12*m + 14. Let t be d(-10). Let w be g(t). What is the second derivative of -8 - u - 9 + 8*u**w + 17 wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 - 1784*z**3 + 13 + 8.\nAnswer: -1784*z**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 24*g - 20. What is r(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0645 - -4.348. Let u = 4.4 - k. Round u to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37694, -4, 23\/36?\nAnswer: 23\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2440441141243 + 10?\nAnswer: -2440441141233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**3\/3 - 16. Let v(s) = s**2 - 73. Determine v(i(o)).\nAnswer: 4*o**4 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -176 from -7.675.\nAnswer: 168.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:19 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -123325.\nAnswer: -123324.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 80 - v**2 + 0*v**2 + 83.\nAnswer: -7*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 32 = -0*w + 4*w, -2*t - 17 = 5*w. Suppose -3*k = 2*k + 5*z - 110, -5*k = -5*z - 90. What is the lowest common multiple of k and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, 1 x, and 1 j when four letters picked without replacement from kgnjnxljnjnnj?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 3309 = 651. Calculate the remainder when m is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 - 20*f + 1. Let y(n) = -478*n**3 - 4*n**2 - 76*n + 5. Determine -4*a(p) + y(p).\nAnswer: -482*p**3 + 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m - 164. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 251.7352 to one decimal place.\nAnswer: 251.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20944666 is divided by 350?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 - ((26 - 43) + 25) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 2*j**2)*(2*j**2 - 3*j**2 + 0*j**2) - 4*j**4 + 5*j**4 + j**4 + (4*j - 4*j + 2*j)*(-4*j**3 + 2*j**3 + 3*j**3) - 3*j**2 + 3*j**2 - j**4.\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6 (c) 7\/5 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 - 4*j**2 - j. Let l(z) = z**2 - 5*z + 3. Let a be l(5). Calculate the remainder when q(a) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -875*b - 7271. Let i be f(-8). Which is bigger: i or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 28*q - 163. Let w be r(6). Let o(a) = -9*a - w*a + 12*a. Let g(n) = 4*n - 3*n**2 - 1 - 4*n. Calculate g(o(c)).\nAnswer: -12*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:30 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j\/(j*j**(2\/5))*j)\/j))\/j)\/j**(4\/17))**(2\/159) assuming j is positive.\nAnswer: j**(-142\/13515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:38 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140604776*z**4 - 210496564*z.\nAnswer: 1687257312*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*z**2 + 92\/5*z - 208.\nAnswer: -2*(z - 26)*(z - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6) + (-5)\/(-2). Let y = 2 - n. Let h be (-20)\/(-25) + 759\/(-805). Is y bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:04 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33089686 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249690.3 milliseconds to seconds.\nAnswer: 249.6903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.6372499 rounded to 3 dps?\nAnswer: -142.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4 + 120081*m - 131687 wrt m.\nAnswer: -4*m**3 + 120081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-1\/9)*v))\/((v\/(v\/(v*v**5)))\/v) assuming v is positive.\nAnswer: v**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 - 5*p**3 - 64*p**5 + 61*p**5 + ((3 - 1 + 0)*(p - p - 4*p) + (-1 + 4 - 5)*(0*p + p - 2*p))*(-2*p**4 + 0 + 0).\nAnswer: 9*p**5 - 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -308. Let r = c + 109. Is (-2)\/(-14) + (-2637)\/r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {p: 1, w: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 12.9. Let g = -3.8 - -4. Let q = -0.2 + 0. Which is the closest to k? (a) g (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 3. Let t be o(-2). Let x(b) = 25*b**2 + t*b - b - b - 2. Let p be x(2). What is the greatest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6036 + 48195\/8. What is the common denominator of f and -91\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 567142 - 34030087\/60. Let q = m + 131\/5. Factor -q*a**4 + 1\/12*a**2 + 0 + 5\/12*a - 5\/12*a**3.\nAnswer: -a*(a - 1)*(a + 1)*(a + 5)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*u**4 + 4\/3*u**2 - 2*u**3 + 0 + 0*u.\nAnswer: 2*u**2*(u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d374 (base 16) to base 5\nAnswer: 31010430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40351 (base 8) in base 6?\nAnswer: 204533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 2*u = 44. Let p(c) = c**2 + 3*c + 6. What is p(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*i**2*z + 10645029*i**2 - 9*i*z - 5495*z wrt z?\nAnswer: 55*i**2 - 9*i - 5495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 77*c + 764. Give z(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 4) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10081*a**4 - 7999*a**3 + 179445830*a**2 wrt a?\nAnswer: 241944*a - 47994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41, 0, 3\/8, -4, -3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*t - 416 + 915 = -865 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -8 - 7. Suppose -3*f - f - 4 = 0, -2*w = 4*f. Let l be (2\/(-3))\/(w\/(-36)). Solve b*h + h = -l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f - 34. Let z(t) = -9*t - 34. Give 7*d(q) - 6*z(q).\nAnswer: -2*q - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(832)*-3*-3 + -3) - (sqrt(832)*2 + -1 - ((sqrt(832) - (sqrt(832) - (sqrt(832) + 2*sqrt(832) + sqrt(832) + 4))) + sqrt(832)))**2.\nAnswer: -7522 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = 39. Calculate the remainder when -5 - ((-5)\/20 - 6\/72*1581) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -406396.82 rounded to the nearest one thousand?\nAnswer: -406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let b(j) = j**2 + 2*j + 13. Let m(d) = -4*d**2 - 9*d - 52. Let f(o) = 9*b(o) + 2*m(o). What is n(f(t))?\nAnswer: -2*t**4 - 52*t**2 - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-15) + (-52)\/(-5). Suppose 4*q = -3*o + 64, 2*q + 4*o - 22 - b = 0. Suppose 4*a - q = 3*s - 51, -4*a + 43 = 3*s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((-1025)\/(-60))*15*60\/(-27)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 770*x - 341. List the prime factors of q(19).\nAnswer: 3, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02701 to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1 + 3 + 0 - 2 + (-2 + 0 + 4)*(2 + 0 - 1) - 6 + 11 + 9)*(6*s + 2 - 5*s - 4*s) to p + c*s and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1035, -1008, -937, -798, -567, -220, 267, 918?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -3. Suppose -2*h = -5*h + q. Let u be (-2)\/((-16)\/66)*4. Calculate the greatest common factor of h and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - 75 + 5*m + 6*m - 4*m.\nAnswer: -2*m - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:57 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106240?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -57, -68, -77?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 14 + -28 + -10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 8:04 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 26*s - 32. Let q be i(-12). Let h be (-3)\/(-2) - (5 + 44\/q). Solve o - 5*w + 1 = h*o, -w - 7 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f - 16. Suppose 3*t = -2*k + 1101 - 3855, 0 = f*t - 4*k + 3692. Let o = t - -1821. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*o**5 - 22*o**3 - 7*o**2 + 31157*o wrt o?\nAnswer: 1760*o**3 - 132*o - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 84, -3\/20, 12662?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 20*k - 33 = 0. Solve -44 = 4*j + k*z - 9, 5*z + 25 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6990415 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1449916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 39 = -10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 8*w**2 + 7*w - 3. Let n be a(-6). Let h(l) = l**3 + 4*l**2 - 6*l. Let f be h(-5). Solve f*p + n = 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 5. Let l be i(-3). Let m = -9 - -11. What is the third derivative of 11*b**m + 1 - 1 - 5*b**3 - 7*b**l wrt b?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2) + -1 + sqrt(8)\/sqrt(4) + sqrt(2) - (5*4*sqrt(2) + sqrt(2)))**2.\nAnswer: 36*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1478 = 3805. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/((-5)\/(605\/33))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 649*x + 2. Let b be r(2). Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 86 = 4*j. Let a be 28\/18*24\/(-28)*j. Solve a*h**3 + 16\/3*h**2 + 4*h + 0 = 0 for h.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.223 - 0.279. Let g = 0.144 - n. What is the third biggest value in -5, 5\/2, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.18 - -6.88. What is l rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 117 = -23*r. Let s(x) be the third derivative of 1\/3*x**3 + 10*x**2 + 0*x**4 + 0 + 0*x + 7\/60*x**r. Differentiate s(y) with respect to y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*(-420)\/(-8). Suppose 2*v + x = -327. Let i = 66 - v. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(160)\/sqrt(90) + (1*sqrt(256) + sqrt(256) - sqrt(16)))\/((sqrt(32)\/sqrt(2))\/sqrt(2)*-2))**2.\nAnswer: 88*sqrt(2)\/3 + 386\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 - 3*l. Suppose -z = 5*a + z + 6, -2*a + 3*z = -9. Suppose -2*v - 10 = a, -5*s + 0*v - 10 = -v. Determine d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(343) + 0 - ((sqrt(1008) - (sqrt(1008) + (sqrt(1008) - (sqrt(1008) + -1*sqrt(1008)))))*6 + sqrt(1008)))*-5)**2.\nAnswer: 10050*sqrt(7) + 785800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -33*a**2. Let o(q) be the second derivative of q**3\/3 + 58*q. Determine o(w(g)).\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 18 + -5 + -3 - (27 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34050 - 33896. Let z(s) = -87*s + 2. Let v be z(-2). Calculate the greatest common factor of v and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*z = -78*z + 20, -5*t - z + 50 = 0. Let q be 12\/t + (-17)\/15. Solve -q*w**2 + 1\/5*w + 2\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.642 minus 3?\nAnswer: 2.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 8. Let s(w) be the third derivative of -w**6\/120 - 3*w**5\/20 - w**4\/24 - 4*w**3\/3 - 6*w**2. Let h be s(-9). Solve a*u + h = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/60 and -157\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edjdddxxe. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -23*c. Let t(k) = -12023*k. Calculate f(t(y)).\nAnswer: 276529*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**3 - 6 + 8 + 5*r + 7*r**2 + 5. Let b = 14 - 0. Let f(p) be the first derivative of p**4 - p**3 - p**2 - 3*p - 46. Give b*f(i) + 6*h(i).\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -20*t**3 + 4*t**2 - 37*t - 53. What is the thousands digit of j(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iixsxeiepoiiieoiix. What is prob of picking 1 p and 1 x?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -68.3. Let w = -4.01858 - -0.01858. What is the nearest to z in -2\/7, w, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 11*l**4\/12 - 2*l**3\/3 + l**2 + l. Let j be n(2). Suppose a - j = -a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 549 = 10*f. List the prime factors of f.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**7\/735 + y**6\/140 - y**5\/70 + y**4\/84 + y**2. Suppose b(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1048, -101 in ascending order.\nAnswer: -101, -2, 1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-1)\/(-1)*0. What is the second derivative of h**4 + 3*h - i + 1 - 6*h wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 20*z**3 - 17*z**2 + 20. Let u(m) = 7*m**3 - 6*m**2 + 7. Suppose -4*y - 3*v - 71 = 0, 2*v + 9 + 10 = -y. Calculate y*u(i) + 6*l(i).\nAnswer: i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.86936m in centimeters?\nAnswer: 5786.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303864481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z - 81*z + 835 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89894569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3432*b - 6869. Let s be x(-2). Let z = 0.2 + 0. What is the nearest to z in 3\/4, -0.5, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-552)*8\/(-3))\/(608\/(-624) - -1)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2 - 230615\/121597.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**17)**(-6\/11) assuming u is positive.\nAnswer: u**(-102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 10*o - 16. Let h be w(8). Let m(u) = -3*u + 5. Let s be m(h). Suppose -f - b = -44 - 370, -s = b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(567) + 3*sqrt(567)*-4)*5.\nAnswer: -495*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(147) + (sqrt(147)*4 - sqrt(147)) + sqrt(147)))**2*3*-1.\nAnswer: -33\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 69*y**2 + 72*y.\nAnswer: -3*y*(y - 24)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*z**2 + 7*z**2 + 5*z - 2*z**2 - 11*z wrt z?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 4*y = 83 + 82, 3*y - 63 = -3*f. Solve p - 64*t + f = -69*t, 14 = -2*p - 2*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 4)*(-b - 3 + 3).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(1122\/(-3312)) + (-2)\/11. Let n be (-3)\/5 - (-230)\/g. Solve 0 = -r + 3*r + n*u + 22, 0 = -4*r - 2*u - 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178239107 and 4373.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1463215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48718223 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let j(s) = -s**2 + 3. Let o(f) = -2*f**2 + 5. Let t(v) = 5*j(v) - 3*o(v). Determine t(d(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -10, -4*m + 4*h + 6 - 26 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/12 + 2*h**3 - 12*h**2 + 47*h - 2. Let l be m(-14). Solve 0*a + 2*j = l*a + 12, 7 = -3*a + 2*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 29. Let o = 16 + k. Sort 5, o, -4 in descending order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/(i\/(i\/(i*i\/(i**(-1\/11)\/i*i))))))*((i**(5\/6)*i*i)\/i)\/i*(i**(-1\/7)*i*i)\/i**4 assuming i is positive.\nAnswer: i**(-1109\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -80*n. Let w be i(-3). Suppose r = -0*r + w. Suppose r = -0*q - 2*q. What is q rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 22. What is the lowest common multiple of 9 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*k - 5*b + 36, 3*b = -6. Is k\/10 + 2429\/35 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)\/j**(2\/3)*((j\/j**0)\/j)\/j**(2\/21))**(-6) assuming j is positive.\nAnswer: j**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -34 + 4\/3*a**3 + 0*a + 0*a**2. Let w(g) = -4*g. Let x(b) = -4*b. Let n(u) = -7*w(u) + 6*x(u). Determine n(j(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 4. Let j be u(2). Suppose 21 = 3*r + 5*o, 2*r + j*o - 19 = o. Find the second derivative of -3*k - r*k + 10*k - 2*k**5 wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193113*p**5 - 75816*p**2 - p?\nAnswer: -11586780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67270667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 12)*(-4)\/(-4). Let k = m - -27. What is the remainder when 18 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 12 = 3*j, 23*b - 5*j + 20 = 29*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/60 + 3*v**2 + 8*v. Let w(g) be the second derivative of -11*g**4\/12 - 2*g**3\/3 - 8*g. Give d(w(n)).\nAnswer: -121*n**4 - 88*n**3 - 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111137.2 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -2*x + z - 38, -17*z + 20 = 17*z - 38*z for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -128585, -4, -1, -122 in descending order.\nAnswer: -1, -4, -122, -128585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -6. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpikpppip. Give prob of sequence ii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4412, -4475, -4638, -4943, -5432?\n\"Answer: -7*g**3 - 8*g**2 + 10*g - 4407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 2 = 5*s. Suppose 5*m = s*m - 63. Solve 5*r + 5 = -3*j - 24, -3*r - m = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36047*j - 76215 with respect to j.\nAnswer: 36047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 13*c**2 - c + 25. Let g be m(-13). Suppose 0 = 6*l - g - 16. Is 12 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let n be (9 - 8)*(2 + -2). Let y = 5.7 + -0.7. What is the closest to n in -0.3, y, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let q(n) = -4*n - 6. Give t(q(d)).\nAnswer: -16*d**2 - 48*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342235, 684467, 1026673, 1368841, 1710959, 2053015, 2394997, 2736893?\nAnswer: 3078691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y**2 - 2115*y + 4238*y - 7*y**3 + 29*y**3 - 2125*y to d*y + l*y**2 + c*y**3 + t and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2057 + -46?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4*w - 6*w)*(1 - 4 + w + 4) + (2*w - 1 + 1)*(-w + 0 + 0).\nAnswer: -5*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8882 - -18242. Suppose 9*s = -s + p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**25*(((y\/(y\/(y*y**(-12))))\/y)\/y)\/y*y assuming y is positive.\nAnswer: y**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 15) to base 5.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {q: 3, j: 10, k: 2, b: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwww when four letters picked without replacement from cwcccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5\/8 - 117*w**4\/8 - 2163*w**3\/8 + 7161*w**2\/8 - 1845*w\/2 + 312 = 0.\nAnswer: -16, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-30))\/(39\/(-50))\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 16*p - 86. Let k be o(6). Solve 11*v = -k*v + 42 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 6*d**2 - 5*d + 2. Let m be a(5). Let o(i) = -2 - m*i**2 - 2 + 4. Let r(q) = -q**2. Determine r(o(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*f - 36, 75 = -4*q - 5*f + 33 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/70*(-30)\/(-15)*975\/130\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6275 - 4043840.3?\nAnswer: -4037565.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01481095056 - 5?\nAnswer: -4.98518904944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2285 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 8) to base 12.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1683981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -278593984 != -278593987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -348 - -346. What is the fourth smallest value in -0.2, -0.06, 0, z, 86?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 3416.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -4*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14858 and 41021?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25 + 4)\/7 + 3. Which is greater: -8\/67 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 120. Let a(d) = -d - 147. Let g(q) = -6*a(q) + 7*y(q). Determine g(-36).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -181806?\nAnswer: 181812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.35 - -1.57. Let u = l + 0.18. Let c = u - -1.42. What is c rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121022000100 + -20000?\nAnswer: -1121022020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-9 - -19 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20991148*z**3 - 42140*z - 9.\nAnswer: -125946888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -36. Let u = 4 - 7. Let h = d - u. Solve -3*f = -w - h, -1 = 2*w - f - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 4\/3 (c) -425 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9150 divided by 10\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*(((v**(-47)\/v*v)\/v)\/v)\/v)*v**(10\/3))\/(v**(2\/3))**48 assuming v is positive.\nAnswer: v**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10593746+2\nAnswer: -10593744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 2}. What is prob of picking 1 x and 2 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699*i**2 - 705*i**2 + 2193*i**2 - 781*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/14 and 53\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 3*i + 2. Let s be h(-3). Let o(v) = 4*v - 2. Let y(n) be the third derivative of n**4\/8 - n**3\/3 - 6*n**2. Give s*o(a) - 3*y(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 + -1?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -36, -4, -0.1, 0.3, 1\/47, 4, -95?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7007076 and 15.\nAnswer: 35035380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-402 - -415) + (-3 - (12 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144446 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*c + 409 - 2650 + 247 - 868 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = -5*q - 46, -20 = -5*h. Let j(p) = -p - 10. Let v be j(q). Suppose 3*f + f = v. Solve f*z + z + g = -1, 2*g = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79685797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*g + 465 = 0, -64 = -h + 2*g + 24. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:34 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5384.25+-26.958666\nAnswer: -5411.208666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172327 = 1725*v + 34327 for v.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/16*((-88)\/(-300))\/(-11)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 11:36 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 4)*(-a**2 + 4*a**2 + 0*a**2)*(-10*a - 20*a - 14*a) as z*a**2 + t + i*a + g*a**3 and give g.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 15840024\nAnswer: -7\/1980003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -2*a, 0 = 4*a + 3 + 13. Let t be (5\/w)\/(1\/(-4)). Let h(n) = 2199*n**2 + 5*n. Let g be h(t). Round g to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**2*n*z**2 + 5374*m**2*n*z + 753*m*n*z**2 - 2*m*z**2 - 5*n - 2 wrt m.\nAnswer: 18*n*z**2 + 10748*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 23. Suppose r + 99 = w*r. Suppose -2*y + r + 11 = 0. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 817*x**3 + 6*x + 7. Let o be w(-1). Let g = o + 1666. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18075, -18065, -18055, -18045, -18035?\n\"Answer: 10*r - 18085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 14*j - 2. Calculate c(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -14. What is the second derivative of 4*o**3 + 3*o**4 - 3*o - a*o**4 - 4*o**3 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/7 - 2322*d**2\/7 + 9330*d\/7 + 11650\/7 = 0?\nAnswer: -1165, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 18 = 30 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1749)\/(-27) - (-4)\/(-18). Let r = z - -71. Solve 2*i - 6*i = -r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10120110002 (base 3) to base 5\nAnswer: -4222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/10)\/(-96))\/(((-1363)\/1880)\/(-29)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**4\/3 + b**3\/2 - 2*b**2 - 50*b. Let w(c) = c. Calculate w(n(a)).\nAnswer: 8*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 - 35 + 38 + 5*w**2 + w - 2*w**4 to the form v*w + a*w**2 + l*w**4 + h + o*w**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 753862*l - 763585*l - 1.\nAnswer: -9723*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36608 - 4.\nAnswer: -36612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 + u**5\/12 + u**4\/4 - 2*u**3\/3 + 7*u**2. Let s be m(5). What is the greatest common factor of 208 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 20*h**5 + 5*h**5 + (4*h**4 + 4*h**4 - 6*h**4)*(-3 + 2*h + 3).\nAnswer: 28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from kiik.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6\/71, -2, -3, 1\/3, -1\/8 in increasing order.\nAnswer: -3, -2, -1\/8, 6\/71, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 768626 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -451 less than -11279\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2013)\/(-61) - 12\/2. Suppose 0 = -d*y + 4068 + 1008. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*q - 335*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1576 = 23*i - 8223. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 4*v - 3*v + (-3*v + 0*v + v)*(178 - 256 - 62) to the form m*v + l and give m.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 472407767\/17440080 - -5\/218001. Let i = -611\/16 + q. Let r = 31303\/12 - 2610. What is the common denominator of i and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 2, t: 6, z: 2, k: 5}. What is prob of sequence bz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*s - 100, 5*s - 34 = -5*v + 61. Let j = 5593\/4 + -1422. Let c = j + s. Sort c, 5, -2 in increasing order.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let j(o) = o**3 - 2*o + 2. Let l(w) = -w. Let k be l(0). Suppose 8*r - 6*r - 2 = k. What is r*n(m) + j(m)?\nAnswer: m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 970 times -4\nAnswer: -3880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 8604. Suppose -2*u = -3*t - 76989, 4*u - t + 99062 - 253065 = 0. Let v = u - q. What is v rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.8 - -179.8. Let p = y + -145.5. Let i = p - -2.5. Sort i, 3\/5, -0.4.\nAnswer: -0.4, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677 is divided by 393?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:43 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -643.055281 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905251620?\nAnswer: 2, 3, 5, 7, 13, 37, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1 - 1 - 2*i**2. Let x(b) = 226*b - 226*b + 3*b**2 + 0*b**2. Calculate x(m(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + s = -62, 0 = -j - 5*s - 14 + 56. What is the first derivative of j*v + 32*v + 26*v + 74 + 18*v wrt v?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824574?\nAnswer: 2, 912287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2371233 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029b (base 12) in base 3?\nAnswer: 2010110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027802 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/9 - 4772*o**4\/9 - 71278*o**3\/9 - 351172*o**2\/9 - 208696*o\/3 - 37936 = 0. Calculate o.\nAnswer: -2371, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/132 and -91\/130856.\nAnswer: 392568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-126))\/((-90)\/189)*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -169180 divided by -1961\nAnswer: 169180\/1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(19))**2 + sqrt(19) + sqrt(152)\/sqrt(648).\nAnswer: -44*sqrt(19)\/9 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (29 + -44)\/(4\/(-8)). Solve 5 = 7*p - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 80 = 3*g + 62, -2*k - 10 = 0. Let w = 88 + g. Let v = -18 + w. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - 1*sqrt(2736)*-3)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3747, -3769, -3905, -4233, -4831, -5777, -7149?\nAnswer: -9025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5)*-14*8\/16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d + p, -3*d + 2*d - p + 1 = 0. Suppose h + 15 = 2*u, u - 3 - 1 = -3*h. Let m be d\/9 - u\/(-9). Which is bigger: 2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 9. Let o be g(-6). Suppose -3*a = -2*c - 2*a + 8, 0 = o*c - 2*a - 12. Solve 2*v + c = 4*m - 6, 0 = v + 3*m + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 2, -393 in descending order.\nAnswer: 2, -0.01, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q + 34. Let i be b(4). Suppose -5 - 25 = -i*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15, 0.478, -2, 1\/7, -4, 2\/11?\nAnswer: 0.478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.022 + -3.078. Let o = -3 - l. Let f = -9600 + 9600. Which is the smallest value? (a) 1\/2 (b) f (c) 5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952100 divided by 5?\nAnswer: 390420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*r - 3768, -586 - 374 = -r + 4*u. Suppose 12 + 8 = 5*x. Is 3\/(x*4\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -70*k - 96. Is x(-14) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 1. Let j be (-934)\/(-6)*(-5)\/(-75). Let n = -53\/5 + j. Which is the closest to n? (a) -4\/3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1804 and -52\/615.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 838 - 313. Suppose -3*i + k = -99. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*k**2 + 1\/2*k**3 - 1\/2*k**4 - 1\/2*k + 0.\nAnswer: -k*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93731?\nAnswer: 11, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361655?\nAnswer: 3, 5, 313, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -498 divided by -6\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1780 by 480.\nAnswer: -89\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrglzvgvvglvzv. Give prob of picking 1 g and 1 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Suppose s + k*s = 0. Suppose s = 4*w - 5*w + 4. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05143 take away -47?\nAnswer: 47.05143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(n - n - 2*n)*(2*n**2 - 5*n**2 + 2*n**2) + (2 + n - 2)*(-81*n**2 + 210*n - 210*n).\nAnswer: -77*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*y + 5, y + 12*n - 10*n = -12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-12)*(-34)\/(-255).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x + 453. Let l be n(27). What is the greatest common factor of l and 6357?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102831 or 102830?\nAnswer: 102831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3238 + -51805\/16. Let p = 71\/124 + -10\/31. What is the third biggest value in p, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69220*z**2 - 34789*z**2 - 34695*z**2.\nAnswer: -264*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6089786.1s in hours?\nAnswer: 1691.60725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 81.37. Let k = n + 0.17. Is 2 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**3 - 2*f**2 - 2*f - 1. Let p be t(-1). Solve -p*i + i = -3*x, -4*i + 2*x = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1157209\/4 or 289303?\nAnswer: 1157209\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1.08363657140455?\nAnswer: -3.91636342859545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25 + 33 + 13 + 11*d - 70. Let i(g) = 4*g - 3*g - 2*g. What is o(i(m))?\nAnswer: -11*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-18))\/(3\/((-27)\/(-6)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/329681 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263 - -366. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6\/11 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)*5)\/((sqrt(16)\/sqrt(2) - sqrt(8))*-6 - sqrt(8)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2 + 3 + 2*k)*((-2*k - 4 + 4)*(4*k - k - k) - 11*k**2 - 64*k**2 - 2*k**2).\nAnswer: -162*k**3 - 81*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Suppose 3*s + 4 - 16 = -3*u, -3*u - s + 10 = 0. Let z be r - -1 - u\/(-3). Solve 2*g - g = z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14047095511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2345*c**3 - 31*c + 26*c**4 - c**5 - 24*c - 2289*c**3 - 24 + 2*c**2 - 4.\nAnswer: -(c - 28)*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95 - 3) + 34 + -19 + 0 + -1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 - c - 8. Let w be k(0). Let j = w + -3. Let i = -7 - j. Solve -2*a = -r + 4, 0*a - i*r = 5*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 208. Suppose -5*z + j = 3*z. Suppose -r + z = u, r - 3*r = 0. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 7, 15, 25, 37, 51, 67?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1459*c**2*j**2*q + 2*c**2*j + 6660*c**2 - 2*c*j**2*q + j**2 wrt q?\nAnswer: 1459*c**2*j**2 - 2*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 9, u: 2}. Give prob of sequence twut.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3837\/118 - -294\/59. What is the common denominator of d and -61\/728?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 45*u - 160. Calculate j(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**5\/30 - w**4\/24 - 2*w**3\/3 + 7*w**2\/3 - 8*w\/3 - 93. Factor p(z).\nAnswer: (z - 2)**2*(z - 1)*(z + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.309904 + -25.278604. Let k = 25 + j. What is k rounded to three decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 + 6*b - 9. Suppose -3*p - 9 = -3*x, 0*x = 3*x + p - 29. Let c be s(x). Is (-2 - (0 - -2)) + c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -i + 90, 580*i - 96 = -3*g + 584*i. What is the greatest common factor of g and 3576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 1079. What is the hundreds digit of r\/8 + 24\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g. Let c(w) = -1 + 2*w + g*w - 1. Suppose 4*k + k = -4*n + 2, k - 1 = -n. What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101 - 20210302?\nAnswer: -20220003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105207049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -240 + 639?\nAnswer: 3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 2, u: 4, x: 2, t: 4, r: 1}. What is prob of picking 1 x and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 29316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 60.33746um?\nAnswer: 0.006033746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 10*d**2 + d + 12. Let b be j(-10). Suppose 22*s = -s - b*s. Solve s*c + 0 - 4\/5*c**3 - 1\/5*c**2 - 3\/5*c**4 = 0 for c.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49064 times -2.1\nAnswer: 103034.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6 - 0, 0 = -4*i + 3*m - 10. Is (-12 - i)*-5 + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124361202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 35. What is the units digit of o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.42 - -7.12. Let t = k - 5.3. What is the second smallest value in -2\/7, -1\/7, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 1. Calculate n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1697*a + 238661. What is i(-141)?\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 426 = 2*o. Suppose -5*p = 28 + o. Let s = 48 + p. Solve -2*a = -0*a - 5*b - s, b = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 4. Let k(x) = 7*x + 7. Let r(y) = -3*k(y) + 5*t(y). Let u be (0 + 0)*-1 - 1. Let c be r(u). Solve 20 + c = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 + 14*x + 5. Suppose -4*b - 4*v - 24 = 0, -79*b - 21 = -75*b + v. Let k(t) = 6*t**3 + 21*t + 8. Give b*k(a) + 8*m(a).\nAnswer: 2*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 10*a = -12. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 13*z + 18. Let c be h(-14). Find the third derivative of -3*l**c - 3*l**2 - l**2 - l**4 wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c - 4*c)*(774*c - 132*c**2 - 774*c).\nAnswer: 396*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 + 0.5. Which is the third biggest value? (a) u (b) 1\/2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.4, -2\/47, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h - 4635357*h**2 - 59*h.\nAnswer: -4635357*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204363*h**2 + 903093408*h - 997707148032.\nAnswer: -3*(261*h - 576688)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/3 + (3 - -53)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8815 + f**2 - 17629 + 8814.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19407043 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2247*t = -2252*t - 5*s - 25, 3*t + 2*s + 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -264994 in -4, -1, -4\/7, 9\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -952345 divided by -2411.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -32. Let w(a) = 11*a. Let j be w(o). Let y(v) = 2*v**2 - 44*v + 17. Let f be y(j). Calculate the highest common factor of 68 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0293284 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/7, 1, 5, 2, -21, 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1195 + -546. Calculate the remainder when m is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.11 in -2\/11, 0.0417, 2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 + -147.3. Let t = -424\/3 + 140. Sort 0.4, p, t in increasing order.\nAnswer: t, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 12:54 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:03 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7387.4 * -0.5.\nAnswer: -3693.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-36) + (-86)\/(-8). Let y = w - 6. Suppose s + y*v + 1 = 73, 338 = 4*s - 5*v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2. Let f(b) = 62*b. What is u(f(k))?\nAnswer: 53816*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 220. Let o = v - -152. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -99*u + 90. What is the hundreds digit of b(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 3*n**2 + n - 3. Suppose -2*v - 5*d = 19, -v - 4*d - 8 = 3*v. Let c be x(v). Solve -3*z = -5*q - 14, z - 2 = q - c*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10027, 92, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*g - 2237 = -2269, -5*r + 5*g - 45 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 15*g - 6. Suppose o = 3*k - k - 23, -3*o + 4*k = 63. Let w be v(o). Suppose -25*j + w*j + 6 = 0. Sort j, -1, 4 in ascending order.\nAnswer: j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898.5 times -0.2\nAnswer: 179.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-17\/3)*v*v)\/(v**23\/v))**(-35) assuming v is positive.\nAnswer: v**(2695\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -33. Suppose 12 = 3*y + p. Suppose s - 47 - y = 0. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 6\/(-9). Suppose 2*d - 7 - 7 = z. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*s - 3*i + 16, -s - 2*i = -11. Solve s + 1 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3699 + 50*u - 3764 - 23*u)*(2*u + 5 - 5).\nAnswer: 54*u**2 - 130*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462482666 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 306 or 2?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by 5809?\nAnswer: -122\/5809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.05515 rounded to the nearest 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3\/7 + 3903*u**2\/7 - 158505*u\/7 - 162411\/7 = 0. Calculate u.\nAnswer: -1, 43, 1259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 3:25 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2 - 5*w + 3*w + 0 - 5. Let o be u(-5). Suppose -4*z = -l + o*l - 12, z = 3*l - 4. Is 0 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 369\/27 - (-144)\/(-12). Let h = -5 + 5.09. Which is the closest to 0? (a) -3 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46256)\/(-2065)*(-20)\/14 + 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133978 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**11)\/c))**27 assuming c is positive.\nAnswer: c**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-38)\/k*k*(k**(-8)\/k)\/k)\/(k**(2\/125))**(-1\/35))**(3\/5) assuming k is positive.\nAnswer: k**(-629994\/21875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.595995765 to five decimal places.\nAnswer: -1.596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -3362*c**2 + 31*c - 106. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -6)*(0 + 1) - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 11601, -1\/3, -2 in decreasing order.\nAnswer: 11601, -1\/3, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1*-2)\/(-1))\/(-7). Suppose 3*g + 4*f - 40 = 0, 2*g - 63 = 3*f - 8. Let l(k) = k - 18. Let u be l(g). Put u, -3, z in decreasing order.\nAnswer: u, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*z + 24, -5*z + 9*z - 24 = 2*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 - 12*r**3 + 32*r**3 - 11*r**3 - 3*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eere when four letters picked without replacement from {r: 5, e: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6263220915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 + 2 = 0. Suppose 2*q = -5*b - n, b + b = 4*q - 4. Let m(y) = 4*y - 6*y + 7*y - y - 4 + 7. Give m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 28 = 8*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.0559.\nAnswer: -0.02795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {o: 1, c: 2, a: 1, w: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 - d. What is the remainder when 32 is divided by k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = o - 4, -5*s + 3*o = 15. Sort s, -2\/3, 3 in descending order.\nAnswer: 3, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1 - (-1 - 0 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/810 and -91\/1080.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide -1 + -1 - (1 + -257 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 7. Suppose j*v = 28*v + 70. Let s be (-6)\/v + (-11)\/(154\/(-3536)). What is the highest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Let x = 5.5 + -5.2. Let m = 0.1 - 0.2. What is the second biggest value in c, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81 - (-458762)\/(-5665))*(0 - (0 + -1))\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1042 * -109\nAnswer: 113578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (-14 - -12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*b - 221*b + 118705 = -4*n, 3*n = 6. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -12) + -45 + 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/l**(-21))\/((l**(-18)\/l)\/l**(7\/9)) assuming l is positive.\nAnswer: l**(448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-4))\/((-14)\/308*-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 2*d - 2*d)*(d + 1 - 1 + (d + 4 - 4)*(0 + 1 + 1) + 125*d - 61*d - 61*d).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -56647 bigger than -283232\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 39*v - 47. What are the prime factors of d(15)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*o = 20*o - 521430. What is the least common multiple of 15 and o?\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 244*a - 240*a - 15, 0 = 3*k + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158172633 is divided by 4867.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266*t**2 - 2505*t + 2505*t)*(4*t**2 + 32*t**3 + t**2 - 23*t**3).\nAnswer: -2394*t**5 - 1330*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 20 = -3*o, 14*i - 12 = 15*i + 4*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 10*i - 17. Let l be b(-13). Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 258, 277, 314, 375, 466?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-280))\/(48\/(-80))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-5)\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*s**4 - 855*s**3 - 4*s**2 - 4*s**5 + 379*s**3 + 0*s**4 + 4*s**2.\nAnswer: -4*s**3*(s - 17)*(s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 204.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 8. Suppose -2*x = -4*l - 20, 0 = -152*x + 151*x - 4*l + 4. Which is the closest to x? (a) -3 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * -4.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*i + 3*k - 6, -3*i - 5*k + 3 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2222 and 97970?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-12)\/9)*-18. Suppose n*k = 50492 + 1108. What is k rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let o(q) = 3*q**2 - 4*q + 2. Let p(j) = -2*a(j) + o(j). Let z be p(4). Suppose -3*y + y + 18 = 4*c, -4*y - z*c = -30. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13.42 or -1\/215?\nAnswer: -1\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/58*(-12)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 32072500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -778579, -778583, -778589, -778597, -778607?\nAnswer: -778619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 5 - 5*l + 3*l**2 - 10 to p + a*l**2 + u*l and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14224 and 6398.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtdidtdjddddriitrit. What is prob of picking 1 d and 2 r?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 - 3*k. Let i = -7 + 10. Is p(i) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, 1.1, -0.5, 0.4, 2\/7, 28080?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 10*b**2 + 10*b - 16. Let o be p(-11). Let t = 0.09 + -10.09. Let l = t + 15. Sort -3, o, l in increasing order.\nAnswer: o, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3154, 5, 60\/53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let r(d) = -94*d + 392085. Determine q(r(m)).\nAnswer: -94*m + 392085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:24 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 774177090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-144)\/324?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17177?\nAnswer: 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**3 - 8*u. Let s(a) = a**3 - a. Calculate j(c) - 10*s(c).\nAnswer: 4*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-4*z + 6*z - 4*z + (-5 + 5 + 1)*(-4*z - 2 + 2)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3696765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5 = -5*h, -4*y - h - 9 = 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5 + 4*o**3 + o + 2*o**3 + 0*o - 6*o. Let c(u) = -7*u**3 + 6*u + 6. Let k be (-1 - -4)\/(2\/(-4)). What is k*z(i) - 5*c(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98504757797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 3*j**4\/4 - 2*j**3\/3 - 3*j**2 + j - 22. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipirpirrrrpripii. Give prob of sequence pr.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -65c1 (base 16) to base 12\nAnswer: -130a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -j - 10, 16*j - 10 = -4*b - 26*j + 36*j for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -84. Let q = n + -49.7. Let h = -3.5 - -0.5. Which is the nearest to -0.2? (a) -4 (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/7, -4\/3 in ascending order.\nAnswer: -4\/3, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7507 - 1823 = -136*t - 436 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*n + 989134 + 170148 - 193266. List the prime factors of n.\nAnswer: 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j + 0*j)*(11 - 28 - 12) - 32*j + 3*j**2 + 32*j.\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -75*b + 66*b - 48, 0 = -5*b - 5*x - 80 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*h - 6 = 177*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/156)\/(14\/182)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from ffvwwwwfffv?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 76?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1535 - 0.8535. Which is the nearest to 6? (a) -0.2 (b) x (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-1\/4)))\/b)**13 assuming b is positive.\nAnswer: b**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7536801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:11 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((225\/(-10))\/(-3))\/((-21)\/7)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620 divided by 12?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 50. What is the highest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 34 - 4*n**2 - n**3 + 8*n**2 + 33 + 2*n**4 to the form v*n**2 + p*n**3 + m*n + d*n**4 + c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/53 (b) 5\/43 (c) 17 (d) -5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*r**2 - r**3 - 142*r**3 + 319*r**2 - 111*r**2 - 104*r**2 + 12 wrt r.\nAnswer: -429*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -187*f**2 - 3*f - 508. Let z(q) = -93*q**2 - q - 170 + 106*q**2 - 75*q**2. Let y(s) = 4*t(s) - 11*z(s). Differentiate y(j) with respect to j.\nAnswer: -132*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*r**3*u**2 + r**3 + 27*r**2 + u**2 with respect to u.\nAnswer: -20*r**3*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 105*o + 7. Let l be z(-1). Let b = l - -284. Calculate the remainder when b is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 2. Let x(b) = 5*b + 199. Let a be x(-23). Suppose a = -2*p + 74. Determine f(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, d: 1, q: 1, g: 3}. What is prob of sequence ngn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.55776 weeks in hours?\nAnswer: 8157.70368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(0 + 1\/(-15)). Suppose -5*f = -4*f + w. Let x = -11 - f. Solve -x*q - 9 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w = 24*w + 18. Let i(v) = v**2 - 7*v - 6. Suppose 6 + 2 = t. Let n be i(t). Solve -w*y - n = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n)\/n)\/n**(-6)*(n*n**13*n*n)\/n**3 assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, e: 5}. What is prob of picking 1 p and 1 e?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)**40\/(f\/(f\/f**(-5\/3))*f*f\/(f**3*f)) assuming f is positive.\nAnswer: f**(-229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 1. Let n(q) = -33*q**2 + 8. Calculate n(f) + 6*r(f).\nAnswer: 9*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -17*c**2 - 1698. Let z(v) = -31*v**2. Determine d(z(k)).\nAnswer: 1054*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 4:16 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -490 - -500. Suppose 3*d + 6 = -c, r*c + d = 9*c. Solve -h + 1 = 0, -2*w - 5*h = c - 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 3. Let x = 8 - b. Let f be (-12)\/(x - 33\/(-18)). Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/2 - 6*p**2 + 31*p\/2 + 21 = 0.\nAnswer: -14, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -9\/2*l**2 - 1\/2*l**4 + 1\/3*l**3 + 0 + 1\/20*l**5 + 22*l. Calculate g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -8*p - 11. What is the hundreds digit of (p + 324)\/(-38 + 39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7866 and 137\/37123518.\nAnswer: 2116040526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 85 = -59. 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: What is the biggest value in 5\/16, 12, 5, 2\/11, -2\/7, -3\/11?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from jjqjqjjjjjjjjjjjjjj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*t - 5 - 11, 5*a = 2*t - 26. Suppose -f + 2*f = -t*b - 6, 1 = -b. List the prime factors of 0 + (-18)\/f + 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/325 (b) 1047\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.259 * -4.\nAnswer: 1.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8*b = 5*b + 17, 0 = -3*q + 5*b + 17. Put q, -4, -2 in decreasing order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 56961 = 9765. Let m = v + 78282\/5. Let k = 76 + m. Which is the smallest value? (a) -0.3 (b) 1\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0289986 rounded to 3 dps?\nAnswer: 1.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18120 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2387 - 2387. Let u(h) be the second derivative of 7\/2*h**2 + 9*h - 9\/20*h**5 + 0*h**3 + 0 + w*h**4. What is the first derivative of u(d) wrt d?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339605.\nAnswer: 5, 7, 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1713 smaller than -5141\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 4*r + r + (-3 + 0 + 2)*(2*r + 0 + 0) - 4*r + 3*r + 4*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 + -2 + 7\/(1\/(7 + -8)). Sort 2, -4\/19, d, -2\/3 in increasing order.\nAnswer: -2\/3, -4\/19, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 20. Suppose 5*p - z = -0*p. Suppose 179 + 33 = p*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**(-15)\/(((((g*((g*g**0\/g*g)\/g*g)\/g*g)\/g)\/g*g*g)\/g)\/(((g\/g**(-2)*g)\/g)\/g))*((g**1)**(-6\/31))**(-3\/10) assuming g is positive.\nAnswer: g**(164\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/3 + 824*b**3\/3 + 75072*b**2 + 6703488*b - 28032768 = 0.\nAnswer: -276, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-2 + 87\/84). Let t = x - 5\/4. Let u be (-2 - 16\/(-10))\/(-1). What is the closest to u in 1\/5, t, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/(5\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -7.5.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340752 - 340751 + 1022263 - 7*n**3 - 340760.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6990 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 17. Let y(a) = 4*a**3 - a**2 + a. Let i be y(-1). Let r be j(i). Put -5, r, -4 in descending order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-7))\/((-24)\/2100*-5)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)\/(s*s\/(s**5*s)*s)*s\/(s**1*s*s)*s*s**(1\/13) assuming s is positive.\nAnswer: s**(-64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 3.1. Let b = 1 + -0.8. Let i = -0.7 - -0.2. What is the smallest value in i, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose -p + 3*w = w - 78, 0 = -a*p + 4*w + 236. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m - 1139. Let u(w) = -3*w**2 - 25*w. Give u(f(s)).\nAnswer: -108*s**2 - 40854*s - 3863488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(2\/(-76)). Suppose 4*u - 75 = -c. Let p(k) = 3*k**2 + 4*k + 3. What is the remainder when p(4) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 15. Solve 5*n - n + 20 = f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 411*j**2 + 18*j - 29. Is 8 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1051\/96 + 23\/480. Calculate the common denominator of 35\/3 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-1)\/(3\/(-3))). Let o be 2 + (-1)\/2*2*-3. Suppose 0 = -o*w - d*t + 70, -20 = 5*w + 2*t - 78. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/108)\/((-3)\/27)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12922808501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**5 - 4*q**4 - 736*q**2 wrt q?\nAnswer: 60*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7517, -15113, -22787, -30539, -38369, -46277, -54263?\nAnswer: -62327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 3. Suppose 0 = 4*p - 7 - 13. Suppose -2*s - p*q = -43, -2*q + 2 = -2*s + 2*q. Suppose -x - 5*g + 12 = -s, 5*g - 37 = 3*x. Calculate y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -12. Let g = -33 + r. Let v = -16.25 - g. What is v rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146863876 divided by -146863876\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6*g - 272 = 30*v + 366, -v - 8*g = 15 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4634\nAnswer: 3\/4634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 o when four letters picked without replacement from oorrroooroo?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -10 + (-2 - -2 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5087, -5083, -5077, -5069, -5059?\n\"Answer: b**2 + b - 5089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -81 - 6 - -79?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -7*d**2\/2 + 193*d - 1. List the prime factors of f(0).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1083 - 1083 - 20*z. Calculate b(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:35 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/26)\/(1\/1). What is the biggest value in 2\/13, o, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 h when three letters picked without replacement from vhvhhhggvvhghvhh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 2 - f**3 + 2*f**3 + 0*f**3 + 3*f + 1. Calculate v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*a - 4 = -107*a. Let n(m) = 409*m**2 - 816*m**2 + 431*m**a. Let y(i) = i. Determine n(y(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-6)\/(-12)*-1. Let -1978*u - u**l + 10 - u**2 + 1970*u = 0. Calculate u.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -16*y**5 + 18504*y**4 + 314941479*y**3 - 679319043451*y**2 - 339718572096*y - 42467281920 = 0.\nAnswer: -4795, -1\/4, 2976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 244464819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1831804*m**3 - 30*m + 59841.\nAnswer: -10990824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 7:20 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/32)\/((-15)\/90).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1899 - -5520. Is 71 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/(2\/20). What is the first derivative of -o*u**3 + 0*u**3 - 2 + 3*u**3 wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/8 + 17*g**3\/6 + 12*g**2. Find the first derivative of v(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2 plus -11567906?\nAnswer: -11567884.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrf when three letters picked without replacement from {f: 2, r: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37\/30877 or 0?\nAnswer: 37\/30877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2. Let y be -97*((-2)\/1 - -1). Let d(s) = 95*s - 192*s - 111*s**2 + y*s. Determine h(d(p)).\nAnswer: 24642*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/230 and -1\/490.\nAnswer: 11270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12332 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2*(-4)\/(-152)). Let m(t) = t**3 - t**2 - t + 1. Let y be m(-2). Let b = z + y. What is the remainder when 19 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71518187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 10*h + 14. Suppose 0*t = -2*u - 4*t - 36, 5*u + 2*t = -74. Let f be -3 + 12\/4 + -2 - u. Is a(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*7\/(-196)*-5*(-3)\/(-5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194599 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: Rearrange 3*x - 4*x - 84 - 171*x**2 + 673 + 165*x**2 + 14 to f*x + w + d*x**2 and give w.\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = o - 3*o. Suppose -5*t + 10 = 0, 4*p - 5*t + o = -4. Find the second derivative of 2*y + y + p*y + 3*y**5 wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 123. Suppose -2*h + g + 15 = 0. Suppose 3583 + 29 = 103*q + 7. Calculate the greatest common divisor of h and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 975\/52. Suppose -8*w - 95 = -3*w. Do w and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1075212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*g - 32 = 0, -2*o + 8*g + 16 = 3*g. Suppose o = -4*u + 8*u. Solve -w = -u - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -34 + 0*l - 6*l + 16*l - 6*l. Let s be q(10). What are the prime factors of (1 + (-26)\/s)\/((-4)\/132)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -3*f**4\/2 - f**3\/3 - 2974*f**2. Calculate s(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26850 by 75.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3397, 13596, 30567, 54292, 84753, 121932, 165811?\nAnswer: 216372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 8*w - 24. Calculate a(17).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/((-558)\/81 - -7). Let w be m - -1 - ((-14)\/(-18) - 3). What is the closest to 1 in w, 5, 3\/4, -3\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-429)\/110*(-15)\/(-36) and -45\/83?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let i(w) = -4 + 3 - w - 4*w + 2*w. Let b be i(-1). Let d(j) = -3*j + 6*j - b*j - 2*j. Give u(d(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/12*(-16)\/6. Let o(r) = r**2 - 11*r + 15. Let k be o(w). Let q(x) = x**2 - 6*x + 4. Let d be q(k). Are -2 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590463786 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844137 is divided by 319?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -306889, -611497, -916105, -1220713?\n\"Answer: -304608*k - 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -508*i + 12*i**2 + 20*i**2 + 175*i + 168*i + 168*i to u + j*i**2 + g*i and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 568 * -0.0217181\nAnswer: -12.3358808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 139 - 146 - 59)*(2*k**4 + 2*k**3 - 2*k**3).\nAnswer: -688*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*i + 5 = 0, -107 = -28*t + 27*t - 47*i for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -46*a**4 + 15*a**3 + 98*a - 5. Let f(d) = -3*d**3 + d + 1. Let y = -136 - -141. Let h(g) = y*f(g) + c(g). Find the second derivative of h(u) wrt u.\nAnswer: -552*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/112 and 86\/4*(-6)\/(-152)*50\/(-75).\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-2\/3)*v)\/v)**15\/(v\/(v*v*v*v**2))**42 assuming v is positive.\nAnswer: v**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 + 3025*n + 214430 = 0.\nAnswer: -523, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377062371 by -1995039.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213510.3 - 48.87156?\nAnswer: 1213461.42844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 4:12 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43172 + 43174. What is the closest to -1\/67 in -3, i, -0.03, -0.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtd when three letters picked without replacement from fddffffdtddddffftt?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6626879 divided by 2.\nAnswer: 6626879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {w: 4, e: 3, d: 1, b: 1, h: 4, i: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 747307 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-3199)\/(3 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 4*m**2 + 3*m**2)*(8*m**2 - 15*m**2 + 15*m**2 + (-2*m + 0*m + 4*m)*(-4*m + 9*m + 3*m)*(0 + 2 + 0)).\nAnswer: 80*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*o - 8, 0 = 3*o - 0*g - 3*g - 9. Find the first derivative of 4*j + 0 - 3*j + j - o wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -769269900 rounded to the nearest 100000?\nAnswer: -769300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 0.071?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4 + 48*x**3 + 168*x**2 + 160*x = 0. What is x?\nAnswer: -20, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -405.79 + 405.756659. What is k rounded to four decimal places?\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*r**5 + 82*r**5 - 34*r**5 + (3 + 0 - 4)*(-2*r**4 - 3*r**5 + 2*r**4).\nAnswer: 86*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*c + 19, -2*c + c - 5*b - 23 = 0. Let p be (-600)\/(-80)*48\/(-10). Let z be (14\/7)\/(c\/p). Is 24 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.849 + -27. Let r = -1.67 + n. What is r rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:54 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/311791 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3594136\/780 + 2\/15. Suppose j = 139*t - 130*t. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 105, -1.02, 19\/5?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-464)\/870)\/(4\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547249.78 rounded to the nearest one hundred?\nAnswer: 547200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 14371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*o + 79 - 14, -35 = -5*o + 5*a. Suppose 0 = -0*r - 3*r - 3*m + 3, -m = -2*r + 11. Suppose -w + r*w = o. Solve p + w = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 93, 147, 207, 273?\n\"Answer: 3*b**2 + 39*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -222\/11? (a) 0.4 (b) 1\/2 (c) 58\/3 (d) 9 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5129*g + 11438?\nAnswer: 5129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95491 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20521\/6 - 564128\/165. Find the common denominator of u and 83\/760.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.785448 rounded to 3 dps?\nAnswer: -0.785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12225 divided by -1732.\nAnswer: -12225\/1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28749581 or 28749593?\nAnswer: 28749581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -14. Sort 5, -3, a in ascending order.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h - 7. Let b(t) = -5 - 42*t + 3 + 41*t + 3. Let f be 2\/(-9) - ((-58)\/18 + 4). What is f*z(c) - 6*b(c)?\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-119 - 1)\/((-24)\/128) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**3 - 9*h**3 + 27*h**3)*(5*h**2 + 0*h**2 - 3*h**2) - h**5 + 3*h**5 - 3*h**5.\nAnswer: 55*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2220 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 6 + -12 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 7) to base 9\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1468 - -1477. What is the remainder when 439 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(117).\nAnswer: 5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2) + 3)*(-4)\/(-3). Let x be (54\/(-15))\/m - (-1)\/(-1). Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175705\/76 - -27755\/12. Calculate the common denominator of m and -37\/570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 - 19b5167?\nAnswer: -19b5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356568816 by -4.\nAnswer: -89142204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38*18\/855)\/(5\/(-150))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 108 = 3*u. Let j be (-21)\/28 - u\/8. Let m = -0.46 - -1.46. Put m, j, -5 in descending order.\nAnswer: m, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 19, 8, -1, 7 in ascending order.\nAnswer: -2, -1, 3, 7, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*8 - ((7\/(-21))\/(1394\/(-4386)) - -7)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4059 to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) 3 (b) 9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50994818 - -1044016908456\/20473. Let b = -9595\/922673 + -3\/2659. Let o = d + b. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33 and -43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2138\/5 - -8597\/20. Solve l*o + 0 + 3\/4*o**3 - 3*o**2 = 0 for o.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let h = -143 + 148. Solve -4*v + c = h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2, -4*y = i - 4*i + 88. What is the remainder when i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-8)\/(-96)). Let p be -1 - ((-8)\/2 + 0). Suppose -2*t = -p*t + b. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/153235905 and 73\/153235905.\nAnswer: 153235905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/3)\/((-16)\/3 + 5). Let n be 5\/(-2)*(-54)\/l. Let u be (-2)\/(-9) - (-2 - 21\/n). Solve -3*o - 4 = 4*k + o, -u*k - o = 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 15*s**2 - 10*s + 152. Determine t(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n + 8*n + 38. Let o be ((-1496)\/24 + n\/6)\/(-2). Which is smaller: 31 or o?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4848*l**4 + 351 - 1727*l**4 - 2*l - 2531*l**4 wrt l.\nAnswer: 7080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -77\/4473176 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34660465.\nAnswer: 5, 7, 19, 52121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-15) + (-49)\/(-280). Let w be -1 + (2 + 1 - 1). Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000572405 to 5 decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38255, -38347, -38435, -38519, -38599, -38675, -38747?\n\"Answer: 2*k**2 - 98*k - 38159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*r - 3*r + 23 = 0, 0 = -2*y + 3*r - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15394440.\nAnswer: 2, 3, 5, 128287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 9*i - 44*i. Suppose 2*x - 13 = -3*q, -3*x + q - i + 5 = 0. Put 0.5, 0.4, -4, x in ascending order.\nAnswer: -4, 0.4, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.247 + -0.843. What is h rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33303 - 10?\nAnswer: 33233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 2453?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 13*m**2 + m - 11. Let z be p(13). List the prime factors of 55\/z*28\/35.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpvv when four letters picked without replacement from pvvpd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {w: 2, e: 5, m: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 724 and -1.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137 or -138?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100211 + -10302?\nAnswer: 2023303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -457 - -1769. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 199317*w**2\/2 + 9935104536*w - 655282858824.\nAnswer: (w - 199284)**2*(w - 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 87*f + 8757. Let x be t(-47). What is the greatest common factor of 72 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03312 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(2*4\/(-1))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169460 or -11353918\/67?\nAnswer: -11353918\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/120 - w**5\/12 - w**4\/4 - w**3\/3 - 6*w**2 + 104. Give d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 25\/((510\/30)\/(-17))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose -3*j = f - 43. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-33))\/(10\/15). Let l be (3 + -1)\/(4\/(-10)). Which is the third biggest value? (a) -2 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/6 - 207\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 12798.\nAnswer: 1\/12798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 - -11)*(-14394)\/(-12)?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-76) + (6\/3 - 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -64, -2, -25, 5 in descending order.\nAnswer: 5, 1, -2, -25, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h + 124. Give q(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + 2. Let g = 74 - a. Sort g, 2\/11, 4, 0.06 in decreasing order.\nAnswer: 4, g, 2\/11, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/5)\/((-2)\/(-5)). Suppose 3*n = -3*z + 39, 339*n = -10*z + 337*n + 18. Which is the closest to z? (a) f (b) -1.4 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416702 is divided by 766.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*c**4 + 3*c + 0*c**2 - 4*c + 2*c**2 + c**4 + 3*c**3 to the form t*c**2 + r*c**4 + m + z*c**3 + k*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 1287*x**4\/2 + 4776*x - 3134. Find the first derivative of v(y) wrt y.\nAnswer: 7722*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 2277930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 13 + 17*f + 0*f.\nAnswer: 9*f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 15 = -p, 2*r - 8*p + 7*p = -36. Sort 3, -16, r in increasing order.\nAnswer: r, -16, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 5*o**2 - 7*o + 6. Let d be u(6). Let p = 8.57 + 115.03. Let x = p + -125.6. Which is the third smallest value? (a) -3\/5 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1635.1 * -0.22.\nAnswer: -359.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(8 - 5 + 9)*(y**2 - 2*y**3 - y**2).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132904, 133375, 133836, 134281, 134704, 135099, 135460, 135781?\nAnswer: 136056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7164096.\nAnswer: 2, 3, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 120 = -12*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:07 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 33*b + b**3 - 3*b**2 - 6*b + 46 to o + z*b**2 + f*b + k*b**3 and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111000314 (base 5) in base 16?\nAnswer: -42ff35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 28936*c + 57880.\nAnswer: -2*(c - 2)*(c + 14470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -13*d - 2*d**2 + 15 + 7\/4*d**4 - 7\/3*d**3. Find the second derivative of v(h) wrt h.\nAnswer: 42*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102126 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2 + 203302*w - 1626288 = 0.\nAnswer: 8, 101643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 627\/2 (b) -1\/17 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 3600922*r\/11 - 169247752\/11.\nAnswer: 2*(r - 47)*(r + 1800508)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23206, 46275, 69344?\n\"Answer: 23069*p + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19888, -19904, -19938, -19996, -20084?\n\"Answer: -j**3 - 3*j**2 - 19884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 + 4*x**2 + 4. Give u(3).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1.2, -1999, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13 - 13 + 2*h. Calculate the remainder when r(3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -14*r - 119. What is the remainder when 38 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 14\/3 (b) -2\/9 (c) -0.06 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/12, -5, -0.29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -72, -81, -82, -69, -36?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 1, t: 1, a: 2, b: 1, w: 2}. Give prob of sequence waw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 12. Let a be r(4). Suppose 5 = 2*i - 5*u - a, -2*i = 4*u. Solve i*z = -0*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 75. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 625.9 - 626. Is t greater than -7\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725, -1435, -2145, -2855?\nAnswer: -3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 5*z + 28590, 3*g + 42904 = -2*z. Round g to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033 minus 667722?\nAnswer: -667721.9967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.24613 + 1116.45387. What is k rounded to the nearest ten?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1625 + -2304. Let r be (-1 + b)\/((-5)\/50). What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38, -17, 6, 31, 58, 87?\n\"Answer: m**2 + 18*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128592300 to the nearest integer?\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-477 - 2241*c + 966 - 3889*c - 489)*(0 + 2 + 3).\nAnswer: -30650*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1037*i**2 - 17633*i + 6. Give c(-17).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8655*x - 7. Let y(j) = -3366864*j - 2724. Determine 2724*g(m) - 7*y(m).\nAnswer: -8172*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 1\/70*b**7 - 1\/2*b**3 + 0*b**5 + 0 - 2*b**2 + 0*b**4 + 0*b**6 + 0*b. Differentiate s(d) with respect to d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-1)\/(-12)*4. Suppose 5*r + 117 + 148 = w. List the prime factors of (-4)\/(4 - 8) - r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05194 + -4.\nAnswer: -3.94806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2015?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 59782*l + 31 + 74129*l.\nAnswer: 133911*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z + 2*i - 0 - 9 - 10 - 4, 15*z + 46 = i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 87*a**2 + 2. Let y(w) be the first derivative of 9*w**2\/2 + 1501. Determine q(y(l)).\nAnswer: 7047*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = -3. Suppose 2*h + 13 = 3*h. Let n = h + -8. Sort d, -4, n in descending order.\nAnswer: n, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*i**2 - 101*i**2 - 134*i**2 - 99*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*q + 101165, 10*q - 4*q - 3*a - 121434 = 0. List the prime factors of q.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, 1\/2, 1\/65?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*l + 57*l - 274980. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 - 48315*p**4 + 9*p**2 + 48309*p**4 + 7*p**2 + 44*p**3 - 460*p = 0 for p.\nAnswer: -3, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 62106*f**3 - f - 2*f.\nAnswer: 62106*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 13*z + 88 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 6. Let r be k(6). Suppose m - 16 = 3*h, -2*m - 13 = -869*h + 872*h. Sort -1\/5, h, -8, r in descending order.\nAnswer: r, -1\/5, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*w**2 + 12*w - 12*w.\nAnswer: 959*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 28. Let p be (-8)\/(-20) - (-1)\/(5\/(-57)). Let g be v(p). Let b be ((-2)\/g)\/((-20)\/(-300)). Solve 0 = -d + b*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 937, 3521, 7827, 13855, 21605, 31077?\n\"Answer: 861*z**2 + z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1768047205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 1\/(28\/(-16))*(-6)\/(-36)*-105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10603 divided by 3\nAnswer: 10603\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -16*l**3 + 11539*l**2 - 2092*l - 51194. What is w(721)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 2.2384.\nAnswer: 33.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -988748, -988747, -988746, -988745, -988744?\n\"Answer: b - 988749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sksskssskskk. What is prob of picking 3 s and 1 k?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.4 and -6857903.\nAnswer: 37032676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.044 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 506154\/(-3894) + (214 - 84)\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 2*j - 1. Let h(m) = 9*m**2 - 636*m + 34350. Let f(s) = h(s) + 3*z(s). Factor f(n).\nAnswer: 3*(n - 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*g + 658, -5*g + 5*h - 461 = 659. Let j = g + 247. Solve w = 23 - j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/360 - i**5\/40 + i**3\/6 - 3*i**2. Let j(b) be the first derivative of s(b). What is the second derivative of j(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4614 + 4614. Let g(b) be the second derivative of 1\/3*b**4 + l + 4*b**2 + 2*b**3 - 18*b. Factor g(z).\nAnswer: 4*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050112 to six decimal places.\nAnswer: -0.000501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -7, 1, 4, 60, 6 in ascending order.\nAnswer: -7, -2, -1, 1, 4, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 48746 divided by -11008\nAnswer: -24373\/5504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -2, 15?\n\"Answer: 17*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20897 - 1086557\/52. Let v = 251\/11 + -3407\/198. Find the common denominator of v and f.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = z - 159. Suppose 0 = 3*v - z - 16. Let x = 13 + 5. What is the remainder when v is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2751007210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980950495.\nAnswer: 5, 3491, 113489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 17. Suppose 7*y + 2 = a. Suppose y = -10*q - 4*q - 1484. Which is smaller: q or -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 3:32 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/26? (a) 2 (b) 203 (c) 0.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 482\/10817 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 998367.5 micrometers in nanometers?\nAnswer: 998367500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/60 + d**4\/24 - 2*d**3\/3 - 2*d**2 - 440. What is f(6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*l - 2*h, -l - 3*h + 4 = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 8438064375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7566*d + 275760 = 6363*d - 910749 - 373539 for d.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:22 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3823318.17 minutes?\nAnswer: 379.2974375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 1051*x - 1048*x = -4, 5*b + x = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3791\/751275 - 1\/9275. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/33, -171, -6, 0.0215 in descending order.\nAnswer: 2, 0.0215, -1\/33, -6, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -724043, -1447928, -2171813, -2895698, -3619583?\n\"Answer: -723885*g - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -39, 11, 61, 111, 161?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 4*j + 2. Let n(d) = d**3 + 3*d**2 + 8*d + 5. Calculate 2*n(m) - 5*o(m).\nAnswer: 2*m**3 + m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 22 = -5*k + 2*n, 4*k - 3*n - 20 = 0. Let v = k + 2. Suppose 0 = v*m + 155 - 467. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 7*y**2 + 3*y + 2. What are the prime factors of w(4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*d**5 + d**2 - 7133*d wrt d.\nAnswer: 4080*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**2 + 15*d + 13. Let s(r) = -3*r**2 + 7*r + 6. Suppose -53*j = -50 + 527. What is j*s(f) + 4*y(f)?\nAnswer: -f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9028 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhdbbmhhhhzdmbh. Give prob of picking 1 d and 1 b.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*v + 81*v + 3 - 3.\nAnswer: 363*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-12116948\nAnswer: -2423389.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.83414 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 11 - 2 = 0. Let b(u) = -u**2. Let x(f) be the second derivative of -f**4\/12 + f**3\/6 + f**2\/2 + f. What is h*b(t) + 2*x(t)?\nAnswer: t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**5 - 2*n**4 + 23668889*n**3 + 25887871*n**2 wrt n.\nAnswer: -240*n**2 - 48*n + 142013334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*sqrt(128)*-2 - (sqrt(128) - ((2 + sqrt(128))*-6 + sqrt(128))))*2*-2*2)**2.\nAnswer: 3686400*sqrt(2) + 29721600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36052681 is divided by 693.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -333.9 - -329.9. Let t = 0.7 - 1.1. What is the second biggest value in 4, t, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 3*w - 8*w - 2, -o + 5*w = -12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 2*l**2 - l**2)*(l**2 - 3*l**2 + 3*l**2).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53533, -55450, -57367, -59284, -61201, -63118?\nAnswer: -65035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32770 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/81*39 - 4. What is the nearest to s in 0.4, 3\/2, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u. Let w(i) = 2770888 - 559*i - 1067*i - 2770888. Give j(w(y)).\nAnswer: 4878*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1772.1 + -1772. What is the third biggest value in f, 5, -405\/4?\nAnswer: -405\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0.11729, 0 in decreasing order.\nAnswer: 0.11729, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228962419 + 228961851.00000125. Let l = v - -568. What is l rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**5 - 2*q**3 - q**2 + 2*q + 2. Let i(b) = 2*b**5 + 7*b**3 + 2*b**2 - 7*b - 7. Let s(u) = 4*i(u) + 14*x(u). Find the third derivative of s(g) wrt g.\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-6)\/(-81) - (-196)\/(-195)*(-900)\/135\nAnswer: 90\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 16*s**2 - 40*s + 66. Calculate the lowest common multiple of 196 and d(-15).\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*x - 20*x**2 - 11 + 5 + 6.\nAnswer: -20*x**2 - 90*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10302?\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**3*f*l**3 + 2*a**3*f - 4*a**2*f + 2*a*f*l**3 + a*l**3 wrt a?\nAnswer: 66*f*l**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -140879 + -2?\nAnswer: -14087b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -4\/2555 (c) -0.2 (d) -4\/3 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrrrqrrqqrrqrqr. What is prob of picking 1 q and 3 r?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468 + 2*x + 281 + 1832 to the form a + j*x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 62*l**2 + l + 29. Let r be o(-31). Which is the second biggest value? (a) r (b) -25 (c) 0.2 (d) 0 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*r + 17*r - 23*r)*(-31 + 31 + 19*r**2).\nAnswer: -589*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25\/(-10) + 4)*-6. Let u = 12 + k. Suppose 2*v - 12 = -2*i + 4*v, i - 8 = u*v. What is the greatest common factor of 55 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80.77 - -80.57. Let d = -3 - -2.5. What is the third smallest value in d, z, -3\/4, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -15. Let d(b) = -2 - 3*b**2 + l*b**2 - 2*b + 1 + b**3. What is the remainder when 14 is divided by d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 18 + -27 + (-77 - -46)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - a64?\nAnswer: -a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3386922, -6773706, -10160490, -13547274, -16934058, -20320842?\n\"Answer: -3386784*u - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 8*v + 4*v - 28, 5*f - 12 = -2*v. Which is the closest to 0? (a) f (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + r - 45924 + 153046, -107110 = -5*k - 5*r. Suppose 0 = 7*m + 9*m - k. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:05 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 5 - 0)\/((-2)\/5128). Suppose 3*f + 266 - b = 0. List the prime factors of f.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.656986 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 3*z**2 - 4*z - 5. Let w be y(-4). Let k be (-122)\/6 + w\/(-15). Let g = k - -80. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 3:35 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -7.42551 and -5.34 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 143 + 111 = 5*u, -2*x - 204 = -4*u. Suppose -u = -5*p + p + 2*f, -19 = -2*p - f. Factor 9 + 5*y**2 - 15*y + 2 - p.\nAnswer: 5*y*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*i - 35 = 0, -9*i + 15 = -6*i. Suppose 0 = 2*t - 2 + 4. What is the nearest to 2\/9 in t, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*sqrt(1372).\nAnswer: -3 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36 and -1811022.\nAnswer: -1811058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.4 (b) -1 (c) -0.2 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 106186851 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 14 + 54 = 0. What is the third derivative of -5*g**l + 24*g**4 + 50*g**2 - 6*g**3 - 2*g**4 - 4*g**4 wrt g?\nAnswer: 312*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6071 = -c - 6140. Which is smaller: c or -211\/3?\nAnswer: -211\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.2, -2, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 3. Suppose -q + 0 = -x. What is the remainder when 63 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-142 - -127) + -77 + 1).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 - 7*k + 6. Let l be z(4). Let t be ((-2)\/(-3))\/(l\/9). Let p be (-51)\/34 - 10\/(-12). What is the nearest to -2\/11 in p, t, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6923 + -6944. Let u(d) = 9*d + 4. Let o be u(4). Let k = i + o. Calculate the remainder when 71 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 109. Suppose 2*u + m*y = -2*u + 13, -3*u + y = -24. Solve x = -u*q + 2*q + 16, 5*q + 4*x = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7489\/9 + 837. Let y = w + -50\/9. Suppose -2*o + 5 = -5*o + 5*u, 0 = -u + 1. Which is bigger: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001385 rounded to 7 dps?\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368029.\nAnswer: 3, 789343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 10 = 5*a - 3*x, 0 = -4*a - 4*x + 8. Let l be (-72)\/9 - 2\/a. What is the units digit of -2 + 2 - 0 - l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 221653229799\nAnswer: 221653229798.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 85 = -103, -5*o + 31 = -s. Put 39, o, 4, -15 in ascending order.\nAnswer: -15, 4, o, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2754 times 286\nAnswer: 78.7644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*m + f, f + f = -4*m - 24. Let b(i) = -7*i + 0*i - 5*i + 7 - 2*i. Is b(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6003*k**2*p**3*s + k**2*p**2 + 488*k*p**3*s - 164710*k*p**2*s + 4*p**2 wrt p?\nAnswer: 36018*k**2*s + 2928*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 19*z**2 - 14*z - 48. Calculate the smallest common multiple of 12 and u(18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/2 of a centimeter?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 8, f: 1, j: 9}. Give prob of picking 1 u and 1 f.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12435525 divided by -621.\nAnswer: -20025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(2 + sqrt(192) + 1) + -3)**2 + 0.\nAnswer: 6336*sqrt(3) + 28737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 28\/5*f**5 + 0 + 16\/3*f**3 + 9*f + 2*f**2 + 22\/3*f**4 + 34\/15*f**6 + 8\/21*f**7. Find g, given that c(g) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1210379 or -1210362?\nAnswer: -1210379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*4\/(-6)*(-51)\/(-68). Suppose d = -49*b + 53*b - 1092. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8798 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061281?\nAnswer: 13, 81637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75227397*m**4 + 5731*m - 1393 wrt m.\nAnswer: 902728764*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430*b**4 - 7823525*b**3 + 31340065*b**2 - 23597235*b + 82125 = 0 for b.\nAnswer: -5475, 1\/286, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -169*d*z**2 + 56*z**2 wrt d?\nAnswer: -169*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-179)\/2148*4\/(-8)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -80.3. Let o = y + 5.6951. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 6:05 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ienjjnfkjkk. What is prob of picking 2 j and 1 n?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126618, 253236, 379854, 506472?\n\"Answer: 126618*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - (500\/(-36))\/5 and -3 + ((-39)\/(-72))\/13.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 350\/(-30))\/(11\/66)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(-6*(sqrt(1088) + 2)**2 - ((sqrt(1088)*-1)**2 + 3)).\nAnswer: 960*sqrt(17) + 38213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 + 6*s**2\/7.\nAnswer: 2*s**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -697, -1054, -1419, -1792?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2702, 5383, 8086, 10823, 13606, 16447?\n\"Answer: 2*a**3 - a**2 + 2670*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 370, 8, 3, 0 in decreasing order.\nAnswer: 370, 8, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0. Let s = -0.1 - -0.2. Let g = 5.26 - 0.26. What is the closest to u in g, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 138*l + 63. Let n(d) = 137*d + 62. Let s(y) = 5*n(y) - 4*x(y). Is s(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, z: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176386, 352768, 529150, 705532?\nAnswer: 881914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 9*p + 10. Let a be z(-8). What is the least common multiple of a\/(-6) - (-133)\/21 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*a - 5. Let t(o) be the first derivative of -19 - 3*o + 1\/2*o**2. Determine t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2415\/84 - 24 - (-3 + 16)).\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/280830 and -121\/178710?\nAnswer: 1965810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628*y - 645 = -747 - 1154. What is the smallest value in y, 37\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2714 and -137\/8496.\nAnswer: 195408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 d when four letters picked without replacement from ppdpppdppppppppppp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8299971 + -0.83. Round x to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867*w - 861*w + 12 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 2?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - -3 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -544, -547, -560, -589, -640, -719, -832, -985?\n\"Answer: -s**3 + s**2 + s - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 287\/(-574) + (15642\/(-4))\/(-1)?\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -13)\/((-8)\/(1 - -39)). What is the greatest common factor of p and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 38*q - 18*q + 8*q + 9.\nAnswer: -48*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 35 = 5*g. Let o = -1 + g. Let x(v) = 6*v + 8. Let c(k) = k + 1. Let t(r) = o*c(r) + x(r). What is t(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106 - 695932425.\nAnswer: -695932319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152508352 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1639 or 14905?\nAnswer: -1639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -803\/161 - -71083\/19320. Calculate the common denominator of f and 47\/70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 369, 1275, 3043, 5961, 10317, 16399, 24495?\n\"Answer: 48*m**3 - m**2 - m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28145 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: How many minutes are there between 3:57 AM and 6:18 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, 1 h, and 1 r when four letters picked without replacement from {h: 3, w: 2, k: 1, r: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 12*z + 5. Let c(n) = -3*n**2 + 35*n - 14. Let j(i) = 4*c(i) + 11*t(i). What is j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240943486 to the power of 1\/2, to the nearest integer?\nAnswer: 15522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288123458.\nAnswer: 2, 7, 20580247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 73*o - 59. What is the tens digit of r(-102)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**4 + 1564*n**3 - 6310*n**2\/3 - 5768*n\/3 - 1048\/3 = 0. What is n?\nAnswer: -262, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(4\/7))**(-30)*(p*p\/((p**(-1\/5)*p)\/p))\/p*p**(-4\/9)*p*p)**(-1\/16))**11 assuming p is positive.\nAnswer: p**(17501\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 20070000 = -16*x. What is x rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -86*l + 1. Suppose 0 = -g + 5*g + 4. Is p(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135192 is divided by 33793.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23351737 is divided by 8842?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42 - 42*f - 42)*(2*f**2 - 3*f + 3*f) to the form v*f**2 + h*f + n + b*f**3 and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + 2742 = 5*x, 10 = 5*r. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + -1*sqrt(200) - sqrt(200))**2 + (sqrt(242) - sqrt(242)*1)**2 + 5 + sqrt(242))*-4.\nAnswer: -3240 + 116*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i + 1. Let l be j(1). What is the tens digit of l\/(-3) + 427\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 387, 381, 375?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 74 = -488*g + 491*g, 0 = 10*g + 8*l + 320 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 159*s. Let f(t) = -5*t. Determine o(f(y)).\nAnswer: -795*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*2*sqrt(2) + -1*(-1 + sqrt(2)).\nAnswer: -5*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*l - 36 = 207*l. Suppose 3 = -3*g - 0*g. Sort g, l, 5, 3 in decreasing order.\nAnswer: l, 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 573 (base 11) to base 3.\nAnswer: 221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4155 - 617?\nAnswer: -4774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6888508761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/(-14)*25\/(-75) + (-26)\/(-4). Solve 0 = r*q + 4*a - 16, 20*q - 17*q = 2*a + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.3. Let t = -88.2 + 89.2. What is the nearest to t in -5, 2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3037, -4, -1, 0, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3 (c) 3\/2 (d) -4 (e) -1\/8 (f) -98\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u - 2, -3*u = -3*p + 84. Let i(a) = -a**3 + a**2 + a + 4. Let m be i(0). Suppose o - d + 18 = m*d, d - p = 2*o. Which is bigger: -14 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 less than -10095\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61986661487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7432, 31054, 72808, 134644, 218512, 326362, 460144?\nAnswer: 621808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 413585964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1896 or -1894?\nAnswer: -1894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -17, -762, 3 in ascending order.\nAnswer: -762, -17, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(179*l + 419*l + 74*l)*(4 - 1 - 1) + 2*l - 3*l - l.\nAnswer: -4034*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 s when three letters picked without replacement from mmwmsms?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5051 - 779 + 1174)*(-2*i - 4*i + 4*i).\nAnswer: 9312*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 2, h: 1, i: 1, s: 1, k: 2}. What is prob of sequence sk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s + 22*s - 11954*s**3 + 10*s - s**2 - 46*s.\nAnswer: -11954*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n + 246 = -223 - 441 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -810\/23 + 3365\/138. Let r = -23611\/6 + 3918. Find the common denominator of r and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.49 + -0.09. Let s = m + 0.6. Which is the second biggest value? (a) -0.4 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(475) + 1)*-5 - (3 + sqrt(171) + -2 + sqrt(171)))*-2)**2.\nAnswer: -439080 - 8928*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3534 and 104747?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {z: 4, y: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 4 + 2 + 2*a. Suppose 22*q = 20*q + 4. Give n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 1. Let p be b(2). Suppose p = -5*n + m, -3*n + 5*m - 6*m - 11 = 0. Let x be 2\/(n*(-2)\/6). Solve 8 = x*y + 2*c - 3*c, -4*c - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70125995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a62 (base 13) in base 3?\nAnswer: -22110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12\/7 + -3\/14. Let k be (-30)\/44 + (-1)\/(-2). Let r = -2 - -1.5. Put r, k, o in descending order.\nAnswer: o, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from uuuuuuuuuupup?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*z - 0*s + 18, -2*z - 30 = -5*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*d + 474. Let f be (-14 - (8 + (-8 - -2)))*-5. Is d at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70866 is divided by 133.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -986729*w**3 + 41289*w**3 - 938938*w**3 + 99964*w**3.\nAnswer: -1784414*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 215\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 29. Sort -9, 2, o.\nAnswer: -9, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -399, -0.5, -2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1855, -10\/21 in decreasing order.\nAnswer: -10\/21, -1, -1855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 57*z + 7 - 628*z**2 + 627*z**2 - 55*z. Give a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 1\/19 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*s = 27, y + 20 - 11 = -4*s for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -70956720 to the nearest one hundred thousand.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 850 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**5\/60 + 3*c**4\/8 + 4*c**3\/3 + 3*c**2\/2 + 2. Let m(d) be the second derivative of i(d). Is m(-9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14928*g**5*z - 16*g**2*z + 3*g*z - 2*g - 38*z wrt g.\nAnswer: 895680*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50214 - 28805 = 594*m + 26*m - 5239 for m.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-5 - (-13 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-30) + (10\/60)\/((-10)\/28). What is the closest to -2\/5 in k, 3\/5, -1\/207?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -25*p**3\/6 - 9*p + 8. Let z(f) be the first derivative of f**3\/3 - 5. Give z(b(m)).\nAnswer: 625*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 494 = -46*i, 4*i = -4153*b + 4148*b - 34 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -0.05, 0.86, 0.12 in ascending order.\nAnswer: -0.05, 0, 0.12, 0.86, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41666904 is divided by 1736121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + 69*h - 18 - 39 - 45 with respect to h.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + -3 - 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 1\/2*q**2 + 0 + 151\/3*q**3 + 17*q. Is s(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l**2 + 5*l. Let x(p) = 3*p**2 + p. Let y(t) = -2*c(t) + 11*x(t). Let a be y(1). Let z = a - -60. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29008 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 13883?\nAnswer: -152713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3673.1 + 3672.989956. Let u = -7 - -6.89. Let c = u - s. What is c rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1250\/(-125)*108\/(-24).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37524 divided by -212.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15889 is divided by 454?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 250*k**5 - 13*k**5 - 22*k**5 + (-354 + 354 + 97*k**4)*(1 - 2 - 1)*(-2*k - 2 + 2).\nAnswer: 603*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 29 = 3*a - 70, -i + 59 = 5*a. Suppose -5*r + 8 = -a. Solve -3*m = r*j - 0*j - 9, 3*m = j - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12\/3) + (-15)\/(-30).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 8:04 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = 3*p. Suppose -p*w + 6 = -0*w. Solve 0 = -x - 4*a - 12 + 34, 6 = -2*x + w*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811520?\nAnswer: 2, 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17 - 1 = 0. Let s be 0\/(l\/(-12)*-3). Suppose 4*z + s*z - 268 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 25*j - 3. What is the hundreds digit of p(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 5*v - 16. What is b(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 2*m - 9. Give a(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/150 - 2*g**4\/15 - 16*g**3\/15 + 9*g**2. Solve b(h) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 < 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4362, -4363, -4364?\nAnswer: -4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -972 plus -200.619?\nAnswer: -1172.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497364 is divided by 351.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + -10. Let r = -12 - y. Suppose 0 = -c + 3*c + r, -4*h - 4*c = 0. Solve 14 = -2*d + j, -2*d - 3*d = -h*j + 41 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 394*u - 32582. Give g(118).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, 1, 4 in descending order.\nAnswer: 18, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44186, 88922, 133658, 178394, 223130, 267866?\nAnswer: 312602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/(-6) + (-1)\/(-3). Let x be (-4)\/(-10)*(-2)\/s. Let d = 5.641 + -5.581. Which is the closest to -0.1? (a) d (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105.08 or 0?\nAnswer: -105.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - 2*sqrt(220)\/sqrt(5) - sqrt(44)) + sqrt(132)\/sqrt(3)*-6)\/(sqrt(24)\/(sqrt(6)*-4)*6).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26816 is divided by 2616?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/46495 and -57\/88910.\nAnswer: 48633770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264243 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 67703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3\/8, 32\/5, -0.8, -26?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(99\/12 + 0)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -680 - -439. Let t = 258 + r. Suppose 9 = 3*v + 4*z, 5*z + 6 = 3*z. Calculate the remainder when t is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -202, -444, -782, -1216?\n\"Answer: -48*j**2 - 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + n + 8 = 21, k - 12 = -2*n. Suppose t = -k*c + 3*t + 22, 4*t + 14 = -c. Suppose c*z - 47 + 5 = 0. Sort -4, -1\/3, z.\nAnswer: -4, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/3630 and -137\/486.\nAnswer: 294030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10*l + 7182 = 0. Suppose -20*o**2 + l*o**4 + 33*o**3 - 7*o + 16 - 21*o - 789*o**4 = 0. Calculate o.\nAnswer: -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34728, 34727, 34726?\nAnswer: 34725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*8\/70*-7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7901416.\nAnswer: 2, 19, 227, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.116 - -0.116. What is the third biggest value in -224, l, 3?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 5*r. Let k(q) = 6*q**2 + 4*q. Let c(v) = 6*j(v) - 7*k(v). Find the second derivative of c(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50086879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 36*q**2 + 9380*q + 297776 = 0.\nAnswer: -2012\/9, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Divide 38222364 by -1.\nAnswer: -38222364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*g + 266, -3*p + 396 = -24*g + 28*g. Suppose -3*h = a - 26, 0 = -a - 0*h - h + 20. What is the greatest common factor of a and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1763404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.1. Which is the third smallest value? (a) j (b) 3\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, b: 1, y: 5, p: 3, o: 5}. Give prob of picking 1 b and 1 p.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-76)\/(-176) - 4\/22. Let s(j) be the first derivative of -n*j**4 + 2 + j**2 - 5\/3*j**3 + 4*j. What is s(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a\/(a*a**(-6\/5)\/a))\/(a**(-1\/3))**26 assuming a is positive.\nAnswer: a**(283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2611 and -5.\nAnswer: 13055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002011120211 + -101?\nAnswer: 2002011120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 4*y = 23*i - 280, i + 6*y + 0*y - 32 = -26 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a + 200*a = 345*a + 3104 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h - 53*h = 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 9. Let a be g(-5). Let d be 3 - (5 - a)*3. List the prime factors of (-2 - d - -39) + -4.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 129, 249, 371, 495?\n\"Answer: t**2 + 117*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 9:39 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -0.6. Let u = k + 1.33. Let j = u + 0.06. What is j rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 61049884.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*5*sqrt(17)*1)**2.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:02 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 29 (b) 2\/11 (c) -3.9958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-14) - (-2)\/(-7). What is the second derivative of -r*h + 9*h**2 - 3*h**2 + 6*h**2 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -72*z + 24. Is g(-7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 591107 + -197107. Round c to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4778.\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 1 (c) -0.6 (d) -272\/15 (e) 2\/5 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -15*q**5 - 775*q**4 - 6535*q**3 + 112755*q**2 + 467770*q - 168200 = 0.\nAnswer: -29, -4, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1446 is divided by 359.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s + 7*s + 13*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**3 + 7 + 0 + 0*k**3 wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 278 = 44. Find the third derivative of 30*t**2 - 131*t**6 - 5*t + d*t**6 + 0*t wrt t.\nAnswer: -11040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**9\/126 + 3*h**5\/20 + 11*h**2\/2 - 10. Let u(a) be the second derivative of w(a). Find the third derivative of u(x) wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2 - 79*g**2 - 46*g**2 + 0. Let r be l(2). Let y = -326 - r. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*k + 10 - 6.\nAnswer: 3*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/96 and -77\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 17*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*-1*3\/36?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1671665?\nAnswer: -1671672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -779490 (base 12) to base 8\nAnswer: -7205154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 9, 24, 45?\n\"Answer: 3*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 3\/4 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 bigger than -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84826*j - 84629*j + 7880 = 0 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 708434675 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {f: 1, q: 1, d: 6, s: 2, j: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449406 >= 4449408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -7 - ((-6 - -12 - 18) + 48)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 418*x - 379*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12250*q**6 - 4123*q**2 wrt q?\nAnswer: -1470000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13864, 55505, 124906, 222067, 346988?\nAnswer: 499669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 166*r**3\/3 + r - 2668. Suppose 0*x + 3 = -a - 2*x, -5*x = a + 6. What is the tens digit of w(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (45 - (-62 - -73)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 97, 394, 897, 1612, 2545, 3702, 5089?\n\"Answer: x**3 + 97*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -24*f**2 + 12*f + 142. Let o(s) = -21*s**2 + 14*s + 144. Determine -7*a(h) + 6*o(h).\nAnswer: 42*h**2 - 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -94*o + 2448. Let i be u(26). What is the nearest to -0.3 in 6, i, -21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = 78. Let x(g) = -2*g + 4. Let s be x(-3). Calculate the remainder when b is divided by -7*1*s\/(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 3*n**4 - 3*n**4)*(-4*n - 2*n - 2*n).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, v: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35149 or -35185?\nAnswer: -35185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -147544460?\nAnswer: 442633380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 11. Let d(k) = -1. Let g(x) = 3*d(x) + i(x). Let u be g(0). Solve -m + u = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-1)*(-14)\/(-266)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + b0?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 4*w**2 - w**2 - 4*w**2 + 1 + 0. Let c(s) = s**2 - 2*s - 2. Let d(k) = -c(k) - 2*v(k). Suppose 10*i - 2*i = -40. Give d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*t - 2*t + 27 = 0, -10 = -5*t. Suppose 21 + 11 = -2*z. Is z + w + -1 + 539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25871?\nAnswer: 41, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-30)*(2 + -2 + -15). Let c be (2\/x)\/(12\/36). What is the third smallest value in 5, 0, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k - 4. Which is the fourth smallest value? (a) -0.1 (b) -26 (c) 5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 43*h = -4. Suppose -h*p = -259042 - 4980958. Round p to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**7\/945 - 11*x**6\/540 - 14*x**2. Let c(g) = 0. Calculate g.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24875 is divided by 586.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137735627.\nAnswer: 131, 1051417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 4*o**2 - 5*o. Let z(j) = 3*j**2 - 4*j. Let n = 234 + -237. Determine n*l(k) + 4*z(k).\nAnswer: -3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:07 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*y**5 - 2*y**3 - 123*y**2?\nAnswer: 600*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 31 = -a, 3*w + 5*a + 13 = 36. Let u(t) = -w*t + 2*t + 6*t - 3*t. Let n(v) = 7*v - 1. Give n(i) + 5*u(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -38, -80, -120, -146?\n\"Answer: 2*a**3 - 17*a**2 + 5*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen ninths of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3626664 is divided by 158.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(210)*-2)\/((-2*sqrt(90))\/sqrt(9)))\/((sqrt(12) - (sqrt(24)\/sqrt(2) - sqrt(12))*3)\/(2*sqrt(4)*-1)).\nAnswer: -2*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 1122303\nAnswer: 1122273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -970, -3649, -8114, -14365?\nAnswer: -22402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 26 - (6 + -75)) + 9.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -427*m**3*p**4 - 1595*m**3 wrt p.\nAnswer: -1708*m**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 + -136. Calculate the remainder when 8 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 4*a - 10. Let n be b(6). Let x = n - -20. Sort -1, 1, x.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/15)\/(l*l**(-7)*l)*l*l**0*l*l**(3\/7)\/l assuming l is positive.\nAnswer: l**(689\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27442 = -51*h - 8470. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(196)\/sqrt(4)*4)\/((sqrt(1008) - (((sqrt(1008)*1 - sqrt(1008)) + sqrt(1008) - sqrt(1008)) + sqrt(1008) + sqrt(1008)))*-1))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/5 - 7292*x**4\/5 + 622188*x**3\/5 - 14018214*x**2\/5 + 22067729*x\/5 - 8664414\/5 = 0. Calculate x.\nAnswer: 2\/3, 1, 43, 2343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(96\/6))\/((-5)\/190)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.13 - -0.13. What is the closest to 0.1 in q, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22712.4 - -22713. Suppose 3*x + x - 8 = 0. What is the second smallest value in x, 2\/37, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3.9. Let s = 4919\/11 + -447. Which is the closest to h? (a) -5\/6 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:42 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peempmzupzpttmz. Give prob of picking 2 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -26. Which is the closest to -1? (a) f (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2656838, 2656839, 2656840, 2656841, 2656842?\nAnswer: 2656843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2244357 is divided by 8767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -65472?\nAnswer: 65472.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 43958*i + 2*i**2 + i**3 - 43964*i + 3*i**2 + 4. What is c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1493*s**2*t - 2*s*t - 2*t - 1148 wrt s.\nAnswer: -2986*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -152*r**2 + 436*r - 132. Let o(t) = -22*t**2 + 62*t - 19. Let j(s) = 20*o(s) - 3*q(s). What is a in j(a) = 0?\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 3*w**2 - 4*w + 3. Let k be c(4). Let p = 36 - 24. Calculate the greatest common divisor of p and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70708590 divided by 23569530\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:53 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*d - 82, 28*d = 3*z + 25*d - 144. Calculate the greatest common factor of z and 1472.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5147, -5198, -5249?\nAnswer: -5300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-711530)\/(-30) + (16\/12 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, 89, 102, 131, 182, 261, 374, 527?\n\"Answer: h**3 - h**2 - h + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125167 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 + 65. Let j = 101.407 - -1.693. Let m = j + w. What is m rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/6*(2447 - 5). What are the prime factors of (-1 - -2)\/((-5)\/z)?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25743\/5 + -5148. What is the nearest to 2\/7 in m, -2\/3, 1, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -859 - -901. Let j be (-67 - -69)*t\/4. Solve 10 = -2*v, 3*v = -4*c + 4*v + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 161*n**2 - 23*n. Let w(q) = -2*q**2 - 10*q - 11. Let o be w(-6). Let y(c) = 27*c**2 - 4*c. Calculate o*y(i) + 4*r(i).\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzfu when four letters picked without replacement from {f: 1, r: 2, z: 3, m: 1, h: 3, u: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 29, 217, 649, 1409, 2581, 4249, 6497?\nAnswer: 9409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2620 - 877 - 875 + u - 869 - u - 148*u**3.\nAnswer: -148*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:28 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 14 + 13 = -3*r, 5*r + 28 = -y. Let z(c) = -7*c. Let t(d) = 1. Let q(f) = -2*t(f) + z(f). Is q(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-25410)\/(-6) - 0\/((-6)\/(-3)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:52 PM?\nAnswer: 164","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 6317186 - -19513255. Let d = z - 53230441. What is d rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkbpz. What is prob of sequence dk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42 - 224 + p + 767*p**2 - 51*p**2 wrt p?\nAnswer: 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139736 divided by 6\nAnswer: -69868\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*z**5 + 21*z**5 - 23*z**5 + (0*z**5 + z**5 + 0*z**5)*(3 - 5 + 5) + (3 - 3 - z**2)*(3*z**3 + 2*z**3 - 6*z**3).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 - 4*z - 4. Let d(v) = 14*v**2 - 11*v - 11. Let j(m) = 4*d(m) - 11*g(m). Let x(i) be the first derivative of 8*i**3 + 46. Calculate x(j(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13536 and -2.5?\nAnswer: -33840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 488 - 218. Round o to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u + 41. Let d(t) = -t**2 - 2*t - 1. Let m be d(-1). Let v be w(m). Suppose 0 = 2*h + v - 195. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3034477056184\/30745 + 1085680567\/11. Let b be (-8389)\/11180 + 18\/24. Let k = z + b. What is the common denominator of k and 61\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 4. Let i be o(-3). Let z = -13 - -18. Let f = -1 + z. What is the biggest value in i, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*o + 6*o**3 + 588 - 1171 + o**4 + 0*o**4 - 4*o**2 - o**5 + 583 = 0. What is o?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -14*y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and (4 + 0\/4)*1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32389215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkvk when four letters picked without replacement from {v: 10, k: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 + -6 + -4 + 7 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let b(f) be the third derivative of f**5\/30 + 7*f**4\/24 - 11*f**2. What is q(b(s))?\nAnswer: 8*s**4 + 56*s**3 + 98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.1 rounded to 0 dps?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1.1, -0.3, 0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/2 + 2*s**3\/3 - 9*s - 7. Let y(l) = -l**3 + l**2. Let q(b) = x(b) - 2*y(b). Find the first derivative of q(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598594199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 times -0.2?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(35))\/sqrt(5) + (1*sqrt(56)*-2)\/sqrt(8))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z + 6. Let d(w) = -13*w - 11. Let o(v) = -6*d(v) - 11*x(v). Let n(f) = 5*f - 12. Let j(p) = n(p) - o(p). Does 7 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31\/21 - 37\/21. Which is the nearest to -1? (a) p (b) 3 (c) -0.3 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*l + 26, 9 = -6*f + 4*f + 3*l. Calculate the remainder when 7 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 0\/3)*(-1)\/(-1). Let n be (-2)\/(c\/((-325)\/10)). Is n less than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**2 - 11. Let z(j) = 3*j**2 - 4. Let n(f) = 3*g(f) - 8*z(f). Let x(d) = d**2. Calculate -n(r) + 2*x(r).\nAnswer: -r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**2. Let l(g) = 45589*g - 6. What is l(m(j))?\nAnswer: -410301*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -18 (b) 2\/9 (c) -2\/5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = -5*y + 538, -5*n = -3*y + 334. Let a be 34\/9 + 24\/y. Let b(s) = s**3 - 4*s**2 + s - 2. What are the prime factors of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312749761.\nAnswer: 113, 2767697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-567)\/(-216))\/((-6)\/(-14)) and -9\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - -3.2975. What is k rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 - 806241?\nAnswer: -806282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212406 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.19 or -561?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 44*r - 430. Give c(12).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*w**2 - 1 - 6*w**3 - 14*w**2 - w - 18*w**2 to u*w + f*w**3 + c + q*w**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3023*d**2 + 14*d - 7. Let o(f) = -1627886*f**2 + 7540*f - 3770. Let n(h) = -3770*b(h) + 7*o(h). Let z(k) = -3*k. Give n(z(x)).\nAnswer: 13572*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 725 or 1122?\nAnswer: 1122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 4*x**3 - 137*x**3 + 425*x**3 + 4*x + 708*x**3.\nAnswer: 1000*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*p + 99*p - 187*p - 45. Solve -5*s + 3*f + p = 0, 4*f = s + 332 - 350 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1026485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m*t*z**2 - 2*m*t - 5*m*z + 15*t*z**2 - 776*t wrt z?\nAnswer: 2*m*t*z - 5*m + 30*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 5*m - 93, 3*c + m = -84. Let v = c + 31. Let l be (2\/6)\/((-5)\/(-180)*v). Solve -3 = -l*r + 5*n - 18, 10 = -2*r + 4*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4722 - 3245. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24228710?\nAnswer: 2, 5, 11, 37, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.2. Let d = -2.7 - -2. Is d < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**2 + 1071 - 84 - 1133 + 146.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*r**2 + 211 - 211 + (5 - 2 - 2)*(r**2 - 2*r**2 + 3*r**2) + 2*r**2 + 0 + 0)*(11*r + 7*r - 19*r - 12) as d + n*r**3 + o*r + z*r**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 + 11*n**4\/12 + 10*n**3\/3 - 3*n**2 - 10*n. What is p(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 0.3683303.\nAnswer: 0.0683303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, 2, 0.4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 2, w: 4, r: 2, c: 3, v: 2}. Give prob of picking 1 c and 1 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + i - 1. Let h(c) = c + 2. Let b be h(0). Let o be b\/4*-2 - -3. Calculate s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424725 divided by -4045\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from {q: 1, l: 1, t: 1, i: 1, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30\/75*(-5)\/4*8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 27*k - 16593. Let h be f(-143). Let u = 974\/3 - 317. What is the closest to 0.2 in u, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 41*r + 45*r - 730, 3*r = 5*x - 695. Let z be (172\/(-6))\/((-3)\/(-9)). Let q = x + z. What is the remainder when q is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*sqrt(304).\nAnswer: -16*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(5*t - 4*t - 3*t) + (3*t + t - t)*(174 - 50 - 70).\nAnswer: 158*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133110155 plus -19?\nAnswer: 133110136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 4, r: 3, z: 2, x: 6, p: 1}. Give prob of picking 2 r and 1 a.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -31. Let i(j) = j**2 - 2*j. Let x be i(4). Let a = -4 + x. Solve -a*g + 3*g - b = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.037? (a) -1\/3 (b) -5\/19 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 269, 268, 267, 266, 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 1, c: 1, s: 1, k: 1}. Give prob of picking 1 c and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -199495*f**2 - f - 7. Let m(x) = 199494*x**2 + x + 6. Let y(k) = 4*h(k) + 3*m(k). Let v be y(-2). Round v to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31332000 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 9929604.\nAnswer: 9929604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306.29 + -305.79. Which is the second smallest value? (a) j (b) -3\/11 (c) -0.1 (d) -7 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 1 - 7. Suppose -20099984 = -l*d + 4*u, 5*u - 31 + 11 = 0. Round d to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 17*x**2 + 26*x + 22. Let d be t(15). Let g = d + 38. Let j = 8 - 6. Solve g = j*n - 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 4*g - g)*(-49 + 49 - 10*g**2) - 3*g**2 - g**3 + 3*g**2.\nAnswer: 29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/((-1936)\/(-44))*10\/(-2)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 7434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 0*l**2 + 2*l**2)*(3*l**2 + 5*l**2 - 3*l**2).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 1.1. Put 5, d, 0 in descending order.\nAnswer: 5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u. Let s(x) = x. Let i(w) = 2*a(w) + 14*s(w). Let g(y) = 18*y + 17. Let d(r) = -11*r - 9. Let z(l) = 11*d(l) + 6*g(l). Give z(i(q)).\nAnswer: 26*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 + 66. Let i = f + 69. Solve -4*a = -2*s + 4, i*s = a - 0*a - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**4\/6 + 4615*c**3\/6 + 5420*c**2 + 4650*c = 0.\nAnswer: -6, -1, 0, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -19, 0.4, 5\/4, -5, -23 in ascending order.\nAnswer: -23, -19, -5, -2\/9, 0.4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - 271?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10*q + 5*j - 260 = 0, 5*j + 156 = 3*q. Let w(k) = -10*k - 34*k + 4 + 2*k**2 - k**2 + q*k. Calculate w(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -9 (c) -1.5 (d) 0.5 (e) 8 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - h - 1. Let k(s) = -s**3 + s + 1. Calculate 2*k(t) + 2*z(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*i - 195 = 0, 0 = 3*k + 2*i + 20 - 122. Is (-1 - -3) + (k - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 + 0 - 0) - (15 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 3) to base 16.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(64)*-4 + sqrt(64) - sqrt(64))*-1)\/(-6*sqrt(108)*-2*3).\nAnswer: sqrt(3)\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -8 - 7 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.64 + -0.34. Let z = 0.072 + 10.928. What is the second smallest value in g, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/89 in -2, 2\/7, 5.4, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80\/13 + 1 + (-30)\/26. Suppose 15*x = 18*x - i. What is the greatest common divisor of x and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) -5.8 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, -2\/683, -1141?\nAnswer: -2\/683","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r - 12*r + 42 - 17*r - 72*r - 3*r**2.\nAnswer: -3*r**2 - 92*r + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 153361 + 34364. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -38. Let u = i + -4. Let r be u\/(0 - (1 + -2)). Solve y + 2 = r*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**2. Let q(p) be the first derivative of -37*p**2 - 43 - 48 + 28 + 29*p**2. Calculate i(q(l)).\nAnswer: 2304*l**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 {i: 3, q: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*t - 5, -6*t - 3*i - 20 = -5*i. Put t, -35, 1 in descending order.\nAnswer: 1, t, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1, 0, -0.5, 58?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32276 + 32276 + 3967072*p - 3967079*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*(-9)\/288)\/((-6)\/732*-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11303032 + 4?\nAnswer: -11303024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0*(-2)\/(-2))\/2. Let j(l) = -l**2 - 11*l + 4. Let g be j(0). Solve n = -6*t + 2*t - g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unsnussnnnssss. Give prob of picking 1 n and 1 s.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 212100312 (base 4) to base 2\nAnswer: 100110010000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/15 + 35775454*h\/15 = 0.\nAnswer: 0, 17887727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9) + (12 - -1) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-90 - -89) + (-6)\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 + 189\/((-15876)\/1680).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741797\/164 > 4523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12701*m**2 + 228622*m - 82. Give h(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1517940, 3035909, 4553878, 6071847, 7589816, 9107785?\n\"Answer: 1517969*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 2*m - 17. Let w be i(2). Sort -4, w, 138 in descending order.\nAnswer: 138, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2112202212?\nAnswer: 2112202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1108*f**2 + 30*f - 28. Let a be q(8). Round a to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 + 8*a + 8. Suppose 10 = -3*m + m. Let p be i(m). Let z = -7 - p. Solve 5*u + 18 - 8 = z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 19*g - 9. What is a(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -15, 9, 53, 123, 225, 365?\n\"Answer: n**3 + n**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 2*g + 32. Put 3, -4, -1, g in increasing order.\nAnswer: -4, -1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40072 (base 8) in base 10?\nAnswer: 16442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 69347 + 69424. Sort -4, c, 24 in ascending order.\nAnswer: c, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 671 = -x, 10*q - 6*q - 2*x = 896. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72480 and 3302672.\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:26 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j**5 + 2*j**4 - 3*j**3 - 2*j**2 + 5. Let u(y) = -33*y**5 - 9*y**4 + 12*y**3 + 9*y**2 - 21. Let v(w) = -21*r(w) - 5*u(w). Factor v(c).\nAnswer: -3*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70619 + 1558 = -536*s - 7151 for s.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8976)\/704)\/(6\/8)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2. Let v(o) = 80*o + 63*o - 21*o - 3*o - o. What is l(v(t))?\nAnswer: 69620*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1)*35\/(-14). Let h = p - 1. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, 6\/13, 0.05, -0.3, -501\/5, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 821276 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5083 = 4*z, -5*z + 2*d - 6*d = -6353. Suppose -13*v = -781 - z. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35398823 rounded to 4 decimal places?\nAnswer: -0.354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086013 divided by -2?\nAnswer: -1086013\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (135*x**2 - 137*x**2 + 96*x**2)*(5*x - 3*x - x)*(25 - 28 - 15 - 6) in the form h + c*x**3 + y*x + p*x**2 and give c.\nAnswer: -2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 1038.39 - -0.07?\nAnswer: 1038.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t - 2*q + 15, -5*t = 2*q - 34. Let m(x) = 891665*x**2 + 13*x - 18. Let h be m(t). What is h rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5600 divided by 350\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhefhiifveiefizfzeez. Give prob of picking 3 z and 1 v.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -3*q**5\/20 - q**2. Let r(s) = s**2 + 3. Let w(z) = 2*z**2 - 6. Let x(a) = 2*r(a) + w(a). Give x(p(l)).\nAnswer: 324*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69647 and 6060102?\nAnswer: 1557446214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 1 - 3 - s)*(2341*s + 39 + 105 - 2342*s) to the form l*s**2 + g + w*s and give w.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 826, -2, -3, -1, -87 in decreasing order.\nAnswer: 826, 0, -1, -2, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 204 and 0.001?\nAnswer: 203.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-six fifths of a decade?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -656997.5.\nAnswer: -656997.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 + 198. Suppose -w = 5*g + w - 60, -c = -5*g + 5*w. Solve -3*v - g = 3*x, x + 0 = 5*v + 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 773, 1163, 1553, 1943?\nAnswer: 2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42531 = 36*d - 43071 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7089, -14184, -21279, -28374, -35469, -42564?\nAnswer: -49659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64161 (base 9) in base 7?\nAnswer: 234445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -435637 (base 8) to base 12\nAnswer: -70827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (0 + 0)\/1. Let c(p) = p**3 + 9*p**2 + 8*p - 1. Let y be c(-8). Is y at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2 - 2*j = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - -33. Calculate the remainder when 9 is divided by t\/(-20)*(-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3070711 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11629 - 2324*i + 11629)*(-6 + 3 + 2).\nAnswer: 2324*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 6*v**2 + 73*v + 8. Let n be l(12). Calculate the highest common divisor of n and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 353 + -353.1. Suppose -3*t - 5 = -2*p, -4*p - 3*t - 35 = -0*t. What is the third biggest value in c, 0.14, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - k - 10. Let n be j(3). Suppose 2279 + 3288 = 5*u - 4*q, -n*u = 5*q - 5585. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34572, 3 in decreasing order.\nAnswer: 34572, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**26*d**(-1\/4)*d*d assuming d is positive.\nAnswer: d**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2217268649 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -389 + 397, 0 = 2*k + 5*w - 6416. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 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: Evaluate -29 + 32 + (-25)\/(675\/70 + -10).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 12*g + 14. Let p be q(4). Suppose 38 = 2*y + p. Suppose o + 47 = 2*a, -3*o - 65 = -3*a + 10. Calculate the remainder when a is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 2*u**4 + 0*u**2)*(11 + 12 + 0).\nAnswer: 46*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/6863859 and -43\/243?\nAnswer: 20591577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*g**3*z**5 - g**3*z**3 + 2*g**3*z**2 + 2*g**2*z**2 - 241*g*z wrt z?\nAnswer: 13860*g**3*z**2 - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 27. Suppose 3*j - l = -j. Suppose -j*n = n - 4. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -816 + 826. Let b(l) be the first derivative of 1\/3*l**3 + 0*l - s - 1\/2*l**2. Determine v, given that b(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 186801228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(220)*-3)\/sqrt(5))**2 + sqrt(176) + 1 + sqrt(176) + 1 + 3.\nAnswer: 8*sqrt(11) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*u + 8*u - 3*u**3)*(-616 + 616 + 62*u) to the form f*u**4 + h*u + j*u**3 + z*u**2 + y and give f.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*q - g - 3123, -3*q - g + 4701 = 0. Suppose 0 = -2*p - 510 + 1458. Suppose -12*n + p + q = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162727 - -237441. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 681, 0.2, -5, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3022*j + 3010*j - 2574 = 5954*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(85))\/((sqrt(280)\/sqrt(8))\/sqrt(7)).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 244920*v**4\/17 - 2204282*v**3\/17 + 6612858*v**2\/17 - 6612894*v\/17 + 54\/17.\nAnswer: 2*(v - 3)**3*(122460*v - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzgccdqzcg. What is prob of picking 1 g, 1 a, and 1 q?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203 and 27?\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o + 1. Let i be m(-2). Let f be (-60)\/(-33) - 6\/i. Calculate the greatest common factor of 18 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -c + 4. Let s(o) = 10*o**2 + 5 - o + 1 - c*o**2 - o**3. Suppose 5*p = 3*p. Determine s(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616039, -1232044, -1848049?\nAnswer: -2464054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10760 + 4?\nAnswer: 10764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*l + 237, l = -2*w + 57 - 18. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + 1. Suppose 0 = -2*u - q + 265. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 2. Let t(x) = x**2 - 6*x - 6. Let m(y) = 4*y**2 - 24*y - 25. Let c(b) = -2*m(b) + 9*t(b). Let a be c(7). Let l = a - -2. Give q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 11*y**2 - 2*y - 29. Let i(k) = -45*k + 4. Let l(g) = 7*c(g) + 3*i(g). Let j(q) = 2*q. Give l(j(t)).\nAnswer: 38*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 508 + -1526\/3. Let f = -4 - -4.03. Which is the closest to -2? (a) r (b) f (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1951001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/7 + 123*x**3\/7 - 459*x**2\/7 + 561*x\/7 - 222\/7 = 0. What is x?\nAnswer: 1, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4519224 divided by 65496?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(200)*-1 + (sqrt(6)\/sqrt(3) + 4 - (sqrt(18) + -5)).\nAnswer: 9 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 + 1 + 4*h**3 - 2*h**2 + 3*h**2. Let s(t) = t**3 + 2*t**2. Let j = -12 + 11. Let u(m) = j*s(m) + 2*x(m). What is the derivative of u(a) wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292957\/35 + (-14)\/70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6443 + 0?\nAnswer: 6443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -103940?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/3 + 5*c**3\/6 + 2*c**2\/3 - c\/2 = 0. Calculate c.\nAnswer: -1, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from {v: 3, p: 4, k: 3, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9176763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.1 (c) -2\/3 (d) -7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2\/5 - 91146*j\/5 + 546984\/5 = 0.\nAnswer: -30388, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1267576 and 253.\nAnswer: 13943336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1138 - -47. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**4\/8 - x**3\/3 + 17*x**2. Determine z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k - 1. Let p be 8002\/(-20) - 22\/(-220). Let b = p - -401. Calculate a(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**3 - 13*i**3 - 7*i**3 + (-4*i**2 + i**2 + i**2)*(4 + i - 4) - 1 + i**3 + 1 as c*i**2 + b*i + o + z*i**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -127, -196, -269, -346?\n\"Answer: -2*k**2 - 59*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(0 + sqrt(605)) - (2*sqrt(605)*4 + sqrt(605))) + (1*sqrt(720) - sqrt(45))\/(sqrt(45)\/(sqrt(5)*2)))**2.\nAnswer: 1480*sqrt(5) + 109545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwqcqoqoq. Give prob of picking 1 x and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 531857173 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.341, 1\/7, 2\/11 in decreasing order.\nAnswer: 2\/11, 1\/7, -0.341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - (18 - ((-13 - -3) + 39))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.82 * -6.3696.\nAnswer: 37.071072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 5. Let l(r) = -4*r - 4. Let d(x) = x**2 - 16*x + 4. Let y = 37 - 21. Let m be d(y). Let c = m - 7. Determine c*j(s) + 4*l(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-75))\/(-16*36\/(-48)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(2303\/4042)*(-1)\/(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5255 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7700 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 - 21*f + 27. Let r(p) = 19*p**2 - 62*p + 80. Let q(v) = -2*r(v) + 7*w(v). Is q(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 621 - 574. Solve 5*j = 22 - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and -176.868.\nAnswer: -160.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 2 - r**2 + 3 + 4376*r - 155*r.\nAnswer: r**2 + 4221*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 13. Suppose 2*t = -3*s + l, t + 3*s - 17 = -1. Solve 0 = c + t*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 2:09 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 0*t**3 - t**3)*(-10*t + t - 6*t).\nAnswer: 45*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50690 and 2220?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (903 + -880 + -1 + 46)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 2*v. Determine w(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -1.8, -15.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4880, -4904, -4928?\nAnswer: -4952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 91*n**2 - 179*n - 673. Give w(-4).\nAnswer: 1499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 14 = -4*g + n, -g - 3*n = -14. What is the remainder when 25 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 62*a - 3974. What is d(82)?\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - a + 6 - 8. Is 13 a factor of u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 430861816\/131 - 80910028627\/23580. Let s = -1292434\/9 - f. Let v = s - -1327. Calculate the common denominator of v and -73\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/185 - ((-6)\/(-14) + (-5100)\/875)\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 64, 69?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let g(r) = 3*r - 8. Let x(w) = w - 3. Determine i*g(c) - 8*x(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453867.038 rounded to the nearest ten?\nAnswer: 1453870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3534, 0.3, 0.18?\nAnswer: -3534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -160*i**2. Let s(x) = -155*x + 470*x - 156*x - 160*x. Give g(s(o)).\nAnswer: -160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 16. Solve 3*j - 3 = 0, n*v - 18 + 6 = 3*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 2. Let l(z) = -z**3 - 6*z**2 - 4. Let w be l(-6). Let a be 1\/2*(0 + w). Calculate u(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2503 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1387, 1\/4, 2\/231?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9380 is divided by 1985?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009086925 rounded to four decimal places?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95832 and 1944?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4183325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-16 - -8) + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from ntqdd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - c = 4*c - 17, -3 = 3*n - 3*c. Let g be 4\/6*n*(-75)\/(-10). Suppose 63 = g*t - 3*t. Solve w + 1 = 0, -t = 5*x + 2*w + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -24.08. Put -1, p, -0.2, -1\/4 in decreasing order.\nAnswer: p, -0.2, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2035?\nAnswer: 3\/2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**2 + 2*a**4 + 1 + 920*a + 913*a - 2*a**3 + 912*a - 2752*a + 1 as t*a**4 + g*a**2 + j*a**3 + s*a + z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y. Let w(n) = 575*n + 48. Let l(x) = -2*x - 8. Let b(v) = -6*l(v) - w(v). What is b(h(f))?\nAnswer: 5630*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -1, -3, 56, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7494 and 799463667.\nAnswer: 3747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8669.4 + -1296.4. Let j = -7373.04643 + l. Let b = 0.046 + j. Round b to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137811 greater than -138036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.057 + -9.28. Let m = 0.049 - q. Let d = -1.7 - m. Round d to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apua when four letters picked without replacement from {a: 3, u: 1, p: 3, s: 4}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*((-45)\/(-5))\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 10) to base 5\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 + 4.4. Let i = t + -12.2. Which is the third smallest value? (a) i (b) 4 (c) 13 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - o**2 - 2. Let c(s) = -s**3 - 6*s**3 + 9 + 0*s**3 + 2*s**3 + 4*s**2. Let r(f) = -2*c(f) - 9*h(f). Find the third derivative of r(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.4 (c) -2\/13 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -483 - -144. Let n = s - -528. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x + 4480. Let j(r) = 552*r. Calculate j(o(f)).\nAnswer: 2760*f + 2472960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 - 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 8*y**3\/21 - 261*y**2 - 914*y\/7 - 5371. Factor z(i).\nAnswer: 2*(i - 457)*(4*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8794829*f**3*u**2 + f**2*u**2 - 21*f**2*u + 57*f**2 - 202*u wrt f?\nAnswer: 52768974*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -3*f + 467, 364 = -3*l + 5*f. Let g = -110 - l. Solve 6*y + g = 7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -3, 4, 3\/5, 3, 1521, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2416 or 2415?\nAnswer: 2415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, o: 16}. What is prob of picking 3 o?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019274335 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/6)\/(-4)*2\/(-2). Suppose 6*p - 32 + 8 = n. Suppose p*s + 1 = 13, 0 = 2*b - 2*s - 70. Solve 4*v + b - 12 = 3*u, 3*v = -15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/281 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*z + 106 - 41, -q + 3*z + 30 = 0. Let n(y) be the second derivative of y**3\/6 - 2*y**2 + 20*y. Is n(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435474671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149011*m*r**4 + 16*m*r**2 + 3*m + 598993 wrt r.\nAnswer: 596044*m*r**3 + 32*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1601 and 24900353.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h*h)**(-31\/5))**(-2\/55)*((h*h**(4\/5)\/h)\/h**(-3))\/(h*h**3*h*h*(h*h**(-1))\/h) assuming h is positive.\nAnswer: h**(-392\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -150 * 89.39\nAnswer: -13408.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.4 - -8.44. Let a = -0.04 + q. Put a, -3\/7, 0.3 in descending order.\nAnswer: a, 0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 2*a - 5*a**3)*(-3*a + 6*a - 2*a) - 114*a**4 - 2272 + 2272 to the form g*a**4 + q*a**2 + y + l*a + o*a**3 and give g.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/((-10)\/45*-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (21 - -32) + -160.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 11:39 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.06, -0.1, -0.4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - -5163044250?\nAnswer: 5163044345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o**2 + 0*o**2 + 3 + 5*o**2)*(2*o**3 + 2*o**3 - 7*o**3).\nAnswer: -15*o**5 + 6*o**4 - 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(130*99\/(-3300))?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/f**(-1\/11))\/(f*(f**(-14)*f)\/f*f*f*(f**(-10)\/f)\/f) assuming f is positive.\nAnswer: f**(166\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0866819*-65.\nAnswer: 5.6343235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*c**3\/7 - 2484*c**2\/7 + 102339*c\/7 + 41334\/7 = 0. What is c?\nAnswer: -2\/5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1346*i + 4564 - 53470 = -136*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlclcllr. What is prob of picking 2 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 122, 4 in increasing order.\nAnswer: 2, 4, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3352*h - 3348*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, u: 1, w: 7, g: 2, b: 2, d: 3}. Give prob of picking 1 b, 1 u, and 2 d.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 283 - 59 - a**2.\nAnswer: a**2 - 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -3, 0.5, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.248 and 0.5?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 15) in base 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 17*t - 740 = -66*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, -2, -5.\nAnswer: -5, -2, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 287, 954, 2255, 4400, 7599, 12062, 17999?\n\"Answer: 35*y**3 + 2*y**2 - 8*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:17 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5564 and 9844.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 178.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11196 by -4.\nAnswer: 2799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008453098 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-137*c + 3581 + 372*c - 234*c).\nAnswer: c + 3581","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 20. Solve -2*s + 2*f = 10, -5 = 4*s + 3*f - j*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/8)\/(-1 + -2). Let y = 1.359 - 1.389. Let g = 4 - 3. What is the third smallest value in g, b, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*q**5 - q**4 + 48*q**3 + 2621*q?\nAnswer: 520*q**3 - 12*q**2 + 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 9281913.\nAnswer: 92819130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -70?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -8*q**5\/11 - 11512*q**4\/11 - 34434*q**3\/11 + 43072*q**2\/11 - 11488*q\/11 = 0.\nAnswer: -1436, -4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 2, k: 3, m: 1}. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y, 2 = 2*d + 2*y. Let a be (d - 4) + 9 - 1. Solve a*w + 19 = 3*q, 5*q = -w + 4 - 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 5*x + 4 + 16, 3*b + 5*x = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l + 52632 = 63*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -184, 4, -2 in ascending order.\nAnswer: -184, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) + (-249)\/502. Let v = 999\/1255 + i. Determine w so that 14\/5*w**3 + 0 - 14\/5*w**2 - v*w + 24\/5*w**4 = 0.\nAnswer: -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) + 2 + (-248)\/84. Put p, 1\/3, -0.1, 7 in ascending order.\nAnswer: p, -0.1, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202 + -199. Solve 0 = -m*a - d + 1, 2*a - 1 + 12 = -3*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3) - 102\/153?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a day?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-28) - 8\/(504\/(-23))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -486*p**4 - 188883*p**3\/2 - 59583*p**2\/2 + 148554*p + 84390 = 0. Calculate p.\nAnswer: -194, -1, -2\/3, 145\/108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7703, 7555, 7427, 7319?\n\"Answer: 10*p**2 - 178*p + 7871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-54))\/(2\/(-60))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60373 - 60371. Let u(a) = -a**3 + 5*a**2 + 3*a - 4. Let o be u(5). Solve 0 = f*d + 2*d - 5*c, -d + o = -4*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3 (b) 2.6 (c) -188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4744461410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17517371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 10. Let m be (-8 - s) + 0 + -1. Let j = 3 - m. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.1. Let f = 1 + -1.1. Let o = -201 - -1811\/9. Which is the nearest to f? (a) -3\/2 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**2 + 6*k**2 - 32*k + 4*k**2 + (4*k - 2*k + 0*k)*(-k - 2*k + k) + k**2 + k**2 - 3*k**2.\nAnswer: -3*k**2 - 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 159*y + 2. Let h(n) = -6266*n. What is j(h(p))?\nAnswer: -996294*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j - 4*u = -51*j - 18, -2*u - 24 = 3*j. Calculate the remainder when -3 + (-20)\/(-6) - 1216\/j is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 7*g**2 + 2. Suppose -14 = -2*a + l + 3, 0 = -a + 3*l + 16. What is the lowest common multiple of a and u(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3))**(-21)\/(t**(-7)*t*t**(-1\/6)))**(-25) assuming t is positive.\nAnswer: t**(-1975\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 2*m + 0*m + (-5 + 4 + 3)*(4*m - 4*m + 3*m) + (5*m - 4*m + 2*m)*(-1 + 0 - 1).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -2, 0, -2\/7, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 452 + -212. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289636 is divided by 6436?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42138 take away 45379?\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 17*g**2 + 16*g + 2. Let b be k(16). Solve -b*u + 5*u - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1\/31, 194\/25, 3\/5 in descending order.\nAnswer: 194\/25, 5, 1, 3\/5, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2128274557 to the nearest integer?\nAnswer: 46133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2284 - -56?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3421 (base 11) to base 5.\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -50*y + 305. Let u be t(6). Let s(w) = w**2 + 5*w - 1. Let n be s(-5). Let o be n + 6\/3 + 3. Solve k = -o*k - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/23? (a) 490\/13 (b) 1.1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5*r + f**3 - 330*f**2*r + 2*f**2 + 3*f*r - 2*f + 58*r wrt f?\nAnswer: 20*f**3*r + 6*f - 660*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.97 + 5.97. Which is the closest to 0? (a) d (b) 7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9))**(-6))**(2\/5) assuming y is positive.\nAnswer: y**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((5 + sqrt(2736) + -2)*-3)**2 - ((-1*-1*sqrt(2736) + sqrt(2736) - sqrt(2736)) + (sqrt(2736) - (2 + -1 + sqrt(2736))))**2)*6.\nAnswer: -659040 - 20160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2356836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9536248.7 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 14. Let s be d(12). Solve -8 + 3*j**3 - j**2 + 2*j**3 - 19*j**s + 25*j - 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2816 + 2818. Solve -7 - x = -3*c - 3*z, -4*c + 2*z = -12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161110787?\nAnswer: 3, 29, 13346101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356096 is divided by 270?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:49 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*d - 3*c, 728*d + 16 = 724*d - 5*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4. Which is smaller: -2\/65 or k?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(1 - (12712\/6354 - 1)). Suppose -3*l + u = -56*x + 58*x, 4*l - 4236 = 4*x. List the prime factors of l.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2\/8 + 75*d\/8 + 81\/4 = 0.\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(175)\/sqrt(5))\/sqrt(7) - sqrt(5)) + -1))**2 + sqrt(375)\/sqrt(3) + (sqrt(40)\/sqrt(8)*-6 + sqrt(5))**2.\nAnswer: 5*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvvffvf. Give prob of picking 3 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*o**2*v**2 + 84*b*o - 2*o**2 - o*v**3 + o*v + 119*v**3 wrt v.\nAnswer: -4*b*o**2 - 6*o*v + 714*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32 - a**5 + 5*a**3 + 32 - 3*a**2 - 5*a**5 + 4*a**5 + 3*a**5 - 2*a**5 + 6*a**5 - 2*a**5 + (-4*a**5 + 5*a**5 - 2*a**5)*(-4 + 1 + 1).\nAnswer: 5*a**5 + 5*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from vtf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Suppose 3 + 0 = -y*b, -5*b = 5*d. Sort -3, -5, d in descending order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3 - 27*s**2 + 44*s + 672 = 0 for s.\nAnswer: -4, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*l**2 - 1550*l - 98774.\nAnswer: 2*(l + 29)*(32*l - 1703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - a + 6 - 4*a - 14. Let z be x(-8). Suppose -4*d = -7*d + z. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v - 47*v - 1768 = 0. Suppose -2*c + 446 - v = 0. Calculate the remainder when 2 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -228, -230, -232?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 + 19 + (0 - 7). Let b(q) = -q**2 - q + 2. What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675999 (base 14) to base 13.\nAnswer: 95c3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01166026 to 5 dps.\nAnswer: -0.01166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a - 9. Let w(f) = -f + 1. Let t be w(a). Is t < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -26*u**3 + 16*u**2 - 17*u - 41. Let w(r) = 9*r**3 - 5*r**2 + 6*r + 14. Calculate -6*a(s) - 17*w(s).\nAnswer: 3*s**3 - 11*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -149*p**7\/42 + 83*p**4\/12 + 85*p - 54. Let i(a) be the first derivative of t(a). Find the third derivative of i(l) wrt l.\nAnswer: -8940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 + 27*v**2 + 23*v - 5. Calculate z(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkcp when four letters picked without replacement from {v: 1, h: 2, k: 2, x: 2, c: 2, p: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = -23*b + 6, 3*b = 2*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2 + sqrt(108) + 1)**2 - ((sqrt(108)*2 + -2 - sqrt(108))**2 - (sqrt(108) + 0 + sqrt(108) + -3 + sqrt(108) - sqrt(108))))*-6.\nAnswer: -144*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1138*x + 1107*x = -12276. Calculate the highest common divisor of 2628 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43980769, -43980761, -43980753, -43980745, -43980737, -43980729?\nAnswer: -43980721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130161 and 1935?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 999.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 + 1. Let c be g(6). Suppose m - 2*m = -c. Let d(b) = 3*b - 1. Let n be d(m). Sort n, -1, -9 in descending order.\nAnswer: n, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -29 - (1167 - 1200).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 3*p + 0*p**3 + 1\/15*p**6 - 1\/5*p**5 + 1\/6*p**4 + 0*p**2 + 0. Factor i(u).\nAnswer: 2*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -49. Let m(l) = l**3 - l**2 + 2*l - 2. Let k be m(2). Suppose 5*y + 19 + k = 0. Sort h, y, 0.4 in decreasing order.\nAnswer: h, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 7, 2251, -3.\nAnswer: -5, -4, -3, 7, 2251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1152, 2304, 3456, 4608, 5760?\nAnswer: 6912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:08 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*-2)\/sqrt(8) + 2 - (sqrt(65)*-2*5)\/(-1*sqrt(20)).\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7665\/(-770))\/(-73))\/((-20)\/(1280\/12)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*j - 3 - 7, 0 = -3*c - 2*j - 4. Suppose 4*t - 12 = 2*n - 4*n, c = 2*n + 3*t - 10. Suppose n*o = 12 + 8. Is 10 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3878 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2768739 divided by 922913\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3*i + 24, 0 = d + 3*i - 1 - 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 + 44 = 30*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1114, -2964, -6054, -10390, -15978, -22824, -30934?\nAnswer: -40314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + -10 + 18 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304) - 6*(sqrt(2304)*-2 + sqrt(2304)) - sqrt(2304) - sqrt(2304))\/(sqrt(24)\/(sqrt(72)*-1)))**2.\nAnswer: 172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*f = 11, 3*f - 37 = 8*y - 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 + 174. Suppose 0 = 3*f - q, 2*f = 4*l + f - 319. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/6 and 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/60*10\/(-4). Suppose 4*b + 2*h + 24 = 0, -b + h + 2*h = -1. Sort 4, b, r in descending order.\nAnswer: 4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 + 40. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.9*-2.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 4*v**2 + 5*v + 8. What is the least common multiple of 1 and c(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32909184 divided by -31164.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o*o)\/o*o)**(-34\/7)*(o**0)**(-25) assuming o is positive.\nAnswer: o**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1\/5, 1, 1\/3, -1\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 12*b**2 + 299*b + 1541. Determine t(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3058102465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, -1, 36 in descending order.\nAnswer: 36, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c3 (base 15) in base 7?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 - (0 + 18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 58*m + 16*m**2 - 22\/3*m**4 + 19\/5*m**5 + 38\/15*m**6 + 8\/21*m**7 + 0 - 56\/3*m**3. Let r(q) = 0. What is q?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3617632*y**3 + 3617643*y**3 + 0 + 0 + 0.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 1. Let y be (-707)\/c - (3\/5)\/3. What is the greatest common factor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:17 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 38 = i, -i - 106 = 2*i + n. Let z be (28\/i)\/(2\/(-5)). Is 2\/3*111\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 26915 - 24469 = -9624. What is the least common multiple of p and 880?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27 - y**6 + 9*y**4 + 8*y**4 + 2*y**2 + 47*y**5 + 11*y**4 - 28*y**4 wrt y?\nAnswer: -120*y**3 + 2820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 41*u - 1642. Give w(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -102296236.9 to the nearest 10000.\nAnswer: -102300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4099*p**5 - 4223*p**3 + 395993000*p**2 - 1 wrt p.\nAnswer: 245940*p**2 - 25338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -6 - -4) + 1. Solve -5*s = -u*r - 4*s - 18, 4*r + 24 = 4*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*d - 147, -5*f - 3*d - 2*d = -140. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 23088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28210220 divided by 5642044.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2 + b + b)*(17 - 82 - 35).\nAnswer: -100*b + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 96932?\nAnswer: 678524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 12. Let x be c(-5). Suppose -2 = 2*y + x*u - 4*u, -4*y + 20 = 2*u. Suppose -y*d = -4*d - 9. Solve -4*k - 9 = d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9389271t to micrograms.\nAnswer: 938927100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*g + 184*g - 190*g - 5632 = 0 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-111 - -105)*(-11)\/((-88)\/28)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s + 5. Let i(b) be the first derivative of 2\/25*b**5 + 1\/10*b**4 + 0*b**2 - 2\/15*b**3 + 0*b - 1\/15*b**6 - s. Factor i(n).\nAnswer: -2*n**2*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4358*u**2 + 40*u**4 - 38*u**6 - 4194*u**2 + 10*u**3 + 36*u**6 + 13*u**3 wrt u.\nAnswer: -240*u**3 + 960*u + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184136645*w + 283694638 wrt w.\nAnswer: 184136645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15307501 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*q**5 - 8468*q**4 - 8*q**2 - 9429660*q - 3?\nAnswer: -6800*q**3 - 101616*q**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.634 - -0.266. Let i = 19 + -39. Let b = i + u. What is the third biggest value in 0.5, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 142.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*u + 1 - 3, -3*u - 3 = -3*v. Suppose -18*j = -16*j - 25 + 3. Solve -5*p - v = -j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13\/((-39)\/(-2)) + (-16491)\/(-9) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(8*a**2 - a - 6*a**2 + 6*a).\nAnswer: 2*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 106.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 6704150*m + 2247281361125 = 0.\nAnswer: -670415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 9222*i**2 - 63783963*i.\nAnswer: -i*(i + 13833)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/39 + (-66308)\/4719 + 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -44 - (13 + (4 - 6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + 3) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7278?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 310890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1375161 and 36782.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p**3 - 35 + 35)*(2*p - 4*p + p).\nAnswer: -19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -589 in 5, -18, -4, 4\/29, -2\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49 (b) -52 (c) -4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 2*b - 2. Let o be a(2). Let k = 23 - o. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 + 22*p + 59. Let k(t) = 2*t**2 + 4*t + 10. What is 6*a(n) - 34*k(n)?\nAnswer: -2*n**2 - 4*n + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/44 and 83\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znznwnnwnwz. What is prob of sequence zn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34938 and 22?\nAnswer: 384318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 + -445?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 35. Let r = k + -4. Solve -r*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h - h)*(-401 + 263 + 248)*(1 + 0 + 1).\nAnswer: 220*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000624008 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83650 and 358500?\nAnswer: 2509500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**5 + 476*a**4 + 988*a**3 - 2396*a**2 - 2904*a = 0.\nAnswer: -3, -1, 0, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7529717 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynn when three letters picked without replacement from nnnyyyy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 185328*r + 1668112. Determine c(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-18) + 8840\/153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -t + 4*a, 3*a + 5 - 2 = 0. Let z(v) = -3 - 2 + 2 + 8*v**t + 2*v**2 + 2. What is z(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 17 = -x, -4*x - 2*o + 12 = -4*o. Let v be 1 + x - (1 + -3). Solve 5*d - d + 4 = -2*q, -6 = q + v*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 0*y - 660 = 110*k, 208 - 238 = 5*k - 2*y for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -22. Suppose d*m - 10 = 2. Solve m*w = 1 + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/63)\/(26\/(-117))*((-950)\/15)\/19.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-15)\/90*-21\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*l**2 + 22*l - 76 + 78 - 161*l**2 + (6 - 1 - 3)*(2 - 2 - l**2) in the form w + v*l**2 + s*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + sqrt(175) + sqrt(175) + -3 + (6*sqrt(175)*-1 - sqrt(175))*3)**2 + -4.\nAnswer: 570*sqrt(7) + 63180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)\/z*z\/z**(2\/15)*z*(z\/z**1)**(5\/3))\/((z\/(z\/z**(-2\/7)))**37*z*z*z**2*z*z**0*z) assuming z is positive.\nAnswer: z**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*v = 250*v + 1054 - 125 + 713 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6379 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: What are the prime factors of 3837?\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3145 and 89\/68?\nAnswer: 12580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5661 to two decimal places.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from saisaiuuaiiui?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -49*q**5\/60 - 35*q**4\/18 + 26*q**3\/9 - 4*q**2\/3 - q - 60. Determine u, given that c(u) = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 7. Let q(i) = 3 + 13*i**2 + 2*i**2 + i**3 - 6*i**2 + 2*i - 8*i**2. Let c be q(-2). Let l(b) = b - 3. Determine c*l(s) + 2*d(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2100, -4200, -6298, -8394, -10488, -12580, -14670?\n\"Answer: x**2 - 2103*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -204160\nAnswer: -3\/204160","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 112*w + 9678. Determine v(-82).\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130667 = -28*k - 13*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -23*n + 3*n + 4*n + 10*n + 9*n. Let l(m) = -209*m**2 - 2. Determine s(l(q)).\nAnswer: -627*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9528*v - 9501*v + 18580*v)*(-1 - 1 + 0) to u*v + p and give u.\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646356 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2))**(-16))**42 assuming v is positive.\nAnswer: v**(-2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 14, l: 1}. Give prob of picking 2 n and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120055 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/50 and 107\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-500)\/12)*5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(72) + 4)**2.\nAnswer: 288*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216807 is divided by 12025.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 6 (c) 0.11 (d) 506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -281, -379, -569, -881, -1345?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 499 - 498.9559. What is x rounded to 3 dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425)*3)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = -3*r, 0 = -5*r + 3*i - 0*i - 35. Let p be (-1)\/(-9)*(12 + r). What is the second smallest value in -4\/5, p, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:51 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237497679731 + -0.1.\nAnswer: -237497679731.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2699? (a) -2 (b) -18 (c) 0 (d) -1\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175848305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 21. Let c be (15\/9 - n)*-1. Sort 2, 0.2, c.\nAnswer: c, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9228*j**4 + 2711 wrt j.\nAnswer: 36912*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4104250 + -12?\nAnswer: -4104302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - 5a?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5495 + -5?\nAnswer: -549a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.152432 rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2045\/23 - -89. Find f such that 2\/23*f + n*f**2 - 4\/23 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111200955 take away 150.479?\nAnswer: -1111201105.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.3 (c) -3 (d) 1\/6 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1148\/369 + 9\/(-12 - 69).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 27*z + 346. Calculate j(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 9:09 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-32)*p)**(1\/14) assuming p is positive.\nAnswer: p**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29159816 divided by -2909?\nAnswer: -10024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1682 + 1686. Solve -m*y - 2*c + 19 = -c, 0 = -5*y + 4*c + 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-21\/2)*i**(2\/29))**(10\/13) assuming i is positive.\nAnswer: i**(3355\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 2*z - 5. Let b be q(-3). What is the units digit of -2 - (-2 - b) - -112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -10*h - 6*i + 87, 17*i - 20*i + 45 = 2*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4487 * -0.4.\nAnswer: -0.17948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 - 83 = 0. What is the remainder when a is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. What is the second derivative of 4*d**4 - 13 + 5*d**m + 6*d + 13 wrt d?\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 33*a**2 + 665560 - 3*a**3 + 6*a**3 - 665580 + 16*a**2.\nAnswer: 3*a**3 + 45*a**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 11*i + 9. Suppose i*h = 4*x - 1350, 2*x - h = -6*h + 669. List the prime factors of x.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/25 - (-2924)\/(-10). Let v = f - -162. Round v to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose 5*d = 4*q - 28, 5*d = 4*d - 2*q. Which is the second biggest value? (a) f (b) d (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/9 + 1313*r**2\/3 - 531505*r\/3 + 170796977\/9.\nAnswer: -(r - 3497)*(r - 221)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (95\/(-76))\/((-5)\/4). Which is the nearest to y? (a) -0.3 (b) 0.046 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 12) to base 2.\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/22683 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/4*(-80)\/240?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-12))\/(-5*(-15)\/25)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1363\/174)\/(-47)*3*38.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277472 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, 0.3, -6, -0.8 in descending order.\nAnswer: 3\/4, 0.3, 0, -0.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w. Suppose 7*k = 4*k - 4*r + 14, -4*k - 5*r + 18 = w. Let g(n) = 9*n + 2. List the prime factors of g(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*d + 63*d - 17*d**2)*(3 + 0 - 5) - d**2 + 3*d**2 - 4*d**2 + 0*d**2 - d**2 + 0*d**2.\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 669*u**5\/20 - 389*u**4\/4 + 1862*u. What is the third derivative of m(p) wrt p?\nAnswer: 4014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1218\/7105)\/(2\/28). Let v(g) = 37*g - 107. Let a be v(3). Factor -3*r**3 + 3\/5*r**2 + 3\/5*r**5 + t + 24\/5*r - 3\/5*r**a.\nAnswer: 3*(r - 2)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448825526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88023 is divided by 9768?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109843207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197914 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*d = -148, -3*n + 15*d + 0*d - 114 = d + 11*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 4*s**2 + 4*s. Let z(q) = 4*q**2 - 7. Let p be z(0). Let g(u) = 0*u**3 + 7*u - 2*u**2 - 3*u**3 + 9*u**2. Calculate p*k(m) + 4*g(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 108*h - 430. Give f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from osspe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21315)\/150)\/(-29) - (-2)\/20. Is p greater than 111\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8833*d + 3*d**2 + 4555*d - 4*d**2 + 4278*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*x + 6*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 3. Let r be n(0). Solve -2*a = -4*b, r*a + 0*b = -3*b - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 26*t - 86. What is w(-1)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/94 and 56\/5?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -477, -957, -1439, -1923, -2409?\n\"Answer: -y**2 - 477*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**6\/120 + j**3\/3 - 7*j. Let k(m) be the second derivative of f(m). Let v(u) = -8*u**2. Determine v(k(c)).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91861931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2040 + 2*t - 12836*t**2 + 2044 - 4084 as n*t**2 + g + l*t and give n.\nAnswer: -12836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/8 - 3913*t**3\/4 - 15459217*t**2\/8 - 144122781*t\/2 - 140259933\/2 = 0.\nAnswer: -3894, -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-13 - ((-24)\/8)\/(-3)). Solve -1 = -l*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-583902)\/(-242) - (-6)\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17635 + -0.29635. What is the nearest to -6 in -3, -0.9, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1310*h + 15085 = -1303*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f = -32*f + s + 5, -2*s - 11 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 75c8a (base 16) to base 8\nAnswer: 1656212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/5, 0.013, 2, -0.05 in ascending order.\nAnswer: -17\/5, -0.05, 0.013, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 128488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 486*m + 0 + 2*m**3 - 33*m**2 - 2 - 974*m + 486*m to the form w*m**2 + y*m + s + h*m**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 6:26 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 92 = 292. Suppose k = 3*f + 7. Calculate the highest common factor of 66 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 1, c: 1, n: 1, j: 1, t: 2}. Give prob of sequence ncz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 143*s + 121. List the prime factors of f(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.287 - 38.713. What is the third biggest value in -0.2, n, 2, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(4004\/(-110)))\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2 + 2*p - 228.\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164080 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4325)\/(-107260)*(-336)\/105.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 12. Suppose 2*b + 8 = 3*o, -4*o = 5*b + h - 29. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15906, 15880, 15824, 15726, 15574, 15356?\n\"Answer: -2*a**3 - 3*a**2 - 3*a + 15914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -3)\/((-24)\/4 + 14\/(-4))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68873 * 5.\nAnswer: -344365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (730\/150 - -3)*3\/(-750) and -92\/45.\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) 10 (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 1. Suppose 4*s + 12 = -3*b - 3, -4*b = 2*s + 10. Let g(d) = -8*d**2 + 3*d + 4. Determine b*g(c) + 4*u(c).\nAnswer: 8*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1808928*n - 1636244*n + 4958825*n.\nAnswer: 5131509*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f + 4. Let m(k) = k**3 + 23*k + 11. Let i(y) = -4*m(y) + 11*q(y). Find the second derivative of i(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1660 and 41\/18758?\nAnswer: 187580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26252.2t?\nAnswer: 26252200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j. Let u be q(-2). Let h(s) = 5*s + 3. Let m be h(u). Let x be (-2)\/(0 + m*1). Which is the third smallest value? (a) 0.1 (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swsvveswwwwswssswss. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aggo when four letters picked without replacement from {a: 3, j: 2, g: 5, o: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Is 4 a factor of 22\/4 - (-1)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or -1\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c - 5*k - 3, -k = c + 3. Let x(s) = s**3 + 4*s**2 - 4*s + 1. Give x(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f61 - 1e3?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Let y = w - 1. Let s be (48\/18)\/8*12. Solve 0 = -s*j + 1 + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/18534 and -11\/6?\nAnswer: 18534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*g**6 + 85*g**5 - 22*g**4 + 713688*g**2 wrt g?\nAnswer: 2640*g**3 + 5100*g**2 - 528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Suppose -3*c + 17 = 2*z, u*z + 5 = 2*c - 0*c. Suppose -2*f = 3*l + 3, -6*l - c = -2*l + 3*f. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, o: 2}. What is prob of sequence qoq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q**5 - 1520854*q**4 - 12532589530*q**3 + 628935750478*q**2 - 7853038936400*q - 342626420000 = 0. Calculate q.\nAnswer: -16556, -1\/23, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 80. Let w = 0.34 - 0.14. What is the nearest to w in 1, -1\/6, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -7. Let h(m) = m**3 - 6*m**2 + 4*m + 7. Let n be h(5). Let c(v) = n*v**3 - v - 8 - 6*v - v**3 + 5*v**2. Calculate c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 1. Let s(h) = 2*h - 1. Let f(g) = 3*l(g) + 4*s(g). Let w = -87 + 87. Suppose n = -5*i - w + 30, 0 = -5*i + n + 30. What is f(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.3 + 18. Let b = 276 - 275. What is the third smallest value in 0.2, -0.4, s, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c**2 - 2 - 1 + 1 - 32*c**2. Let p(n) be the first derivative of -n**3\/3 - 132. What is b(p(a))?\nAnswer: -23*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w. Let r(u) = -72*u + 34. Give r(t(g)).\nAnswer: 216*g + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 72 = -27. Calculate the remainder when 53 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 515 + -515.1. Which is the closest to 0.1? (a) -3 (b) r (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1081, -3, 2 in descending order.\nAnswer: 3, 2, -3, -5, -1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3274374 + -5?\nAnswer: 3274367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6093359, -6093251, -6093141, -6093029?\n\"Answer: z**2 + 105*z - 6093465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -890*v**2 + 539336*v + 2424.\nAnswer: -2*(v - 606)*(445*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -880, -874, -888, -928, -1000, -1110, -1264?\nAnswer: -1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -329 and -335 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1354 - 886. Let q = a + -463.09. Let d = 5 - q. What is d rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 81*h - 2692. What is q(106)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**10\/2520 + b**6\/18 - 25*b**3\/3 - 10. Let w(m) be the third derivative of s(m). Find the third derivative of w(u) wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 60000. What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 389687 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 7*c**2 - 8*c - 7. Let z be u(-6). Let h = -1 + z. Let m = 7 - 12. What is the closest to -1 in h, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = -6. Suppose -h*f + 5 = -5*b, -2*f - 2*b + 3 = 5. Solve f*l = -2*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(((-24)\/(-56))\/((-4)\/(-14))). Suppose a = -v - 3*a + 88, 296 = 3*v + x*a. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -1274, -2904, -5196, -8150, -11766?\nAnswer: -16044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**3 - 28*t**3 + 0*t**3 + 6*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-5)\/30*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 2*v**2 + 3*v - 6. Let p be g(-5). Let j = p + -86. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 less than -553?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -4*q + 5*o - 35, 2*o = 10. Find the third derivative of 12*n**4 + 3*n**q + 21*n**2 - 6*n**2 wrt n.\nAnswer: 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -142*d**2. Let q(j) be the first derivative of j**3\/3 + 83. Give b(q(s)).\nAnswer: -142*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/155, 72, -1, 1 in increasing order.\nAnswer: -5, -1, -3\/155, 1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1355353591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-30))\/((-7)\/(70\/8))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.27345, -4, -2, -0.5?\nAnswer: 0.27345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 39, -3, -2988 in descending order.\nAnswer: 39, -3, -4, -2988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3366 or 3\/133?\nAnswer: 3\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p**3 - 6*p + p**2 - 3*p - 5*p + 9*p to the form j*p + f*p**3 + v + c*p**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -q - 3, 21*o = 4*q + 18*o + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5, -0.3, 1\/11, -0.13?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9935275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999481540?\nAnswer: 2, 5, 31, 223, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:40 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 717191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -25424674?\nAnswer: 25424677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-11269.\nAnswer: 45076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1297866, -2595807, -3893748?\nAnswer: -5191689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 57*k + 19. Determine d(-3).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from exfadaxdxaafxfxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4332160 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 922*v**2 - 21*v + 111601?\nAnswer: 1844*v - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196178689?\nAnswer: 7, 2347, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856863 is divided by 445?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/27, 4, 0.12, 1, -4 in ascending order.\nAnswer: -4, 0.12, 10\/27, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + 1 + 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2770 + 4317. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 + 3*d - 1. Let k be l(-2). Let s = k - -50. Suppose -120 = -4*v - v. Calculate the remainder when s is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10101001100100110011?\nAnswer: 10101001100100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 934?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiiiiuuiuiiiiiuiii. What is prob of sequence ii?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/55 - 103*c**4\/66 + 1300*c**3\/33 + 676*c**2\/11 + 2*c - 276. Suppose x(b) = 0. What is b?\nAnswer: -1\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53691, -105703, -157713, -209721?\n\"Answer: y**2 - 52015*y - 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/120)\/(2\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2)\/(s**(-2\/7)*s)*(s**(-2))**(-2\/23))\/(s**(-2\/11)*s**(-2\/19)*s*s*s**(-4\/5)\/(s*(s\/s**(-7\/2)*s)\/s)) assuming s is positive.\nAnswer: s**(2371147\/336490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16*r**2 + 2*r + 2. Let g be n(-1). Suppose -6*j + o = -j - g, 4 = 3*j - 2*o. Let p be 6 + (-588)\/63 + 12\/9. Sort -1, -4, p, j in increasing order.\nAnswer: -4, p, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872 - 691 - 867 + 52*n**2 - 867 + 3297.\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3369 - 2113. Suppose -4*m + 5*q = -6758 + 1287, 2*m = -3*q + v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 divided by 728?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b + 4. Let j(q) = -q - 10. Let m be j(-6). Let a be i(m). Let v = a - 6. Calculate the least common multiple of v and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*p - 118 = 15, 4*j = 3*p + 506. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340 + -350. What is the units digit of (3 - 4 - 9)\/(1\/a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqcq when four letters picked without replacement from {q: 5, c: 14}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -5, -10, -66, -2 in decreasing order.\nAnswer: 10, 1, -2, -5, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3335c - -29?\nAnswer: 33387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.1 * 0.3.\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b = -35*b - 4*o + 69, -4*b - 51 = o. Let z(y) = -4*y**2 - 18*y + 17 + 5*y + 3*y**2. Calculate the remainder when z(b) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/2691 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2\/5*r**2 - 6\/5 - 2*r + 2\/5*r**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29355 divided by 5\nAnswer: 5871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 10*a - 16. Let d be p(6). Let q(o) = o**3 - 22*o**2 + 4*o + 472. Let r be q(0). Calculate the highest common divisor of d and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -27*u**2\/2 - 13*u + 19. Let f(a) = 7*a + 3. Calculate -9*f(b) - 2*w(b).\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 5*h + 3. Let w be c(5). Suppose 3*v = w*n - 90 + 6, 8 = n + 4*v. Suppose 2*q = 5*q - n. What is the remainder when 21 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17*w = -98. Let g be (2 - 1) + 3 + w. Let b(c) = c**3 + 2*c**2 - c + 6. Let o be b(g). Solve o = -v - 0*a + 5*a + 20, -2*a + 19 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 149. Let d(t) be the second derivative of -t**4\/2 + 2*t**3\/3 + 5*t**2\/2 + 164*t. Let x(b) = -9*b**2 + 6*b + 8. Give y*d(a) + 5*x(a).\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 3322*c**2 - 16637*c + 7. Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 99*y**2 + 576*y + 780.\nAnswer: 3*(y + 2)*(y + 5)*(y + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 1\/65, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {n: 4, q: 1, y: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/160 + 5*z**4\/96 + z**3\/16 - 9*z**2\/16 + 6*z. Factor j(y).\nAnswer: (y - 1)*(y + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1538 divided by 3777\nAnswer: 1538\/3777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1130, 2254, 3382, 4532, 5722, 6970, 8294?\nAnswer: 9712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 7*p**2\/2 + 40*p + 6. Let u be j(-6). Sort -5, u, 0, 4 in descending order.\nAnswer: 4, 0, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49246839 to the nearest integer?\nAnswer: 7018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -276.2. Let o = 112 + h. Round o to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369\/270 + 44\/(-33)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 1604 = 0. Suppose m - p = -m. Let t = m - 186. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**4 - 144*d**3 + 2*d**2 - 2*d + 737. Let l(r) = -32*r**4 + 432*r**3 - 7*r**2 + 7*r - 2218. Let u(a) = -7*g(a) - 2*l(a). Differentiate u(v) wrt v.\nAnswer: -24*v**3 + 432*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315 - 34 + 338 - 2*v**2 + 51*v to the form d*v**2 + b*v + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -61*g**3 - 2*g**2 + 3*g + 28. What are the prime factors of k(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4336 divided by 1.\nAnswer: 4336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 9. Let y be p(7). Let z be 3 - (y - (-1 - 2)). Suppose -2*n - 4*w = 0, 4*n + 2*w = 14 + z. Calculate the remainder when 29 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunj. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j - 23*j - 360 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17280*s**4 - 2*s - 6815 wrt s?\nAnswer: -207360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2*m + 1\/2*m**2 + 1. Find the first derivative of y(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2288 = -253*z + 357*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - (-3 + (-10 - -13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1439*w = -10757 + 28672 + 52596 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 177*g + 7363. Calculate a(-40).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1\/7 (b) 99 (c) 1.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12617*y**3 + 14*y**2 - 15*y + 1. What is the hundreds digit of l(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9973001 divided by 3.\nAnswer: 9973001\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/(165\/40 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/17503475 and -91\/50.\nAnswer: 35006950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82075.76 millimeters in nanometers?\nAnswer: 82075760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2007 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 10904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*c + 527*c + 1543*c = -148962 for c.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nanv when four letters picked without replacement from {v: 2, a: 2, n: 2, x: 6}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 100. Calculate the highest common factor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31056 is divided by 91.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896838 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 16. Let i = f - -5.7. What is the nearest to 1 in i, 6, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let i(q) = -q**3 + 8*q**2 - 9*q + 16. Let c be i(7). Let x(a) = -19*a**2 + 9*a**2 - 9*a**2 + 0*a**c. Calculate l(x(u)).\nAnswer: 361*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/11))**(-35) assuming b is positive.\nAnswer: b**(-105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9477 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11425\/6 or -1905?\nAnswer: -1905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 245261 - 3*d - 123044 - 122217.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7458988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 u when three letters picked without replacement from ttktfuuftfpt.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5458.074 rounded to the nearest 10?\nAnswer: -5460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 514*o - 742. What is f(130)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + -2.1. What is the second biggest value in 0, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/3 + 1536*w**2 + 265849*w\/3 + 87080 = 0.\nAnswer: -56, -1, 4665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 44, 74, 106?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.36285 meters in kilometers?\nAnswer: 0.00636285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f - 6. Calculate the lowest common multiple of x(-7) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30566 - 15?\nAnswer: -3057b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 23*p**4 - 179*p**3 + 553*p**2 - 720*p + 324.\nAnswer: -(p - 9)**2*(p - 2)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/3, 3\/2, 0.5, 2\/31?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -34532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 414 + -2?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 91569.21 days?\nAnswer: 131859662.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + x + 2*x)*(-x**2 - x + 32*x**2 - 2*x**2) in the form m*x**2 + t*x + c*x**3 + v and give c.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(1\/3)*g)))\/(((g*g**(-5\/2)*g*g)\/g)\/g*g*g))\/(g\/(g\/((((g**(-2)\/g)\/g)\/g*g)\/g)*g*g*g*g)*g*g\/((g\/g**(1\/26)*g)\/g)) assuming g is positive.\nAnswer: g**(343\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11*w - 14 = 0. Let c(f) = 6*f**2 + 1 + f**3 + 0*f**3 - 9*f**2 - w*f**3. Determine c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*j + 282 = -808 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 + 1. Let i(m) = 7*m**3 - 8*m**2 - m + 6. What is -i(t) + 6*x(t)?\nAnswer: -t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23120, -46337, -69554, -92771, -115988?\n\"Answer: -23217*y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 7:19 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33047*t - 1694 = 34741*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/11*(798\/(-36))\/(-19)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -121, -109, -93, -73, -49?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 10*z + 2. Let a be o(-11). Let l(c) = -c + 25. Let g be l(a). Solve 2*t = -t + g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 + (-4 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6041, 10954, 15867, 20780, 25693, 30606?\n\"Answer: 4913*t + 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*a = 14. Let h(d) = -a*d**2 - 9*d + 3*d**2 + 0*d**2 + 3 + 0*d**2. Suppose -71*q + 66*q = -40. What is h(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqq when three letters picked without replacement from {q: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*r**2 - 16 + 14 - 22 - 31*r**3 + 109*r**2.\nAnswer: -31*r**3 - 3*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {x: 1, e: 3, d: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -908*h**3 - 13*h**2 + 10*h + 11. Let z be -1 + 2 + -3 - 4. Let v be 2 + ((-9)\/(-3) - z). Let n be m(v). Round n to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7733 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4118 and 4899.\nAnswer: 284142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 3, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 93413?\nAnswer: 93418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 248*j**3 + 7726*j**2 + 7480*j.\nAnswer: 2*j*(j + 1)*(j + 55)*(j + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2320 + 2322. What is the nearest to -0.1 in f, 59, 0.05, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8659)\/(-21) - (5\/(-2))\/((-33)\/(-22)). Solve 0 = q*i - 419*i + 30 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 242\/726*12\/1*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 612*(-1 + (-18)\/(-15)). Let i = 118 - q. Let f(p) = -p**2 - 35*p - 151. Let n be f(-30). Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from tsmsmmsptmmpjpv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3688 + -2485. Let y = -1200 + m. Let u = 21 - 20.74. What is the closest to u in 4, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293265.6l to millilitres.\nAnswer: 293265600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2663 = 3*j, 3302 + 1115 = 5*j + 2*w. Suppose -7*d + j - 38 = 0. Suppose d = 4*t + i, -t + 4*i = i - 14. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(2)*2) - sqrt(3648)*1)\/(1*sqrt(3)*1 + sqrt(3) + sqrt(3)*3*3).\nAnswer: -15*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10235, -5, 6\/7, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 0.064, -4, 0.1, 18, 5 in decreasing order.\nAnswer: 18, 5, 0.1, 0.064, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.8 - 8. Let d = 0.3 - t. Suppose -4*p - 6*c + c + 26 = 0, -2*p = -5*c + 2. What is the nearest to -1 in -1\/5, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z**2 - 34*z**2 + 62*z**2 + 17*z**2 + 144*z**2.\nAnswer: 232*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**7\/735 + y**6\/420 + y**2 + 10*y. Let j(w) be the first derivative of q(w). Let j(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -8 + -4 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 - 2.9. What is the nearest to -1\/2 in -4, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -104*m + 124*m - 144, 2*i = -3*m + 59 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:44 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -9 (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 7 + (35 - 25) + -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {s: 2, q: 1, l: 2, i: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 19275*j**2 - 5*j - 13. Is p(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30624675 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12492*z + 8087*z - 43385*z - 41972*z.\nAnswer: -89762*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a factor of 58461990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17302591.\nAnswer: 337, 51343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.96 + 0.04. Suppose 3*c + 7 - 10 = 0. Does c = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461955917?\nAnswer: 137, 839, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*9\/(-6)*(-1)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.40107 - -1.45107. Let o = -3 + 5. Put -2\/9, o, v in decreasing order.\nAnswer: o, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hui when three letters picked without replacement from {p: 1, u: 1, m: 1, i: 1, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 988\/41, -2\/45, 0.5, -5\/4 in increasing order.\nAnswer: -5\/4, -2\/45, 0, 0.5, 4, 988\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -896*w**6\/3 + 566*w**3 - 1326. Find the third derivative of r(m) wrt m.\nAnswer: -107520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 480, 772, 1078, 1398?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1)*42796\/(-8). Let g = w + 114699. Round g to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 32. Let v(z) = -15*z + 384. Let l(k) = v(k) + 12*w(k). Let m(d) be the second derivative of 0*d**2 + 0*d**3 - d + 0 - 1\/12*d**4. Give l(m(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-226)\/(-113))\/((9\/33)\/(3\/2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3219*n = -3222*n - 5*b - 32, 3*n = 5*b + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/321 in -2, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 47. Solve 2*t = -2*h - 3*h - 10, v = -5*t - 2*h + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36128, -72256, -108384, -144512, -180640, -216768?\n\"Answer: -36128*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 50 = -38*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 190997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-171)*1)\/(1\/3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let a(w) = 6*w - 4. Suppose -2*y + 2*v - 2 = -16, 3*y - 25 = 5*v. Give y*p(q) - a(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 - 6*d - 28. Is c(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3268363 and -141.022.\nAnswer: -141.3488363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 18. Let k be 12*b*(-3)\/6. Let v(q) = -3*q - 4. Let s be v(k). Calculate the greatest common factor of 126 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2115004119 to 5 dps.\nAnswer: -0.2115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.21 + -3.21. Let f = 51\/8 - 45\/8. Which is the third smallest value? (a) 0.1 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + m + 1741 = 0, -5*u - 1740 = -7*u + 2*m. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 5. Let y be x(2). Let p(n) = 2*n**2 + 6*n + 8. Let m be p(-8). Calculate the highest common divisor of m and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 8*f**2 + 13*f. Calculate y(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.129 + 5475079053736\nAnswer: 5475079053736.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38397743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -5, 5913, 1\/4, 3\/304, 2 in descending order.\nAnswer: 5913, 2, 1\/3, 1\/4, 3\/304, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 41 = 19. Solve -u = w + 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 2, p: 1, a: 2, n: 14}. What is prob of picking 1 p and 1 t?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 12 = 3*j, -l + 4*j = -31 + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.890090011591 minus -0.198?\nAnswer: 5.088090011591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*u - 735 = -162*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-8)\/10*2*-20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 - -9.481?\nAnswer: 286.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1006 + 13*p**2 - p**3 - 48*p + 1034 - 51*p + 98*p + p**2. Give z(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 691. Let z(r) = 3*r**2. Calculate h(z(i)).\nAnswer: 6*i**2 + 691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-11)*y))\/(y\/y**(-2\/9))*((y\/(y\/y**6))\/y*y)\/y*y*y**(-2\/83) assuming y is positive.\nAnswer: y**(11768\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -104*y**3 - 114*y**2 - 6*y + 4 = 0.\nAnswer: -1, -1\/4, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:19 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(-2*p + 2*p + p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 192208438?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 512774 and 1328?\nAnswer: 4102192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**7\/1260 + r**6\/240 - r**5\/30 - r**2. Let n(p) be the third derivative of k(p). Is n(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let i = -1.2 - -1.2. Which is the smallest value? (a) f (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5649, -11569, -17489, -23409, -29329?\nAnswer: -35249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*w - 129*w = p - 17, -5*p - 4*w = -172. Let v(k) = -2*k**3 + 63*k**2 + 32*k + 5. What is v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*b + 276 = 0, -2*u - 2*u - 2*b + 1034 = 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193780 and 116420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n - n = 0. Suppose n = 3*y - 0*y - 357. What are the prime factors of y?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1350705 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(4 - 1))\/(1\/(-295)). What is the greatest common divisor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 16*c**6\/15 - 17*c**5\/10 + c**4\/6 - 271*c - 2. What is s in q(s) = 0?\nAnswer: 0, 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 267 - 263. Suppose -b*d = -12*d. Sort 5, d, 4, 10 in decreasing order.\nAnswer: 10, 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*k - 14*y + 10*y, 2*y - 4 = k. Find the second derivative of 4*q**k - 14*q**2 + 99*q + 75*q - 5*q**4 - 3*q**4 wrt q.\nAnswer: -48*q**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + 2*(3 + sqrt(1539) + -2*sqrt(1539)) + 0) + -5 + 5)**2.\nAnswer: -3240*sqrt(19) + 56304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-48810)\/(-2) - (119*(-8)\/(-56) + -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 50142155?\nAnswer: -50142233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0 + 59*p + 11 - 11. List the prime factors of n(2).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g + 4*i + 8, -i - 8 = -2*g. Which is greater: 6 or g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2222 + -2030330?\nAnswer: -2022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5927502, -5927487, -5927472, -5927457, -5927442, -5927427?\n\"Answer: 15*s - 5927517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -148. Let l = 58325 - 58073. Calculate the remainder when l is divided by d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-54) - 2\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*k**2 - h**2*k - 1350*h**2 + 2768*k**3 wrt k?\nAnswer: -2*h**2 + 16608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2343242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0579211147 rounded to 5 decimal places?\nAnswer: -0.05792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/152*((-56)\/36 + 1836\/243)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flf when three letters picked without replacement from lflflllllllfllll.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37635?\nAnswer: 3, 5, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 214311 (base 5) in base 16?\nAnswer: 1d20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1392149025 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13737, 13736, 13735, 13734, 13733, 13732?\n\"Answer: -u + 13738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from hxxhhhhhhhh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.678 (b) 1\/8 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4156 + -2819. Suppose -3*p - 5*l = c, 2*p - 2*l + 3*l = -889. Find the common denominator of 17\/6 and (p\/(-40) - -1) + 4\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*y = -84*y + 113*y - 2235 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*s = 2, -y + 1 = -s + 14. Is ((-5)\/y)\/((-1)\/(-242)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -209031 - -60091. What is the hundreds digit of o\/(-275) + (-3)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 460\/282*111\/1258 - ((-1111)\/187 + 6).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -18. Suppose a = w*a - 1044. Suppose -3*b = -5*l - 139, 0*b - l - a = -5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1793 or -396?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -22 - (1 - 13)) + (8 - -35 - -4).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19781)\/22 - -1 - 1. Let o = -98379\/2 - -48293. Let i = y - o. What is the common denominator of i and 23\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3433 + 10244?\nAnswer: 14232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -5*p**4\/8 - 5*p**3\/6 - 10*p**2. Let i be v(-5). What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.8 - -11. Let d = 4 - 5. Let x = d - -2. Which is the nearest to x? (a) -4\/7 (b) 4\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8396 and 0.13?\nAnswer: 0.109148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/7)\/((p\/(p**(-1\/5)\/p))\/p)*((p**(8\/9)\/p)\/p)\/(p**(-2\/17)\/p))**(-2\/83))**34 assuming p is positive.\nAnswer: p**(7204\/26145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 + -7.99. Let o = 8 + p. Which is the nearest to -0.1? (a) o (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let k = 4 + l. What is the third derivative of 2*d**2 - 2*d**6 + 4*d**k - 4*d**6 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.761 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let j = 1 + 5. Let i = j - 11. Put i, -1\/3, y in descending order.\nAnswer: -1\/3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740242675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67556175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 377*q + 26. Let u(r) = 63*r + 4. Give -2*k(j) + 13*u(j).\nAnswer: 65*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -9*y + 4*y. Sort 1\/6, y, -0.5, -3.\nAnswer: y, -3, -0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3142 + 0.1858. What is the closest to -2\/51 in -12, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 17*c + 10. Let m be s(-8). Suppose -3*t = 3*l - 135, m*l - 3*t + 6*t - 95 = 0. Which is greater: l or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.2 + -1105.573?\nAnswer: -1471.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.015 and -43156 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -3*110\/(-15). Calculate the highest common divisor of o and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 18*u**2 - 16*u - 328. Let p be l(-17). Solve 30*o = -p + 173 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 0 + 8)*(0*t**2 + 3*t**2 - t**2 + 2) to o*t + c + i*t**2 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -357587\/80 - -4470. Let s be 25\/25*(-727)\/80. Let g = s - r. Find the common denominator of 61\/2 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2 + 3 - -1) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 48 = -6*r. Solve r = 5*h - y, 4*y - 2*y = -5*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/40*8)\/(6\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15 + (-24 - -28 - 308\/20). Let b(z) = -z**3 - 12*z**2 - 5*z + 21. Calculate b(i).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3 + 15. Let s be l\/(-33) - 136\/22. Is 2\/(-3) - 502\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s**2 + 3*s - 3. Let u = 0 - 20. Let l(t) = -56*t**2 + 20*t - 20. Let a(d) = u*p(d) + 3*l(d). Let h(w) = 4*w. Calculate a(h(o)).\nAnswer: -128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -41*i + 4550. Calculate the greatest common factor of i and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16734936?\nAnswer: 2, 3, 17, 41017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/5 - 7)*(-98)\/10. Suppose -4*c = -2*n - 582, -2*n - 243 = -2*c + z. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otvhihnn. Give prob of picking 1 v and 2 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -5, -1, -43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.11 and -0.152805 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -4 + (-5)\/(-4). Let g = -33 + 28. Let w = 4.7 + g. Which is the biggest value? (a) -0.2 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by ((-68)\/6)\/(28\/(-84))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5 and -1\/74.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((1287\/9)\/13).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30244619 to the power of 1\/2, to the nearest integer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85542514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 divided by -13947?\nAnswer: -550\/4649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10396 is divided by 2058.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -20738, -4 in increasing order.\nAnswer: -20738, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1)\/(-2) - 2)*-28 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = -5*m - 9*m. Let i = -37 - m. Suppose 2*z - 440 = -i*z. Calculate the greatest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 6. Let s be r(-2). Sort s, 5, -4, 47 in increasing order.\nAnswer: -4, s, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 + 243 - 3*j - 126 - 112.\nAnswer: 21*j**3 - 3*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 67*c + 4560. Give h(48).\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 379272 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1988 - 1988 + 41*t**3)*(0*t**2 - 3*t**2 + 2*t**2) + (0*t**2 + 0*t**2 - 2*t**4)*(2*t - t + t) + t**5 - t**5 + 2*t**5.\nAnswer: -43*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 1466*n**2 + 817*n**2 - 2*n + 806*n**2 to the form y*n + z + v*n**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, i: 3}. What is prob of picking 1 w and 2 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 22288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.9, 0.36, 0.2, 0.4, 2, 3 in decreasing order.\nAnswer: 3, 2, 0.4, 0.36, 0.2, -14.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {k: 1, x: 1, b: 2, j: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/145885 or 0?\nAnswer: 4\/145885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51008\/5 or -10203?\nAnswer: -51008\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d + 45569*d**2.\nAnswer: 45569*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 11*h = 0. Let s(j) = 0*j + h*j + 2*j - j**2 + 2*j**2 - 6. Is s(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad6 - c?\nAnswer: -b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/4091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/4 + 240297*u + 106728831\/4 = 0. What is u?\nAnswer: -111, 320507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q + 63. Let r be v(-11). What is the hundreds digit of r\/((-21)\/2060) - 32\/112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799 divided by -28.\nAnswer: -799\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -326.7 times 2152?\nAnswer: -703058.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkkg when four letters picked without replacement from gggkgkwgkwkgkkkg.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 3*m - 3. Let t(k) = k**3 - 4*k**2 - 7*k + 7. Let v(w) = -3*t(w) - 7*u(w). Find the third derivative of v(f) wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/2)\/((-8)\/(-20)). Suppose 7*h - 12 = 3*h - 4*f, -o = -4*h + 3*f. What is the second derivative of 8*u**2 + 4 - u - 5*u**h - 4 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5124 by 366.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.083 in -5, 0.1, 2\/9, -7.2, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34436148?\nAnswer: 2, 3, 47, 61057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Is 117 + 4\/(-2) + s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*v**2 - 70292*v - 70276.\nAnswer: -4*(v + 1)*(4*v + 17569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1338, 1335, 1332?\nAnswer: 1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:09 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 50*d**2 + 1385*d - 1430.\nAnswer: -5*(d - 22)*(d - 1)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:51 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 2, a: 1}. Give prob of picking 1 p, 1 a, and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecve when four letters picked without replacement from {n: 1, v: 6, u: 4, c: 1, w: 4, e: 3}.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14706 divided by 171?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -27*y**2 - 113*y - 19. Let j be o(-4). Solve -j = -u, 0*z - 6*z = 3*u - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - l - 10 + 3.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:31 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 146?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*l + 16 = 0, 204*l - 209*l + 8 + 22 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-199)\/(-398))\/(3\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 250 + 252 = a, 0 = -2*a - 4*t + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2541 and 2079?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 - 781105*m**2 - 4686495*m - 7029675 = 0. Calculate m.\nAnswer: -156215, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*o + 9616320 = 249*o. What are the prime factors of o?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4472 - 75\nAnswer: -74.5528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/24 + 8*k**2 - 8*k. Let u(v) be the first derivative of -v**3 + 17. Calculate q(u(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(((q*q\/(q*q\/(q**(-22)*q)))\/q)\/q*q)\/q)\/q)\/(q\/(q**21*q)) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*n + 4*r, 88*n = 83*n + 2*r - 86 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 45. Suppose -g = -5*k + 6. What is the third derivative of -r**5 + 12*r**k + 3*r**2 - 4*r**2 - 12*r**3 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2448 divided by -153.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 8126884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + -57 + 104 + (2 - (-2 + -28)) - -12.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 5*j**2 + 4*j + 4. Let h(i) = -i**2 - i. Let y be h(1). Let x be (-2)\/((-1)\/(4\/y)). Does 2 divide f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/5)\/((-6)\/(-60)). Let w be (-114)\/(-171) + 1 + 26\/6. Calculate the highest common factor of x and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194810954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*s + 168 + 35 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*y**2 + 150*y**2 - 18*y**2 + 17*y**2 + 3*y**2.\nAnswer: 316*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 37 - 4 + 109)*(8 - 4*b + 5*b - 3)*(-b**3 + 0*b**3 - 11*b**3) in the form p + s*b**3 + h*b**2 + v*b + c*b**4 and give s.\nAnswer: -8940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 88*b + 9084. Calculate u(61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -13 - 4) + 1 + 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1)*c))\/c)\/(c\/(c\/(c**(6\/7)*c*c)))*(c**(-2)*c)**(-20) assuming c is positive.\nAnswer: c**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 100. Let z = b - -82. Suppose 17*l = 12*l + z. Solve 0 = a + 4*s + l, 2*s = 6*s + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*sqrt(162))\/sqrt(6))\/(sqrt(225) - sqrt(225)*-3 - sqrt(225) - sqrt(225)) + 2)**2 + 4.\nAnswer: -203\/50 + 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 12) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 212 = 2*o. Let u = o - 42. Calculate the remainder when u is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 79 = 4. Suppose 5*v - w = r, 5*r + v - 14 = 15. Suppose -23 = r*c - 88. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43500917 to 3 decimal places.\nAnswer: 0.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 111 = 3*n, 3*h = -4*n + 164. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/((-11988)\/(-37)))\/((-3)\/(-414)*-3*1)?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.47739 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76551626 to the power of 1\/2, to the nearest integer?\nAnswer: 8749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3808, -15183, -34132, -60655, -94752, -136423?\nAnswer: -185668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 258*d**3 - 4*d**2 - 19*d + 149. Is a(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 272*x**3 + 173*x**2 + 11*x - 112975503?\nAnswer: 816*x**2 + 346*x + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from djviddvddid?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69155 is divided by 34575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-7)\/(-110))*(-2)\/(-4). Let p = 59 + x. Solve p*i = 4*o - 8, -3 = 2*o - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - x = s + 993, -3 = 3*x. 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 3034323032 (base 5) in base 4?\nAnswer: 113201223203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-9 - -8) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 15*x**2 + 289. Let z(v) = 14*v. What is g(z(f))?\nAnswer: 420*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/5 of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*p - 18126 = 1105*p for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96.4 + -53.3. Let i = 43 - a. Let q be 1 - -2*2\/(-16). What is the closest to -0.1 in q, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/7 - 9*s\/7 - 10\/7 = 0. Calculate s.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) 25 (c) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937456 - 937908 + 2*j + 2812825 - 937461.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*l - 5*l. Calculate the highest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 344*i - 338*i - 2388. Calculate the remainder when i is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (68\/(-8))\/(2 - 3\/2). Let x = q + 54. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 134 = 146 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -10112111?\nAnswer: 10112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xawxaawaaaaa. Give prob of sequence wx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -g + 24, 4*g - 4*i - 20 = -3*i. Suppose g*x - 76 = 2*q, 19 + 85 = 5*x + 2*q. Solve 2*z + 4*v + x = z, 4*v = -3*z - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 29*v + 175. Let f be i(-7). Solve 0 = 5*l + 11*c - 14*c + 3, 3*c + f = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 - 916734*q + 274750200 = 0.\nAnswer: 300, 305278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12855, -51487, -115905, -206109, -322099, -463875, -631437?\n\"Answer: -12893*i**2 + 47*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:41 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110569021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -239 and 7.\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/(6\/(-20208)*-12). Is n less than or equal to -421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*p = 2*l - 64459, 0 = -4*l + 2*p + 64454. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/15*(-320)\/(-192).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 621\/20 or 32?\nAnswer: 621\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146 by 102999.\nAnswer: -146\/102999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t - 1. Let w be s(1). Suppose 2502 = w*r + 542. Suppose -379 - 16 = -3*k - 4*v, 2*v + r = 4*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 198.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 134*m**2 + 60*m + 269. What are the prime factors of l(66)?\nAnswer: 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 - -2a7?\nAnswer: 2d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 3*j**5 - 2*j**5 + 0*j**5 + 3*j**5 + (2*j**3 - 3*j**4 - 2*j**3)*(5*j - 4*j - 3*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = 12*q. Let n(k) = -74*k - 14. Does 30 divide n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 313247466.\nAnswer: 313247466.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 7ce?\nAnswer: -7d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 453*g - 979. Is d(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3)**2 + (4*sqrt(500))**2.\nAnswer: -42*sqrt(5) + 8254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -337881 * -1\nAnswer: 337881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/84 and ((-3)\/63*202)\/((-144)\/42).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -9*o**6\/25 + 12*o**5\/5 - 391*o**4\/90 + 124*o**3\/45 - 4*o**2\/5 + 12*o. Find u such that m(u) = 0.\nAnswer: 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157.36086us to days.\nAnswer: 0.00000000182130625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - 2*h + 7*h)*(-4 - 1 + 4)*(51*h - 5*h + 5 - 3) to the form d + p*h + w*h**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g*h**3 + 119952*g*h**2 - 14356884*h**3 + 2*h**2 + 66*h wrt h?\nAnswer: -54*g - 86141304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + (sqrt(3) - (sqrt(3) + sqrt(75)*-4 + sqrt(3)))) + -4*1*(sqrt(17) - 3*sqrt(17)).\nAnswer: 161*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (225 - 79 - 646)*(3*j + 0*j - 5*j + (-2 + 6 - 3)*(2*j - 4*j + 0*j) - 4*j + 1 - 1 + 0*j - 3*j + 4*j) in the form k*j + g and give k.\nAnswer: 3500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4 - 3*x - 5 + 0. Suppose 5*u + 49 = -2*u. Let i be t(u). What is the greatest common divisor of 84 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 6. Let z be h(-7). Let x(s) be the first derivative of -s**4\/4 + 1. What is the units digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let x be (1\/3)\/(8\/72). Which is the second biggest value? (a) i (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.221 (b) 56 (c) -3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejvkememmkk. What is prob of sequence je?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 34798862.\nAnswer: 17399431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*b**2 - 160341*b + 160341*b - 260*b**2 - 1 in the form f + s*b**2 + d*b and give s.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 124. Let c(u) = -6*u - 124. Let y(k) = 5*c(k) + 4*f(k). Calculate the remainder when 52 is divided by y(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.5 (c) -0.4 (d) 12 (e) 9 (f) 7\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63\/134 + -2\/67. Suppose 0 = -2*k + 2 - 0. Suppose -k - 3 = 2*v. Is f < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.29495 micrometers to meters.\nAnswer: 0.00004629495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -329587?\nAnswer: -329587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdcx when four letters picked without replacement from {c: 1, z: 1, d: 2, l: 2, x: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 79*k**2 - 5*k - 5. Let q(u) = 2331*u**2 - 148*u - 148. Let r(f) = -148*d(f) + 5*q(f). Let h(l) = 4228*l - 8463*l + 4238*l. What is h(r(t))?\nAnswer: -111*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -1639586.\nAnswer: -1639581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69747099 - 69747099 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - -92 - 0 - 3. What is the common denominator of (1\/(-4))\/(1\/g) and 35\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*r + 175*r - 23 + 22 to q + m*r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.218271cm to millimeters.\nAnswer: 12.18271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2 + 7048*j - 418. Let v(f) = 9*f**2 - 7045*f + 417. Let y(r) = -4*k(r) - 3*v(r). Differentiate y(t) with respect to t.\nAnswer: 2*t - 7057","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73891, -73831, -73731, -73591, -73411, -73191, -72931?\nAnswer: -72631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*n**2 + (-3*n - n + 2*n)*(39*n - 522*n + 10*n).\nAnswer: 949*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 3) + 1)\/1. Suppose -2*t + 112 = -p*t. Suppose 3*l - t = -l. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 12*b - 2*b = -6*b. Which is bigger: -5\/723 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 + 1194 = 46*u. Calculate the highest common divisor of 1903 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from llrrrxxrrl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -30, 0.\nAnswer: -30, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -1. Suppose -28 = -t*u + 8. What is the highest common factor of 198 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**4 + q**3 + q**2 - q. Let n(g) = -9*g**4 - 5*g**3 - 3*g**2 + 5*g - 1. Let o(z) = 6*n(z) + 26*y(z). Solve o(d) = 0 for d.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -12 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 12*r**2 - 11*r + 4. Let n be a(-11). Calculate the greatest common factor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3\/2, -0.02, -10\/11, 14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-20)\/(-15)) + -1. Let k(b) be the third derivative of b**6\/20 - b**5\/15 + b**4\/8 - b**3\/6 - 5*b**2. What is the units digit of k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274000 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 3:19 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378335 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221 - -217.12. Let l = 0.12 - m. Which is the third biggest value? (a) l (b) -0.11 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**22*a)**(-21)*(a*a**(-1\/5))\/a*a**(1\/3))**(-5\/12) assuming a is positive.\nAnswer: a**(7873\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 185325632 divided by 8\nAnswer: 23165704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131332312 + -1022?\nAnswer: -3132000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -2 - 2340\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 4*y - 4*y)*(-1 + 2 + 1)*(1 + 3 - 2)*(1 + 2 + 1) to g*y + m and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4773*a**4 + 2*a**2 - 4*a + 74 wrt a?\nAnswer: -114552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 - 1 = 0. Let r be m\/(0 - (-1)\/2). Differentiate -3 + 3*k**4 + r + 2 + 2 wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - n**2)*(-n**3 - 3*n**2 + 3*n**2) - 2*n + 2*n + 3*n**5 + (4*n - 3*n + 0*n)*(n + 2*n**4 - n) - 303*n**2 + 303*n**2 - 131*n**5.\nAnswer: -125*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249*b + 32*b + 1379*b)*(b**2 - 2*b**2 - b**2).\nAnswer: -3320*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*c = 150, -5*p + 33*c = 52*c - 24*c - 155 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + 1 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f = 15. Calculate the highest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 + 495 = 4*x. What is the greatest common divisor of x and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*q - 0*t - 2*t, 4*t = 16. Suppose 0*p - q*p = 0. Let d(u) = 9*u + 87. Let z be d(-10). Which is the biggest value? (a) z (b) 4\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 18. Let y be p\/(-6)*(-2)\/(-9). Let s = -0.13 - -1.13. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*h + 36 = 124*h. Let y be 8 + (-1 + (-30)\/h - -3). Solve y*s - 13*s + 32 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -4, -0.05412, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 39*h**2 + 379*h + 18. Let m be z(-21). Which is the smallest value? (a) 0.5 (b) 49 (c) 5 (d) m (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3003 divided by -1001.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -0.2, 0.4, 9\/260?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001538291579 to 7 dps.\nAnswer: 0.0001538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244749 (base 10) to base 5.\nAnswer: 30312444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/((g\/(g\/(g\/g**6)))\/g*g))*g)\/g**8*((g**6\/g)\/g*g)\/g*(g**(-4)\/g)\/g assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4348, 17409, 39190, 69703, 108960, 156973?\n\"Answer: 2*i**3 + 4348*i**2 + 3*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kajaabs. What is prob of picking 1 b, 1 k, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3970059 and 53\/3.\nAnswer: 3970059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 530969021, 530969018, 530969015, 530969012, 530969009?\n\"Answer: -3*h + 530969024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*j - 162*j + 53*j - 7 + 1 + 53*j.\nAnswer: -2*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 22*w + 15)*(1 - 6 + 3)*(0*w**2 - 2*w**3 + 0*w**2) as t*w + i*w**2 + n*w**4 + b + p*w**3 and give n.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 2. Let a(c) = 4*c + 172. Suppose 76 = -2*z - f, 5*z - 1 = 5*f - 176. What is the remainder when a(z) is divided by h(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + -15)\/(6\/(-8974)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**5\/3 - 6956*c**4\/3 + 3670684*c**3\/3 - 609872324*c**2\/3 - 620919200*c\/3 + 1227127792\/3 = 0.\nAnswer: -2, 1, 407, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.783 + 12.8. Round q to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2985 - 1460 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-88)\/68)\/(-11)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {o: 1, n: 5, t: 2, z: 1, f: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 48 = -42. Find the common denominator of l\/(-16) + 2989\/280 and 109\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0.3, -0.023, 0.5, 233 in decreasing order.\nAnswer: 233, 1, 0.5, 0.3, -0.023, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18077077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, -26, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (35\/70)\/(1053065\/175510 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -687*y - 4888. Determine q(-7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -3, -78, -1 in descending order.\nAnswer: 1, -1, -3, -10, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30722 + -2255368.\nAnswer: -2224646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1069401 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47897 and 1135?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/46*(-24978)\/(-724)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3094088.\nAnswer: 2, 37, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000640052398 to seven dps.\nAnswer: 0.0006401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 605174724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 3*o + 140, -26*s + 42 + 27 = -32*o + 31*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -30*y**3 - 4*y**2 - 5*y - 5. Let m(r) = -29*r**3 - 3*r**2 - 4*r - 4. What is 4*d(h) - 5*m(h)?\nAnswer: 25*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 18 = 90. Let h = -12 + l. Suppose -2*s + h = -0*s. Solve 6*b + s = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*f = 17 + 19, 4*f = -16. Let m(o) = 21*o + 3. What is the remainder when m(c) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + -15. Calculate the common denominator of -49\/9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 1, 4, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634718932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25*s + 1. Let q(l) = l**2 - 16*l + 29. Let g be q(14). Give h(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -40\/13 - 2\/13*c**3 + 24\/13*c + 18\/13*c**2 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63076825 or 63076828?\nAnswer: 63076825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 163*d + 23798. Determine j(-146).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78997268 to the power of 1\/2, to the nearest integer?\nAnswer: 8888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 + 4399*d**4 - d**3 + 40*d**2 + 2192*d - 5 wrt d.\nAnswer: -120*d**2 + 105576*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010328902 rounded to six decimal places?\nAnswer: 0.001033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 5*d**2 + 7*d. Let g be x(-6). Let c = 139 + -139.1. Sort c, -1, g in ascending order.\nAnswer: g, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 235*d + 13. Let g = 287 + -179. Let l = -104 + g. Is p(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:42 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 5*x**2 + 7*x + 6. Let i(j) = 4*j**3 - j**2 + 2. Let u(b) = b**3 + 2. Let a be u(0). Let t be i(a). Suppose 3*g - 8*g + t = 0. Calculate f(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*a + 5*t, 3*t + 4 = -2*a + 1. Let l = a + 2. Suppose -l*z + 6 = z. Solve -b - b = z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 3026666422?\nAnswer: -3026666413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -458\/5. Let r = 2 - 1.8. Let q = r + -0.3. Is d > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -15*x**4 + 2301*x**3 - 87543*x**2 - 54285*x + 35574 = 0.\nAnswer: -1, 2\/5, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 74*u**3 - 10*u**2 + 6462*u - 10. Let z(c) = 22*c**3 - 3*c**2 + 2154*c - 3. Give 3*k(i) - 10*z(i).\nAnswer: 2*i**3 - 2154*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1572 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9878136 to the power of 1\/2, to the nearest integer?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 1\/4 (c) 4 (d) 2\/1681 (e) 26 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/(6\/(-24)*2). Solve -4*g - j = -13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -97.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 74 = -6*a + 7*a, 0 = 5*t - 4*a + 114. Calculate the common denominator of 134\/33*15\/20 and ((-15)\/(-30))\/(t\/114).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 154 - 302 + 148 - 2*z. Let i(r) = 20*r**2. Calculate i(d(t)).\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65035 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -24. Let s = -35877\/4660 + -1\/932. Calculate the common denominator of 405\/50 - r - 3 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**2 - 45351216*h - 12957492.\nAnswer: 3*(h - 2159582)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppff. Give prob of sequence ppf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54615381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40\/51 - 14\/17. Let m = 194\/255 - z. Let y = 41\/2 - 22. What is the third biggest value in m, y, 2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + 0 + 9\/27*21. Solve -h + t - 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**2 - 211 + 423 + 2*n - 219 to the form i + y*n**2 + q*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3631993 or 1?\nAnswer: -8\/3631993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 546320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 1}. What is prob of picking 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -22, -60, -120, -208, -330, -492?\n\"Answer: -c**3 - 2*c**2 - 9*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Let n = 13 - 12. What is the smallest value in -4, j, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19186.\nAnswer: 2, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 4*k - 3. Let z be b(-3). Let c = z - 0. Suppose 4*w + 0*w - 8 = c. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/120 + s**4\/4 + 3*s**3 - 26*s**2. Factor d(i).\nAnswer: (i + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1340\/670)\/((-4)\/((-16)\/148)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(14)\/sqrt(2) + 0)**2 - (5 + (sqrt(7)*1 + sqrt(7) - sqrt(7))**2)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 16*u**2 + 4*u + 10. Let t = -2 + -1. List the prime factors of p(t).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -84. Sort 2, -3, -6, i in ascending order.\nAnswer: -6, -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 28256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 121120?\nAnswer: -121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + ((-80)\/(-45))\/(-8). Let n = -148 - -152. Which is the second smallest value? (a) q (b) n (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -165*g**2 - 11877\/8*g**3 - 9\/2*g + 0 + 4107\/8*g**4 = 0?\nAnswer: -2\/37, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.0578 (c) 306 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6801, -13589, -20271, -26847, -33317, -39681, -45939?\n\"Answer: 53*t**2 - 6947*t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 3}. What is prob of sequence fmm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55371 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c - 5600000 = 0. Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = q - 62. Calculate the common denominator of -29\/6 and (-755)\/q + (-6)\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/378 - -104*(-4 + (-8109)\/(-2025)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.6 - -76.6. Let a = 3 - 3.01. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/4 - f**2\/2 + 20*f. Let p be r(-1). Find the second derivative of 8*i**4 + 11*i**4 + 9*i + 0*i**p - 5*i**4 wrt i.\nAnswer: 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 9*d - 2*t + 49 = 0, 0 = 2*d - 2*t + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106460 to the power of 1\/2, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = 15*s - 651 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 1, 17, 59, 139, 269, 461, 727?\n\"Answer: 2*k**3 - 5*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61.24 in 3, -2, 0.09, -1\/10, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v**3 + 18*v**2 + 5*v - 6. Let n(k) = -k**3 + 5*k**2 + 2*k - 1. Let d(w) = -4*n(w) + o(w). What is d(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*2 + 696\/(-9360)*-2\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3337725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 + 466*l**2 + 4672*l\/5 - 18656\/5.\nAnswer: -(l - 2332)*(l - 2)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -766.5 - -767. Let v = 3.2 - 3. Sort -4, o, v in increasing order.\nAnswer: -4, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*m - 4 = 0, 0 = -2*u - 5*m + 3*m - 24. Let k(i) = i**3 + 7*i**2 - i + 2. Determine k(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 18. What is the units digit of (63\/35)\/(i\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 50. Let x(j) = 7*j - 101. Let p(q) = -5*g(q) + 2*x(q). Let m(o) = o**2 + 3*o - 5. Let c be m(4). What is the units digit of p(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -221 and 54.\nAnswer: -11934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.5881 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10201, 20406, 30611, 40816, 51021, 61226?\n\"Answer: 10205*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**4 + 195*x**3 - 307*x**2 + 141*x - 20 = 0. Calculate x.\nAnswer: 1\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2457 = -16*q - 5*q. Let n = q + 224. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, q: 3, s: 1, d: 5, z: 1}. Give prob of sequence sqdq.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10520 divided by 1.\nAnswer: 10520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*i - 15 - 6, -15 = f + 4*i. Put f, 5, 9, 1 in decreasing order.\nAnswer: 9, 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9 times 43077?\nAnswer: -426462.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69654 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(504)*3)\/(sqrt(8) + ((sqrt(512) - sqrt(512)*1) + sqrt(512) + sqrt(512) - sqrt(512))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13058 - 300*h**4 - 13073 + 254*h**4 + 2*h**2 + 2*h as l*h**4 + m + o*h + v*h**2 + f*h**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y**5 + 45*y**3 - 25*y**2 + 53*y**5 - 25*y**4 - 10*y**2 + 5*y + 5*y = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0955402 rounded to three decimal places?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 4, 162, -36.\nAnswer: -36, 1\/7, 4, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:35 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -125655*p + 502628. What is s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.873656935 to four decimal places.\nAnswer: -0.8737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**3 + 7*x**2 + 6. Let i = -5 + -1. Let r(c) = -21*c**3 + 15*c**2 + 13. Let k(n) = i*r(n) + 13*a(n). What is the third derivative of k(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d - 9*d - 8*d - 14*d - 18*d + 18*d + 85*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*43184\/245609*2\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, n: 3, q: 1, m: 6, l: 1, v: 2}. Give prob of picking 4 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a + c, -13*a + 14 = -9*a + 3*c. What is the fifth biggest value in 43, -1\/7, 2, a, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q\/(q**(-13)*q))\/q*q)))\/q)**(-50) assuming q is positive.\nAnswer: q**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-7 - -4) - (-8)\/14. Let r be 2\/22*1*-2. Let v be (-2)\/(-8) + (-17)\/4. What is the second smallest value in v, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 + 2*u - 3. Let b be r(3). Solve 0 = -2*f + b*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11044717 not equal to 11044718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 3*f + 2*f)*(3*f**2 - 5*f**2 + f**2) - f**3 - f**3 + 0*f**3 + 0*f**3 + f**3 - 2*f - 6*f**3 in the form k*f**3 + q + j*f + n*f**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - 11\/(308\/(-120))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 656.3053 decades?\nAnswer: 78756.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 670, 1011, 1352, 1693?\nAnswer: 2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-28) - 13\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074533 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: How many minutes are there between 7:05 AM and 6:25 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (20 + 118)\/((8\/(-6))\/(-2)) and 69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2176554 = -1423446. Round o to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 18\/(-8))\/(397\/15376604). Calculate the highest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:11 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 2. Let p be c(-7). Suppose 4*g - 5*g = -p. Solve -9 = 3*l + 5*b, -5*l - 7 = -g*b - 32 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48376 by 24188.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/11 and -23\/117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s + s - 1 + 6*s - 4 - 4. Give o(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(81) - sqrt(14))\/(-5*-3*sqrt(2)).\nAnswer: -2*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8107.89 millimeters to nanometers.\nAnswer: 8107890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1020 and 718590?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1700))**2 + ((-1*sqrt(833))**2 - sqrt(17)) + 0 - ((sqrt(136)*-3)\/((sqrt(40)\/sqrt(4))\/sqrt(5)))**2) + 3.\nAnswer: -21*sqrt(17) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 8, -4*y + 0*y - 4*n + 13908 = 0. What is the remainder when y is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = 7*x. Let d(u) be the first derivative of 1\/3*u**3 + 1\/15*u**5 + 7 + 1\/4*u**4 + x*u + 1\/6*u**2. Solve d(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 220821*c. Let y(s) = -6*s. What is y(k(x))?\nAnswer: -1324926*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, n: 9}. Give prob of sequence dnn.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**1))\/(z*z*z**(-5\/3))*(z**(2\/41)\/z*z)\/((z\/(z*z*z**2*z)*z*z)\/z))**(-5\/12) assuming z is positive.\nAnswer: z**(-1055\/1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y = w - 36*y + 616, -3128 = 5*w + 2*y. Sort w, -2, 2, 3.\nAnswer: w, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221110222221 - -21100?\nAnswer: 221111021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 1 - sqrt(17) - (sqrt(51)\/sqrt(3) + 4) - sqrt(51)\/(sqrt(192)*-1))**2.\nAnswer: -51*sqrt(17)\/4 + 5489\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 730, 758, 766, 736, 650?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 5*q**2 - 2*q - 4. Let y be o(3). Let r = y - 80. Let g(s) = -r*s**2 - 10*s**2 + 2*s**2 - 10*s**2. Let i(a) = a. What is i(g(z))?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + s = 2*s - 1, 5*s - 9 = 3*r. Suppose -3*x + 35 = 2*b + 2*b, -2*b = -4*x + 10. What is the third derivative of -d**2 - d**5 + 0*d**r + 3*d**x wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14625192 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248 and 10346963.\nAnswer: 82775704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -95*x - 2. Suppose -w - 23 = -18, -215 = -5*z + 5*w. What is the remainder when o(-2) is divided by z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -4348, -4331, -4316, -4303, -4292, -4283, -4276?\nAnswer: -4271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j**3 - 81*j**3 + 28*j**3.\nAnswer: -95*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 14*x + 20. Let y be l(-5). What is the highest common divisor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 815243 and 2717?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/30 + 67\/5. Let c(x) = x**2. Let l(n) = -2*n**2 - 3*n. Let f(s) = 15*s**2 + 18*s. Let t(b) = -f(b) - 6*l(b). Give j*c(u) + 6*t(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 61. Let n = 51 + a. Solve -n*s - 6 = -2*q + q, -4*q + 16 = -4*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3489, -6987, -10485?\n\"Answer: -3498*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q = 45*q - 32. Suppose -97 - 79 = q*b. Let g be 1*3*b\/((-198)\/24). Solve w - 3*y = 2, 3*y + g = -2*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/13 - 44*x**3 + 17208*x**2\/13 - 128452*x\/13 - 146234\/13 = 0. Calculate x.\nAnswer: -1, 17, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247751 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 61. Suppose -x*o = 10, z - o + 6*o - 395 = 0. Suppose -4*f + 8*f = z. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 12:12 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 6864*u**2 - 3781040*u.\nAnswer: -u*(u - 6260)*(u - 604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*u - 214 = 3*u, -2*r - u + 110 = 0. Let j = r - 27. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/41231425 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141349.1 months in centuries?\nAnswer: 951.12425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 9435 and 9341 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-63)*70200\/4500.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 7*q + 14. Let k be z(4). Suppose -2*w + k = -34. Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -1 + 14 - -38\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**2 + 655*j + 21170 = 0.\nAnswer: -73, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (432 - 446) + (0 - 68)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12302\/11 or 1118?\nAnswer: 1118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 - 28*o**3 + 0*o**3.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 32047*m\/4 - 17274405\/2.\nAnswer: -(m - 30930)*(m - 1117)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53112015 (base 6) in base 8?\nAnswer: -5721553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -32 - 5 - 23.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 19 - 70. What is the remainder when 66 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + (-10 + 25 + -4 - 20) - (9 - 17).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 less than 596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4023203 + -21?\nAnswer: 4023132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*o**3*x**3 - 22*g*o**3*x + 2*g*o**2 + 391*g - 7*o**3*x**3 + 3*x**3 wrt o?\nAnswer: 12*g*x**3 - 132*g*x - 42*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 486 = 3*n. Suppose 4*q + 69 = 5*b + 280, 3*q = 5*b + n. What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41876340 divided by -15?\nAnswer: -2791756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*sqrt(475) + sqrt(475) + sqrt(475)*-2 + -4 + 3 + sqrt(475) + 1 + -2*sqrt(475) + -3 + 0)*-2)**2.\nAnswer: -1200*sqrt(19) + 190036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80820192 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 g when three letters picked without replacement from epjeqgeeejpjemqee.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtdvudvdkvvvvvv. Give prob of sequence dt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 730 and 803?\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -92*m**2 + 22*m - 8. Let d(i) = 15*i**2 - i. Determine -6*d(r) - k(r).\nAnswer: 2*r**2 - 16*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 94 + 4*t + 1\/2*t**2. Let x(d) = 3. Give 3*w(i) - 4*x(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1205634024 rounded to 5 decimal places?\nAnswer: -0.12056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by 76?\nAnswer: 157\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20487256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*z, k + 4*z - 2 = -6. Suppose 5*g - 3*m - 12 = k, 3*g + 5*m - 30 = 0. Suppose g*j = j + 20. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t - 6. Determine r(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6850 is divided by 51.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and 0.07?\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.007806 and -626.\nAnswer: -626.007806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddw when three letters picked without replacement from wdjzjddwzzz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*f - 2*a, -8 = 5*f + a - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 - 60*c**3 + 4004*c**2 - 11028*c - 15088 = 0. What is c?\nAnswer: -41, -1, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - a + 6*a - 65, -2*a = 2. Let d(t) = 4*t - 10. Let c be d(4). Suppose 0 = -c*x + 15*x - 108. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*w + 23 = 3*w, -5*a = 4*w - 36. What is the nearest to -0.1 in 0.3, 0.1, 0.01, a?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5265 - -5264.6. Which is the closest to 0.3? (a) k (b) -0.28 (c) -0.1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (-1390 + -5 + 15)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)*r*r)\/r**(-2\/5))\/(r\/(r*r\/(r**1*r)*r)*r)**39 assuming r is positive.\nAnswer: r**(-539\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3594 - -3633. Solve -9*i - r = -48 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346089303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 504*z**2 + 256*z**2 + 267*z**2 - 6*z**3 + 1.\nAnswer: -6*z**3 + 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let v(o) be the first derivative of o**5\/15 - o**4\/24 + 24*o**3 - o + 78. Let u(i) be the third derivative of v(i). Determine u(m) - y(m).\nAnswer: 7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1960*y**2 + y + 1 + 4055*y**2 - y**3 - 1998*y**2 to c*y**3 + w*y + z + i*y**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105802760 to the power of 1\/2, to the nearest integer?\nAnswer: 10286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 - 150942240*h**3 - 1898629984684800*h**2 = 0.\nAnswer: -25157040, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*d + 173*d - 123*d - 156. Let n(a) = -5*a**3 + 4*a**2 + 4. Let f(y) = 4*y**3 + 14*y**2 + 17*y**2 - 3 - 34*y**2. What is d*n(m) - 4*f(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -788, -3093, -6936, -12317, -19236?\nAnswer: -27693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47375109?\nAnswer: 3, 5263901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:12 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -15*t**4 - 50*t**3 + t**2 + 73*t - 21. Let n(h) = -16*h**4 - 52*h**3 + 72*h - 20. Let l(i) = 3*n(i) - 4*v(i). Find p such that l(p) = 0.\nAnswer: -3, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/(-66))\/(11\/(33\/12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 943428 and 5?\nAnswer: 4717140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12653*f**3*s**3 + 8*f**3*s**2 - 2*f - 201*s**2 wrt s?\nAnswer: 75918*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*g = -188*g + 112 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 4, m: 3, r: 2}. What is prob of sequence oyro?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 + 0 + (18 - 1). Suppose -2*t = 3*y - p, 0 = -3*y + 8*y + t - 19. Factor -x**2 - 3*x + 3*x**3 - 4*x**2 + 8*x**2 - y*x.\nAnswer: 3*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, r: 1, m: 3, i: 5}. What is prob of picking 1 m and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/18 - 616\/(-396). Solve -o - 3 = -q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*c = 9, 11*c - 2 = 4*l + 6*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 0.0441?\nAnswer: 5.0441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6, 3*l = 5*l - 4*s. Let j = -11\/2 + l. Which is the nearest to 2? (a) -2 (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 64*j**2 + 6*j + 8. Let v be b(-2). Let t be ((-32)\/6)\/(2\/(-12)). What is the common denominator of 6\/3 + v\/t and 53\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 7*o - 8. Let m be a(-6). Let b(g) = g**2 + g. Let p be b(m). Let n = -0.3 + 0.1. What is the second biggest value in p, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**4 - p**3 + p. Let h(j) = 5*j**4 + 2*j**3 + 10*j. Let r(a) = 2*f(a) + h(a). Find the second derivative of r(q) wrt q.\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Let q = -1 + g. Let r be q\/(3 - 2\/1). Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -f - f. Let p = 38 - f. Suppose 190 - 55 = 5*a. Calculate the lowest common multiple of a and p.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19304402 to the power of 1\/2, to the nearest integer?\nAnswer: 4394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -2461425?\nAnswer: -246142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1276\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.60399 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21\/98 - (184\/12*(-320)\/(-21504) + 0)\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = t - 4, 0 = -114*f + 110*f + 3*t + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 - 4)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.1 - 8. Let c = s - 0.2. Put 1, c, -0.4 in ascending order.\nAnswer: -0.4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:29 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768907273 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - v - 4*v + (2*v - 4*v + v)*(4 - 2 - 1) + (-1 + 1 - 2)*(22 + 10*v - 22) in the form j*v + f and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91989377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**6 - 8468*s**4 - 3*s**2 + 71*s wrt s?\nAnswer: 120*s**3 - 203232*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0*f**4 - 6*f**2 + 1\/60*f**5 + 0*f - 4 - 19\/40*f**6 + 7\/2*f**3. Find the third derivative of b(p) wrt p.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19\/2 (b) 7 (c) 176 (d) -2 (e) -0.13 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-5))\/((-808)\/(-20)). Let t = o - 5257\/1010. What is the common denominator of (-10)\/(-11) + (6 - 6) and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.809885 seconds?\nAnswer: 2809885000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 7*c**2\/2 - 40*c - 337. Give b(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1602088, 1602060, 1601986, 1601842, 1601604, 1601248?\nAnswer: 1600750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-168)\/(-16))\/(-7))\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24432, -23065, -21700, -20337?\n\"Answer: -g**2 + 1370*g - 25801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 18419239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 - 2*h - 6. Let m be r(-3). Suppose 0 = -5*j - 3*i + m, j - 5*i + i = 17. Differentiate -11*k**2 - 37*k**2 + 29 + j*k**2 with respect to k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 0. Let r = 8280 + -57958\/7. Which is the smallest value? (a) 0.2 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20405\/(-140) - -113) + 48.\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28452874 is divided by 1911.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 1840. Let m = 121 - l. What is the hundreds digit of (-38)\/m - 5950\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 10. Suppose l = -s + 5. Let z(q) = q**3 - 3*q**2 + 2*q - 3. Calculate z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284\/8 - 1\/(-2) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teentneee. Give prob of picking 3 e and 1 t.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2517, 10103, 22739, 40425, 63161?\nAnswer: 90947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 876*r + 62887. What is y(79)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 5944, -12 in increasing order.\nAnswer: -12, 50, 5944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -13*c**5\/60 - 46*c**2 - c - 17. Let t(d) be the first derivative of u(d). Let f(b) = 7*b**2. Determine f(t(n)).\nAnswer: 1183*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5280 is divided by 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 + t - t + (5 - 7 - 8)*(-4 + 2*t**2 + 4))*(-6*t + t + 4*t) as a*t**2 + w*t + d*t**3 + u and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 1284.\nAnswer: 1284.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s + 3*s. Let z(v) be the second derivative of 1\/60*v**6 + 0 + s*v + 0*v**4 + 1\/6*v**3 - 1\/20*v**5 - 1\/4*v**2. Let z(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4467, 35805, 120923, 286713, 560067?\n\"Answer: 4482*x**3 - 2*x**2 - 30*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 94. Let c(k) = -k**2 - 18*k - 31. Let r be c(n). Solve 3*m - r = 4*m - 5*u, -5*m - 4*u = 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1098)\/(-2745))\/(-2*1\/4)*15\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*((-134871)\/4455 + 30 - 8\/(-108)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b + 42 = 0. Suppose -5*j + 541 = b. Let q = j - 57. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394941?\nAnswer: 1394941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -959 (b) 2 (c) 3\/2 (d) 8 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110010101 + -1000110000000?\nAnswer: -1101100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6417)\/651 + (-16)\/14 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2 - 2*f*g**2 - 12101858*f*g - 160253756*g**2 wrt f?\nAnswer: 2*f - 2*g**2 - 12101858*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/180 + l**5\/40 - l**4\/12 + 6*l**2. Let x(m) be the second derivative of c(m). Suppose 3*h = -5 - 4. Give x(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8091 or 0.06476?\nAnswer: 0.06476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 - -82. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:42 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d - 6*d + 0*d)*(-2*d**3 - d**3 + 0*d**3) + (-d**3 - d**3 + 4*d**3)*(-13*d + 29*d + 8*d) as k*d**3 + b*d**4 + x + r*d + f*d**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 39. Let q be r(-13). What is the remainder when 7 is divided by (1 - (q + 3))*(-6)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(425)*4)**2.\nAnswer: -13600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/3 - (-1)\/3. Let n = -1\/187 - 933\/374. Which is the third biggest value? (a) 2\/7 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9468058.\nAnswer: 2, 4734029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (34\/4845*75\/30)\/((-2)\/12)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 56630.37 millennia in months?\nAnswer: 679564440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/12 + 10*p**3\/3 + 45*p**2\/2 + 16*p - 2. Let f(w) be the first derivative of y(w). Solve f(r) = 0 for r.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 + -152. List the prime factors of ((-7 - -342)\/k)\/(1\/(-4)).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q**3 - 2*q. Let w(b) = -311*b - 311*b + b**3 + 622*b. Give d(i) + 6*w(i).\nAnswer: -5*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3416 = -5*w + v, -5*v = 3*w - 2*v - 2046. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 1, h: 2, d: 4, n: 1}. Give prob of sequence db.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27069280 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*d + 3*b, -23*b + 27*b - 13 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/13 - 5532406*x**2\/13 + 11064804*x\/13 = 0.\nAnswer: 0, 2, 2766201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -489 - -491. Find the first derivative of -5*d**v + 50 - 44 - 186 + 73*d**2 - 68 - 2*d wrt d.\nAnswer: 136*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 1, k: 6, c: 1, o: 1, d: 1}. Give prob of sequence okmc.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-1\/3)*f*f*f)))**(-4\/19)\/(f**4*f*(((f\/(f\/(f*f**(-1\/7)\/f*f*f)*f))\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-1763\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 8*l**2 + 20*l. Let c be x(-10). Solve -p + 0 - 5 = c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a day in minutes?\nAnswer: 35520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {h: 1, t: 2, m: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -441 and -877 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*t**2 + 38*t**2 + 4*t**3 + (2*t - t + 0*t)*(-5*t**2 + 4*t**2 + 0*t**2) + t**2 - t**2 - t**3 + 5*t - 5*t + 2*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -7)*(-1 - 2). Which is the third smallest value? (a) g (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3424.\nAnswer: 1\/3424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133703 and 985180?\nAnswer: 18718420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/16*1*(-14 + -2). Solve 0 = f*n, 3 = 99*r - 98*r + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -187*g - 5. Let d(u) = 1. Let p(y) = -6*d(y) - l(y). List the prime factors of p(1).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 1511*p**6\/3 + p**5\/5 - 16*p**2 + 5*p + 1186. What is the second derivative of s(g) wrt g?\nAnswer: 60440*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3 - 22*c**5 + 7*c**5 - 29*c + 2*c**3 wrt c?\nAnswer: -300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000319564 to 5 dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17793*q - 35587*q + 17794*q - 72*q**2.\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**(-4)))\/(l**(-3\/2)\/l))**41 assuming l is positive.\nAnswer: l**(615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(13)*-2 + -4.\nAnswer: -8*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 22\/4599827 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1339.\nAnswer: 10712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46350 by -30.\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Suppose t = h - 9 - 10. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681*a + 90632 - 164596 = 0 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(99) - (sqrt(99) + sqrt(99)*-3*5))*-1)\/((2*sqrt(864))\/sqrt(6)).\nAnswer: -15*sqrt(11)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -1\/5 (c) -280.4 (d) -0.99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -44*w - 7 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2044*v - 4276*v + 2453*v.\nAnswer: 221*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -473?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -88. Solve 2*i + q = -4, -5*y + 3*i = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -41. Suppose q = 3*r + 4*g, -r - g - 5 + 14 = 0. Let o(n) = -n**3 + 6*n**2 - 2*n + 1. Give o(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -125, -236, -349, -464, -581, -700, -821?\n\"Answer: -q**2 - 108*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 5*l = 14*y - 22*y - 20, -7*y - 4 = -l - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*x + 14, 0*b - 5*x = 2*b + 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = 57*y + 118640. Let w = y + 1482. Suppose 4 - 26 = -5*f - 3*s, -4*s = -3*f - 10. Sort f, 5, w, -3 in descending order.\nAnswer: 5, f, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*d + 28 = 0, 3*i + 12 = -i + 2*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away -337887089300?\nAnswer: 337887089312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 6 in ascending order.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q + 26*q**2 + 31*q**2 - 86*q**2 + 34*q**2. Let s(b) = 5*b**2. Calculate p(s(d)).\nAnswer: 125*d**4 + 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - c = -254, b - 4*c = 64 + 8. Suppose 16*h - 12*h - b = 0. Calculate the least common multiple of h and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Suppose -2*g - 10 = r. Let u be g\/(-5) + 16\/(-40). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 97*u - 15. Suppose 4*z - 12 = 2*o, -9*z = -4*z - 5*o - 15. What is the hundreds digit of b(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 22*s**2 + 5*s + 148. What is b(-22)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - y = -0*y - 22, -3*y - 9 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 370 + 358 = 0. Suppose -7*d = -6*d - 2*c - 1554, b*c - 1549 = -d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 - 2*g**2)*(0*g**2 + 2*g**2 - g**2) - 2*g**4 - 3*g**4 + 3*g**4 - g**2 + 64*g**3 + 5*g**4 + 58*g**3 - 119*g**3.\nAnswer: g**4 + 3*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8385.51 rounded to the nearest one hundred?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. Is a*-4*388\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -24 - -23) + -2 + -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2629, 2538, 2447, 2356?\nAnswer: 2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b - 7. Let x be r(0). Let u = -4 - x. Suppose n - m = 32, 7*n - 3*n + u*m = 149. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97278?\nAnswer: 2, 3, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-102)\/(-3)*6\/42?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -113*n + 112*n + 434. What is the highest common factor of 372 and n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuguguux. Give prob of sequence gx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/19*((-14)\/(-12))\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -89. Suppose y = -y - j. Let b = y + 25. Calculate the greatest common divisor of 45 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10572990 and 1182?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2204*l - 50663. Calculate y(-23).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**5 - 476*h**4 - 18748*h**3 - 244068*h**2.\nAnswer: -4*h**2*(h + 33)*(h + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2386.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + 8 = 0. Suppose 7 = 5*u - 8. Let l(n) = 3 - n + 0*n + u*n. Let r(h) = -2*h - 2. Give j*l(v) + 3*r(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 720712*a**2*i**2 + 2*a**2*i*s**2 + 286*a**2*i*s - 98*a**2*i + 3*a**2*s + 11*a*i**2*s**2 wrt i?\nAnswer: 1441424*a**2 + 22*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.43 and -0.14?\nAnswer: 0.0602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 487963827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**(-17))**4\/((k\/k**(2\/3)*k)**(4\/13)\/(k**(2\/5))**9) assuming k is positive.\nAnswer: k**(30874\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18159\/57002 - 1\/2591. Let x be -2 + ((-82460)\/8)\/7 + 0. Let f = x + 1425. Find the common denominator of f and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24284 divided by -4\nAnswer: 6071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 14, 33, 60?\n\"Answer: 4*t**2 - t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*c = 22, -22 = -4*n + 2*c - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-468) - 2\/8)\/(3627\/30132)\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2411\/24 + -100. Let o(x) be the third derivative of 0*x - s*x**4 + 1\/3*x**3 + 0 + 3*x**2 + 3\/20*x**5. Determine u, given that o(u) = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -35\/225384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 32*w - 164. Let c be q(-26). Let f(d) = -4*d + 4. Let n(v) = 11*v - 11. Determine c*f(b) - 3*n(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-3)\/(-12)). Let c(f) = f - u + 6 + 6 - 2*f. Determine c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6282 + 9486. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + 1)*5\/(-15)*522\/(-812)*7\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375403376 to the power of 1\/2, to the nearest integer?\nAnswer: 37086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(24\/4))\/((-16)\/(-56)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.08135 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 51 = 46. Suppose -g*s = 5*p - 130, 4*s - 19 = -p + 79. Suppose -s = -5*j - 4. What is the remainder when 7 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1544 - 1532. Calculate the remainder when 380 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13359 is divided by 1094.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3128963021 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:50 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425*r + 230202 = 479*r. What is the greatest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28*(-1 + (-21507)\/(-7)). What is z rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 81*r**2 - 18*r + 50. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbybbbyybyybbyybybby. What is prob of picking 4 b?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -290 - -442. What is the highest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684772456.\nAnswer: 2, 157, 457, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/110292 and -131\/2184?\nAnswer: 220584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8653 = -n, -p - 4*n = -4*p + 5185. What are the prime factors of p?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*a - 135*a - 24*a - 735*a = 51212 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 360\/(-84) + 4*1. Let c = -29 + 55\/2. Sort -0.1, c, v, -3 in descending order.\nAnswer: -0.1, v, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 + 17328*i**2 - 17325*i = 0. What is i?\nAnswer: 0, 1, 5775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(7)) + sqrt(7) + sqrt(7) + (sqrt(70)\/sqrt(5))\/sqrt(2).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {j: 2, e: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -711, -721, -743, -783, -847, -941, -1071?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 50 = 2*c. Let w = -88.8 + 89. Is w less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 231, 461, 691?\n\"Answer: 230*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Is t != -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/281 - -1401\/562. Sort 2, -3\/8, d.\nAnswer: -3\/8, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhi when three letters picked without replacement from mzihzh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/(sqrt(9)*2 - sqrt(9)) - (sqrt(3136) + sqrt(3136)*4 - sqrt(49)))\/(sqrt(112)\/sqrt(64)*-6).\nAnswer: 38*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 33, 416, -12, 0.\nAnswer: -12, -4, 0, 33, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + (-6)\/((-6)\/2). Let m be ((-10)\/((-6)\/(-3)))\/1. Sort m, -3, q in decreasing order.\nAnswer: -3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (2 + -5 - 4). What is the common denominator of -11\/6 and -17*(1*(-14)\/v - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 739, 737, 735, 733, 731?\n\"Answer: -2*y + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -174.1. Let k = 1.02 - f. Which is bigger: -2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 880.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**3 - 5*r**2 - 1. Let d = -9194 + 9200. Let c(p) = -14*p**3 + 4*p**2 + 1. Determine d*c(n) + 5*l(n).\nAnswer: -19*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 4. Suppose 2*j + 20 = i*j. Is 17 a factor of (-71)\/(-2) - (-2)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 0. Let g = 0.3 + t. What is the third smallest value in g, 1\/6, -2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35028 - 131084. Let m be x\/(-59) - (-12 - -9). Let r = m - 1631. Is 0 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1, 9 in descending order.\nAnswer: 9, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 0 + 2 - 9*o + 0*o - 17. Let m = 15 + -25. Is 35 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 + 106. Solve -2*i - j = 12, b = -0*i + 3*i - 5*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**3\/o)\/o)**(-35)*(o**2)**(-6\/7))**(1\/5) assuming o is positive.\nAnswer: o**(-502\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 56 = 22*y. Let s = -115 - -601. Suppose -5*n - 207 = -4*a + 423, 0 = -y*a - 3*n + s. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4725 + -1586. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51651517.\nAnswer: 51651517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3 = 3*g - k, 3*g + 0*g - 45*k = -47*k + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 21. Suppose 0 = -i*y - d + 277, -y + 2*y - 44 = -4*d. Let g = y + -36. Calculate the lowest common multiple of g and 38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 0, -5*q + 0 = -a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -2 - (2 + 0 + 5 + -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 18 + 2 = 0. Let q = x + 16. Let c = 101 - q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + 7. Calculate the remainder when z is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2 + 74\/(-44). Let g = 2 - 1. What is the second biggest value in 0.5, r, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -35. Let w(q) = 5*q - d*q + 3*q. Let v(i) = -2*i. What is v(w(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:17 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 9. Let i be l(-11). Let b be 1\/((i\/6)\/(-1)). Suppose -b*j = -6*j + 78. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 3*g + 4. Let q be m(4). Let a be 1 + (3 + 0 - q). Suppose 0 = -3*j + 5*b + 55, 0*b = 2*j + a*b - 22. Solve 3 = -4*r + j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4749*d = -11637 - 171995 + 41162 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 69245544 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-40)*q**(1\/3)*(q**(-1\/8)*q*q*q)\/q assuming q is positive.\nAnswer: q**(1013\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -424, -886, -1362, -1858, -2380, -2934?\n\"Answer: -o**3 - o**2 - 452*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2774037 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 - 294714*z**3 + 589419*z**2 - 294708*z = 0. What is z?\nAnswer: 0, 1, 98236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-5) + (-44)\/(-110). Let t be ((-612)\/20)\/(m\/(-40)). What is the tens digit of t\/(-8)*(-220)\/33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2*5 + sqrt(76) + -1 + sqrt(76) + 2 + 3)**2*4.\nAnswer: 768*sqrt(19) + 43840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2074589\/93 + -22307. What is the common denominator of u and -55\/27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208, -1211, -1216, -1223, -1232?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*v - 32, -b + 8 = -10*v + 7*v. Put 2, 122, v, 18 in increasing order.\nAnswer: v, 2, 18, 122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 220, -2\/9, 115 in decreasing order.\nAnswer: 220, 115, 0.9, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1458 at least -1456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 387 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2924*f**3*r**2 + 2*f**3*r + f**3 - 7*f**2*r**2 - 54*r**2 - r - 4 wrt f?\nAnswer: -17544*r**2 + 12*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -817642*o**3 - o**2 + 35621*o - 2 wrt o.\nAnswer: -4905852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14, -1, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.056, 187\/4, -2, -0.2?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 1. Let i(u) be the first derivative of u**3\/3 - 7. Give f(i(t)).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 67545, 135198, 202955, 270816, 338781?\n\"Answer: 52*a**2 + 67497*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 925?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13868 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -14. Let p = -7 - r. Solve p*n - 6 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -422 - -418. Let n = 7 - 7.7. Let y = n - -3.7. What is the third smallest value in -0.4, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -262, -496, -716, -916, -1090, -1232, -1336, -1396?\n\"Answer: s**3 + s**2 - 244*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 11*y**2 - 5*y + 10. Let a be h(-5). Differentiate 63 - a*j**2 + 11 - 26 with respect to j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6322 * -5155.\nAnswer: -3258.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/8 + 25*u**3\/4 + 673*u**2\/8 + 150*u + 72 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8568 and 1836.\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*p + 1748 = 103*p. List the prime factors of p.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 197*a**2 - 653*a - 158071. Calculate p(204).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 2*v + v)*(-533 + 2754 - 5225 - 3225 - 4696) to b + s*v and give s.\nAnswer: -21850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/2 - 47119*f**2\/2 - 141339*f = 0.\nAnswer: -47113, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -43045*z - 693. Is c(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -13. Let h = 36 + -32. Sort h, 2, m, -2.\nAnswer: -2, m, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 230?\nAnswer: -1\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1257333 to 3 decimal places.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974 (base 11) in base 3?\nAnswer: -12020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1 + -760826441?\nAnswer: -760826454.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 17, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 3:46 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4472 by -10598.\nAnswer: -2236\/5299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.34 and -0.173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/((-13)\/10) + -5. Solve 2*s + 6 = 2*u - u, -v*u = -2*s - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202210 + -222202?\nAnswer: -10202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(-1*5\/(-10)). Are c and 45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -691.\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 6*l + 10. Suppose 0 = -4*b - 3*m + 22, 5*m = 3*b + m - 4. Let q be j(b). Let n be 0 + (-4 + q)\/1. Which is greater: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = 12*y - 1064 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 13*y**2 - 14*y + 2. Let a be f(14). Is 80 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63\/10? (a) 2 (b) -5 (c) 10\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17067 = 404*y - 4749 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - (-2508)\/(-48). Let w = -49 - f. What is the third derivative of -108*q**2 + 67*q**2 + 15*q**3 + 19*q**w wrt q?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4\/5 (b) 77 (c) 0.5 (d) -0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 20727662\nAnswer: 228004282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) 4 (c) 1\/7 (d) 2 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35 - (-5312)\/144) + 9. Factor -8 - 106\/3*x + s*x**3 - 308\/9*x**2.\nAnswer: 2*(x - 4)*(7*x + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662564 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137*u**4 + 2*u + 97?\nAnswer: -1644*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400133011 to the nearest integer?\nAnswer: 20003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/12 in 1\/5, 1\/3, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 194423, 194173, 193923, 193673?\n\"Answer: -250*m + 194673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5048321 or 12.9?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21929115, 21929114, 21929113, 21929112, 21929111?\nAnswer: 21929110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.2 - -1. Let j = -8 - g. Which is the nearest to -1? (a) j (b) -8\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 2. Let j(d) = -11*d**2 - 7*d + 14. Let r(l) = -j(l) + 5*p(l). Suppose 2*t = 4*t + 12. Give r(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-12)*(-22 + (-74)\/(-3)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*d**3 + 176*d**2 wrt d?\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319882157 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrrh when four letters picked without replacement from rrprhhr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8*x)\/x)\/(x\/(x\/(x*x**(-6))*x)*x))\/((x*x**3)\/(x*(x**(-8)*x)\/x)) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 552229637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/131, 7486, 25 in increasing order.\nAnswer: -6\/131, 25, 7486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3320470 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/10 + 2\/5. Let s(y) = -58*y + 698. Let t be s(12). Which is the smallest value? (a) t (b) -2 (c) m (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, and 1 l when three letters picked without replacement from lvlvmilvmvvdmill.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**2 - c + 2. Give s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q - 1. Let y be b(2). Let a = 1\/325 + -1311\/3575. Is a at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 15) to base 5.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2097671467 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93096, -93098, -93100, -93102, -93104?\n\"Answer: -2*v - 93094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -39, -77, -125, -183, -251?\n\"Answer: -5*j**2 - 13*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 263563, 527138, 790699, 1054240, 1317755, 1581238, 1844683?\n\"Answer: -o**3 - o**2 + 263585*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32928784781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101010100000000011 (base 2) to base 9\nAnswer: -284715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7047270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 0*z - z)*(9*z + z - 3*z)*(0 - 3 + 2) as o + p*z**2 + h*z and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Let n be (-3 + 3 + -1)*-5. Suppose 0*x - n*x + 65 = 0. Solve -i*t - x = 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 13912?\nAnswer: 27824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 34*d**2 + 1289*d - 15. Calculate c(-38).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 - 22696*o**3\/7 + 10889384*o**2\/7.\nAnswer: 2*o**2*(o - 10846)*(o - 502)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262408 = 3068*z + 75260 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 154080.\nAnswer: 462240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k - 169*k + 17*x = -89*k - 50, k = -5*x - 3 + 1 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**3 + d**2 + 5. Let w(i) = 4*i**3 + 3. Suppose 4*j + 7 - 27 = 0. Let q(o) = j*w(o) - 3*f(o). Find the third derivative of q(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 11*n**2 - 23*n - 30. Let m be (1*6\/1 - -7)*1. Let c be x(m). Solve 4*s - c = -1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x + 3. Let c be k(-2). Let z be 2\/(-12) - 500\/(-120). Let t = c + z. What is the smallest common multiple of t and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/44 - (4779\/3300 - 1) and -23\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 22*k - 5*g = 40, -3*k = 4*g + 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 27*z + 12. Let y be w(9). Suppose 0 = -3*l + 2*t + 901, -y*t = -4*l - 7*t + 1213. Calculate the highest common divisor of l and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d2f9 + 78?\nAnswer: 3d371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 - 4212444?\nAnswer: -4212300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6664423 (base 7) to base 10.\nAnswer: 822727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -54 + 0*d + 0*d**2 - 1\/3*d**3. Let b(i) = -22*i + 3. Let f(n) = -66*n + 10. Let k(u) = -10*b(u) + 3*f(u). Give k(z(l)).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404250 (base 6) in base 2?\nAnswer: -10011001110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -631, -633, -637, -643, -651, -661?\n\"Answer: -v**2 + v - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*((2*sqrt(2499) + sqrt(2499))*-1)\/(((sqrt(3) - -1*sqrt(3)) + sqrt(3))*-2 - -3*sqrt(48)))**2.\nAnswer: -140*sqrt(17) + 20889\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 18}. Give prob of picking 1 r and 2 m.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 6, -5 in decreasing order.\nAnswer: 9, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/((-33)\/275)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by -76.\nAnswer: 61\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 7. Let o be u(0). Is o + -3 - -39 - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448668?\nAnswer: 2, 13, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*j = -202*j - 12558. What is the remainder when 4362 is divided by j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68407539 divided by -459111?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/7 - 102*l**4\/7 + 1228*l**3 - 89988*l**2\/7 - 8594*l\/7 + 12870 = 0.\nAnswer: -99, -1, 1, 13, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 smaller than 1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3156 or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50882c + -b?\nAnswer: 508821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -76*(18\/(-8))\/(-3). Let m be (0 + l\/6)*2. Let a = -9 - m. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -476*w**2. Let f(p) = 2*p. Give f(z(r)).\nAnswer: -952*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -22*t - 11. Let m be a(-4). What is the highest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*q**2 + 1 + (3*q - 2*q - 2*q)*(q + 2 - 2) - 5*q**2 + 3*q**2 - 5*q**2 - 28*q**2 + 99*q**2 - 15*q**2 in the form z*q**2 + u + v*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + u + 25. Let k be g(0). Let v be -5*(-5)\/(k\/2). What is the remainder when 41 is divided by -6*(v + (-22)\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1456 = 2*a, a - 719 = -13*u + 14*u. Let q = a + -722. Factor q + 28\/9*f**2 - 2\/9*f**5 + 10\/9*f + 4\/9*f**4 + 8\/3*f**3.\nAnswer: -2*f*(f - 5)*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d - s + 1018 = -36*d, 5*d - 5*s = 1260. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 175. Let o be f(0). Suppose 54*y - 59*y = -o. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/11 + (-1068)\/231*112\/(-96)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyycyyc. What is prob of picking 1 y and 1 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose -d + 10 - q = 0. What is the remainder when 23 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-6 - 4)\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51290572 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 92 in ascending order.\nAnswer: -3, 0, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (1 + sqrt(304) + (sqrt(304) - sqrt(304)*2))*-4 + (sqrt(304) - (sqrt(304)*2 + -1)) + 6*sqrt(304)*2)**2.\nAnswer: -616*sqrt(19) + 36834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 853 + 2?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354721 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/7 + 105*s**2 - 3500*s = 0.\nAnswer: 0, 35, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(2) - 2*sqrt(50).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/18259833 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:45 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29598889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199048, -398160, -597272?\nAnswer: -796384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*u**2 + 465*u**2 - 97*u**2 - 88*u**2 - 96*u**2 - 88*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -48*1355.8\nAnswer: -65078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 225, 356, 509, 690, 905, 1160, 1461?\nAnswer: 1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + (-270)\/(-20). Suppose 2*c + 6 = -3*z, 0*c + 5*z = -2*c - i. What is the least common multiple of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3175 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 3 + 3)*(-41 - 45 + 103).\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*s - 32, 9*g - 4*g - 2*s - 58 = 0. Let z = 13 - g. Let m(o) = o**3 - 3*o**2 - o - 4. Determine m(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 17*h + 9. Let g be r(-9). Which is the smallest value? (a) 3 (b) -3.8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 2 + 0 - 5 + 3.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 122. Let m be (-33)\/6*w\/(-2). Suppose 361 + m = 4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - x**2 + 11 - 3*x - 1. Let a be r(0). Let k be (-3)\/a*10\/(-12). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1) + -1 - -1. Suppose 4*u + 9 - p = 0. Let y(d) = -d**3 - d**2 + d. Give y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/17 + 20982*o\/17 - 26672004\/17.\nAnswer: 2*(o - 1146)*(o + 11637)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -37 in increasing order.\nAnswer: -37, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -357, 1\/8, 1\/519?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -3*b**2\/2 - 6. Let c(i) = -i**2. What is m(c(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199496 + -355102863\/1780. What is the common denominator of v and 49\/356?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 + 10*m + 40 = 0 for m.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*s + 1 - 0, s = 4*v + 3. Let h(a) = -3*a**3 + a. Let t be h(s). Is (t\/3)\/(6\/477) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18155*l**2*v + 42*l + 43*v + 167211 wrt l.\nAnswer: 36310*l*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x**2 + 2*x - 8. Let w be u(6). Suppose 5*o - 2185 = -4*f, f + w = 2*f - o. Let a = f - 1696\/3. What is the common denominator of a and 61\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 13*o + 13. Suppose y = 6*y - 15. Suppose p = -y*p + 52. Let d be k(p). Solve 3*h = 2*l - 16, l = 2*l - 4*h - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 879142?\nAnswer: -3\/439571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 4. Let l(i) = 2*i + 2. Calculate -3*a(u) - 5*l(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 16, b: 4}. What is prob of picking 2 b?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 8*m**3\/3 - m**2\/2 - 4. Calculate the lowest common multiple of b(-1) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 - 6. Give v(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1153?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/3, 2, 7, 4\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -4*h**2 + 4*h + h**2 + 0*h**2 - 1. Is a(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 - 5*u - 4. Suppose 3*f = 4*p - 25, 3*p - 2*f + 5*f = 3. Determine l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3631055 in -24, -0.2, -0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 765918163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 - -157. Suppose -3*s + 74 = s - 2*y, -2*s + 5*y = -25. What is the greatest common factor of s and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + n**4 + n**4 + (-90 - 53 - 28*n + 145)*(-2*n**3 + 7*n**3 - 3*n**3).\nAnswer: -58*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 11929.\nAnswer: 71574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 142905004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*(-34)\/(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411\/64961 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6949 is divided by 98?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -0.1. Let n = 11.987 + -11.787. Which is the second smallest value? (a) n (b) 21 (c) 1\/6 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 3*i + 15, 333*m - 2*i - 2*i = 339*m - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1228568535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 5, -46, -65?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*z + 2*z - 63 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8670\/21491 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3741\/62, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - -75 - (1 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -871*q + 1 - 10 - q**2 - 1 + 849*q. Calculate r(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6192 and 14274.\nAnswer: 8082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nillikyviiikyvnin. Give prob of sequence ivn.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.386 - 0.286. Let m = v + -25. Let w = 1.4 + -8.4. Sort w, m, -3\/7 in descending order.\nAnswer: m, -3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56920?\nAnswer: 2, 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00571670281 to five decimal places.\nAnswer: 0.00572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/10*(-50)\/10. Let r = 127\/3 + q. Suppose -2*d = -6, -3*g - 5 - 19 = -d. What is the nearest to 0 in -0.5, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183966?\nAnswer: 2, 3, 30661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670112867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*-2*0. Solve 9 = -3*t - s*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 + 59*w**4 - 93*w**3 - 1485*w - 52.\nAnswer: 20*w**3 + 708*w**2 - 558*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1360*o**2 - 1305*o**2 + 2834*o**2.\nAnswer: 169*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 13*c - 34 = 106, -10745*h = -10749*h + 2*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 321290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/110 and (-262)\/(-120)*280\/(-112)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/45 and (-8 - (-1266)\/108)\/(10\/3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {v: 2, z: 5, f: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -806219*g + 2418621. Calculate c(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.4737 to the nearest integer.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*p - 198197, -10*i - p + 132135 = -8*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -1\/3 (b) -1\/7 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, u: 1, v: 1, r: 1}. What is prob of sequence quv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 43 and 371109295.\nAnswer: 371109338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*q**5 - 16*q**3 - 2*q**2 + 62977*q?\nAnswer: -360*q**3 - 96*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*-2*6)\/sqrt(8).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = -5*q, 0 = -4*u - 4*q + 2*q - 14. Let n be u - (-82 + 5) - (2 + -1). Suppose -6*f = -4*f - z - 46, -3*f = z - n. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 13. Let f be w(-7). List the prime factors of (-63)\/f*(-10)\/(-3).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12503818\nAnswer: -2\/6251909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-28)\/8 - (-6)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 920538*c + 920590*c + 68*c**2 - 1841128*c.\nAnswer: 68*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/((((t\/((t\/(t\/t**(1\/7)))\/t))\/t*t*t)\/t)\/t)))\/(t\/(t*t**4)))**(-48))**(-6\/25) assuming t is positive.\nAnswer: t**(9792\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/510331 and 53\/3.\nAnswer: 1530993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32677 (base 11) in base 16?\nAnswer: b923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165 - 168 - (1 - (-2 - 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 495, 0.2, 0?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.10675 rounded to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66244233 (base 7) to base 3.\nAnswer: -101201011202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11391722?\nAnswer: -11391722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.05 - -3.95. Sort f, -4\/3, 2 in ascending order.\nAnswer: -4\/3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548272 is divided by 451?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*c - 1875*c - 3337*c - 2974*c + 961*c - 1362*c.\nAnswer: -7415*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*((20 + 3 - 6)*(3 - 6 + 2) + (-8 - 2 - 27)*(0 + 1 + 1))*(15*d**2 - 14*d**2 + 4 + 3) to q + o*d**2 + h*d and give o.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 2693*d**4\/2 - 4197*d**2\/2 + 182. What is the second derivative of a(c) wrt c?\nAnswer: 32316*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 328*o - 267*o - 3 - 2539*o in the form h*o + u and give h.\nAnswer: -3134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -47 + 26 + 21 + -7 + -102?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:30 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/7 - 158*x**4\/7 - 38*x**3\/7 + 2942*x**2\/7 + 4740*x\/7 = 0.\nAnswer: -3, -2, 0, 5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/2 + 263078*r**2 - 3156882*r + 9470592 = 0. Calculate r.\nAnswer: 6, 526144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 5*z - z + 17*z to t + n*z and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + -174. Let o = v + 197. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.56479 to two decimal places.\nAnswer: -12.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = 4, 2*b + 64 = 2*x. Let o be x\/45*5\/2. Suppose -f + o*f - 29 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908000670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -80*o**3 - 23*o**2 + 127*o. Let v(a) = 16*a**3 + 5*a**2 - 26*a. Calculate -4*r(n) - 19*v(n).\nAnswer: 16*n**3 - 3*n**2 - 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 10 - 327*q - 12 - 1 in the form u + s*q and give s.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.06 (c) -0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152584\/19 or -8030?\nAnswer: -152584\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 12. Let s(j) = 5*j**3 + j**2. Let l be s(-1). Let y = l - g. Solve -2*d = y - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 2668276.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -291713, -290828, -289943, -289058, -288173, -287288?\n\"Answer: 885*d - 292598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21 + 284\/14. Let b(p) = p**2 + 8*p + 13. Let s be b(-13). Let v = s + -68. Calculate the highest common divisor of v and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232 - 227. What is the units digit of 984\/54 - o\/(45\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-219 + 65775*d - 5*d**2 + 3*d**2 - 65772*d)*(-2*d - d + 5*d) in the form v*d**2 + f*d + a*d**3 + s and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -32, 21.\nAnswer: -32, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k + 36. What is the common denominator of 52*(3 + (-26)\/k) and (6\/(-4) - -1)*7?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-3)*4\/14. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32725\/65458 - -2\/32729. Solve -w*a**3 - 4 + 3*a + 3\/2*a**2 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 16. Let m be t(-2). Suppose 30*i - m*i = 752. Is 47 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.3, 1\/28, 2, -1\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007527 to 4 decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/73486 and -73\/78735.\nAnswer: 1102290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**3 - 197*y**6 - 67*y**2 - 2*y**3 + 278*y**2 + 3*y**3 wrt y?\nAnswer: -23640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5509066472 and 949?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 276869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41635984.\nAnswer: 2, 13, 47, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1328200 and 1374000?\nAnswer: 39846000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -1 + -5 + -2*(sqrt(11) + (sqrt(44)\/sqrt(2))\/sqrt(2)).\nAnswer: -6 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 10910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 11. Let d(k) = -12*k**3 + 22*k**3 - 14*k**w - 2. Let f(p) = 7*p**3 + 4. What is -5*d(s) - 3*f(s)?\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 - 1. Let z be c(4). Let s be ((-16)\/20)\/(z\/15). Let x = 10 + s. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxxk when four letters picked without replacement from khxxhxhxxhhxx?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z**5*(z\/(z*z**1))**(1\/3))**(4\/9) assuming z is positive.\nAnswer: z**(-52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 435 + -87. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1840 + 1873 - (128 + 5 + -5)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Let a = -688\/3 + 230. Let w = -0.1 + 0. What is the nearest to a in -5, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f. Suppose 0 = h + 2*x - 5, -21 = 3*h - 4*x + 4. Let d be c(h). Suppose 0*a + a - 9 = d. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 40*h - 44*h. Let v = h + -60. Put v, -5, -2, 0 in descending order.\nAnswer: v, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 + 29 = -9*b. Let w = b - -50. Solve 4*i - 5*u = -22, -w*u + 7 = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 + 128*i - 9. What is k(32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4)**(8\/9)\/((a\/a**3)\/a)**(2\/67))**(1\/3) assuming a is positive.\nAnswer: a**(2198\/1809)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, u: 3, x: 2, b: 3, v: 5, m: 1}. Give prob of picking 3 v and 1 b.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 + 2*o**2 + 3*o**2)*(-71*o + 70*o + 172*o)*(-o + 2*o + 3*o + 1) in the form d*o + t*o**3 + k + b*o**4 + y*o**2 and give b.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13794 is divided by 261.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 412.6913 millennia?\nAnswer: 4126.913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31021 + 3131032231?\nAnswer: 3131001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10000010101110 (base 2) to base 4\nAnswer: 2002232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*k = -15, 5*k = -5*w - 6 - 24. Calculate the remainder when (-579)\/(-21) - w\/7 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -7*q**2\/2 - 5*q + 23. Let c(s) = 11*s + 8. What is 5*c(n) + 8*i(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let f(i) = i + 1. Let a be f(j). What is the common denominator of -6 and (-96)\/27 - -1 - a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 1. Let w be 1520\/6 + 4\/a. Suppose -54 + w = l. What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 561, 624, 687, 750, 813, 876?\n\"Answer: 63*b + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*f**2 + 563*f - f**3 + 135*f**2 - 563*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04831381 to four decimal places.\nAnswer: -0.0483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**3 + 436*h**2 + 1424*h - 640.\nAnswer: 2*(h + 4)*(h + 40)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/75*3\/(3\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-1\/3)\/q))\/q)\/q**(1\/5))\/(q**(-1\/2))**32*q**(-3\/8)\/q*q\/((q*q*q**(1\/5))\/q)*q**(-1\/2)*q**6 assuming q is positive.\nAnswer: q**(2527\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6911 + 10\nAnswer: 6921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1405262, -2810519, -4215776, -5621033, -7026290?\nAnswer: -8431547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6194272)\/21 - 17)\/((-2)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 537563?\nAnswer: -537561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53172 + 73*m**3 + 53172)*(9*m**2 + 0 - 6*m**2 - 2).\nAnswer: 219*m**5 - 146*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2087, 1916, 1757, 1616, 1499?\n\"Answer: j**3 - 178*j + 2264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000111 - 111010?\nAnswer: 1000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -1.21. Let t = u + -0.71. Let s = t - -0.6. Which is the third smallest value? (a) s (b) -5 (c) 10 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*a**2 + 3 - 5 + 2.\nAnswer: 412*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (118\/(-472))\/((-2)\/16). Solve -c*q - d = 2, -6*d + 5 = 5*q - d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 1274. Let f = p - -114. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90\/7 + -263\/21. Let i = -0.1 - -1.1. Sort i, m, -0.2 in ascending order.\nAnswer: -0.2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 - (3 - 10))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 10*b - 45. What is the tens digit of v(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 5*q**2 - 30635 + 30624 + 8*q - 4*q**3 + q. Let u(f) = 2*f**3 + 3*f**2 - 6*f + 6. Calculate 3*s(k) + 5*u(k).\nAnswer: -2*k**3 + 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 715576\/32582810573 - 3\/183823. Let j = t + 20383673\/34032192. Calculate the common denominator of -71\/3 and j.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*o - 28, -o + s = o - 6. Suppose 0*n - 136 = -2*b + 3*n, -b = -o*n - 68. Calculate the greatest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 12:27 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240086 and 4.\nAnswer: 480172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2, -23, -1, 3 in decreasing order.\nAnswer: 20, 3, 2, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -29*z - 186. Suppose -62 = 5*w - 342. Calculate the remainder when k(-14) is divided by w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 244251 + 2?\nAnswer: 244253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + sqrt(143)*2)*3 - (sqrt(143) + 6*sqrt(143)*2 - sqrt(143)))\/((sqrt(176) - sqrt(11))*2 - (sqrt(110)\/sqrt(160) - sqrt(11))))**2.\nAnswer: 208\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*1\/(70\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + -2)**2 - (sqrt(612) + sqrt(612) + -2 + sqrt(17)).\nAnswer: -17*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/((i*i\/((i*i**(-2\/3)*i)\/i))\/i*i*i*i))*i))**(-6\/11)*i**(-5)*i**(-7) assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/4 of a century?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(10\/9)*(n**0)**(-36) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/11))**16*(w\/w**(2\/91))**(2\/37) assuming w is positive.\nAnswer: w**(-267402\/37037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 488\/(-16)*(-9 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 47936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -23*s. Let k(y) = y**2. Give z(k(r)).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/14)\/(t\/(t\/(t*((t\/t**30*t)\/t*t)\/t))))**32 assuming t is positive.\nAnswer: t**(6320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1\/2 - -89. Suppose 2*x - j = -2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*f**2*j**3*o**3 - 55616*f**2*j**3 + f**2*j**2*o**2 + 17547*f**2*j*o**3 + 6*f*j*o**3 wrt j?\nAnswer: 90*f**2*o**3 - 333696*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 771311149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7872 and 96.2?\nAnswer: 757286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 762.\nAnswer: 59\/762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 + 18340*p + 42044450 = 0. What is p?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 25*o**2 - o + 44. Is z(-41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 933 and 169855449?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**3\/6 - q**2 + 2*q. Let l be s(-2). Suppose -2*m + 6*m - 4 = l. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 + -542 - (1 + (-9 - (4 - 3))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 12*v**2 - 9*v - 37. Let k be p(13). Suppose 24*m = k*m. Let i be m\/1*(-4)\/12. Solve -2*n - 1 + 9 = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 222 = 5*o - 0*x, -2*o = -4*x + 72. Let t = o + -147. List the prime factors of t\/(-18) - 1\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {c: 1, g: 1, m: 4, w: 1, t: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 - 6. Let h be 18\/42 + (-34)\/14 + -1. Let b = 9 + h. Let n(s) = -19*s**3 - 13. Give b*n(y) - 13*f(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -8. Is 4 a factor of (0 + q)\/3 + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-17)\/2)\/(2\/(-4)). Let b = -12 + f. Let u = 12 + b. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 27 (b) 0.05 (c) -15 (d) 2\/3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -504.8 - 56.2. Let x = z + 563.37. What is x rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1777 + -289. Is 36 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 5*q**2 + 3*q**2. Let u = -9 - -11. Let f(z) = 4*z**2 + u*z**2 - z**2 - 2*z**2. What is f(o(n))?\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -23) + (4 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qlrqmqqss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(2\/35)))**4 assuming n is positive.\nAnswer: n**(148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 15*d = -845. What is the highest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 19 = -2*f - v, -f + 32*v - 35*v = -73 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7819, -7821, -7825, -7831, -7839, -7849?\n\"Answer: -f**2 + f - 7819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwkw when four letters picked without replacement from {w: 4, c: 1, k: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29007 and 605924?\nAnswer: 5453316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277447 - -277449. Let w = -131 + 653\/5. What is the third smallest value in -2, 0.7, p, w?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 2*a - 5*a + (4 - a - 4)*(7 + 4 + 1) + a - a + 2*a + (-3*a + a + a)*(3 + 1 - 3) - 2*a - a + 4*a as l + b*a and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367 + 376. Calculate the least common multiple of 24 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9365, 18615, 27865, 37115, 46365, 55615?\nAnswer: 64865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.12 (b) -43 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (40\/216*(-18)\/(-15))\/((-1)\/36)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 10 - 2 = 0. Let j(a) = -g*a**3 - 4 - 4*a**2 + 4*a + 0*a + 0*a**3 - 4*a**3. Let b(u) = 13*u**3 + 9*u**2 - 9*u + 9. Calculate 4*b(m) + 9*j(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 1 + -7 - -2. Suppose c = 5*m - 0 + 5. Round m to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - r - 211 = -6*r, -5*c - 18 = -c - 2*r + 62 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t + 67*t - 48*t - 874 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n = -54*n + 3*r - 50, -n + 4*r - 65 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, -4, 172 in descending order.\nAnswer: 172, 3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellklkllekllqllk. Give prob of picking 1 q and 1 l.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 31*n + 143*n = -63*n + 19758 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 368241903 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 1304924663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.598 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*w + 6, -822*w - 2 = -823*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 16, 445*k - 446*k - 5 = u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155450872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1373 + 5*x - 1374 - 2*x. Let y(a) = a. Give -2*n(z) + 5*y(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5074994298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + 7*d**3 + d**2 - 7*d**2 + 4*d**2 + 9*d**4 + 5*d**2 + 2*d to o*d**3 + j + n*d**2 + r*d**4 + m*d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = r. Let h be ((-8)\/2 + 9)*1. Put r, h, -3 in increasing order.\nAnswer: -3, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 150 = 19553*z - 19548*z, 57 = -c + 2*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 34 = 4*c + 5*o, 0 = -2*c + 2*o + 8. Suppose -v + 19 + 4 = i, 2*i - 26 = 2*v. Calculate the highest common factor of i and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 68 = -7. Let h = -12 - t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40180713*j**2*m**2 - 110899*j*m**2 + 14*j*m - m wrt j?\nAnswer: 80361426*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 56?\nAnswer: -23\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/75)\/(45*2100\/101250)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 + 137. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/5 - 10192*q**3\/5 - 4739403*q**2 + 11820080692*q\/5 - 11796373484\/5 = 0. What is q?\nAnswer: -5306, 1, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -338 - -326. Let g(l) = -l**3 - 11*l**2 + 13*l + 12. What is g(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/((-26)\/299 + 88\/(-46)). Let t be ((-340)\/(-16))\/(g\/(-308)). Do -595 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 + k + 1. Let a(f) = 4*f**3 + 2*f**2 - 9*f - 14. Let v(z) = a(z) + 5*d(z). Suppose -2*x = 5*l - 28, 4*l - 5*x = -639 + 668. Give v(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 203, 480, 881, 1412, 2079, 2888?\n\"Answer: b**3 + 53*b**2 - 7*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-5*5 - (sqrt(77) - -4*sqrt(77))*-2)\/((-4*sqrt(176) + sqrt(176))*-2*4))**2.\nAnswer: 175\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(891) + (sqrt(891) - (sqrt(891) + (sqrt(891) - (3 + sqrt(891) + sqrt(891))) + sqrt(891)))*-6))**2 + -5.\nAnswer: -8100*sqrt(11) + 30368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**6\/420 + t**5\/210 - t**4\/42 + t**2\/2 - 3*t. Let v(z) be the first derivative of o(z). Factor v(h).\nAnswer: 2*h*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 224*g - 282. What is h(-111)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47870964 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.2 + 9. Let p = -2 - -2.4. Let f = 4.223 - 0.223. Which is the third biggest value? (a) p (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9*a - 16 = 0, -2*x + 1032 = -4*a. Let r = x + -65. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 233 = 4*s, -2*g + 174 = 2*g - 3*s. Suppose -2*c + 27 = 2*k - 19, 2*c + k = 46. Calculate the remainder when g is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 14, -19.\nAnswer: -19, -4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238887 + 16796 - 219423 - 16790 = 5208*f for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*q**2*r**2 + 20157*i*q**2*r - 7673*i - 9*r**2 + 2*r wrt q.\nAnswer: 6*i*q*r**2 + 40314*i*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 487739822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 8928031.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*k + 19, 4*f - 3*f + 3*k = 18. Differentiate -3749*t**3 + 46*t**4 - 42 + 3749*t**f with respect to t.\nAnswer: 184*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22522, -25118, -27712, -30304, -32894?\nAnswer: -35482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 22. Calculate the remainder when 5 is divided by 3 + (-1 - -2) - (11 - f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivvviiv. Give prob of picking 3 i and 1 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*t + 19 = -57, 7*u = 3*u - t + 701 - 667 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*b + 4*l, 0*b - 2*b + 3*l = 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 2*s**2 - s**3 + 4*s**2 - 9*s**2 - 3. Let k be d(-3). Solve k = o + 3*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9537 + 47692\/5. Find w such that 18\/5*w - q*w**2 - 8\/5 - 3\/5*w**3 = 0.\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086854.\nAnswer: 2, 543427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x + 29. Let g = -1602 - -1597. Calculate r(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1214861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/8 + 11*m**3\/3 - 5*m**2 + 2*m. What is the tens digit of k(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11047*r - 5119*r - 5172*r - 3024 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - -312*(-342)\/741?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -17792\nAnswer: 3\/17792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((19 - (14 + 24)) + -16).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59069593, 59069578, 59069559, 59069536, 59069509, 59069478, 59069443?\n\"Answer: -2*y**2 - 9*y + 59069604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-3)\/(-540)) + -3. Suppose h + b = 4*h + z, 3*b = 3*h + 171. Let f = h - -123. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-8))\/(-1 - -4). Let q be (4\/4)\/(-5 - -2). Which is the nearest to k? (a) -7 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3324 + 3324 + 18*f**2. Let q(b) = -12*b. Determine d(q(s)).\nAnswer: 2592*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 3:14 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6317914?\nAnswer: 2, 17, 185821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.2. Let n be 1380\/700 + (-264)\/168. Which is the nearest to i? (a) 6 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530805 divided by -106161?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/542 and -29\/48.\nAnswer: 13008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 152*a**2 + 180*a - 161. Is 64 a factor of v(75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 739*a - 1779*a + 1042*a - 14.\nAnswer: 2*a - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 12:48 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3351.8, -4, 2\/9, -0.5, -2, 0.5 in increasing order.\nAnswer: -4, -2, -0.5, 2\/9, 0.5, 3351.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -89?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -25*m**3 - m**2. Give o(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = f + 1, 2*j = 3*f - 4*f - 7. Put -2, 3, j, 1 in increasing order.\nAnswer: -2, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132729*a*g**4*n - 4*a*n**2 - 2*g**4*n**2 - n**2 + 6*n - 85 with respect to g.\nAnswer: 530916*a*g**3*n - 8*g**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2. Let s(m) = -601*m + 5. Let z(l) = -l**3 - l**2 + 3*l - 2. Let p be z(0). Let n(h) = 300*h - 2. Let g(o) = p*s(o) - 5*n(o). Calculate g(r(v)).\nAnswer: 298*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/3)\/(j**(2\/15)*j)*j**3\/j**(-1\/2) assuming j is positive.\nAnswer: j**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -47 + 6 - -37.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**3 + 45576*w**2 - 129823236*w = 0.\nAnswer: 0, 5697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/9047 or -1?\nAnswer: -23\/9047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 - 242 - (-1 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Let x = -10 + j. Round x to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17664 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 94 - 158 = 0. Which is smaller: y or 64?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 843.75 - 846.45143. Let q = g + 2.7. Round q to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5873570.\nAnswer: 2, 5, 31, 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120545 and 5815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = 12*r + 5*a - 9, -4*a - 4 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -392.122 + 392. Let d = p + 129.122. What is the closest to -2\/3 in -2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4541 is divided by 756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1*3)\/(sqrt(216) - (sqrt(216) + -2*sqrt(216))))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/390 and -43\/4.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -38890\/19 greater than or equal to -2046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 2:55 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpkkkps. Give prob of sequence bs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69340 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -697 - -402. Let f = k + 291. Which is the third biggest value? (a) -3\/7 (b) -0.9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014348967 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m + 5*a + 70 = 0, 2*a = -3*m - 49. Which is greater: -17 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7642127, -7642130, -7642133, -7642136?\n\"Answer: -3*k - 7642124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-17)\/t**(-31)*t**(2\/11)\/(t\/((t*t**(-21))\/t)) assuming t is positive.\nAnswer: t**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 466.69556 to 1 decimal place.\nAnswer: 466.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 436\/192*-11 + (93 - (158 + -90)).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2005 divided by -214281\nAnswer: 2005\/214281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7312?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let k = 5 - m. Find the second derivative of -8*f**3 + 8*f**3 - 3*f**k - 4*f wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -3. Let b = j - 13. Let t be (6\/(-20))\/((-15)\/(-20)). Put 0, t, b in ascending order.\nAnswer: b, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -5 + (3 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine thirds of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 29473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -3.1 (b) 0.6 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x + 0 + 1\/4*x**5 - 9*x**2 - 5\/12*x**4 + 0*x**3. What is the second derivative of y(k) wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.50369mm to micrometers.\nAnswer: 33503.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + q - 77 = 2*n, -6 = -3*q. Calculate the highest common factor of n and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(20) + sqrt(120)\/sqrt(6)))\/(sqrt(4) + sqrt(16)\/(sqrt(24)\/sqrt(6))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 2, h: 4, i: 2, b: 1}. What is prob of picking 2 z?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 3021.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.308 to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 5*s + 6. Let r be k(-1). Suppose 97 - 89 = r*x. What is the highest common divisor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 19 - 40)*(-3 - 2*t + 3) + (2 - 2 + 2*t)*(-2 + 1 + 0).\nAnswer: 150*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 9*y - 5. Let c be l(-6). Let w be (c + 23)*1\/6. Is 3\/7 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**2 - 3*l - 11. What is the hundreds digit of j(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*z - 708, -z - 2*m = -195 + 27. Let h = -85041 + 85085. What is the remainder when z is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7080 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 567, 1085, 2091, 3747, 6215?\nAnswer: 9657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3617069385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1\/4*p**4 - 5\/3*p**3 + 3\/2*p**2 + 20 + p. Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5659.\nAnswer: 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, w: 3, g: 1, v: 6, k: 5, y: 4}. Give prob of picking 3 k and 1 w.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -199*o + 483. Calculate p(3).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*z + 88 = 0, 28*a + 4260*z = 4263*z + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/73? (a) 3 (b) -0.32 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9309 (base 11) in base 6?\nAnswer: 133103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 19182*z + 134606. Determine i(-7).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507, -583, -661, -741?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:46 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-318)\/(-636))\/((-1)\/(16\/14)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = -5*z + 2*z, 0 = 3*b + 6. Solve -z = v - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 8*o**2 + 5*o + 12. Determine p(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1440.167 - 31.267. Round j to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 6*-2*7\/(-9 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let h(c) = 4*c + 18. Let k(m) = h(m) + 5*l(m). Calculate the remainder when k(0) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 10*n - 1. Suppose -3 = g + 2. Let l = -5 + g. Let j be v(l). Which is the second smallest value? (a) -2\/11 (b) 3\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 20 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = 4*v, -5*f + v = -v - 62. Let h = -8 + f. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(1\/14))\/y*y*((y\/((y**29\/y)\/y*y))\/y)\/y*y*(y**5)**(-27) assuming y is positive.\nAnswer: y**(-2255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 16 - 11 - 3\/(-3)*0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.07 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymg when three letters picked without replacement from {m: 2, g: 9, y: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 24. Suppose 4*z + z = y. Calculate the highest common divisor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211001\/358 less than 589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 p when four letters picked without replacement from {w: 10, p: 1, k: 9}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 85*d + 42. Let z(o) = 45*o + 21. Let r(h) = 6*y(h) - 11*z(h). Let c be r(-1). What is the biggest value in -0.06, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -1 - (-8 + 2). Let n be (0 - y*-1)*-62. Let h = -129 - n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111002221222 (base 3) in base 10?\nAnswer: -1320920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2269.5 + -2269. Suppose -4 = -0*w - w. Sort -2, w, 2\/3, q in descending order.\nAnswer: w, 2\/3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from {h: 1, c: 1, v: 4, d: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66914*q + 3*n - 24 = -66917*q - 0*n, n = -5. Suppose 2*s - 284 = -2*s. What is the remainder when s is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((12 - 12 - 22*d)*(2*d + 1 - 1) - 3*d + 3*d + 6*d**2)*(-11*d + 11*d - 12*d**2).\nAnswer: 456*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*g + 2*g. Suppose g = -3*u + 4*u. Calculate the remainder when 11 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (0 - 40\/2). Suppose 3*y + 18*t - 128 = 16*t, -6*y - 2*t = -260. Let q = y + n. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 32 - 2 = -4*l, -5*h = -3*l + 58. Let b = l + 4. Suppose -b = -q - 3*w, 0 = q - w - 0 + 1. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1374 and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/120 + 281*g**4\/24 - 78961*g**3\/12 - 945*g**2. Factor p(r).\nAnswer: -(r - 281)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1306*p + 16 = -1310*p, -2*p - 16 = d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u = 3*l - 688, 4*l = 4*u + 936. Suppose 0 = t - 5*t + l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 478854*q - 6704005\/2.\nAnswer: (q - 7)*(q + 957715)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*q**4 + 4 - 20*q + q**2 - q**3 + 3 + q**4 to f + s*q**2 + k*q**4 + j*q**3 + a*q and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*b + 3882 = -1578 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12814894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -4 - 4 - -2. Suppose -h = -g*h + 3. Let r(p) = p**3 + 8*p**2 + 3*p - 4. What is the remainder when r(h) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-1320)*(12 - 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 105082377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*r = 13 - 145 - 77. Let w = 0.035 + -55.035. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:08 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21377*h**4 - 46*h**2 - 1396 wrt h.\nAnswer: -513048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:10 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 + 2 - 2*h**2 + 151*h + 32*h + 18*h - 4 in the form i*h + j*h**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-7 - 1) + -208 + 230\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 8:37 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5*z**3\/3 - 406*z. Let f(n) = -11*n. Calculate 3*f(x) + 2*i(x).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1611520 (base 7) to base 14.\nAnswer: 5aa10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 11*(-395)\/(-110) - (-129)\/(-2)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2)\/(t*t\/t**(-4)) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.03 (b) 0.2 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {z: 3, m: 1, h: 7, q: 1, r: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 81. Let v(s) be the first derivative of s**2 - 126. Determine t(v(q)).\nAnswer: -8*q**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Sort y, -0.1, 12.\nAnswer: -0.1, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdo when three letters picked without replacement from bbdbfobobbbbbf.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/21*(6 + -14 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7439 (base 14) to base 15.\nAnswer: -5e13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*w**5 - 6*w**2 + 6*w**2 + 3*w**5 - w**5 + w**5 + (w + 0 + 0)*(-w**4 - 3*w**3 + 3*w**3).\nAnswer: -w**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 7*q**3 + 12*q**3 + 21*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00351129 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l - 9. Let n(r) = r**3 - 3*r**2 - 3*r + 1. Let p be n(3). Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56.262 and 5.\nAnswer: 281.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.237 and -13052 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 101 + 5. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -16*h - 2. Let g(m) = -m. Let z(p) = 6*g(p) - v(p). Let b = 90 - 68. What is the smallest common multiple of b and z(1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 223, 3552, 12583, 30166, 59151?\n\"Answer: 475*r**3 + r**2 + r - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5182*u. Let g(h) = 95*h - 16. Let r(v) = -12*v + 2. Let c(z) = -3*g(z) - 24*r(z). Calculate c(p(j)).\nAnswer: -15546*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15485798, 30971579, 46457362, 61943147, 77428934, 92914723?\n\"Answer: j**2 + 15485778*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/372*(-14)\/4*4\/(-21)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.044265 to 2 decimal places.\nAnswer: 148.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07616 - -0.062308. Round p to 4 decimal places.\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97143001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1320 - -1315. Let t be ((-32)\/(-10))\/4 - 18\/60. What is the third biggest value in t, 8\/5, z, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 0.02, 3, 0.4 in decreasing order.\nAnswer: 3, 5\/4, 0.4, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 13 + 2*c + 17 to m + j*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1.97 (b) -4 (c) 0.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866011677.\nAnswer: 4111, 453907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u + 3*y = 35, 0 = u + 2*y - 15. Solve u*j - 4 = 6*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 21 = 20, 0 = -7*w + 2*d + 1311. What is the highest common divisor of w and 2332?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 7\/2, 7513?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = 4*l, 7*z = 3*z. Solve 0 = l*w - 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4956*t + 4957*t - 9909*t. Let j(r) = -85*r**2 + 2. Give j(n(i)).\nAnswer: -1360*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 + -b?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66920, -267772, -602526, -1071182, -1673740, -2410200, -3280562?\nAnswer: -4284826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(11)*1 - sqrt(1008)*1) + 5*(1 + sqrt(448))**2 + (sqrt(448) - (0 + sqrt(448) + 4)).\nAnswer: 69*sqrt(7) + 2241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 60\/14 + 1632\/21. Let k be -7*(-4 + g\/21). Is k >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/4 - (-9)\/(-60)*10. Let c(v) = -v - 3. Let n be c(-5). Factor 1\/4*d**n - p + 0*d.\nAnswer: (d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 + (-51)\/(-6))*(-1168)\/3. Is r greater than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183608.82 months to centuries.\nAnswer: 153.00735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*w - 2 - 8, w - 4*f = 4. Let k be 90*1*408\/(-18). Let p be w\/14 - k\/35. Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*(m*m**(-1\/11))\/m))*m)**16 assuming m is positive.\nAnswer: m**(336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*((a\/(a*a**10))\/a)\/a)*((a*a**(-1\/2))\/a)\/a)\/(a**(3\/4)*a)**(-1\/12))**(3\/2) assuming a is positive.\nAnswer: a**(559\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*m = -108, 2*q + 11*m = 16*m + 94. Suppose -14 = -2*h + d + 15, -3*h + 21 = 3*d. Calculate the smallest common multiple of q and h.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 364052b9?\nAnswer: -364052b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2933316680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 42112790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 8*f**2 + 7*f + 8. Let b be 28\/10*(7 + -2). Let g be (b\/(-3))\/((-2)\/3). Does 7 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -979, -1255, -1545, -1855, -2191, -2559?\n\"Answer: -k**3 - k**2 - 266*k - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/28 + 208\/416.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00063562171 to seven dps.\nAnswer: -0.0006356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 16 = -3*h. Let b = -84 + 84. Solve -2*x + 2*v = -5*x + h, 5*x + v + 5 = b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210211 (base 3) to base 9\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 58, 4, 3319 in decreasing order.\nAnswer: 3319, 58, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3 + 252.1. Let m = g - 256. Let q = -0.3 + 0.2. Which is the nearest to 0? (a) q (b) m (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 52963636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.636674 and -15.\nAnswer: -519.55011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -37*f**2. Let u(j) = 8*j**2. Calculate z(u(g)).\nAnswer: -2368*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + -16 + 31 + -50.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*j + 617 - 1778. Let b(r) = -r**3 + 11*r**2 - 7*r - 2. Determine b(j).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 1.8. Let y = g + 0.7. Which is the smallest value? (a) -0.08 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/120 - l**5\/30 + l**4\/12 - 2*l**3\/3 + 3*l. Let v(c) be the second derivative of b(c). Give v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 335912*w**2 - 10749188*w + 128.\nAnswer: 4*(w - 32)*(83978*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 172.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-45))\/(8\/20). Let n be 1\/12*(-12)\/(-7). Sort j, -2\/35, n in decreasing order.\nAnswer: n, -2\/35, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(sqrt(162) + (sqrt(162) - (1 + sqrt(162))*4)) - (sqrt(100)\/sqrt(2)*-3 + 5)))**2.\nAnswer: 1938*sqrt(2) + 6787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s. Let f(b) = -4*b. Determine m(f(a)).\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**4 - 3*k**3 + 505*k**2 + 35*k - 1508908 with respect to k.\nAnswer: 12*k**3 - 9*k**2 + 1010*k + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/131? (a) -15 (b) 2 (c) 245 (d) 1\/3 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 30, 53, 80, 111?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by 5.\nAnswer: -256\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18201 + 4464 = 15*n. Suppose -3*f - 24*v + 19*v = -n, 0 = 4*v + 8. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-20)\/252*3*3)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 3*m**2 + 12. Let o be i(-4). Let j = -3\/38 - -103\/342. Which is the closest to o? (a) 0.3 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -3.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*j**3 - 20*j**2 - 15*j.\nAnswer: 5*j*(3*j + 1)*(5*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16993 times 0.2187?\nAnswer: 3716.3691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 603272 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/2 - 2*p**3\/3 + p**2\/2 - 6*p + 7. List the prime factors of r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 12*s**2 - 11*s - 5. What is l(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.94833nm in micrometers?\nAnswer: 0.07594833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 17. Let l = 104 - 107. What is the tens digit of l\/9 - (-830)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-39*p + 11*p - 10*p)*(3*p**2 - 3*p**2 - p**2) - 5*p**3 + 4*p**3 + 2*p**3.\nAnswer: -75*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ce4 - -ce?\nAnswer: -1c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:01 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3221, 3216, 3207, 3194, 3177?\n\"Answer: -2*x**2 + x + 3222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -57*k**2 + 15*k + 12. Let v(y) = y**2 - 5*y - 4. Let r(l) = -2*j(l) - 6*v(l). Let f(a) = 2*a**2 + 1 - 1. What is r(f(x))?\nAnswer: 432*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -78.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-4) - (0 + -3). Let k(r) = 0*r + 2*r**2 - 5*r - 2 + r**2 - 6*r**2. Let x(u) = -u**2 - u - 1. Give a*x(g) - k(g).\nAnswer: -g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1279 - 1061?\nAnswer: -232a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) -27 (c) 4 (d) 2\/13 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1293744464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 27 = 24*r - 5*n, r + 4*n = 21. Let v(q) = -26*q + 5. Let p(j) = 26*j - 6. Give r*p(s) - 4*v(s).\nAnswer: 26*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22992238 or 68976713\/3?\nAnswer: 22992238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813452693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**6\/6 + 2*l**3\/3 - 5*l**2\/2 + 8*l + 58. What is the second derivative of j(g) wrt g?\nAnswer: 20*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -10 - (4 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 + 3*t**2 - 5*t - 4. Let i(h) = 4*h**3 - 3 - 43*h - 44*h + 83*h + 2*h**2. Calculate -3*g(j) + 4*i(j).\nAnswer: 4*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17617*q**4 - 8*q - 908 wrt q?\nAnswer: 211404*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -18 - (207 - 191)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59.8 - 67. Let h = -0.2 - u. Let i = -5 + h. What is the third biggest value in i, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -68*l**2 - 1217*l - 56. Calculate h(-12).\nAnswer: 4756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/w)**(-5\/16) assuming w is positive.\nAnswer: w**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -22*b - 2. Let a be p(0). Let h be -5 + a*(-78)\/30. Suppose h*y**5 + 8\/5*y**3 + 4\/5*y**2 + 0*y + 0 + y**4 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwwwdwwwwwwdwwwdww. Give prob of sequence ww.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 43266 - 43350 = -4*x, 2*x = 52 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 - 63*d - 64. Give r(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose 0 = -f*j + 24 - 9. Suppose -9*u + 12 = -j*u. Solve 0*t = -5*r + 5*t - 10, 0 = 4*r + u*t + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9068*k + 36 = -9050*k. Let b(a) be the first derivative of -k - 1\/3*a**2 + 0*a + 1\/9*a**3. Factor b(q).\nAnswer: q*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2082, -2772, -3498, -4260, -5058, -5892, -6762?\n\"Answer: -18*m**2 - 636*m - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 175459\/4 in 0.4, 1, -0.1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (26 + 6 - 90) + 24.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/((-1)\/(-10)). Let y = -1204.01 + 1204.05. Put 3, y, w, -2\/13 in decreasing order.\nAnswer: 3, y, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-o + 607 + 4*o - 582).\nAnswer: -3*o - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/5 - 1032*q**4\/5 - 391678*q**3\/5 + 1975836*q**2\/5 - 3170344*q\/5 + 1587216\/5 = 0.\nAnswer: -258, 1, 2, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.069004 and 5?\nAnswer: 0.34502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u - 4*g, -5*g - 10 = 2*u + 14. Let c be ((-4)\/(-34))\/(u\/5). Let w = 1\/119 + c. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -16*j**3 - j**2 - j - 2. Let x be -8 - (9\/(24 + -6) + 60\/(-8)). Give a(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.87 + 0.07. Let j = 0.2 - a. Let p = 7165\/19 + -377. What is the biggest value in p, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bixn when four letters picked without replacement from xxfxxbyxbnixyxnyb.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 8*m - 9. Let l be j(-6). Let f be (1\/(-2))\/(1\/(-4)). Let b(d) = -d + 2*d - 1 - d**2 + f*d. Calculate b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q. Suppose a + 5*z - 12 = 15, 0 = -4*a - z + 13. Let b(g) = -4*g + 0*g - g**a + 4*g. Determine c(b(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-15))\/t*t**(-26)*(t**37*t)\/t**(-16))**(2\/3) assuming t is positive.\nAnswer: t**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = -2. Let k = -0.0012 + 0.2012. Suppose 3*h - 14 = 2*g, -3 - 15 = -3*h + 3*g. Which is the nearest to h? (a) j (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = 5*f - 2*j - 3*j, 4*j = -3*f - 686. Let o = f + 391. Is 55 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/24)\/(((-4)\/3)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3897 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -5, 350616.\nAnswer: -5, -1, 5, 350616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2398910, -2398889, -2398868, -2398847, -2398826, -2398805?\nAnswer: -2398784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(2) + 2 + -3)**2 + 5.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(3\/(-3)) - -10. Let q(d) = -d**3 - 6*d**2 - d - 8. Let f be q(-6). Let b be f\/h + (-2)\/(-72). Put -4, 5, b in ascending order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (3 - (1 + 0 + -2)). Suppose v + 1 = -i, 5*i - 3*v + 4*v = a. Suppose i*n - 966 = -2*p, 0 = 5*p + 2*n - 850 - 1553. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.4 (c) 0.038 (d) -1\/7 (e) 0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 12, 0, -2\/11, -2\/7 in descending order.\nAnswer: 12, 6, 0, -2\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2779106, -2779105, -2779104, -2779103, -2779102?\nAnswer: -2779101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(22) - (sqrt(22) - (2*sqrt(1408) + sqrt(1408) - sqrt(22)))))\/sqrt(2).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -30*g. Suppose 5*y = -4 - 1, 3*y + 7 = -4*f. Let j be k(f). What is the units digit of j\/(-4)*(-16)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 30. Let h be x(29). Suppose -2*v - 3*b = -2*b + 1, 0 = -v - 2*b - 2. Let o be v + 0 + (-3)\/(-5). Put h, o, -0.2 in decreasing order.\nAnswer: o, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Let z(c) = c**2 + 28*c - 60. Let w be z(-30). Let d(s) be the third derivative of 1\/6*s**4 + 0*s + w*s**3 + 0 - s**2. What is d(o(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401486?\nAnswer: 2, 197, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1311415 - 60?\nAnswer: 1311325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbodbogoovyo. What is prob of picking 1 g, 1 d, and 1 o?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 44 + 2. Let k(t) = -4*t - 6. Calculate the least common multiple of k(-3) and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8777, 16824, 24875, 32930, 40989, 49052?\nAnswer: 57119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021222102001121 - -1?\nAnswer: 1021222102001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28394527, 56789046, 85183565, 113578084, 141972603, 170367122?\nAnswer: 198761641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 21*j + 38. Calculate the common denominator of 68\/711 and b(7).\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2*h**3\/3 - 47. Let f(m) = 0*m + 2*m + 2*m. What is i(f(c))?\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34680252 and 624?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 4*j**2 + 14*j - 14. What is q(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1921 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = 5780*b - 5750*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*120*(-1)\/2. Suppose 6*c + 40 = q + 2*c, 3*q = 4*c + w. Solve -5*m - q = 4*v, 4*v + 30 = -5*m + 2*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in -13\/4, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*v - 5, 0*l - 3*l + 40 = -5*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/24 + 7\/4)*-2. Let j(i) = i**2 + i + 1. Let k be j(0). Which is the closest to k? (a) l (b) -0.1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 5*v**4 + 2*v**4 + (2*v**3 + 3*v**3 - 2*v**3)*(v - 3*v + 3*v) + (0*v**3 + v**3 - 3*v**3)*(v - 4*v + 4*v)*(0 + 5 - 6).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:20 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3)\/(108\/72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1884.\nAnswer: -5\/1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 13*w - 2*b + 28 = 0, -18 = -2*w + b. Sort w, 1\/3, 1\/9, 4 in ascending order.\nAnswer: 1\/9, 1\/3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*k = -18, f + 4*k = -f + 12. Let y = -3 + f. Suppose y*x + 3*s - 326 = -0*x, x + s - 66 = 0. Calculate the greatest common divisor of 96 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*t - 432 + 99 - 109 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.481 - -0.081. Let h = -1.39826 - s. Round h to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-4) - 4)*3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/15)\/((-40)\/100)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*63\/14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -54, 3, -1, 4 in decreasing order.\nAnswer: 4, 3, -1, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = -5*q - 1478. Let f = 146 + q. Round f to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58, -4, 204, 632, 1346?\n\"Answer: 11*r**3 + 11*r**2 - 56*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 5. Let i be (-1 + -2 - -3)\/(-2). Let o be m(i). Let y be ((-9)\/2 - -2)*6\/o. Solve y*x = -3*p + 15, 2*x + 4*p = -0*x + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 2*i - 3*i)*(39 + 30 - 67 + 258*i) in the form f*i**2 + r*i + z and give f.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02627 and 5.\nAnswer: 0.13135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*g - g**3 - 265*g + 165*g - 603*g + 3*g**2 as b*g**3 + l*g + u + n*g**2 and give l.\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3, -3922 + 615 = -5*m + 2*k. Calculate the remainder when m is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 4, -104 in descending order.\nAnswer: 83, 4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3294665 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6946.7562 minutes?\nAnswer: 4.82413625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835 + 843 = 6*v - 2*k, -3 = 2*v + 5*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + -4. Let g = l - -23. Put 5, g, 8 in decreasing order.\nAnswer: 8, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2 - v + 0*v - 2*v. Let t(y) = 4*y + 2. Let r(x) = -3*p(x) - 2*t(x). Let c be r(2). Solve n = c*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -188, -275, -356, -431, -500?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(3 + 2*f - 3) + 289 - 289 + 246*f - f + 3*f - f + (2*f + 1 - 1)*(-1 - 4 + 3) + 2*f - 3*f + 2*f.\nAnswer: 242*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0411353818242 take away 3?\nAnswer: -3.0411353818242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2826813, -5653560, -8480305, -11307048, -14133789?\nAnswer: -16960528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4126737*t**3 + 7364807*t wrt t.\nAnswer: 24760422*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12473 - 3?\nAnswer: 12470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/(-106) - 2*11559\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -63. Suppose 30*z + d = -25. What is the closest to -1 in -2, z, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/q**17)*q\/(q*q**(-10))*(q**(-6)*q)**(-14\/11) assuming q is positive.\nAnswer: q**(356\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -0.042 (c) 2\/9 (d) 3 (e) -0.08 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - j = -j. Let p(g) be the third derivative of -4*g**2 + 0*g**4 + 0*g + 0*g**5 + 1\/30*g**6 + j - 2\/3*g**3. Differentiate p(w) wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57\/52 - -11\/13. Let f = 2 - 4. Let a = f - -2.2. Is z less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 1. Let h(z) = 12*z**2 - 10*z - 14. Calculate -h(i) - 10*l(i).\nAnswer: -12*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 11003?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10224 + 4449 = f, -4*i = 5*f - 14661. What is the highest common divisor of i and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2722.23 + 2739. Let v = 1.27 - q. Round v to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10563 - 300912405.\nAnswer: -300901842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 + 88*d + 23. Give w(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 2*t**2 - 5*t - 3. Let s be v(-3). Suppose -111 = -s*m - 0*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15467, -30941, -46415, -61889?\n\"Answer: -15474*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1222\/415069 or -1?\nAnswer: 1222\/415069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 + 2 + 4*j**2 - j**2 - 4*j**2 as w*j**2 + m*j + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 31 = -11 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, p: 2, q: 1, t: 5, w: 2}. Give prob of picking 1 q and 1 b.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-3)*(-4)\/(-6). Let u = c - -6. Put u, -4, 5 in ascending order.\nAnswer: -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 6*k**2 - 12*k + 1. Let t = -13 - -21. Is g(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/3 - 9*i + 28\/3 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6988 = -98*i + 215*i + 85. What is the greatest common divisor of 3776 and i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Let f(c) = 2*c**3 + 4*c**2 + 2*c - 1. Let o be f(-2). Sort 0.4, o, y in ascending order.\nAnswer: o, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30294779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*v = -51 - 2, -a + 4*v = -10. Let x = -6 + a. Suppose 0 = b - 5*b + x. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -6520, -2, 51 in increasing order.\nAnswer: -6520, -2, 1, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((210\/(-1005))\/(-14)*(-1)\/(2\/2))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104112 (base 5) in base 9?\nAnswer: 5013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -379015, -758028, -1137043, -1516060, -1895079, -2274100?\n\"Answer: -n**2 - 379010*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 3*w + 9, -w + 0 = -2*h - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 - 1.2. Let h = 0.01 + 0.01. Let g = h - -0.08. Which is the smallest value? (a) g (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -451, -659, -623, -343?\n\"Answer: 122*z**2 - 574*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -404413140 + -2?\nAnswer: -404413142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 4*g**2 - 9*g**2 to the form k + m*g**2 + f*g and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7211032 or 7211033?\nAnswer: 7211033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 164029.23?\nAnswer: 32805.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 179\/2 + (1 - (-3)\/(-6)). Suppose 7*i - g = 2*i. Suppose 4*n - 22 = d, 4*n - i = 2. Sort 9, d, -3.\nAnswer: -3, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101222220021 (base 3) to base 13\nAnswer: 77692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-50))\/((-3)\/36) - -17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-15)\/6)\/(-5)). Suppose 0 = y - a*g - 73, 4*y - 4*g = -5*g + 256. List the prime factors of y.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-21))\/(34 - (-199)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d - 1\/210*d**7 + 1\/12*d**4 + 0*d**5 + 0 + 0*d**3 + 0*d**6 - 3*d**2. Find the second derivative of w(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 4180?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) - 1*sqrt(140)) + (sqrt(70)*2 - sqrt(70) - sqrt(70))\/sqrt(2))\/(-4*-2*sqrt(567)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 2. Let l(i) = -i**3 + 6*i**2 - i + 6. Let j be l(y). Let f be (1 + j)\/(-1)*-10. What is the greatest common factor of f and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -1.9. Let s = 3037\/4551 - 1\/1517. Which is the closest to g? (a) 4 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329794123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -47*d**2 - 706*d + 45. What is s(-15)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27541 is divided by 2503.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42525 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.4308939 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 4*o - 4. Let t be p(4). Let s = -10 + 5. Suppose -3*z = 3, -z - z - 2 = r. Put t, r, s in descending order.\nAnswer: r, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*g - 23 = 0, 5*r - 4*g = -423 + 444 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2 - 120*x - 644 = 0.\nAnswer: -23, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**3*l**2 + 3058*h**3*l - 29692*h**2 - 2*l**2 + 5 wrt h.\nAnswer: -90*l**2 + 18348*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(891) + (6*-1*sqrt(891))**2).\nAnswer: 36*sqrt(11) + 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -133, 0, -5, 20, -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = k + k + z, 2*z - 55 = -k. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4) - (-14)\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let i = j - -5. Let n = i - 1. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 858*a - 853*a + 66, -8*a + 16 = 0. Calculate the lowest common multiple of j and 350.\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-63)\/12))\/((-112)\/(-392)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28 and 0.13.\nAnswer: -27.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/((-26)\/(-195)). Suppose 0 = -3*v + 6, -5 = -t + 5*v - f. Suppose 0 = 3*l + 12 + 3. Put 2, t, l in decreasing order.\nAnswer: t, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/6 - 4*y**2 + 107*y. Let x be f(-13). Solve -7*d - x = -6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 25*f**3 - 3 + 3*f - 3*f**2 - 24*f**3.\nAnswer: (f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161643 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0) + -5 + 1 + 4. Suppose r = 5*d + 15, d - 34 = -v + 75. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 28*l**2 + 31*l - 43. Let v be u(29). Is 9 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**3 - 2*k + 1. Let l be f(1). Let a(r) = 2*r**2 + r - 12. Let b be a(l). Suppose 0*z - 4*z = -b. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1 + 1. Let d be 6*(1 + (-37)\/s). Suppose -6*u = -o - u + 9, -u = -5*o + d. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a (base 11) in base 5?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78)*2*-3)\/sqrt(6).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3762 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.346 and -0.0303.\nAnswer: -0.3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9541524566351 less than -94?\nAnswer: -9541524566445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1020*b**5*o + 1056*b**3*o - 6566524*b**2*o wrt b.\nAnswer: -61200*b**2*o + 6336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**3 + 2*d**2 + 5*d + 4. Let z = 85 - 86. Let o be f(z). Which is the closest to 0.1? (a) o (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39287*0.5.\nAnswer: -0.196435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4*(-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972\/48*92\/3 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - -53) + 8 + -9 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -7\/3 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*(-3)\/18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, 209, 460, 821, 1298?\n\"Answer: i**3 + 46*i**2 + 2*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*n**(-18))\/n)))\/(n*(n**13\/n)\/n))**45 assuming n is positive.\nAnswer: n**(-1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ac (base 15) in base 7?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + 2*v**2 - 2*v + 4. Let i = 507 + -512. Let l(n) = -5*n**3 + 5*n**2 - 5*n + 9. What is i*u(d) + 2*l(d)?\nAnswer: 5*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 11) to base 2\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2553190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (2 + 1) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3\/2 + 55145*a**2\/2 + 797500*a = 0. What is a?\nAnswer: -11000, -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 243 (c) 0.4 (d) 2\/7 (e) 524\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/10 - 43*q**4\/4 - 61*q**3\/3 + 3*q**2 + 384*q. Find the second derivative of d(j) wrt j.\nAnswer: 12*j - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-401088)\/(-83560)*7\/(-24)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n. Let x(k) = -7*k + 1. Suppose -4*l = -6*l - 70. Let s = l + 29. Calculate s*i(t) - 2*x(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 8*c**2 - 7*c - 11. Let r be u(-8). Suppose -4*m + r = m. Solve -4*z = -m*z - 25, -2*b - z = -3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 79\/26, -14, -10.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13. Let q(v) = v**2 + v + 3. Let s be q(a). Put -1, s, 1 in decreasing order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977, -933, -835, -665, -405, -37?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 560*r - 5*r**2 - 2*r**2 - 2 - 560*r to the form s*r + t*r**2 + z and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Let i = 19.3 - 18.7. Which is the closest to p? (a) 4 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 2*j**2 - 2*j + (-25 - 8*j + 25)*(-6*j - 15 + 15).\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + o + 1. Suppose 3*u - 2 = 5*u. Let m be d(u). Solve -m*c = -7*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y - 4. Suppose -2*g - g = 0. Determine q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 135.616475?\nAnswer: 135.616475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/4 + (-4)\/(-2). Let t be 1\/(v\/4 + -2). Suppose t*c + 1 + 5 = 0. Are -6 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -78593 (b) -38 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9347, -18743, -28093, -37373, -46559, -55627, -64553?\nAnswer: -73313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 714 - 512. What is the remainder when s is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6095 - 2994. Suppose -12*r + i = -5*r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6333 * -2.\nAnswer: -12666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138 plus 13?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -245*c**3\/3 - c**2\/2 - 2*c. Suppose 15*l = 2*l - 13. Is i(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s - 1. Suppose 3*l - l - 3*p = -3, -3*p + 3 = 2*l. Suppose l = -a - 3*a + 148. Calculate the remainder when a is divided by u(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-264)\/40)\/(1\/(-5)) - -6. Let a be 4\/(-2) + (-394)\/(-2). Calculate the highest common divisor of a and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131637 + -93349. List the prime factors of a.\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2705 divided by -2705.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(((-88)\/66)\/((-44)\/6)). Suppose 5*g - 5*l - w + 1 = 0, -5*g + 37 = 4*l. Solve 2*v - 31 = 5*f - 2*v, -19 = g*f - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 158298, 316608, 474918, 633228, 791538, 949848?\n\"Answer: 158310*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -13*z. Let l be 6 + (-2079)\/318 + (-1)\/(-2). Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, q: 4, w: 5, o: 3}. Give prob of picking 2 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196\/3 + 7856\/(-1473) and 444.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 9*l - 2. Let o be j(-5). Let q(r) = 3*r**2 + 0*r**2 - 15*r**2 - 2 + r**o + 7*r**2 + 4*r. Determine q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6789 and 949?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/2, -0.4, -2\/9, -4, 38, 19?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 468*w**2 + 1836*w + 1824.\nAnswer: 3*(w + 2)**2*(w + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(-1) - -1. Let l = -20 + 20.44. Let z = 0.06 + l. What is the closest to 2 in z, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -569 (b) 2\/13 (c) 0.4 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 976 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(810\/144).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + v + 4. Let f(o) = -3*o**2 + 2*o + 5. Let l(x) = -6*f(x) + 7*i(x). Let j be l(2). Calculate the highest common factor of j and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 7. Let o be s(3). Differentiate 16 - 7*l**4 + 6*l**o + 0*l**4 wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, 0.3 in increasing order.\nAnswer: 0.3, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - -2*(-2)\/(-4). Suppose -12 = f - a*f. Calculate the smallest common multiple of f and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/3 + 2*r. Let b(k) = 7*k - 4. Let t(d) = -27*d + 15. Let p(f) = -15*b(f) - 4*t(f). Determine p(i(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 1430387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7384, 14750, 22116, 29482, 36848, 44214?\n\"Answer: 7366*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. What is the remainder when (u\/(-4))\/((-2)\/102) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let o(i) = -22 - i**2 + 20 + 0*i**2 + 3*i. What is 5*j(p) - o(p)?\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 26 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 3, s: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*b**2 - 9*b**2 - 21*b**2 + 9*b**4 + 3 - 57*b**6 - 9*b**4 wrt b.\nAnswer: -6840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 37*z - 3. Let p(f) = -12*f + 1. Let j(x) = 6*c(x) + 17*p(x). Does 17 divide j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -221 + 134. Let i = -66 - a. What is the highest common divisor of 189 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1069765\nAnswer: 8\/1069765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542*d = 93*d + 2595220. Calculate the smallest common multiple of 2890 and d.\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:13 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.32 and 2.8.\nAnswer: -0.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 1.066\nAnswer: -7.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:44 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1461512628, 1461512627, 1461512626, 1461512625, 1461512624?\n\"Answer: -x + 1461512629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 3*o)*(1 - o - 1) - 357*o**2 + 355*o**2 + 316*o - 37*o.\nAnswer: -3*o**2 + 279*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*v**5 - 2*v**3 + 5620*v**2 - 3255281*v.\nAnswer: 2500*v**3 - 12*v + 11240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 968 - 555. Let b = v + -385. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-21) + 9\/((-108)\/(-16)). Let r(j) = 8*j**3 + j**2 - j + 1. Calculate r(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 77?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2853*f**3 - 1754 + 585 - 2855*f**3 + 582 - 12*f + 587.\nAnswer: -2*f**3 - 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*t - 3*t + 5*t.\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g + 1. Let t be q(-3). Suppose c - n = n - 8, -2*n = -t*c - 8. Suppose 3*a + a + 592000 = c. What is a rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3321\/225299?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/237 + -253\/1896. Let l = -2.65 - 0.35. Put l, g, -4\/5 in ascending order.\nAnswer: l, -4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16428863?\nAnswer: 11, 19, 78607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 + -42. Suppose -107 - x = -5*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*f - 210*f - 120 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 427 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 -9391992*x**2 + 5139*x - 359?\nAnswer: -18783984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -558261 take away 317?\nAnswer: -558578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 24*v + 26*v + 112226, -3*u - v + 112241 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*h*i**4*q + h*i**2 - 8*h*q + 6*h + 4*i**2*q - 4*q wrt i.\nAnswer: 220*h*i**3*q + 2*h*i + 8*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2556 < -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/182 and -55\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:34 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q + q + 4 + 2*q**2 + q**3 + 0*q. Suppose x(w) = 0. Calculate w.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3926381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/5 + g**3 - 4*g**2\/5 - 4*g = 0.\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21606, 89279, 202078, 360003?\nAnswer: 563054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62707 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a + 5*z - 1646, 4*a - 5*z = 1666. Let b be ((-4)\/(-10))\/(a\/(-60) + 5). Sort b, -0.5, -0.2, -2\/17 in increasing order.\nAnswer: -0.5, b, -0.2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -419 + -121. Let z = i + 543. Solve 3*r - 5*r + 6 = 0, -3*r = z*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2133*m + 605755. Calculate r(284).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-11 - 2)) + (-6 - -5). Suppose m = 4, 2*r - l - 17 = -2*m. Solve y + r = -y + 4*v, y = 3*v - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*3\/(135\/10). Let a be (-18)\/(-9) - 0\/y. Calculate the remainder when (-3)\/a*(-39 + 3) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5383937 and 377?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2*k**3 - 2*c**2*k**2*t + 230*c**2*t**2 + 11*c*k**3*t**2 + 2*k**4*t wrt k?\nAnswer: 18*c**2 + 66*c*t**2 + 48*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*m + 6 + 3, -4*z = -m + 13. Suppose -m*t = -755 + 190. Suppose -3*q + q + 226 = b, b = q - t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.68 and 0.3.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20912 and 26140?\nAnswer: 104560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 28. Let v(h) = -h**3 + 5*h**2 + 2*h + 4. Let f be v(4). Suppose 5*q = j + 10, -5*j + f = -3*q - p. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4 - (6 - 20)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-14))\/(4\/(-14)). Suppose 0 = -4*t + u*v + 6, -3*v - 2*v = 4*t + 15. Factor -3*w + w + 2*w**3 + t*w.\nAnswer: 2*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by -1.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*x + 655, 2*s - 4*x - 256 = -0*s. Calculate the remainder when s is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*a = 3, 2*a + 6 = 3*r - 58. Calculate the smallest common multiple of r and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-3))\/((-4)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2126 + -2109. What is the remainder when 315 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**2*d + 119993*a**2 - 2363128*a*d wrt a.\nAnswer: -10*d + 239986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.722mm to nanometers.\nAnswer: 57722000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5194805 + 0 - (-12 - -8) - (-29 + 28). What is w rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {n: 2, y: 2, d: 2, b: 3}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 75?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192*v**2 + 593 wrt v.\nAnswer: 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -22*g**2 + 5*g - 280. Let v(x) = -4*x**2 + x - 2. What is s(j) - 5*v(j)?\nAnswer: -2*j**2 - 270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 82*z - 476.\nAnswer: -2*(z - 34)*(z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 71430520\/(-308) - (-6)\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)\/z**(1\/9)*(z\/z**7)\/(z*z\/z**12) assuming z is positive.\nAnswer: z**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -44 - 19. Let s = -58 - n. Suppose 0 = k + 2*k + 5*p + 29, 52 = -4*k - 4*p. Put s, k, -4 in descending order.\nAnswer: s, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - ((-1071360)\/870)\/24?\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 != -253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-936)\/(-48))\/(2 - 11) + 2)*-3. Sort -0.2, c, -312, -4 in decreasing order.\nAnswer: c, -0.2, -4, -312","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g - 94. Let b(n) = 26*n + 186. Let h(x) = -3*b(x) - 5*w(x). Give h(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402131 - -34?\nAnswer: 402220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(3312\/(-12))*-230.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 - (-1292)\/52 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18216 divided by -6\nAnswer: -3036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, e: 5, a: 2}. What is prob of picking 1 e and 2 a?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (sqrt(684) + 0 - sqrt(684))*-4 + (sqrt(684) - (-5*sqrt(684)*-3)**2) + 0.\nAnswer: -153900 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -2\/5*u**5 + 14\/9*u**3 - 3 - 1\/6*u**4 + 0*u**2 + 1\/9*u**6 - 8\/3*u. Determine k so that t(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -91, 10, 1.\nAnswer: -91, -51, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29131106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 - 3*a**2 + 0 + 2*a**2. Let p(l) be the first derivative of l**3 - 4*l - 1\/2*l**2 - 9. Give -2*p(i) - 5*v(i).\nAnswer: -i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428837*p**6 - 161*p**5*v - 5*p**2 + 1924156*v - 1 wrt p?\nAnswer: -51460440*p**3 - 9660*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6)*10\/3. Suppose 0*w = 5*t + 5*w, 2*w + 21 = p*t. Which is the closest to -3? (a) 1\/2 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 3*j - 3*j)*((2 - 2 - 3)*(-5 - 3 + 6) + 4 + 2 - 2) + 2*j + 6 + 1 - 11 as u*j + d and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 + -3.4. Let t = -0.7 - 3.3. Let m = t + 9. What is the third biggest value in m, 2\/13, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166)\/((-498)\/(-2988) + (-6)\/((-108)\/33))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25933625 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 415. Calculate the remainder when z(-58) is divided by 152.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -214 - -236. Solve -35 = -15*s + b*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(500)*1 + sqrt(500))**2*1.\nAnswer: 12496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-3)*60\/(-35).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 (base 6) in base 11?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let v be q\/(-3)*(-11 + 5). Find the second derivative of m**5 + m - v*m**5 - m**5 wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-5))\/((-1)\/5). Suppose 0 = -4*m + 3*c - c - 2, 0 = 5*m + 2*c + 7. Let v(n) = 2*n**2 - 2*n - 2. Let o be v(m). Solve -o*j - 20 = a*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + r**3 - 2 + (-2*r + 2*r + r)*(3*r**2 - r**2 - r**2) - 56*r**3 + 748 - 748 + r.\nAnswer: -54*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*g - 42*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 3*v - 1, 0 = -3*v - 3. Suppose 0 = -98*j - 930 + 5438. Calculate the remainder when j is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22)*-1)\/(sqrt(396) - (sqrt(396) - (sqrt(396) + (sqrt(396) - sqrt(396)*-1 - sqrt(396)) + sqrt(396))) - sqrt(396)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16989 - -17077. Solve 0 = -b + 91*y - m*y - 12, 4*b - 5*y = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12600 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Suppose 5*o + 3 = -h, 0 = -z*h - 0 - 6. Suppose 3*d - 493 = -4*l, 4*l - 4*d = -o*d + 528. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4044053 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 171, -27 in decreasing order.\nAnswer: 171, 4, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -11, 4 in increasing order.\nAnswer: -11, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310000 rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202212 - -2?\nAnswer: 10202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**3 + z**2 + 28. Let i(y) = -9*y**3 - 54. Let o(f) = 4*i(f) + 7*q(f). Calculate o(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 - 13*m - 6*m + m**4 - 1 + 20*m + 2*m**3 to o*m**2 + w + y*m**3 + t*m + i*m**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6666872 kilometers to centimeters.\nAnswer: 66668.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1589, 3450, 5585, 7994, 10677, 13634?\nAnswer: 16865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let u(c) = -52 + 38*c + 29*c + 9*c**2 - 67*c. What is k(u(b))?\nAnswer: -162*b**4 + 1872*b**2 - 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7313112.\nAnswer: 2, 3, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 + 5*t - 1. Let b(k) = k**2 - k + 1. Suppose 7426 = -4*o + 7430. Give o*j(w) + 5*b(w).\nAnswer: w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -3*k**2\/2 - 21. Let t(r) = 6*r**2 - 3. Determine t(d(f)).\nAnswer: 54*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -3*x - 4*s - 374, -4*s - 2 = 2*x. Factor 0 - 2\/7*v**2 + 5\/7*v**x + 0*v.\nAnswer: v**2*(5*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 4. Let s = -7 + 4. Let b be g(s). Factor -8*r - 40*r**b - 74*r**3 - 13*r**4 + 0*r - 47*r**4 - 18*r**5.\nAnswer: -2*r*(r + 1)**2*(3*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1615*s + 1611*s + 3*i - 487461 = 0, -5*s = -2*i + 609314. Round s to the nearest one thousand.\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99479, 198949, 298419?\n\"Answer: 99470*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234989 is divided by 662.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(3\/(9465\/10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4670, -4669, -4668, -4667?\n\"Answer: r - 4671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -103. Let b be -1 + 9\/(-2 + 5). Put 5, c, b, 1 in ascending order.\nAnswer: c, 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/(-6) + 5 - -12. What is the highest common divisor of i and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:55 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = v - 4, -14*v - 3 = -2*j - 9*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(33*u**4 + 95*u**4 + 211*u**4) + u**4 + u**4 - u**4 as k*u**4 + t*u**2 + p*u**3 + j*u + h and give k.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1399, -2661, -3923?\nAnswer: -5185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27756869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 230, 127, -102, -499?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 4 + 4)*(-5 + 1 + 2 + 1 + 2 - 1 + (5 - 1 - 2)*(2 + 1 - 4) - 3 + 4 + 0 + 0 + 1 + 7).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -75*a**3 - 54*a**2 + 6*a - 14. What are the prime factors of b(-4)?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -7*j + 92. Suppose 34 + 1 = 5*s. Let y(c) = -c**3 + 9*c**2 - 8*c + 7. Calculate the remainder when y(s) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-56)\/12)\/(2\/(-3)). Suppose 3*h - 330 = -d*h. Let h*l**2 - 113*l**2 + 35*l**2 + 30*l**2 + 12*l**3 + 3*l = 0. What is l?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(325) + sqrt(325) + -1 + -4 + 5)**2 + 2.\nAnswer: 40*sqrt(13) + 1306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1636351368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = -1 + 76. Solve -5*j - z = r + 9, -2*r - 5*j = 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) -0.4 (b) -2 (c) -3\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, 185, 584, 1181, 1976?\n\"Answer: 99*t**2 - 96*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/42 - ((-2)\/10)\/((-63)\/(-45)). Let u(q) be the third derivative of 0*q**3 + 7*q**2 - g*q**4 + 1\/24*q**6 + 0*q + 3\/10*q**5 + 0. What is y in u(y) = 0?\nAnswer: -4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let c = -7 - -5. Suppose 8*u = 3*u. Put c, y, u in increasing order.\nAnswer: c, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 + n**2 + 2*n - 8. Let s be p(-3). Let r = s + -128. Solve 2*a = 2 + r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a + 2. Let l(f) = 8*f + 2. Let r(z) = -7*d(z) + 6*l(z). Is r(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 7*a**6\/60 + a**5\/20 - 2*a**2 + 28. Let t(m) be the second derivative of i(m). What is the third derivative of t(f) wrt f?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 326 + -4240\/13. Put 1\/2, w, 4\/5, -0.5 in ascending order.\nAnswer: -0.5, w, 1\/2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9717123.03 rounded to the nearest 100000?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38078161 to the power of 1\/2, to the nearest integer?\nAnswer: 6171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 2*y**2 + 229*y + 121. Determine a(11).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}